Finite Group Databasebeta

← #16071822

Subgroups — #16071822

Order 3328.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 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#13122687C211yesmaximal, characteristic, complemented
4#13122549C211yesmaximal, characteristic, complemented
5#13122160C211yesmaximal, characteristic, complemented
6#13122115C211yesmaximal, characteristic, complemented
7#13122098C211yesmaximal, characteristic, complemented
8#13122061C211yesmaximal, characteristic, complemented
9#13121934C211yesmaximal, characteristic, complemented
10#13121563C211yesmaximal, characteristic, complemented
11#13121563C211yesmaximal, characteristic, complemented
12#13121531C211yesmaximal, characteristic, complemented
13#13121486C211yesmaximal, characteristic, complemented
14#13121426C211yesmaximal, characteristic, complemented
15#13121271C211yesmaximal, characteristic, complemented
16#13121096C211yesmaximal, characteristic, complemented
17#13121096C211yesmaximal, characteristic, complemented
18#13121074C211yesmaximal, characteristic, complemented
19#13120611C211yesmaximal, characteristic, complemented
20#13120574C211yesmaximal, characteristic, complemented
21#13120055C211yesmaximal, characteristic, complemented
22#13119798C211yesmaximal, characteristic, complemented
23#13118376C211yesmaximal, characteristic, complemented
24#13118376C211yesmaximal, characteristic, complemented
25#13118294C211yesmaximal, characteristic, complemented
26#13118294C211yesmaximal, characteristic, complemented
27#13118186C211yesmaximal, characteristic, complemented
28#13117541C211yesmaximal, characteristic, complemented
29#13117463C211yesmaximal, characteristic, complemented
30C2×#11718881C211yesmaximal, characteristic, complemented
31C13×#2433C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C2×C13×#127C2211yescharacteristic
35C2×C13×#127C2211yescharacteristic
36C2×C13×#121C2211yescharacteristic
37C2×C13×#120C2211yescharacteristic
38C2×C13×#120C2211yescharacteristic
39C2×C13×#120C2211yescharacteristic
40C2×C13×#120C2211yescharacteristic
41C2×#88207C2211yescharacteristic
42C2×#88207C2211yescharacteristic
43C22×C22⋊Dic13C2211yescharacteristic
44C22×C22⋊Dic13C2211yescharacteristic
45C22×C22⋊Dic13C2211yescharacteristic
46C2×#88193C2211yescharacteristic
47C2×#88193C2211yescharacteristic
48C2×#88193C2211yescharacteristic, complemented
49C2×#88193C2211yescharacteristic, complemented
50C2×#88193C2211yescharacteristic, complemented
51C2×#88193C2211yescharacteristic, complemented
52C2×#88192C2211yescharacteristic
53C2×#88192C2211yescharacteristic
54C2×#88189C2211yescharacteristic, complemented
55C2×#88189C2211yescharacteristic, complemented
56C2×#88189C2211yescharacteristic, complemented
57C2×#88189C2211yescharacteristic, complemented
58C2×D4×Dic13C2211yescharacteristic
59C2×D4×Dic13C2211yescharacteristic
60C2×C4×C22⋊D13C2211yescharacteristic
61C13×#392C2211yescharacteristic
62C13×#392C2211yescharacteristic
63C13×#392C2211yescharacteristic
64C13×#392C2211yescharacteristic
65C13×#390C2211yescharacteristic
66C13×#390C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718908C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718884C2211yescharacteristic
72#11718884C2211yescharacteristic, complemented
73#11718884C2211yescharacteristic, complemented
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#11718883C2211yescharacteristic, complemented
85#11718883C2211yescharacteristic, complemented
86#11718883C2211yescharacteristic, complemented
87#11718883C2211yescharacteristic, complemented
88#11718883C2211yescharacteristic, complemented
89#11718883C2211yescharacteristic, complemented
90#11718883C2211yescharacteristic, complemented
91#11718883C2211yescharacteristic, complemented
92#11718882C2211yescharacteristic
93#11718882C2211yescharacteristic
94#11718881C2211yescharacteristic
95#11718881C2211yescharacteristic
96#11718881C2211yescharacteristic
97#11718881C2211yescharacteristic
98#11718881C2211yescharacteristic
99#11718881C2211yescharacteristic
100#11718881C2211yescharacteristic
101#11718881C2211yescharacteristic
102#11718881C2211yescharacteristic
103#11718881C2211yescharacteristic
104#11718881C2211yescharacteristic
105#11718881C2211yescharacteristic
106#11718881C2211yescharacteristic, complemented
107#11718881C2211yescharacteristic, complemented
108#11718881C2211yescharacteristic, complemented
109#11718881C2211yescharacteristic, complemented
110#11718881C2211yescharacteristic, complemented
111#11718881C2211yescharacteristic, complemented
112#11718881C2211yescharacteristic, complemented
113#11718881C2211yescharacteristic, complemented
114#11718881C2211yescharacteristic, complemented
115#11718881C2211yescharacteristic, complemented
116#11718873C2211yescharacteristic
117C2×#88071C2211yescharacteristic
118C2×#88071C2211yescharacteristic
119#11718654C2211yescharacteristic, complemented
120#11718642C2211yescharacteristic, complemented
121#11718642C2211yescharacteristic, complemented
122#11718641C2211yescharacteristic, complemented
123#11718622C2211yescharacteristic, complemented
124#11718622C2211yescharacteristic, complemented
125#11718620C2211yescharacteristic, complemented
126#11718620C2211yescharacteristic, complemented
127#11718619C2211yescharacteristic
128#11718619C2211yescharacteristic
129#11718619C2211yescharacteristic, complemented
130#11718619C2211yescharacteristic, complemented
131#11718618C2211yescharacteristic, complemented
132#11718618C2211yescharacteristic, complemented
133#11718617C2211yescharacteristic, complemented
134#11718617C2211yescharacteristic, complemented
135#11718614C2211yescharacteristic, complemented
136#11718614C2211yescharacteristic, complemented
137#11718613C2211yescharacteristic, complemented
138#11718613C2211yescharacteristic, complemented
139#11718613C2211yescharacteristic, complemented
140#11718613C2211yescharacteristic, complemented
141#11718613C2211yescharacteristic, complemented
142#11718613C2211yescharacteristic, complemented
143#11718612C2211yescharacteristic, complemented
144#11718612C2211yescharacteristic, complemented
145#11718611C2211yescharacteristic, complemented
146#11718611C2211yescharacteristic, complemented
147#11718610C2211yescharacteristic, complemented
148#11718610C2211yescharacteristic, complemented
149#11718609C2211yescharacteristic, complemented
150#11718609C2211yescharacteristic, complemented
151#11718607C2211yescharacteristic
152#11718607C2211yescharacteristic
153#11718607C2211yescharacteristic
154#11718607C2211yescharacteristic
155#11718607C2211yescharacteristic, complemented
156#11718607C2211yescharacteristic, complemented
157#11718606C2211yescharacteristic, complemented
158#11718606C2211yescharacteristic, complemented
159#11718605C2211yescharacteristic, complemented
160#11718605C2211yescharacteristic, complemented
161#11718605C2211yescharacteristic, complemented
162#11718605C2211yescharacteristic, complemented
163#11718605C2211yescharacteristic, complemented
164#11718605C2211yescharacteristic, complemented
165#11718604C2211yescharacteristic, complemented
166#11718604C2211yescharacteristic, complemented
167#11718603C2211yescharacteristic
168#11718603C2211yescharacteristic
169#11718603C2211yescharacteristic, complemented
170#11718603C2211yescharacteristic, complemented
171#11718601C2211yescharacteristic, complemented
172#11718601C2211yescharacteristic, complemented
173#11718594C2211yescharacteristic, complemented
174#11718594C2211yescharacteristic, complemented
175#11718594C2211yescharacteristic, complemented
176#11718594C2211yescharacteristic, complemented
177#11718594C2211yescharacteristic, complemented
178#11718594C2211yescharacteristic, complemented
179#11718328C2211yescharacteristic, complemented
180#11718325C2211yescharacteristic, complemented
181#11718321C2211yescharacteristic, complemented
182#11718321C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718318C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718311C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C25×C13C2311yescharacteristic
189C22×D4×C13—24no—
190C22×D4×C13—42no—
191C22×D4×C13—42no—
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
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
207C23×C4×C13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C22×C22⋊D13C2311yescharacteristic
215C23×Dic13—42no—
216C23×Dic13—42no—
217C23×Dic13—42no—
218C23×Dic13C2311yescharacteristic
219C23×Dic13C2311yescharacteristic
220C23×Dic13C2311yescharacteristic
221C23×Dic13C2311yescharacteristic
222C23×Dic13C2311yescharacteristic
223C23×Dic13C2311yescharacteristic
224C23×Dic13C2311yescharacteristic
225C23×Dic13C2311yescharacteristic
226C23×Dic13C2311yescharacteristic
227C23×Dic13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C13×#127—42no—
230C13×#127—42no—
231C13×#121—24no—
232C13×#120—42no—
233C13×#120—42no—
234C13×#120—42no—
235C13×#120—42no—
236C2×C13×C4⋊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×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251#88207—42no—
252#88207—42no—
253C2×C22⋊Dic13—42no—
254C2×C22⋊Dic13—42no—
255C2×C22⋊Dic13—42no—
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
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
295#88193—42no—
296#88193—42no—
297#88193—42no—
298#88193—42no—
299#88193—42no—
300#88193—42no—
301#88192—42no—
302#88192—42no—
303#88189—42no—
304#88189—42no—
305#88189—42no—
306#88189—42no—
307D4×Dic13—42no—
308D4×Dic13—42no—
309C4×C22⋊D13—24no—
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×C4⋊Dic13C2311yescharacteristic
318C2×C4⋊Dic13C2311yescharacteristic
319C2×C4⋊Dic13C2311yescharacteristic
320C2×C4⋊Dic13C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×#6101C2311yescharacteristic
336C2×C4×Dic13C2311yescharacteristic
337C2×C4×Dic13C2311yescharacteristic
338C2×C4×Dic13C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
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#36794—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×C13C2411yescharacteristic
391C24×C13C2411yescharacteristic
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C24×C13C2411yescharacteristic
396C24×C13C2411yescharacteristic
397C23×D13C2411yescharacteristic
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—22no—
401C2×D4×C13—22no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—22no—
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—41no—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
421C2×D4×C13—41no—
422C2×D4×C13—41no—
423C2×D4×C13—41no—
424C2×D4×C13—41no—
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—41no—
442C2×D4×C13—41no—
443C2×D4×C13—416no—
444C22×C4×C13—41no—
445C22×C4×C13—41no—
446C22×C4×C13#4114yes—
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C22×C4×C13C2411yescharacteristic
454C22×C4×C13C2411yescharacteristic
455C2×C22⋊D13—22no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
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—
476C22×Dic13—22no—
477C22×Dic13—22no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—22no—
481C22×Dic13—22no—
482C22×Dic13—22no—
483C22×Dic13—22no—
484C22×Dic13—22no—
485C22×Dic13—41no—
486C22×Dic13—41no—
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—416no—
507C22×Dic13C2411yescharacteristic
508C22×Dic13C2411yescharacteristic
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
522C2×C4×D13—22no—
523C2×C4×D13—41no—
524C2×C4×D13—41no—
525C13×C4⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—41no—
531C13×C22⋊C4—41no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C42×C13—41no—
539C42×C13—41no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—41no—
551C22⋊Dic13—41no—
552C22⋊Dic13—41no—
553C22⋊Dic13—41no—
554C22⋊Dic13—41no—
555C22⋊Dic13—41no—
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—
579#6103—22no—
580#6103—41no—
581#6103—41no—
582#6103—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586C4⋊Dic13—41no—
587C4⋊Dic13—41no—
588C4⋊Dic13—41no—
589C4⋊Dic13—41no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—41no—
594#6101—41no—
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—
605C4×Dic13—22no—
606C4×Dic13—41no—
607C4×Dic13—41no—
608#2849—131no—
609#2847—131no—
610#2797—131no—
611#2786—131no—
612#2756—131no—
613#2753—131no—
614#2752—131no—
615#2749—131no—
616#2740—131no—
617#2709—131no—
618#2709—131no—
619#2706—131no—
620#2703—131no—
621#2699—131no—
622#2688—131no—
623#2673—131no—
624#2673—131no—
625#2671—131no—
626#2622—131no—
627#2617—131no—
628#2569—131no—
629#2543—131no—
630#2433D1311yescharacteristic, complemented
631#2424—131no—
632#2424—131no—
633#2418—131no—
634#2418—131no—
635#2408—131no—
636#2325—131no—
637#2318—131no—
638C2×#386—131no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—28no—
644C23×C13—21no—
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—21no—
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×C13C2×#4112yes—
698C23×C13H(5,𝔽2)12yes—
699C23×C13H(5,𝔽2)12yes—
700C23×C13H(5,𝔽2)12yes—
701C23×C13H(5,𝔽2)12yes—
702C23×C13C2511yescharacteristic
703C22×D13—21no—
704C22×D13—21no—
705C22×D13—21no—
706C22×D13—21no—
707C22×D13—21no—
708C22×D13—21no—
709C22×D13—21no—
710D4×C13—44no—
711D4×C13—44no—
712D4×C13—44no—
713D4×C13—44no—
714D4×C13—44no—
715D4×C13—44no—
716D4×C13—82no—
717D4×C13—82no—
718D4×C13—82no—
719D4×C13—82no—
720D4×C13—82no—
721D4×C13—82no—
722D4×C13—82no—
723D4×C13—82no—
724D4×C13—82no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
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—44no—
748C2×C4×C13C2×#4112yes—
749C2×C4×C13C2×#4112yes—
750C22⋊D13—44no—
751C22⋊D13—82no—
752C22⋊D13—82no—
753C22⋊D13—82no—
754C22⋊D13—82no—
755C22⋊D13—82no—
756C22⋊D13—82no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
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—44no—
802C2×Dic13—44no—
803C2×Dic13—44no—
804C2×Dic13—44no—
805C2×Dic13—44no—
806C2×Dic13—44no—
807C2×Dic13—82no—
808C2×Dic13—82no—
809C2×Dic13—82no—
810C2×Dic13—82no—
811C2×Dic13H(5,𝔽2)12yes—
812C4×D13—82no—
813C23×D4C2×D1311yescharacteristic
814C24×C4—131no—
815C2×#127C2×D1311yescharacteristic
816C2×#127C2×D1311yescharacteristic
817C2×#123—131no—
818C2×#123—131no—
819C2×#123—131no—
820C2×#123—131no—
821C2×#121—131no—
822C2×#121—131no—
823C2×#121—131no—
824C2×#121—131no—
825C2×#121—131no—
826C2×#121—131no—
827C2×#121—131no—
828C2×#121—131no—
829C2×#121C2×D1311yescharacteristic
830C2×#120—131no—
831C2×#120—131no—
832C2×#120C2×D1311yescharacteristic
833C2×#120C2×D1311yescharacteristic
834C2×#120C2×D1311yescharacteristic
835C2×#120C2×D1311yescharacteristic
836C2×C4×D4—131no—
837C2×C4×D4—131no—
838C2×C4×D4—131no—
839C22×C22⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842#400—131no—
843#400—131no—
844#399—131no—
845#399—131no—
846#398—131no—
847#398—131no—
848#398—131no—
849#397—131no—
850#397—131no—
851#397—131no—
852#397—131no—
853#397—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#396—131no—
859#396—131no—
860#394—131no—
861#394—131no—
862#394—131no—
863#394—131no—
864#394—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—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#392—131no—
880#392—131no—
881#392—131no—
882#392—131no—
883#392—131no—
884#392—131no—
885#392—131no—
886#392C2×D1311yescharacteristic
887#392C2×D1311yescharacteristic
888#392C2×D1311yescharacteristic
889#392C2×D1311yescharacteristic
890#390—131no—
891#390—131no—
892#390—131no—
893#390—131no—
894#390C2×D1311yescharacteristic
895#390C2×D1311yescharacteristic
896#388—131no—
897#388—131no—
898#388—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#387—131no—
909#387—131no—
910#387—131no—
911#387—131no—
912#387—131no—
913#387—131no—
914#387—131no—
915#387—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#385—131no—
945#385—131no—
946#385—131no—
947#385—131no—
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#383—131no—
953#382—131no—
954#381—131no—
955#381—131no—
956#381—131no—
957#380—131no—
958#380—131no—
959#380—131no—
960#380—131no—
961#380—131no—
962#380—131no—
963#379—131no—
964#379—131no—
965C4×C22⋊C4C2×D1311yescharacteristic
966C2×#95—131no—
967C2×#95—131no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—22no—
974C22×C13—22no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—416no—
981C22×C13—41no—
982C22×C13—41no—
983C22×C13—41no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
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—88no—
1018C22×C13#54014yes—
1019C22×C13C22×#4111yescharacteristic
1020C22×C13C2×H(5,𝔽2)11yescharacteristic
1021C22×C13C2×H(5,𝔽2)11yescharacteristic
1022C22×C13C2×H(5,𝔽2)11yescharacteristic
1023C22×C13C2×H(5,𝔽2)11yescharacteristic
1024C22×C13C2×H(5,𝔽2)11yescharacteristic
1025C22×C13#58511yescharacteristic
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C4×C13—22no—
1034C4×C13—22no—
1035C4×C13—41no—
1036C4×C13—41no—
1037C4×C13—41no—
1038C4×C13—41no—
1039C4×C13—41no—
1040C4×C13—41no—
1041Dic13—22no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048Dic13—41no—
1049Dic13—41no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056C25C22×D1311yescharacteristic
1057C25C22×D1311yescharacteristic
1058C22×D4—24no—
1059C22×D4—42no—
1060C22×D4—42no—
1061C22×D4—131no—
1062C22×D4—131no—
1063C22×D4—131no—
1064C22×D4—131no—
1065C22×D4—131no—
1066C22×D4—131no—
1067C22×D4—131no—
1068C22×D4C22×D1311yescharacteristic
1069C22×D4C22×D1311yescharacteristic
1070C22×D4C22×D1311yescharacteristic
1071C22×D4C22×D1311yescharacteristic
1072C22×D4C22×D1311yescharacteristic
1073C22×D4C22×D1311yescharacteristic
1074C22×D4C22×D1311yescharacteristic
1075C22×D4C22×D1311yescharacteristic
1076C22×D4C22×D1311yescharacteristic
1077C22×D4C22×D1311yescharacteristic
1078C22×D4C22×D1311yescharacteristic
1079C22×D4C22×D1311yescharacteristic
1080C22×D4C22×D1311yescharacteristic
1081C22×D4C22×D1311yescharacteristic
1082C22×D4C22×D1311yescharacteristic
1083C23×C4—131no—
1084C23×C4—131no—
1085C23×C4—131no—
1086C23×C4—131no—
1087C23×C4—131no—
1088C23×C4—131no—
1089C23×C4—131no—
1090C23×C4—131no—
1091C23×C4—131no—
1092C23×C4—131no—
1093C23×C4—131no—
1094C23×C4—522no—
1095C23×C4—522no—
1096C23×C4—522no—
1097C23×C4C22×D1311yescharacteristic
1098#127—42no—
1099#127—42no—
1100#123—522no—
1101#123—522no—
1102#123—522no—
1103#123—522no—
1104#121—24no—
1105#121—522no—
1106#121—522no—
1107#121—522no—
1108#121—522no—
1109#121—522no—
1110#121—522no—
1111#121—522no—
1112#121—522no—
1113#120—42no—
1114#120—42no—
1115#120—42no—
1116#120—42no—
1117#120—522no—
1118#120—522no—
1119C4×D4—264no—
1120C4×D4—522no—
1121C4×D4—522no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊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—522no—
1189C2×C22⋊C4—522no—
1190C2×C22⋊C4—522no—
1191C2×C22⋊C4C22×D1311yescharacteristic
1192C2×C22⋊C4C22×D1311yescharacteristic
1193C2×C22⋊C4C22×D1311yescharacteristic
1194C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1204C2×C42—131no—
1205C2×C42—131no—
1206C2×C42C22×D1311yescharacteristic
1207C2×C42C22×D1311yescharacteristic
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—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#95C22×D1311yescharacteristic
1243#95C22×D1311yescharacteristic
1244C2×C13—24no—
1245C2×C13—42no—
1246C2×C13—42no—
1247C2×C13—81no—
1248C2×C13—81no—
1249C2×C13—81no—
1250C2×C13—81no—
1251C2×C13C2×#54011yescharacteristic
1252C2×C13#349011yescharacteristic
1253C2×C13#350611yescharacteristic
1254C2×C13#353211yescharacteristic
1255C2×C13#353411yescharacteristic
1256C2×C13#353411yescharacteristic
1257C2×C13#353711yescharacteristic
1258D13—81no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—131no—
1274C24C23×D1311yescharacteristic
1275C24C23×D1311yescharacteristic
1276C24C23×D1311yescharacteristic
1277C24C23×D1311yescharacteristic
1278C24C23×D1311yescharacteristic
1279C24C23×D1311yescharacteristic
1280C24C23×D1311yescharacteristic
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—416no—
1327C2×D4—262no—
1328C2×D4—262no—
1329C2×D4—262no—
1330C2×D4—262no—
1331C2×D4—262no—
1332C2×D4—262no—
1333C2×D4—521no—
1334C2×D4—521no—
1335C2×D4—521no—
1336C2×D4—521no—
1337C2×D4—521no—
1338C2×D4—521no—
1339C2×D4—521no—
1340C2×D4—521no—
1341C2×D4—521no—
1342C2×D4—521no—
1343C2×D4—521no—
1344C2×D4—521no—
1345C2×D4—521no—
1346C2×D4—521no—
1347C2×D4—521no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—131no—
1351C22×C4—131no—
1352C22×C4—131no—
1353C22×C4—131no—
1354C22×C4—131no—
1355C22×C4—131no—
1356C22×C4—131no—
1357C22×C4—131no—
1358C22×C4—131no—
1359C22×C4—131no—
1360C22×C4—131no—
1361C22×C4—131no—
1362C22×C4—131no—
1363C22×C4—131no—
1364C22×C4—131no—
1365C22×C4—262no—
1366C22×C4—262no—
1367C22×C4—262no—
1368C22×C4—262no—
1369C22×C4—262no—
1370C22×C4—262no—
1371C22×C4—262no—
1372C22×C4—262no—
1373C22×C4—262no—
1374C22×C4—262no—
1375C22×C4—521no—
1376C22×C4—521no—
1377C22×C4—521no—
1378C22×C4—521no—
1379C22×C4—521no—
1380C22×C4—521no—
1381C22×C4—521no—
1382C22×C4—521no—
1383C22×C4—521no—
1384C22×C4—521no—
1385C22×C4—521no—
1386C22×C4—521no—
1387C22×C4—521no—
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—5216no—
1399C22×C4#612914yes—
1400C22×C4C23×D1311yescharacteristic
1401C22×C4C23×D1311yescharacteristic
1402C22×C4C23×D1311yescharacteristic
1403C22×C4C23×D1311yescharacteristic
1404C22×C4C23×D1311yescharacteristic
1405C22×C4C23×D1311yescharacteristic
1406C22×C4C23×D1311yescharacteristic
1407C22×C4C23×D1311yescharacteristic
1408C4⋊C4—22no—
1409C4⋊C4—262no—
1410C4⋊C4—262no—
1411C4⋊C4—262no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C4⋊C4—521no—
1416C4⋊C4—521no—
1417C4⋊C4—521no—
1418C4⋊C4—521no—
1419C4⋊C4—521no—
1420C4⋊C4—521no—
1421C4⋊C4—521no—
1422C4⋊C4—521no—
1423C4⋊C4—521no—
1424C4⋊C4—521no—
1425C4⋊C4—521no—
1426C4⋊C4—521no—
1427C4⋊C4—521no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—262no—
1450C22⋊C4—262no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C22⋊C4—521no—
1459C22⋊C4—521no—
1460C22⋊C4—521no—
1461C22⋊C4—521no—
1462C22⋊C4—521no—
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—
1486C42—41no—
1487C42—41no—
1488C42—262no—
1489C42—521no—
1490C42—521no—
1491C13#3679411yescharacteristic, complemented, Sylow
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
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—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—261no—
1556C23—261no—
1557C23C2×#612912yes—
1558C23#8825112yes—
1559C23#8825112yes—
1560C23#8825112yes—
1561C23#8825112yes—
1562C23C24×D1311yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—524no—
1579D4—1042no—
1580D4—1042no—
1581D4—1042no—
1582D4—1042no—
1583D4—1042no—
1584D4—1042no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
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—44no—
1608C2×C4—132no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—261no—
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—524no—
1654C2×C4—524no—
1655C2×C4—524no—
1656C2×C4—524no—
1657C2×C4—524no—
1658C2×C4—524no—
1659C2×C4—1042no—
1660C2×C4—1042no—
1661C2×C4—1042no—
1662C2×C4—1042no—
1663C2×C4—1042no—
1664C2×C4C2×#612912yes—
1665C2×C4C2×#612912yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
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—88no—
1716C22—521no—
1717C22—521no—
1718C22—521no—
1719C22—521no—
1720C22—521no—
1721C22—521no—
1722C22—521no—
1723C22#1171942414yes—
1724C22C22×#612911yescharacteristic
1725C22C2×#8825111yescharacteristic
1726C22C2×#8825111yescharacteristic
1727C22C2×#8825111yescharacteristic
1728C22C2×#8825111yescharacteristic
1729C22D13×H(5,𝔽2)11yescharacteristic
1730C22#1171965011yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—262no—
1740C4—521no—
1741C4—521no—
1742C4—521no—
1743C4—521no—
1744C4—521no—
1745C4—521no—
1746C4—521no—
1747C4—521no—
1748C4—521no—
1749C4—521no—
1750C4—521no—
1751C4—521no—
1752C4—521no—
1753C4—521no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—1041no—
1762C2C2×#1171942411yescharacteristic
1763C2#1312852311yescharacteristic
1764C2#1312868711yescharacteristic
1765C2#1312898611yescharacteristic
1766C2#1312901411yescharacteristic
1767C2#1312901411yescharacteristic
1768C2#1312906611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2433C2
hypercenter#2433D13
hypocenterC13#36794
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. #13123126C2semidirect
2. #13123116C2semidirect
3. #13122687C2semidirect
4. #13122549C2semidirect
5. #13122160C2semidirect
6. #13122115C2semidirect
7. #13122098C2semidirect
8. #13122061C2semidirect
9. #13121934C2semidirect
10. #13121563C2semidirect
11. #13121563C2semidirect
12. #13121531C2semidirect
13. #13121486C2semidirect
14. #13121426C2semidirect
15. #13121271C2semidirect
16. #13121096C2semidirect
17. #13121096C2semidirect
18. #13121074C2semidirect
19. #13120611C2semidirect
20. #13120574C2semidirect
21. #13120055C2semidirect
22. #13119798C2semidirect
23. #13118376C2semidirect
24. #13118376C2semidirect
25. #13118294C2semidirect
26. #13118294C2semidirect
27. #13118186C2semidirect
28. #13117541C2semidirect
29. #13117463C2semidirect
30. C2×#11718881C2semidirect
31. C13×#2433C2semidirect
48. C2×#88193C22semidirect
49. C2×#88193C22semidirect
50. C2×#88193C22semidirect
51. C2×#88193C22semidirect
54. C2×#88189C22semidirect
55. C2×#88189C22semidirect
56. C2×#88189C22semidirect
57. C2×#88189C22semidirect
72. #11718884C22semidirect
73. #11718884C22semidirect
74. #11718884C22semidirect
75. #11718884C22semidirect
76. #11718884C22semidirect
79. #11718883C22semidirect
80. #11718883C22semidirect
81. #11718883C22semidirect
82. #11718883C22semidirect
83. #11718883C22semidirect
84. #11718883C22semidirect
85. #11718883C22semidirect
86. #11718883C22semidirect
87. #11718883C22semidirect
88. #11718883C22semidirect
89. #11718883C22semidirect
90. #11718883C22semidirect
91. #11718883C22semidirect
106. #11718881C22semidirect
107. #11718881C22semidirect
108. #11718881C22semidirect
109. #11718881C22semidirect
110. #11718881C22semidirect
111. #11718881C22semidirect
112. #11718881C22semidirect
113. #11718881C22semidirect
114. #11718881C22semidirect
115. #11718881C22semidirect
119. #11718654C22semidirect
120. #11718642C22semidirect
121. #11718642C22semidirect
122. #11718641C22semidirect
123. #11718622C22semidirect
124. #11718622C22semidirect
125. #11718620C22semidirect
126. #11718620C22semidirect
129. #11718619C22semidirect
130. #11718619C22semidirect
131. #11718618C22semidirect
132. #11718618C22semidirect
133. #11718617C22semidirect
134. #11718617C22semidirect
135. #11718614C22semidirect
136. #11718614C22semidirect
137. #11718613C22semidirect
138. #11718613C22semidirect
139. #11718613C22semidirect
140. #11718613C22semidirect
141. #11718613C22semidirect
142. #11718613C22semidirect
143. #11718612C22semidirect
144. #11718612C22semidirect
145. #11718611C22semidirect
146. #11718611C22semidirect
147. #11718610C22semidirect
148. #11718610C22semidirect
149. #11718609C22semidirect
150. #11718609C22semidirect
155. #11718607C22semidirect
156. #11718607C22semidirect
157. #11718606C22semidirect
158. #11718606C22semidirect
159. #11718605C22semidirect
160. #11718605C22semidirect
161. #11718605C22semidirect
162. #11718605C22semidirect
163. #11718605C22semidirect
164. #11718605C22semidirect
165. #11718604C22semidirect
166. #11718604C22semidirect
169. #11718603C22semidirect
170. #11718603C22semidirect
171. #11718601C22semidirect
172. #11718601C22semidirect
173. #11718594C22semidirect
174. #11718594C22semidirect
175. #11718594C22semidirect
176. #11718594C22semidirect
177. #11718594C22semidirect
178. #11718594C22semidirect
179. #11718328C22semidirect
180. #11718325C22semidirect
181. #11718321C22semidirect
182. #11718321C22semidirect
183. #11718318C22semidirect
184. #11718318C22semidirect
185. #11718312C22semidirect
186. #11718311C22semidirect
630. #2433D13semidirect
1491. C13#36794semidirect

Maximal subgroups

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

subgroupindex
#131231262
#131231162
#131226872
#131225492
#131221602
#131221152
#131220982
#131220612
#131219342
#131215632
#131215312
#131214862
#131214262
#131212712
#131210962
#131210742
#131206112
#131205742
#131200552
#131197982
#131183762
#131182942
#131181862
#131175412
#131174632
C2×#117188812
C13×#24332
#3679413