Finite Group Databasebeta

← #16071812

Subgroups — #16071812

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#13123128C211yesmaximal, characteristic, complemented
2#13123118C211yesmaximal, characteristic, complemented
3#13122693C211yesmaximal, characteristic, complemented
4#13122552C211yesmaximal, characteristic, complemented
5#13122152C211yesmaximal, characteristic, complemented
6#13122107C211yesmaximal, characteristic, complemented
7#13122103C211yesmaximal, characteristic, complemented
8#13122063C211yesmaximal, characteristic, complemented
9#13121940C211yesmaximal, characteristic, complemented
10#13121567C211yesmaximal, characteristic, complemented
11#13121564C211yesmaximal, characteristic, complemented
12#13121528C211yesmaximal, characteristic, complemented
13#13121482C211yesmaximal, characteristic, complemented
14#13121425C211yesmaximal, characteristic, complemented
15#13121267C211yesmaximal, characteristic, complemented
16#13121106C211yesmaximal, characteristic, complemented
17#13121099C211yesmaximal, characteristic, complemented
18#13121073C211yesmaximal, characteristic, complemented
19#13120609C211yesmaximal, characteristic, complemented
20#13120570C211yesmaximal, characteristic, complemented
21#13120060C211yesmaximal, characteristic, complemented
22#13119796C211yesmaximal, characteristic, complemented
23#13118469C211yesmaximal, characteristic, complemented
24#13118372C211yesmaximal, characteristic, complemented
25#13118372C211yesmaximal, characteristic, complemented
26#13118298C211yesmaximal, characteristic, complemented
27#13118298C211yesmaximal, characteristic, complemented
28#13118186C211yesmaximal, characteristic, complemented
29#13117539C211yesmaximal, characteristic, complemented
30#13117470C211yesmaximal, characteristic, complemented
31C2×C13×#386C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C24×C4×C13C2211yescharacteristic
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C2×#88207C2211yescharacteristic
41C2×#88207C2211yescharacteristic
42C2×#88207C2211yescharacteristic
43C2×#88194C2211yescharacteristic
44C2×#88194C2211yescharacteristic
45C2×#88192C2211yescharacteristic
46C2×#88192C2211yescharacteristic
47C2×#88184C2211yescharacteristic
48C2×#88184C2211yescharacteristic
49C2×#88184C2211yescharacteristic
50C2×#88184C2211yescharacteristic, complemented
51C2×#88184C2211yescharacteristic, complemented
52C2×#88183C2211yescharacteristic, complemented
53C2×#88183C2211yescharacteristic, complemented
54C2×C4×C22⋊D13C2211yescharacteristic
55C2×C4×C22⋊D13C2211yescharacteristic
56C2×C4×C22⋊D13C2211yescharacteristic
57C2×#88138C2211yescharacteristic, complemented
58C2×#88138C2211yescharacteristic, complemented
59C2×#88137C2211yescharacteristic, complemented
60C2×#88137C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#386C2211yescharacteristic
67C13×#386C2211yescharacteristic
68C13×#386C2211yescharacteristic
69C2×C13×#95C2211yescharacteristic
70C2×C13×#95C2211yescharacteristic
71#11718908C2211yescharacteristic
72#11718908C2211yescharacteristic
73#11718884C2211yescharacteristic
74#11718884C2211yescharacteristic
75#11718884C2211yescharacteristic
76#11718884C2211yescharacteristic
77#11718884C2211yescharacteristic
78#11718884C2211yescharacteristic
79#11718883C2211yescharacteristic
80#11718883C2211yescharacteristic
81#11718882C2211yescharacteristic
82#11718882C2211yescharacteristic
83#11718882C2211yescharacteristic
84#11718882C2211yescharacteristic
85#11718874C2211yescharacteristic
86#11718874C2211yescharacteristic
87#11718874C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic
91#11718874C2211yescharacteristic, complemented
92#11718874C2211yescharacteristic, complemented
93#11718874C2211yescharacteristic, complemented
94#11718874C2211yescharacteristic, complemented
95#11718874C2211yescharacteristic, complemented
96#11718874C2211yescharacteristic, complemented
97#11718873C2211yescharacteristic
98#11718873C2211yescharacteristic
99#11718873C2211yescharacteristic
100#11718873C2211yescharacteristic, complemented
101#11718873C2211yescharacteristic, complemented
102#11718872C2211yescharacteristic, complemented
103#11718872C2211yescharacteristic, complemented
104#11718871C2211yescharacteristic
105#11718871C2211yescharacteristic
106#11718871C2211yescharacteristic
107#11718871C2211yescharacteristic
108#11718871C2211yescharacteristic, complemented
109#11718871C2211yescharacteristic, complemented
110C4×C22⋊Dic13C2211yescharacteristic
111#11718622C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic, complemented
113#11718622C2211yescharacteristic, complemented
114#11718622C2211yescharacteristic, complemented
115#11718622C2211yescharacteristic, complemented
116#11718622C2211yescharacteristic, complemented
117#11718621C2211yescharacteristic, complemented
118#11718621C2211yescharacteristic, complemented
119#11718621C2211yescharacteristic, complemented
120#11718621C2211yescharacteristic, complemented
121#11718620C2211yescharacteristic, complemented
122#11718620C2211yescharacteristic, complemented
123#11718620C2211yescharacteristic, complemented
124#11718620C2211yescharacteristic, complemented
125#11718620C2211yescharacteristic, complemented
126#11718620C2211yescharacteristic, complemented
127#11718620C2211yescharacteristic, complemented
128#11718620C2211yescharacteristic, complemented
129#11718620C2211yescharacteristic, complemented
130#11718620C2211yescharacteristic, complemented
131#11718618C2211yescharacteristic, complemented
132#11718618C2211yescharacteristic, complemented
133#11718617C2211yescharacteristic, complemented
134#11718617C2211yescharacteristic, complemented
135#11718617C2211yescharacteristic, complemented
136#11718617C2211yescharacteristic, complemented
137#11718614C2211yescharacteristic, complemented
138#11718614C2211yescharacteristic, complemented
139#11718613C2211yescharacteristic, complemented
140#11718613C2211yescharacteristic, complemented
141#11718613C2211yescharacteristic, complemented
142#11718613C2211yescharacteristic, complemented
143#11718613C2211yescharacteristic, complemented
144#11718613C2211yescharacteristic, complemented
145#11718612C2211yescharacteristic, complemented
146#11718612C2211yescharacteristic, complemented
147#11718612C2211yescharacteristic, complemented
148#11718612C2211yescharacteristic, complemented
149#11718610C2211yescharacteristic, complemented
150#11718610C2211yescharacteristic, complemented
151#11718609C2211yescharacteristic, complemented
152#11718609C2211yescharacteristic, complemented
153#11718606C2211yescharacteristic, complemented
154#11718606C2211yescharacteristic, complemented
155#11718335C2211yescharacteristic, complemented
156#11718333C2211yescharacteristic, complemented
157#11718332C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718331C2211yescharacteristic, complemented
161#11718331C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718328C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718325C2211yescharacteristic, complemented
172#11718322C2211yescharacteristic, complemented
173#11718322C2211yescharacteristic, complemented
174#11718322C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, 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
196C23×C4×C13—42no—
197C23×C4×C13—42no—
198C23×C4×C13—42no—
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C23×C4×C13C2311yescharacteristic
203C23×C4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×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
215C22×C22⋊D13C2311yescharacteristic
216C22×C22⋊D13C2311yescharacteristic
217C22×C22⋊D13C2311yescharacteristic
218C22×C22⋊D13C2311yescharacteristic
219C22×C22⋊D13C2311yescharacteristic
220C22×C22⋊D13C2311yescharacteristic
221C22×C22⋊D13C2311yescharacteristic
222C22×C22⋊D13C2311yescharacteristic
223C22×D52C2311yescharacteristic
224C22×D52C2311yescharacteristic
225C22×D52C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C2×C13×C22⋊C4—42no—
230C2×C13×C22⋊C4—42no—
231C2×C13×C22⋊C4—42no—
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
244#88207—42no—
245#88207—42no—
246#88207—42no—
247#88207—42no—
248#88207—42no—
249#88207—42no—
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
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
275#88194—42no—
276#88194—42no—
277#88192—42no—
278#88192—42no—
279#88184—24no—
280#88184—42no—
281#88184—42no—
282#88184—42no—
283#88184—42no—
284#88183—42no—
285#88183—42no—
286C4×C22⋊D13—24no—
287C4×C22⋊D13—42no—
288C4×C22⋊D13—42no—
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
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
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335#88138—42no—
336#88138—42no—
337#88137—42no—
338#88137—42no—
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
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
395C23×D13C2411yescharacteristic
396C23×D13C2411yescharacteristic
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—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—416no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—41no—
421C22×C4×C13—41no—
422C22×C4×C13—41no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13—41no—
427C22×C4×C13—41no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13—41no—
434C22×C4×C13—41no—
435C22×C4×C13—41no—
436C22×C4×C13—41no—
437C22×C4×C13—416no—
438C22×C4×C13#4114yes—
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
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—22no—
462C2×C22⋊D13—22no—
463C2×C22⋊D13—22no—
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—
476C2×C22⋊D13—41no—
477C2×C22⋊D13—41no—
478C2×C22⋊D13—41no—
479C2×C22⋊D13—41no—
480C2×C22⋊D13—41no—
481C2×C22⋊D13—41no—
482C2×C22⋊D13—41no—
483C2×C22⋊D13—41no—
484C2×C22⋊D13—41no—
485C2×C22⋊D13—41no—
486C2×C22⋊D13—41no—
487C2×C22⋊D13—41no—
488C2×C22⋊D13—41no—
489C2×C22⋊D13—41no—
490C2×C22⋊D13—41no—
491C2×C22⋊D13—41no—
492C2×C22⋊D13—41no—
493C2×C22⋊D13—41no—
494C22×Dic13C2411yescharacteristic
495C22×Dic13C2411yescharacteristic
496C22×Dic13C2411yescharacteristic
497C22×Dic13C2411yescharacteristic
498C22×Dic13C2411yescharacteristic
499C22×Dic13C2411yescharacteristic
500C22×Dic13C2411yescharacteristic
501C22×Dic13C2411yescharacteristic
502C22×Dic13C2411yescharacteristic
503C22×Dic13C2411yescharacteristic
504C22×Dic13C2411yescharacteristic
505C22×Dic13C2411yescharacteristic
506C22×Dic13C2411yescharacteristic
507C2×D52—22no—
508C2×D52—22no—
509C2×D52—41no—
510C2×D52—41no—
511C2×D52—41no—
512C2×D52—41no—
513C2×D52—41no—
514C2×D52—41no—
515C2×D52—41no—
516C2×C4×D13—22no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—41no—
522C2×C4×D13—41no—
523C2×C4×D13—41no—
524C2×C4×D13—41no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—41no—
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—
537C22⋊Dic13—22no—
538C22⋊Dic13—22no—
539C22⋊Dic13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—41no—
545C22⋊Dic13—41no—
546C22⋊Dic13—41no—
547C22⋊Dic13—41no—
548C22⋊Dic13—41no—
549C22⋊Dic13—41no—
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—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—41no—
567#6103—41no—
568#6103—41no—
569#6103—41no—
570#6103—41no—
571#6103—41no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103—41no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—41no—
586C4⋊Dic13—41no—
587C4⋊Dic13—41no—
588C4⋊Dic13—41no—
589C4⋊Dic13—41no—
590C4⋊Dic13—41no—
591C4⋊Dic13—41no—
592#6101—22no—
593#6101—22no—
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—
603C4×Dic13—22no—
604C4×Dic13—41no—
605C4×Dic13—41no—
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#2433—131no—
631#2424—131no—
632#2424—131no—
633#2418—131no—
634#2418—131no—
635#2408—131no—
636#2325—131no—
637#2318—131no—
638C2×#386D1311yescharacteristic, complemented
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—44no—
671C23×C13—44no—
672C23×C13—44no—
673C23×C13—44no—
674C23×C13—44no—
675C23×C13—44no—
676C23×C13—44no—
677C23×C13—44no—
678C23×C13—44no—
679C23×C13—82no—
680C23×C13—82no—
681C23×C13—82no—
682C23×C13—82no—
683C23×C13C2×#4112yes—
684C23×C13H(5,𝔽2)12yes—
685C23×C13H(5,𝔽2)12yes—
686C23×C13H(5,𝔽2)12yes—
687C23×C13H(5,𝔽2)12yes—
688C23×C13C2511yescharacteristic
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—21no—
693C22×D13—21no—
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701C22×D13—21no—
702C22×D13—21no—
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—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
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—44no—
742C2×C4×C13—44no—
743C2×C4×C13—44no—
744C2×C4×C13—44no—
745C2×C4×C13—44no—
746C2×C4×C13—44no—
747C2×C4×C13—44no—
748C2×C4×C13—82no—
749C2×C4×C13—82no—
750C2×C4×C13C2×#4112yes—
751C2×C4×C13C2×#4112yes—
752C2×C4×C13H(5,𝔽2)12yes—
753C22⋊D13—44no—
754C22⋊D13—44no—
755C22⋊D13—44no—
756C22⋊D13—82no—
757C22⋊D13—82no—
758C22⋊D13—82no—
759C22⋊D13—82no—
760C22⋊D13—82no—
761C22⋊D13—82no—
762C22⋊D13—82no—
763C22⋊D13—82no—
764C22⋊D13—82no—
765C22⋊D13—82no—
766C22⋊D13—82no—
767C22⋊D13—82no—
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—
807D52—82no—
808D52—82no—
809D52—82no—
810C4×D13—82no—
811C4×D13—82no—
812C4×D13—82no—
813C23×D4C2×D1311yescharacteristic
814C24×C4C2×D1311yescharacteristic
815C2×#127—131no—
816C2×#127—131no—
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×#121—131no—
830C2×#120—131no—
831C2×#120—131no—
832C2×#120—131no—
833C2×#120—131no—
834C2×#120—131no—
835C2×#120—131no—
836C2×C4×D4—131no—
837C2×C4×D4—131no—
838C2×C4×D4—131no—
839C22×C22⋊C4C2×D1311yescharacteristic
840C22×C22⋊C4C2×D1311yescharacteristic
841C22×C22⋊C4C2×D1311yescharacteristic
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#392—131no—
887#392—131no—
888#392—131no—
889#392—131no—
890#390—131no—
891#390—131no—
892#390—131no—
893#390—131no—
894#390—131no—
895#390—131no—
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#386C2×D1311yescharacteristic
937#386C2×D1311yescharacteristic
938#386C2×D1311yescharacteristic
939#386C2×D1311yescharacteristic
940#386C2×D1311yescharacteristic
941#386C2×D1311yescharacteristic
942#386C2×D1311yescharacteristic
943#386C2×D1311yescharacteristic
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⋊C4—131no—
966C2×#95C2×D1311yescharacteristic
967C2×#95C2×D1311yescharacteristic
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—88no—
1004C22×C13#54014yes—
1005C22×C13C22×#4111yescharacteristic
1006C22×C13C2×H(5,𝔽2)11yescharacteristic
1007C22×C13C2×H(5,𝔽2)11yescharacteristic
1008C22×C13C2×H(5,𝔽2)11yescharacteristic
1009C22×C13C2×H(5,𝔽2)11yescharacteristic
1010C22×C13C2×H(5,𝔽2)11yescharacteristic
1011C22×C13#58511yescharacteristic
1012C2×D13—41no—
1013C2×D13—41no—
1014C2×D13—41no—
1015C2×D13—41no—
1016C2×D13—41no—
1017C2×D13—41no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—41no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
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—22no—
1036C4×C13—41no—
1037C4×C13—41no—
1038C4×C13—41no—
1039C4×C13—41no—
1040C4×C13—41no—
1041C4×C13—41no—
1042C4×C13—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×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—131no—
1072C22×D4—131no—
1073C22×D4—131no—
1074C22×D4—131no—
1075C22×D4—131no—
1076C22×D4—131no—
1077C22×D4—131no—
1078C22×D4—131no—
1079C22×D4C22×D1311yescharacteristic
1080C22×D4C22×D1311yescharacteristic
1081C22×D4C22×D1311yescharacteristic
1082C22×D4C22×D1311yescharacteristic
1083C23×C4—42no—
1084C23×C4—42no—
1085C23×C4—42no—
1086C23×C4—131no—
1087C23×C4—131no—
1088C23×C4—131no—
1089C23×C4C22×D1311yescharacteristic
1090C23×C4C22×D1311yescharacteristic
1091C23×C4C22×D1311yescharacteristic
1092C23×C4C22×D1311yescharacteristic
1093C23×C4C22×D1311yescharacteristic
1094C23×C4C22×D1311yescharacteristic
1095C23×C4C22×D1311yescharacteristic
1096C23×C4C22×D1311yescharacteristic
1097C23×C4C22×D1311yescharacteristic
1098#127—522no—
1099#127—522no—
1100#123—522no—
1101#123—522no—
1102#123—522no—
1103#123—522no—
1104#121—264no—
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—522no—
1114#120—522no—
1115#120—522no—
1116#120—522no—
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⋊C4—131no—
1142C2×C22⋊C4—42no—
1143C2×C22⋊C4—42no—
1144C2×C22⋊C4—42no—
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⋊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×C42—131no—
1207C2×C42—131no—
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#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239#95C22×D1311yescharacteristic
1240#95C22×D1311yescharacteristic
1241#95C22×D1311yescharacteristic
1242#95C22×D1311yescharacteristic
1243#95C22×D1311yescharacteristic
1244C2×C13—24no—
1245C2×C13—42no—
1246C2×C13—42no—
1247C2×C13—81no—
1248C2×C13—81no—
1249C2×C13C2×#54011yescharacteristic
1250C2×C13#349011yescharacteristic
1251C2×C13#350611yescharacteristic
1252C2×C13#353211yescharacteristic
1253C2×C13#353411yescharacteristic
1254C2×C13#353411yescharacteristic
1255C2×C13#353711yescharacteristic
1256D13—81no—
1257D13—81no—
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—
1274C24—131no—
1275C24—131no—
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—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—416no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—262no—
1298C2×D4—262no—
1299C2×D4—262no—
1300C2×D4—262no—
1301C2×D4—262no—
1302C2×D4—262no—
1303C2×D4—262no—
1304C2×D4—262no—
1305C2×D4—262no—
1306C2×D4—262no—
1307C2×D4—262no—
1308C2×D4—262no—
1309C2×D4—262no—
1310C2×D4—262no—
1311C2×D4—521no—
1312C2×D4—521no—
1313C2×D4—521no—
1314C2×D4—521no—
1315C2×D4—521no—
1316C2×D4—521no—
1317C2×D4—521no—
1318C2×D4—521no—
1319C2×D4—521no—
1320C2×D4—521no—
1321C2×D4—521no—
1322C2×D4—521no—
1323C2×D4—521no—
1324C2×D4—521no—
1325C2×D4—521no—
1326C2×D4—521no—
1327C2×D4—521no—
1328C2×D4—521no—
1329C2×D4—521no—
1330C2×D4—521no—
1331C2×D4—521no—
1332C2×D4—521no—
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—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—416no—
1375C22×C4—131no—
1376C22×C4—131no—
1377C22×C4—131no—
1378C22×C4—131no—
1379C22×C4—131no—
1380C22×C4—131no—
1381C22×C4—131no—
1382C22×C4—131no—
1383C22×C4—131no—
1384C22×C4—131no—
1385C22×C4—131no—
1386C22×C4—131no—
1387C22×C4—131no—
1388C22×C4—262no—
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#612714yes—
1398C22×C4C23×D1311yescharacteristic
1399C22×C4C23×D1311yescharacteristic
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—262no—
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—262no—
1487C42—521no—
1488C42—521no—
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—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—261no—
1537C23—261no—
1538C23—261no—
1539C23—261no—
1540C23—261no—
1541C23—261no—
1542C23—261no—
1543C23—261no—
1544C23—261no—
1545C23—261no—
1546C23—261no—
1547C23—261no—
1548C23—261no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—261no—
1556C23—261no—
1557C23C2×#612712yes—
1558C23#8825112yes—
1559C23#8825112yes—
1560C23#8825112yes—
1561C23#8825612yes—
1562C23C24×D1311yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—524no—
1568D4—524no—
1569D4—524no—
1570D4—1042no—
1571D4—1042no—
1572D4—1042no—
1573D4—1042no—
1574D4—1042no—
1575D4—1042no—
1576D4—1042no—
1577D4—1042no—
1578D4—1042no—
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—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—82no—
1620C2×C4—82no—
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—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—261no—
1659C2×C4—261no—
1660C2×C4—1042no—
1661C2×C4—1042no—
1662C2×C4—1042no—
1663C2×C4C2×#612712yes—
1664C2×C4C2×#612712yes—
1665C2×C4#8825112yes—
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—88no—
1702C22—521no—
1703C22—521no—
1704C22—521no—
1705C22—521no—
1706C22—521no—
1707C22—521no—
1708C22—521no—
1709C22—521no—
1710C22—521no—
1711C22—521no—
1712C22—521no—
1713C22—521no—
1714C22—521no—
1715C22—521no—
1716C22—521no—
1717C22—521no—
1718C22—521no—
1719C22—521no—
1720C22—521no—
1721C22—521no—
1722C22—521no—
1723C22#1171926714yes—
1724C22C22×#612711yescharacteristic
1725C22C2×#8825111yescharacteristic
1726C22C2×#8825111yescharacteristic
1727C22C2×#8825111yescharacteristic
1728C22C2×#8825111yescharacteristic
1729C22C2×#8825611yescharacteristic
1730C22#1171964811yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
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—1041no—
1760C2—1041no—
1761C2—1041no—
1762C2C2×#1171926711yescharacteristic
1763C2#1312852511yescharacteristic
1764C2#1312868811yescharacteristic
1765C2#1312899111yescharacteristic
1766C2#1312902611yescharacteristic
1767C2#1312903011yescharacteristic
1768C2#1312907111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#386C2
hypercenterC2×#386D13
hypocenterC13#36794
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #13123128C2semidirect
2. #13123118C2semidirect
3. #13122693C2semidirect
4. #13122552C2semidirect
5. #13122152C2semidirect
6. #13122107C2semidirect
7. #13122103C2semidirect
8. #13122063C2semidirect
9. #13121940C2semidirect
10. #13121567C2semidirect
11. #13121564C2semidirect
12. #13121528C2semidirect
13. #13121482C2semidirect
14. #13121425C2semidirect
15. #13121267C2semidirect
16. #13121106C2semidirect
17. #13121099C2semidirect
18. #13121073C2semidirect
19. #13120609C2semidirect
20. #13120570C2semidirect
21. #13120060C2semidirect
22. #13119796C2semidirect
23. #13118469C2semidirect
24. #13118372C2semidirect
25. #13118372C2semidirect
26. #13118298C2semidirect
27. #13118298C2semidirect
28. #13118186C2semidirect
29. #13117539C2semidirect
30. #13117470C2semidirect
31. C2×C13×#386C2semidirect
50. C2×#88184C22semidirect
51. C2×#88184C22semidirect
52. C2×#88183C22semidirect
53. C2×#88183C22semidirect
57. C2×#88138C22semidirect
58. C2×#88138C22semidirect
59. C2×#88137C22semidirect
60. C2×#88137C22semidirect
91. #11718874C22semidirect
92. #11718874C22semidirect
93. #11718874C22semidirect
94. #11718874C22semidirect
95. #11718874C22semidirect
96. #11718874C22semidirect
100. #11718873C22semidirect
101. #11718873C22semidirect
102. #11718872C22semidirect
103. #11718872C22semidirect
108. #11718871C22semidirect
109. #11718871C22semidirect
111. #11718622C22semidirect
112. #11718622C22semidirect
113. #11718622C22semidirect
114. #11718622C22semidirect
115. #11718622C22semidirect
116. #11718622C22semidirect
117. #11718621C22semidirect
118. #11718621C22semidirect
119. #11718621C22semidirect
120. #11718621C22semidirect
121. #11718620C22semidirect
122. #11718620C22semidirect
123. #11718620C22semidirect
124. #11718620C22semidirect
125. #11718620C22semidirect
126. #11718620C22semidirect
127. #11718620C22semidirect
128. #11718620C22semidirect
129. #11718620C22semidirect
130. #11718620C22semidirect
131. #11718618C22semidirect
132. #11718618C22semidirect
133. #11718617C22semidirect
134. #11718617C22semidirect
135. #11718617C22semidirect
136. #11718617C22semidirect
137. #11718614C22semidirect
138. #11718614C22semidirect
139. #11718613C22semidirect
140. #11718613C22semidirect
141. #11718613C22semidirect
142. #11718613C22semidirect
143. #11718613C22semidirect
144. #11718613C22semidirect
145. #11718612C22semidirect
146. #11718612C22semidirect
147. #11718612C22semidirect
148. #11718612C22semidirect
149. #11718610C22semidirect
150. #11718610C22semidirect
151. #11718609C22semidirect
152. #11718609C22semidirect
153. #11718606C22semidirect
154. #11718606C22semidirect
155. #11718335C22semidirect
156. #11718333C22semidirect
157. #11718332C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718331C22semidirect
161. #11718331C22semidirect
162. #11718330C22semidirect
163. #11718330C22semidirect
164. #11718329C22semidirect
165. #11718329C22semidirect
166. #11718328C22semidirect
167. #11718326C22semidirect
168. #11718326C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718325C22semidirect
172. #11718322C22semidirect
173. #11718322C22semidirect
174. #11718322C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718312C22semidirect
186. #11718311C22semidirect
638. C2×#386D13semidirect
1491. C13#36794semidirect

Maximal subgroups

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

subgroupindex
#131231282
#131231182
#131226932
#131225522
#131221522
#131221072
#131221032
#131220632
#131219402
#131215672
#131215642
#131215282
#131214822
#131214252
#131212672
#131211062
#131210992
#131210732
#131206092
#131205702
#131200602
#131197962
#131184692
#131183722
#131182982
#131181862
#131175392
#131174702
C2×C13×#3862
#3679413