Finite Group Databasebeta

← #16035721

Subgroups — #16035721

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123164C211yesmaximal, characteristic, complemented
2#13123157C211yesmaximal, characteristic, complemented
3#13123149C211yesmaximal, characteristic, complemented
4#13123133C211yesmaximal, characteristic, complemented
5#13120901C211yesmaximal, characteristic, complemented
6#13120839C211yesmaximal, characteristic, complemented
7#13120826C211yesmaximal, characteristic, complemented
8#13120824C211yesmaximal, characteristic, complemented
9#13119496C211yesmaximal, characteristic, complemented
10#13119496C211yesmaximal, characteristic, complemented
11#13119398C211yesmaximal, characteristic, complemented
12#13119396C211yesmaximal, characteristic, complemented
13#13119337C211yesmaximal, characteristic, complemented
14#13119164C211yesmaximal, characteristic, complemented
15#13119076C211yesmaximal, characteristic, complemented
16#13118956C211yesmaximal, characteristic, complemented
17#13118889C211yesmaximal, characteristic, complemented
18#13118775C211yesmaximal, characteristic, complemented
19#13118588C211yesmaximal, characteristic, complemented
20#13118497C211yesmaximal, characteristic, complemented
21#13118389C211yesmaximal, characteristic, complemented
22#13118226C211yesmaximal, characteristic, complemented
23#13118210C211yesmaximal, characteristic
24#13118159C211yesmaximal, characteristic, complemented
25#13117569C211yesmaximal, characteristic, complemented
26#13117494C211yesmaximal, characteristic, complemented
27#13117470C211yesmaximal, characteristic, complemented
28#13117434C211yesmaximal, characteristic, complemented
29C4×#88207C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic13C211yesmaximal, 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
39C22×C22⋊Dic13C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88189C2211yescharacteristic
44C2×#88189C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic, complemented
47C2×C4×C22⋊D13C2211yescharacteristic, complemented
48C2×#88178C2211yescharacteristic
49C22×C4×Dic13C2211yescharacteristic, complemented
50C22×C4×Dic13C2211yescharacteristic, complemented
51C2×#88140C2211yescharacteristic, complemented
52C2×#88139C2211yescharacteristic, complemented
53C2×#88133C2211yescharacteristic, complemented
54C2×#88132C2211yescharacteristic, complemented
55C13×#386C2211yescharacteristic
56C13×#386C2211yescharacteristic
57C13×#386C2211yescharacteristic
58C13×#386C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C2×C13×#95C2211yescharacteristic
64C2×C13×#95C2211yescharacteristic
65#11718908C2211yescharacteristic
66#11718908C2211yescharacteristic
67#11718908C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718884C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718883C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718883C2211yescharacteristic
75#11718883C2211yescharacteristic
76#11718883C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718874C2211yescharacteristic
83#11718874C2211yescharacteristic
84#11718874C2211yescharacteristic
85#11718874C2211yescharacteristic, complemented
86#11718874C2211yescharacteristic, complemented
87#11718873C2211yescharacteristic
88#11718873C2211yescharacteristic
89#11718873C2211yescharacteristic
90#11718871C2211yescharacteristic
91#11718871C2211yescharacteristic
92#11718871C2211yescharacteristic
93#11718871C2211yescharacteristic
94#11718871C2211yescharacteristic
95#11718871C2211yescharacteristic
96#11718871C2211yescharacteristic, complemented
97#11718871C2211yescharacteristic, complemented
98C4×C22⋊Dic13C2211yescharacteristic
99C4×C22⋊Dic13C2211yescharacteristic
100C4×C22⋊Dic13C2211yescharacteristic
101C4×C22⋊Dic13C2211yescharacteristic
102C4×C22⋊Dic13C2211yescharacteristic
103C4×C22⋊Dic13C2211yescharacteristic, complemented
104C4×C22⋊Dic13C2211yescharacteristic, complemented
105C4×C22⋊Dic13C2211yescharacteristic, complemented
106C4×C22⋊Dic13C2211yescharacteristic, complemented
107C4×C22⋊Dic13C2211yescharacteristic, complemented
108C4×C22⋊Dic13C2211yescharacteristic, complemented
109C2×#88071C2211yescharacteristic, complemented
110C2×#88071C2211yescharacteristic, complemented
111#11718622C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic, complemented
113#11718622C2211yescharacteristic, complemented
114#11718620C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic, complemented
116#11718618C2211yescharacteristic, complemented
117#11718618C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic, complemented
119#11718617C2211yescharacteristic, complemented
120#11718617C2211yescharacteristic, complemented
121#11718614C2211yescharacteristic, complemented
122#11718614C2211yescharacteristic, complemented
123#11718614C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718613C2211yescharacteristic, complemented
126#11718613C2211yescharacteristic, complemented
127#11718612C2211yescharacteristic, complemented
128#11718612C2211yescharacteristic, complemented
129#11718612C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718612C2211yescharacteristic, complemented
132#11718612C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718612C2211yescharacteristic, complemented
137#11718611C2211yescharacteristic, complemented
138#11718611C2211yescharacteristic, complemented
139#11718610C2211yescharacteristic, complemented
140#11718609C2211yescharacteristic, complemented
141#11718609C2211yescharacteristic, complemented
142#11718609C2211yescharacteristic, complemented
143#11718608C2211yescharacteristic, complemented
144#11718608C2211yescharacteristic, complemented
145#11718607C2211yescharacteristic, complemented
146#11718606C2211yescharacteristic, complemented
147#11718606C2211yescharacteristic, complemented
148#11718606C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718605C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic, complemented
152#11718605C2211yescharacteristic, complemented
153#11718604C2211yescharacteristic, complemented
154#11718603C2211yescharacteristic, complemented
155#11718336C2211yescharacteristic, complemented
156#11718335C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718328C2211yescharacteristic, complemented
162#11718325C2211yescharacteristic, complemented
163C13⋊#401C2211yescharacteristic, complemented
164#11718321C2211yescharacteristic, complemented
165#11718320C2211yescharacteristic, complemented
166#11718319C2211yescharacteristic, complemented
167#11718319C2211yescharacteristic, complemented
168#11718318C2211yescharacteristic, complemented
169#11718316C2211yescharacteristic, complemented
170#11718316C2211yescharacteristic, complemented
171#11718315C2211yescharacteristic, complemented
172#11718315C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718314C2211yescharacteristic, complemented
175#11718313C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718312C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718308C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, 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—24no—
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
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C2×C13×C22⋊C4—24no—
220C2×C13×C22⋊C4—42no—
221C2×C13×C22⋊C4—42no—
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234#88207—24no—
235#88207—24no—
236C2×C22⋊Dic13—24no—
237C2×C22⋊Dic13—24no—
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
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
269#88193—42no—
270#88193—42no—
271#88189—42no—
272#88189—42no—
273C4×C22⋊D13—24no—
274C4×C22⋊D13—42no—
275C4×C22⋊D13—42no—
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292#88178—24no—
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13—42no—
309C2×C4×Dic13—42no—
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×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88140—42no—
322#88139—42no—
323#88133—42no—
324#88132—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34998—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—22no—
376C24×C13—22no—
377C24×C13—41no—
378C24×C13—41no—
379C24×C13—41no—
380C24×C13—41no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13#4114yes—
384C24×C13C2411yescharacteristic
385C24×C13C2411yescharacteristic
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C24×C13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—416no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13—41no—
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—416no—
430C22×C4×C13#4114yes—
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
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—41no—
451C2×C22⋊D13—41no—
452C2×C22⋊D13—41no—
453C2×C22⋊D13—41no—
454C2×C22⋊D13—41no—
455C2×C22⋊D13—41no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—41no—
465C22×Dic13—41no—
466C22×Dic13—41no—
467C22×Dic13—41no—
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C2×C4×D13—22no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13#4114yes—
532#6103—22no—
533#6103—22no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541C4⋊Dic13—22no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2854—131no—
575#2853—131no—
576#2852—131no—
577#2850—131no—
578#2653—131no—
579#2649—131no—
580#2648—131no—
581#2648—131no—
582#2518—131no—
583#2518—131no—
584#2510—131no—
585#2510—131no—
586#2505—131no—
587#2488—131no—
588#2480—131no—
589#2472—131no—
590#2467—131no—
591#2459—131no—
592#2444—131no—
593#2437—131no—
594#2425—131no—
595#2412—131no—
596#2410—131no—
597#2405—131no—
598#2329—131no—
599#2321—131no—
600#2318—131no—
601#2312—131no—
602C4×#120—131no—
603C2×#386D1311yescharacteristic, complemented
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—28no—
614C23×C13—28no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—44no—
636C23×C13—44no—
637C23×C13—44no—
638C23×C13—44no—
639C23×C13—44no—
640C23×C13—44no—
641C23×C13—44no—
642C23×C13—44no—
643C23×C13—82no—
644C23×C13—82no—
645C23×C13—82no—
646C23×C13—82no—
647C23×C13C2×#4112yes—
648C23×C13C2×#4112yes—
649C23×C13C2×#4112yes—
650C23×C13C2×#4112yes—
651C23×C13C2×#4112yes—
652C23×C13H(5,𝔽2)12yes—
653C23×C13H(5,𝔽2)12yes—
654C23×C13C2511yescharacteristic
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662D4×C13—44no—
663D4×C13—44no—
664D4×C13—44no—
665D4×C13—44no—
666C2×C4×C13—28no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—44no—
695C2×C4×C13—44no—
696C2×C4×C13—44no—
697C2×C4×C13—44no—
698C2×C4×C13—44no—
699C2×C4×C13—44no—
700C2×C4×C13—82no—
701C2×C4×C13—82no—
702C2×C4×C13C2×#4112yes—
703C2×C4×C13C2×#4112yes—
704C2×C4×C13H(5,𝔽2)12yes—
705C22⋊D13—44no—
706C22⋊D13—44no—
707C22⋊D13—44no—
708C22⋊D13—82no—
709C22⋊D13—82no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—44no—
754C2×Dic13—44no—
755C2×Dic13—44no—
756C2×Dic13—44no—
757C2×Dic13C2×#4112yes—
758C2×Dic13C2×#4112yes—
759C4×D13—82no—
760Dic26—82no—
761C23×D4C2×D1311yescharacteristic
762C24×C4C2×D1311yescharacteristic
763C2×#126—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123—131no—
767C2×#123—131no—
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#121—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4C2×D1311yescharacteristic
780C22×C22⋊C4C2×D1311yescharacteristic
781C22×C22⋊C4C2×D1311yescharacteristic
782C22×C42—131no—
783C22×C42—131no—
784#401—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400—131no—
789#399—131no—
790#398—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397—131no—
798#397—131no—
799#396—131no—
800#396—131no—
801#396—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#394—131no—
808#394—131no—
809#394—131no—
810#394—131no—
811#394—131no—
812#393—131no—
813#393—131no—
814#392—131no—
815#392—131no—
816#391—131no—
817#391—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#389—131no—
822#389—131no—
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386C2×D1311yescharacteristic
868#386C2×D1311yescharacteristic
869#386C2×D1311yescharacteristic
870#386C2×D1311yescharacteristic
871#386C2×D1311yescharacteristic
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#383—131no—
887#383—131no—
888#382—131no—
889#382—131no—
890#381—131no—
891#381—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380—131no—
897#379—131no—
898#379—131no—
899#379—131no—
900#379—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95C2×D1311yescharacteristic
915C2×#95C2×D1311yescharacteristic
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—22no—
927C22×C13—22no—
928C22×C13—22no—
929C22×C13—22no—
930C22×C13—22no—
931C22×C13—416no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—88no—
951C22×C13#52914yes—
952C22×C13#53814yes—
953C22×C13C22×#4111yescharacteristic
954C22×C13C22×#4111yescharacteristic
955C22×C13C22×#4111yescharacteristic
956C22×C13C2×H(5,𝔽2)11yescharacteristic
957C22×C13C2×H(5,𝔽2)11yescharacteristic
958C22×C13C2×H(5,𝔽2)11yescharacteristic
959C22×C13#58511yescharacteristic
960C2×D13—41no—
961C2×D13—41no—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—41no—
966C2×D13—41no—
967C4×C13—22no—
968C4×C13—22no—
969C4×C13—22no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977Dic13—22no—
978Dic13—22no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992C25C22×D1311yescharacteristic
993C25C22×D1311yescharacteristic
994C22×Q8—131no—
995C22×D4—24no—
996C22×D4—42no—
997C22×D4—42no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C22×D4C22×D1311yescharacteristic
1006C22×D4C22×D1311yescharacteristic
1007C23×C4—24no—
1008C23×C4—42no—
1009C23×C4—42no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4C22×D1311yescharacteristic
1016C23×C4C22×D1311yescharacteristic
1017C23×C4C22×D1311yescharacteristic
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021C23×C4C22×D1311yescharacteristic
1022C23×C4C22×D1311yescharacteristic
1023C23×C4C22×D1311yescharacteristic
1024#126—522no—
1025#124—522no—
1026#123—522no—
1027#123—522no—
1028#123—522no—
1029C22⋊Q8—264no—
1030C22⋊Q8—522no—
1031#121—522no—
1032#121—522no—
1033#120—264no—
1034#120—264no—
1035C4×D4—264no—
1036C4×D4—522no—
1037C4×D4—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—42no—
1062C2×C22⋊C4—42no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—264no—
1104C2×C22⋊C4—264no—
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—522no—
1129C2×C42—522no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174C2×C13—24no—
1175C2×C13—24no—
1176C2×C13—42no—
1177C2×C13—81no—
1178C2×C13—81no—
1179C2×C13C2×#52911yescharacteristic
1180C2×C13C2×#53811yescharacteristic
1181C2×C13#345911yescharacteristic
1182C2×C13#349011yescharacteristic
1183C2×C13#349411yescharacteristic
1184C2×C13#351311yescharacteristic
1185C2×C13#351911yescharacteristic
1186D13—81no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—131no—
1201C24#612714yes—
1202C24C23×D1311yescharacteristic
1203C24C23×D1311yescharacteristic
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—416no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—262no—
1230C2×D4—262no—
1231C2×D4—262no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—416no—
1265C22×C4—131no—
1266C22×C4—131no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—131no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—262no—
1285C22×C4—262no—
1286C22×C4—262no—
1287C22×C4—262no—
1288C22×C4—262no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
1294C22×C4—521no—
1295C22×C4#612914yes—
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C4⋊C4—262no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—134no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
1358C22⋊C4—262no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C42—262no—
1381C42—262no—
1382C42—262no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C42—521no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42—521no—
1391C13#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—261no—
1435C23—261no—
1436C23—261no—
1437C23—261no—
1438C23—261no—
1439C23—261no—
1440C23—261no—
1441C23C2×#612712yes—
1442C23C2×#612712yes—
1443C23C2×#612712yes—
1444C23C2×#612912yes—
1445C23#8825112yes—
1446C23#8825112yes—
1447C23#41×D1312yes—
1448C23C24×D1311yescharacteristic
1449Q8—1042no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—524no—
1455D4—524no—
1456D4—524no—
1457D4—1042no—
1458D4—1042no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—132no—
1496C2×C4—132no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—261no—
1538C2×C4—261no—
1539C2×C4—261no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4—524no—
1543C2×C4—524no—
1544C2×C4—1042no—
1545C2×C4C2×#612912yes—
1546C2×C4C2×#612912yes—
1547C2×C4#8825112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—521no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22#1171919914yes—
1591C22#1171924314yes—
1592C22C22×#612711yescharacteristic
1593C22C22×#612911yescharacteristic
1594C22C2×#8825111yescharacteristic
1595C22C2×#8825111yescharacteristic
1596C22C2×#8825111yescharacteristic
1597C22C2×#41×D1311yescharacteristic
1598C22#1171964811yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—262no—
1610C4—262no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—1041no—
1630C2C2×#1171924311yescharacteristic
1631C2C2×#1171919911yescharacteristic
1632C2#1312824511yescharacteristic
1633C2#1312852311yescharacteristic
1634C2#1312856511yescharacteristic
1635C2#1312876811yescharacteristic
1636C2#1312886211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#386C2
prime radical#13118210C2
hypercenterC2×#386D13
hypocenterC13#34998
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #13123164C2semidirect
2. #13123157C2semidirect
3. #13123149C2semidirect
4. #13123133C2semidirect
5. #13120901C2semidirect
6. #13120839C2semidirect
7. #13120826C2semidirect
8. #13120824C2semidirect
9. #13119496C2semidirect
10. #13119496C2semidirect
11. #13119398C2semidirect
12. #13119396C2semidirect
13. #13119337C2semidirect
14. #13119164C2semidirect
15. #13119076C2semidirect
16. #13118956C2semidirect
17. #13118889C2semidirect
18. #13118775C2semidirect
19. #13118588C2semidirect
20. #13118497C2semidirect
21. #13118389C2semidirect
22. #13118226C2semidirect
24. #13118159C2semidirect
25. #13117569C2semidirect
26. #13117494C2semidirect
27. #13117470C2semidirect
28. #13117434C2semidirect
29. C4×#88207C2semidirect
30. C2×C4×C22⋊Dic13C2semidirect
31. C2×C13×#386C2semidirect
46. C2×C4×C22⋊D13C22semidirect
47. C2×C4×C22⋊D13C22semidirect
49. C22×C4×Dic13C22semidirect
50. C22×C4×Dic13C22semidirect
51. C2×#88140C22semidirect
52. C2×#88139C22semidirect
53. C2×#88133C22semidirect
54. C2×#88132C22semidirect
85. #11718874C22semidirect
86. #11718874C22semidirect
96. #11718871C22semidirect
97. #11718871C22semidirect
103. C4×C22⋊Dic13C22semidirect
104. C4×C22⋊Dic13C22semidirect
105. C4×C22⋊Dic13C22semidirect
106. C4×C22⋊Dic13C22semidirect
107. C4×C22⋊Dic13C22semidirect
108. C4×C22⋊Dic13C22semidirect
109. C2×#88071C22semidirect
110. C2×#88071C22semidirect
111. #11718622C22semidirect
112. #11718622C22semidirect
113. #11718622C22semidirect
114. #11718620C22semidirect
115. #11718619C22semidirect
116. #11718618C22semidirect
117. #11718618C22semidirect
118. #11718618C22semidirect
119. #11718617C22semidirect
120. #11718617C22semidirect
121. #11718614C22semidirect
122. #11718614C22semidirect
123. #11718614C22semidirect
124. #11718613C22semidirect
125. #11718613C22semidirect
126. #11718613C22semidirect
127. #11718612C22semidirect
128. #11718612C22semidirect
129. #11718612C22semidirect
130. #11718612C22semidirect
131. #11718612C22semidirect
132. #11718612C22semidirect
133. #11718612C22semidirect
134. #11718612C22semidirect
135. #11718612C22semidirect
136. #11718612C22semidirect
137. #11718611C22semidirect
138. #11718611C22semidirect
139. #11718610C22semidirect
140. #11718609C22semidirect
141. #11718609C22semidirect
142. #11718609C22semidirect
143. #11718608C22semidirect
144. #11718608C22semidirect
145. #11718607C22semidirect
146. #11718606C22semidirect
147. #11718606C22semidirect
148. #11718606C22semidirect
149. #11718605C22semidirect
150. #11718605C22semidirect
151. #11718605C22semidirect
152. #11718605C22semidirect
153. #11718604C22semidirect
154. #11718603C22semidirect
155. #11718336C22semidirect
156. #11718335C22semidirect
157. #11718331C22semidirect
158. #11718330C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
161. #11718328C22semidirect
162. #11718325C22semidirect
163. C13⋊#401C22semidirect
164. #11718321C22semidirect
165. #11718320C22semidirect
166. #11718319C22semidirect
167. #11718319C22semidirect
168. #11718318C22semidirect
169. #11718316C22semidirect
170. #11718316C22semidirect
171. #11718315C22semidirect
172. #11718315C22semidirect
173. #11718315C22semidirect
174. #11718314C22semidirect
175. #11718313C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718312C22semidirect
180. #11718311C22semidirect
181. #11718311C22semidirect
182. #11718308C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
603. C2×#386D13semidirect
1391. C13#34998semidirect

Maximal subgroups

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

subgroupindex
#131231642
#131231572
#131231492
#131231332
#131209012
#131208392
#131208262
#131208242
#131194962
#131193982
#131193962
#131193372
#131191642
#131190762
#131189562
#131188892
#131187752
#131185882
#131184972
#131183892
#131182262
#131182102
#131181592
#131175692
#131174942
#131174702
#131174342
C4×#882072
C2×C4×C22⋊Dic132
C2×C13×#3862
#3499813