Finite Group Databasebeta

← #16071258

Subgroups — #16071258

Order 3328.

2454 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123127C211yesmaximal, characteristic, complemented
2#13123117C211yesmaximal, characteristic, complemented
3#13122458C211yesmaximal, characteristic, complemented
4#13122457C211yesmaximal, characteristic, complemented
5#13122213C211yesmaximal, characteristic, complemented
6#13122070C211yesmaximal, characteristic, complemented
7#13122062C211yesmaximal, characteristic, complemented
8#13122055C211yesmaximal, characteristic, complemented
9#13121972C211yesmaximal, characteristic, complemented
10#13121483C211yesmaximal, characteristic, complemented
11#13121399C211yesmaximal, characteristic, complemented
12#13121387C211yesmaximal, characteristic, complemented
13#13121273C211yesmaximal, characteristic, complemented
14#13121273C211yesmaximal, characteristic, complemented
15#13121216C211yesmaximal, characteristic, complemented
16#13121165C211yesmaximal, characteristic, complemented
17#13121141C211yesmaximal, characteristic, complemented
18#13121044C211yesmaximal, characteristic, complemented
19#13120791C211yesmaximal, characteristic, complemented
20#13120766C211yesmaximal, characteristic, complemented
21#13119398C211yesmaximal, characteristic, complemented
22#13118964C211yesmaximal, characteristic, complemented
23#13118588C211yesmaximal, characteristic, complemented
24#13118497C211yesmaximal, characteristic, complemented
25#13118374C211yesmaximal, characteristic, complemented
26#13118210C211yesmaximal, characteristic, complemented
27#13118204C211yesmaximal, characteristic, complemented
28#13118146C211yesmaximal, characteristic, complemented
29#13117494C211yesmaximal, characteristic, complemented
30C2×#11718617C211yesmaximal, characteristic, complemented
31C13×#2308C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C23×C22⋊D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic, complemented
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C2×#88207C2211yescharacteristic, complemented
41C22×C22⋊Dic13C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88193C2211yescharacteristic
44C2×#88191C2211yescharacteristic
45C2×#88191C2211yescharacteristic
46C2×#88184C2211yescharacteristic, complemented
47C2×#88184C2211yescharacteristic, complemented
48C2×C4×C22⋊D13C2211yescharacteristic, complemented
49C22×#6103C2211yescharacteristic, complemented
50C2×#88178C2211yescharacteristic, complemented
51C2×#88139C2211yescharacteristic, complemented
52C2×#88138C2211yescharacteristic, complemented
53C2×#88138C2211yescharacteristic, complemented
54C2×#88138C2211yescharacteristic, complemented
55C2×#88137C2211yescharacteristic, complemented
56C2×#88137C2211yescharacteristic, complemented
57C2×#88136C2211yescharacteristic, complemented
58C2×#88132C2211yescharacteristic, complemented
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#386C2211yescharacteristic, complemented
64C13×#386C2211yescharacteristic, complemented
65C13×#386C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic, complemented
67C13×#381C2211yescharacteristic, complemented
68C13×#381C2211yescharacteristic, complemented
69C13×#379C2211yescharacteristic, complemented
70C13×#379C2211yescharacteristic, complemented
71#11718908C2211yescharacteristic
72#11718908C2211yescharacteristic, complemented
73#11718884C2211yescharacteristic
74#11718884C2211yescharacteristic
75#11718884C2211yescharacteristic
76#11718884C2211yescharacteristic
77#11718884C2211yescharacteristic, complemented
78#11718884C2211yescharacteristic, complemented
79#11718883C2211yescharacteristic, complemented
80#11718883C2211yescharacteristic, complemented
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic
83#11718881C2211yescharacteristic
84#11718881C2211yescharacteristic
85#11718874C2211yescharacteristic
86#11718874C2211yescharacteristic
87#11718874C2211yescharacteristic, complemented
88#11718874C2211yescharacteristic, complemented
89#11718874C2211yescharacteristic, complemented
90#11718874C2211yescharacteristic, complemented
91#11718873C2211yescharacteristic, complemented
92#11718871C2211yescharacteristic, complemented
93#11718871C2211yescharacteristic, complemented
94#11718871C2211yescharacteristic, complemented
95#11718871C2211yescharacteristic, complemented
96C4×C22⋊Dic13C2211yescharacteristic, complemented
97C2×#88071C2211yescharacteristic, complemented
98C2×#88071C2211yescharacteristic, complemented
99#11718622C2211yescharacteristic
100#11718622C2211yescharacteristic
101#11718622C2211yescharacteristic, complemented
102#11718622C2211yescharacteristic, complemented
103#11718622C2211yescharacteristic, complemented
104#11718621C2211yescharacteristic
105#11718621C2211yescharacteristic
106#11718621C2211yescharacteristic, complemented
107#11718620C2211yescharacteristic, complemented
108#11718620C2211yescharacteristic, complemented
109#11718620C2211yescharacteristic, complemented
110#11718619C2211yescharacteristic, complemented
111#11718618C2211yescharacteristic, complemented
112#11718618C2211yescharacteristic, complemented
113#11718618C2211yescharacteristic, complemented
114#11718618C2211yescharacteristic, complemented
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic, complemented
120#11718617C2211yescharacteristic, complemented
121#11718617C2211yescharacteristic, complemented
122#11718617C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic, complemented
124#11718617C2211yescharacteristic, complemented
125#11718617C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic, complemented
128#11718617C2211yescharacteristic, complemented
129#11718617C2211yescharacteristic, complemented
130#11718616C2211yescharacteristic, complemented
131#11718614C2211yescharacteristic, complemented
132#11718614C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718613C2211yescharacteristic, complemented
135#11718613C2211yescharacteristic, complemented
136#11718613C2211yescharacteristic, complemented
137#11718613C2211yescharacteristic, complemented
138#11718612C2211yescharacteristic, complemented
139#11718612C2211yescharacteristic, complemented
140#11718611C2211yescharacteristic, complemented
141#11718611C2211yescharacteristic, complemented
142#11718610C2211yescharacteristic, complemented
143#11718609C2211yescharacteristic, complemented
144#11718609C2211yescharacteristic, complemented
145#11718609C2211yescharacteristic, complemented
146#11718608C2211yescharacteristic, complemented
147#11718608C2211yescharacteristic, complemented
148#11718607C2211yescharacteristic, complemented
149#11718606C2211yescharacteristic, complemented
150#11718606C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic, complemented
152#11718605C2211yescharacteristic, complemented
153#11718605C2211yescharacteristic, complemented
154#11718603C2211yescharacteristic, complemented
155#11718337C2211yescharacteristic, complemented
156#11718336C2211yescharacteristic, complemented
157#11718336C2211yescharacteristic, complemented
158#11718335C2211yescharacteristic, complemented
159#11718334C2211yescharacteristic, complemented
160#11718334C2211yescharacteristic, complemented
161#11718333C2211yescharacteristic, complemented
162#11718331C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718328C2211yescharacteristic, complemented
168#11718328C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718325C2211yescharacteristic, complemented
173#11718325C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175C13⋊#401C2211yescharacteristic, complemented
176C13⋊#401C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718320C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718319C2211yescharacteristic, complemented
184#11718316C2211yescharacteristic, complemented
185#11718315C2211yescharacteristic, complemented
186#11718312C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C25×C13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×D4×C13—24no—
191C22×D4×C13—42no—
192C22×D4×C13—42no—
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C22×C22⋊D13—24no—
203C22×C22⋊D13—42no—
204C22×C22⋊D13—42no—
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
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
218C23×Dic13C2311yescharacteristic
219C23×Dic13C2311yescharacteristic
220C23×Dic13C2311yescharacteristic
221C22×D52C2311yescharacteristic
222C22×D52C2311yescharacteristic
223C22×C4×D13—42no—
224C22×C4×D13—42no—
225C22×C4×D13—42no—
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C2×C13×C22⋊C4—42no—
233C2×C13×C22⋊C4—42no—
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×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250#88207—24no—
251#88207—42no—
252#88207—42no—
253#88207—42no—
254C2×C22⋊Dic13—42no—
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
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278#88193—42no—
279#88193—42no—
280#88191—42no—
281#88191—42no—
282#88184—42no—
283#88184—42no—
284C4×C22⋊D13—42no—
285C2×#6103—42no—
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312#88178—42no—
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327#88139—42no—
328#88138—42no—
329#88138—42no—
330#88138—42no—
331#88137—42no—
332#88137—42no—
333#88136—42no—
334#88132—42no—
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#36776—131nomaximal, Sylow
376C24×C13—22no—
377C24×C13—22no—
378C24×C13—22no—
379C24×C13—41no—
380C24×C13—41no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13—41no—
384C24×C13—41no—
385C24×C13—41no—
386C24×C13—41no—
387C24×C13—41no—
388C24×C13—41no—
389C24×C13#4114yes—
390C24×C13C2411yescharacteristic
391C24×C13C2411yescharacteristic
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—41no—
401C23×D13—41no—
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C23×D13C2411yescharacteristic
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—22no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—41no—
414C2×D4×C13—41no—
415C2×D4×C13—41no—
416C2×D4×C13—41no—
417C2×D4×C13—416no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
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×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
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—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—
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—416no—
483C22×Dic13—22no—
484C22×Dic13—22no—
485C22×Dic13—22no—
486C22×Dic13—22no—
487C22×Dic13—41no—
488C22×Dic13—41no—
489C22×Dic13—41no—
490C22×Dic13—41no—
491C22×Dic13—41no—
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494C22×Dic13C2411yescharacteristic
495C22×Dic13C2411yescharacteristic
496C22×Dic13C2411yescharacteristic
497C22×Dic13C2411yescharacteristic
498C22×Dic13C2411yescharacteristic
499C22×Dic13C2411yescharacteristic
500C22×Dic13C2411yescharacteristic
501C22×Dic13C2411yescharacteristic
502C22×Dic13C2411yescharacteristic
503C22×Dic13C2411yescharacteristic
504C22×Dic13C2411yescharacteristic
505C2×D52—22no—
506C2×D52—22no—
507C2×D52—41no—
508C2×D52—41no—
509C2×D52—41no—
510C2×D52—41no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
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—416no—
524C2×C4×D13—41no—
525C2×C4×D13—41no—
526C2×C4×D13—41no—
527C2×Dic26—41no—
528C2×Dic26—41no—
529C2×Dic26—41no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4—41no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—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—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
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—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103—41no—
588#6103—41no—
589#6103—41no—
590C4⋊Dic13—22no—
591C4⋊Dic13—41no—
592C4⋊Dic13—41no—
593C4⋊Dic13—41no—
594C4⋊Dic13—41no—
595#6101—22no—
596#6101—41no—
597#6101—41no—
598#6101—41no—
599#6101—41no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606C4×Dic13—41no—
607C4×Dic13—41no—
608C4×Dic13—41no—
609#2849—131no—
610#2847—131no—
611#2778—131no—
612#2778—131no—
613#2760—131no—
614#2750—131no—
615#2749—131no—
616#2749—131no—
617#2743—131no—
618#2703—131no—
619#2697—131no—
620#2696—131no—
621#2688—131no—
622#2688—131no—
623#2684—131no—
624#2678—131no—
625#2676—131no—
626#2668—131no—
627#2643—131no—
628#2639—131no—
629#2510—131no—
630#2472—131no—
631#2444—131no—
632#2437—131no—
633#2424—131no—
634#2410—131no—
635#2410—131no—
636#2403—131no—
637#2321—131no—
638#2308D1311yescharacteristic, complemented
639C2×#386—131no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
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—28no—
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—44no—
672C23×C13—44no—
673C23×C13—44no—
674C23×C13—82no—
675C23×C13—82no—
676C23×C13—82no—
677C23×C13—82no—
678C23×C13—82no—
679C23×C13—82no—
680C23×C13—82no—
681C23×C13—82no—
682C23×C13—82no—
683C23×C13—82no—
684C23×C13C2×#4112yes—
685C23×C13C2×#4112yes—
686C23×C13C2×#4112yes—
687C23×C13H(5,𝔽2)12yes—
688C23×C13H(5,𝔽2)12yes—
689C23×C13C2511yescharacteristic
690C22×D13—28no—
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—
710C22×D13—44no—
711C22×D13—44no—
712C22×D13—44no—
713C22×D13—44no—
714C22×D13—44no—
715C22×D13—44no—
716C22×D13H(5,𝔽2)12yes—
717C22×D13H(5,𝔽2)12yes—
718D4×C13—44no—
719D4×C13—44no—
720D4×C13—44no—
721D4×C13—44no—
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—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—44no—
753C2×C4×C13—44no—
754C2×C4×C13—82no—
755C2×C4×C13—82no—
756C2×C4×C13—82no—
757C22⋊D13—44no—
758C22⋊D13—44no—
759C22⋊D13—44no—
760C22⋊D13—44no—
761C22⋊D13—44no—
762C22⋊D13—82no—
763C22⋊D13—82no—
764C22⋊D13—82no—
765C22⋊D13—82no—
766C22⋊D13—82no—
767C22⋊D13—82no—
768C22⋊D13—82no—
769C22⋊D13—82no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—44no—
809C2×Dic13—44no—
810C2×Dic13—82no—
811C2×Dic13H(5,𝔽2)12yes—
812D52—82no—
813D52—82no—
814C4×D13—44no—
815C4×D13—44no—
816C4×D13—44no—
817C4×D13—44no—
818C4×D13—82no—
819Dic26—82no—
820C23×D4—131no—
821C23×D4C2×D1311yescharacteristic
822C24×C4—131no—
823C2×#124—131no—
824C2×#123—131no—
825C2×#123—131no—
826C2×C22⋊Q8—131no—
827C2×C22⋊Q8—131no—
828C2×#121—131no—
829C2×#121—131no—
830C2×#121—131no—
831C2×#121—131no—
832C2×#121—131no—
833C2×#121—131no—
834C2×#121—131no—
835C2×#120—131no—
836C2×#120—131no—
837C2×#120—131no—
838C2×#120—131no—
839C2×#120—131no—
840C2×#120—131no—
841C2×#120—131no—
842C2×C4×D4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4C2×D1311yescharacteristic
846C22×C22⋊C4C2×D1311yescharacteristic
847#401—131no—
848#401—131no—
849#400—131no—
850#400—131no—
851#400—131no—
852#400—131no—
853#400—131no—
854#400—131no—
855#400—131no—
856#399—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#397—131no—
862#397—131no—
863#397—131no—
864#397—131no—
865#397—131no—
866#397—131no—
867#396—131no—
868#396—131no—
869#396—131no—
870#396—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#394—131no—
877#394—131no—
878#394—131no—
879#394—131no—
880#394—131no—
881#394—131no—
882#393—131no—
883#393—131no—
884#393—131no—
885#393—131no—
886#392—131no—
887#392—131no—
888#392—131no—
889#392—131no—
890#392—131no—
891#392—131no—
892#392—131no—
893#392—131no—
894#392—131no—
895#390—131no—
896#390—131no—
897#390—131no—
898#390—131no—
899#388—131no—
900#388—131no—
901#388—131no—
902#388—131no—
903#388—131no—
904#388—131no—
905#388—131no—
906#388—131no—
907#388—131no—
908#388—131no—
909#387—131no—
910#387—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#386—131no—
917#386—131no—
918#386—131no—
919#386—131no—
920#386—131no—
921#386—131no—
922#386—131no—
923#386—131no—
924#386—131no—
925#386—131no—
926#386—131no—
927#386—131no—
928#386—131no—
929#386—131no—
930#386—131no—
931#386—131no—
932#386—131no—
933#386—131no—
934#386—131no—
935#386—131no—
936#386—131no—
937#386—131no—
938#386—131no—
939#386—131no—
940#386C2×D1311yescharacteristic
941#386C2×D1311yescharacteristic
942#386C2×D1311yescharacteristic
943#386C2×D1311yescharacteristic
944#386C2×D1311yescharacteristic, complemented
945#386C2×D1311yescharacteristic, complemented
946#386C2×D1311yescharacteristic, complemented
947#386C2×D1311yescharacteristic, complemented
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#385—131no—
953#385—131no—
954#385—131no—
955#385—131no—
956#385—131no—
957#383—131no—
958#381—131no—
959#381—131no—
960#381—131no—
961#381C2×D1311yescharacteristic, complemented
962#381C2×D1311yescharacteristic, complemented
963#380—131no—
964#380—131no—
965#380—131no—
966#380—131no—
967#379—131no—
968#379—131no—
969#379—131no—
970#379C2×D1311yescharacteristic, complemented
971#379C2×D1311yescharacteristic, complemented
972C4×C22⋊C4—131no—
973C2×#95—131no—
974C2×#95—131no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—22no—
983C22×C13—22no—
984C22×C13—22no—
985C22×C13—22no—
986C22×C13—22no—
987C22×C13—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—88no—
1010C22×C13—88no—
1011C22×C13#53814yes—
1012C22×C13C22×#4111yescharacteristic
1013C22×C13C2×H(5,𝔽2)11yescharacteristic
1014C22×C13C2×H(5,𝔽2)11yescharacteristic
1015C22×C13C2×H(5,𝔽2)11yescharacteristic
1016C22×C13C2×H(5,𝔽2)11yescharacteristic
1017C22×C13C2×H(5,𝔽2)11yescharacteristic
1018C22×C13#58511yescharacteristic
1019C2×D13—22no—
1020C2×D13—22no—
1021C2×D13—22no—
1022C2×D13—22no—
1023C2×D13—22no—
1024C2×D13—22no—
1025C2×D13—416no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—41no—
1039C2×D13—41no—
1040C2×D13—41no—
1041C4×C13—41no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13—41no—
1050C4×C13—41no—
1051Dic13—22no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063Dic13—41no—
1064C25—131no—
1065C25C22×D1311yescharacteristic
1066C25C22×D1311yescharacteristic
1067C22×Q8—131no—
1068C22×D4—24no—
1069C22×D4—42no—
1070C22×D4—42no—
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×D4—131no—
1080C22×D4—131no—
1081C22×D4—131no—
1082C22×D4—131no—
1083C22×D4—131no—
1084C22×D4—131no—
1085C22×D4—131no—
1086C22×D4—264no—
1087C22×D4—522no—
1088C22×D4—522no—
1089C22×D4C22×D1311yescharacteristic
1090C22×D4C22×D1311yescharacteristic
1091C22×D4C22×D1311yescharacteristic
1092C22×D4C22×D1311yescharacteristic
1093C23×C4—131no—
1094C23×C4—131no—
1095C23×C4—131no—
1096C23×C4—131no—
1097C23×C4—131no—
1098C23×C4—131no—
1099C23×C4—131no—
1100C23×C4—131no—
1101C23×C4—522no—
1102C23×C4—522no—
1103C23×C4—522no—
1104C23×C4C22×D1311yescharacteristic
1105C23×C4C22×D1311yescharacteristic
1106C23×C4C22×D1311yescharacteristic
1107C23×C4C22×D1311yescharacteristic
1108C23×C4C22×D1311yescharacteristic
1109#124—522no—
1110#123—522no—
1111#123—522no—
1112C22⋊Q8—522no—
1113C22⋊Q8—522no—
1114#121—522no—
1115#121—522no—
1116#121—522no—
1117#121—522no—
1118#121—522no—
1119#121—522no—
1120#121—522no—
1121#120—264no—
1122#120—522no—
1123#120—522no—
1124#120—522no—
1125#120—522no—
1126#120—522no—
1127#120—522no—
1128C4×D4—522no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4—131no—
1141C2×C4⋊C4—131no—
1142C2×C4⋊C4—131no—
1143C2×C4⋊C4—131no—
1144C2×C4⋊C4—131no—
1145C2×C22⋊C4—42no—
1146C2×C22⋊C4—42no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—522no—
1192C2×C22⋊C4—522no—
1193C2×C22⋊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×C22⋊C4C22×D1311yescharacteristic
1204C2×C22⋊C4C22×D1311yescharacteristic
1205C2×C22⋊C4C22×D1311yescharacteristic
1206C2×C22⋊C4C22×D1311yescharacteristic
1207C2×C22⋊C4C22×D1311yescharacteristic
1208C2×C22⋊C4C22×D1311yescharacteristic
1209C2×C42—131no—
1210C2×C42—131no—
1211C2×C42—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95—131no—
1244#95C22×D1311yescharacteristic
1245#95C22×D1311yescharacteristic
1246#95C22×D1311yescharacteristic
1247#95C22×D1311yescharacteristic
1248#95C22×D1311yescharacteristic
1249#95C22×D1311yescharacteristic
1250#95C22×D1311yescharacteristic
1251#95C22×D1311yescharacteristic
1252C2×C13—24no—
1253C2×C13—42no—
1254C2×C13—42no—
1255C2×C13—81no—
1256C2×C13—81no—
1257C2×C13C2×#53811yescharacteristic
1258C2×C13#349011yescharacteristic
1259C2×C13#350511yescharacteristic
1260C2×C13#353211yescharacteristic
1261C2×C13#353411yescharacteristic
1262C2×C13#353411yescharacteristic
1263C2×C13#353711yescharacteristic
1264D13—42no—
1265D13—42no—
1266D13—81no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—131no—
1281C24—131no—
1282C24—131no—
1283C24—262no—
1284C24—262no—
1285C24—262no—
1286C24—262no—
1287C24—262no—
1288C24—521no—
1289C24—521no—
1290C24#612714yes—
1291C24C23×D1311yescharacteristic
1292C24C23×D1311yescharacteristic
1293C24C23×D1311yescharacteristic
1294C24C23×D1311yescharacteristic
1295C24C23×D1311yescharacteristic
1296C2×Q8—521no—
1297C2×Q8—521no—
1298C2×Q8—521no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—416no—
1312C2×D4—262no—
1313C2×D4—262no—
1314C2×D4—262no—
1315C2×D4—262no—
1316C2×D4—262no—
1317C2×D4—262no—
1318C2×D4—262no—
1319C2×D4—262no—
1320C2×D4—262no—
1321C2×D4—262no—
1322C2×D4—262no—
1323C2×D4—262no—
1324C2×D4—262no—
1325C2×D4—262no—
1326C2×D4—262no—
1327C2×D4—262no—
1328C2×D4—262no—
1329C2×D4—262no—
1330C2×D4—262no—
1331C2×D4—262no—
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—
1348C2×D4—521no—
1349C2×D4—521no—
1350C2×D4—521no—
1351C2×D4—521no—
1352C2×D4—521no—
1353C2×D4—521no—
1354C2×D4—521no—
1355C2×D4—521no—
1356C2×D4—521no—
1357C2×D4—5216no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
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—131no—
1374C22×C4—131no—
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—262no—
1387C22×C4—262no—
1388C22×C4—262no—
1389C22×C4—262no—
1390C22×C4—262no—
1391C22×C4—262no—
1392C22×C4—262no—
1393C22×C4—262no—
1394C22×C4—521no—
1395C22×C4—521no—
1396C22×C4—521no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—521no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4—521no—
1404C22×C4—521no—
1405C22×C4—5216no—
1406C22×C4—521no—
1407C22×C4—521no—
1408C22×C4—521no—
1409C22×C4—521no—
1410C22×C4—521no—
1411C22×C4C23×D1311yescharacteristic
1412C22×C4C23×D1311yescharacteristic
1413C22×C4C23×D1311yescharacteristic
1414C22×C4C23×D1311yescharacteristic
1415C22×C4C23×D1311yescharacteristic
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418C22×C4C23×D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C4⋊C4—262no—
1422C4⋊C4—262no—
1423C4⋊C4—521no—
1424C4⋊C4—521no—
1425C4⋊C4—521no—
1426C4⋊C4—521no—
1427C4⋊C4—521no—
1428C4⋊C4—521no—
1429C4⋊C4—521no—
1430C4⋊C4—521no—
1431C4⋊C4—521no—
1432C4⋊C4—521no—
1433C4⋊C4—521no—
1434C4⋊C4—521no—
1435C4⋊C4—521no—
1436C4⋊C4—521no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—262no—
1454C22⋊C4—262no—
1455C22⋊C4—262no—
1456C22⋊C4—262no—
1457C22⋊C4—262no—
1458C22⋊C4—262no—
1459C22⋊C4—262no—
1460C22⋊C4—262no—
1461C22⋊C4—262no—
1462C22⋊C4—262no—
1463C22⋊C4—262no—
1464C22⋊C4—262no—
1465C22⋊C4—521no—
1466C22⋊C4—521no—
1467C22⋊C4—521no—
1468C22⋊C4—521no—
1469C22⋊C4—521no—
1470C22⋊C4—521no—
1471C22⋊C4—521no—
1472C22⋊C4—521no—
1473C22⋊C4—521no—
1474C22⋊C4—521no—
1475C22⋊C4—521no—
1476C22⋊C4—521no—
1477C22⋊C4—521no—
1478C22⋊C4—521no—
1479C22⋊C4—521no—
1480C22⋊C4—521no—
1481C22⋊C4—521no—
1482C22⋊C4—521no—
1483C22⋊C4—521no—
1484C22⋊C4—521no—
1485C22⋊C4—521no—
1486C22⋊C4—521no—
1487C22⋊C4—521no—
1488C22⋊C4—521no—
1489C22⋊C4—521no—
1490C22⋊C4—521no—
1491C22⋊C4—521no—
1492C22⋊C4—521no—
1493C22⋊C4—521no—
1494C22⋊C4—521no—
1495C22⋊C4—521no—
1496C22⋊C4—521no—
1497C42—521no—
1498C42—521no—
1499C42—521no—
1500C13#3677611yescharacteristic, complemented, Sylow
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
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—44no—
1533C23—44no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—132no—
1546C23—132no—
1547C23—268no—
1548C23—261no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—261no—
1556C23—261no—
1557C23—261no—
1558C23—261no—
1559C23—261no—
1560C23—261no—
1561C23—261no—
1562C23—261no—
1563C23—261no—
1564C23—261no—
1565C23—261no—
1566C23—261no—
1567C23—524no—
1568C23—524no—
1569C23—524no—
1570C23—524no—
1571C23—524no—
1572C23—524no—
1573C23C2×#612712yes—
1574C23C2×#612712yes—
1575C23C2×#612712yes—
1576C23#8825112yes—
1577C23#8825112yes—
1578C23C24×D1311yescharacteristic
1579Q8—1042no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—524no—
1585D4—524no—
1586D4—524no—
1587D4—524no—
1588D4—524no—
1589D4—1042no—
1590D4—1042no—
1591D4—1042no—
1592D4—1042no—
1593D4—1042no—
1594D4—1042no—
1595D4—1042no—
1596D4—1042no—
1597D4—1042no—
1598D4—1042no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—82no—
1634C2×C4—132no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—261no—
1653C2×C4—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—261no—
1659C2×C4—261no—
1660C2×C4—261no—
1661C2×C4—261no—
1662C2×C4—261no—
1663C2×C4—261no—
1664C2×C4—261no—
1665C2×C4—261no—
1666C2×C4—261no—
1667C2×C4—261no—
1668C2×C4—261no—
1669C2×C4—261no—
1670C2×C4—261no—
1671C2×C4—261no—
1672C2×C4—261no—
1673C2×C4—524no—
1674C2×C4—524no—
1675C2×C4—524no—
1676C2×C4—524no—
1677C2×C4—524no—
1678C2×C4—524no—
1679C2×C4—1042no—
1680C2×C4—1042no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—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—88no—
1717C22—262no—
1718C22—262no—
1719C22—262no—
1720C22—262no—
1721C22—262no—
1722C22—262no—
1723C22—5216no—
1724C22—521no—
1725C22—521no—
1726C22—521no—
1727C22—521no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—521no—
1737C22—521no—
1738C22—521no—
1739C22#1171919914yes—
1740C22C22×#612711yescharacteristic
1741C22C2×#8825111yescharacteristic
1742C22C2×#8825111yescharacteristic
1743C22D13×H(5,𝔽2)11yescharacteristic
1744C22D13×H(5,𝔽2)11yescharacteristic
1745C22D13×H(5,𝔽2)11yescharacteristic
1746C22#1171965011yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—262no—
1758C4—521no—
1759C4—521no—
1760C4—521no—
1761C4—521no—
1762C4—521no—
1763C4—521no—
1764C4—521no—
1765C4—521no—
1766C4—521no—
1767C4—521no—
1768C4—521no—
1769C4—521no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—522no—
1776C2—522no—
1777C2—1041no—
1778C2C2×#1171919911yescharacteristic
1779C2#1312852111yescharacteristic
1780C2#1312866611yescharacteristic
1781C2#1312898811yescharacteristic
1782C2#1312901611yescharacteristic
1783C2#1312902311yescharacteristic
1784C2#1312907311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2308C2
hypercenter#2308D13
hypocenterC13#36776
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
1. #13123127C2semidirect
2. #13123117C2semidirect
3. #13122458C2semidirect
4. #13122457C2semidirect
5. #13122213C2semidirect
6. #13122070C2semidirect
7. #13122062C2semidirect
8. #13122055C2semidirect
9. #13121972C2semidirect
10. #13121483C2semidirect
11. #13121399C2semidirect
12. #13121387C2semidirect
13. #13121273C2semidirect
14. #13121273C2semidirect
15. #13121216C2semidirect
16. #13121165C2semidirect
17. #13121141C2semidirect
18. #13121044C2semidirect
19. #13120791C2semidirect
20. #13120766C2semidirect
21. #13119398C2semidirect
22. #13118964C2semidirect
23. #13118588C2semidirect
24. #13118497C2semidirect
25. #13118374C2semidirect
26. #13118210C2semidirect
27. #13118204C2semidirect
28. #13118146C2semidirect
29. #13117494C2semidirect
30. C2×#11718617C2semidirect
31. C13×#2308C2semidirect
34. C23×C4×D13C22semidirect
40. C2×#88207C22semidirect
46. C2×#88184C22semidirect
47. C2×#88184C22semidirect
48. C2×C4×C22⋊D13C22semidirect
49. C22×#6103C22semidirect
50. C2×#88178C22semidirect
51. C2×#88139C22semidirect
52. C2×#88138C22semidirect
53. C2×#88138C22semidirect
54. C2×#88138C22semidirect
55. C2×#88137C22semidirect
56. C2×#88137C22semidirect
57. C2×#88136C22semidirect
58. C2×#88132C22semidirect
63. C13×#386C22semidirect
64. C13×#386C22semidirect
65. C13×#386C22semidirect
66. C13×#386C22semidirect
67. C13×#381C22semidirect
68. C13×#381C22semidirect
69. C13×#379C22semidirect
70. C13×#379C22semidirect
72. #11718908C22semidirect
77. #11718884C22semidirect
78. #11718884C22semidirect
79. #11718883C22semidirect
80. #11718883C22semidirect
87. #11718874C22semidirect
88. #11718874C22semidirect
89. #11718874C22semidirect
90. #11718874C22semidirect
91. #11718873C22semidirect
92. #11718871C22semidirect
93. #11718871C22semidirect
94. #11718871C22semidirect
95. #11718871C22semidirect
96. C4×C22⋊Dic13C22semidirect
97. C2×#88071C22semidirect
98. C2×#88071C22semidirect
101. #11718622C22semidirect
102. #11718622C22semidirect
103. #11718622C22semidirect
106. #11718621C22semidirect
107. #11718620C22semidirect
108. #11718620C22semidirect
109. #11718620C22semidirect
110. #11718619C22semidirect
111. #11718618C22semidirect
112. #11718618C22semidirect
113. #11718618C22semidirect
114. #11718618C22semidirect
119. #11718617C22semidirect
120. #11718617C22semidirect
121. #11718617C22semidirect
122. #11718617C22semidirect
123. #11718617C22semidirect
124. #11718617C22semidirect
125. #11718617C22semidirect
126. #11718617C22semidirect
127. #11718617C22semidirect
128. #11718617C22semidirect
129. #11718617C22semidirect
130. #11718616C22semidirect
131. #11718614C22semidirect
132. #11718614C22semidirect
133. #11718613C22semidirect
134. #11718613C22semidirect
135. #11718613C22semidirect
136. #11718613C22semidirect
137. #11718613C22semidirect
138. #11718612C22semidirect
139. #11718612C22semidirect
140. #11718611C22semidirect
141. #11718611C22semidirect
142. #11718610C22semidirect
143. #11718609C22semidirect
144. #11718609C22semidirect
145. #11718609C22semidirect
146. #11718608C22semidirect
147. #11718608C22semidirect
148. #11718607C22semidirect
149. #11718606C22semidirect
150. #11718606C22semidirect
151. #11718605C22semidirect
152. #11718605C22semidirect
153. #11718605C22semidirect
154. #11718603C22semidirect
155. #11718337C22semidirect
156. #11718336C22semidirect
157. #11718336C22semidirect
158. #11718335C22semidirect
159. #11718334C22semidirect
160. #11718334C22semidirect
161. #11718333C22semidirect
162. #11718331C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718329C22semidirect
166. #11718329C22semidirect
167. #11718328C22semidirect
168. #11718328C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718326C22semidirect
172. #11718325C22semidirect
173. #11718325C22semidirect
174. #11718325C22semidirect
175. C13⋊#401C22semidirect
176. C13⋊#401C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718320C22semidirect
181. #11718319C22semidirect
182. #11718319C22semidirect
183. #11718319C22semidirect
184. #11718316C22semidirect
185. #11718315C22semidirect
186. #11718312C22semidirect
638. #2308D13semidirect
944. #386C2×D13semidirect
945. #386C2×D13semidirect
946. #386C2×D13semidirect
947. #386C2×D13semidirect
961. #381C2×D13semidirect
962. #381C2×D13semidirect
970. #379C2×D13semidirect
971. #379C2×D13semidirect
1500. C13#36776semidirect

Maximal subgroups

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

subgroupindex
#131231272
#131231172
#131224582
#131224572
#131222132
#131220702
#131220622
#131220552
#131219722
#131214832
#131213992
#131213872
#131212732
#131212162
#131211652
#131211412
#131210442
#131207912
#131207662
#131193982
#131189642
#131185882
#131184972
#131183742
#131182102
#131182042
#131181462
#131174942
C2×#117186172
C13×#23082
#3677613