Finite Group Databasebeta

← #16036928

Subgroups — #16036928

Order 3328.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123166C211yesmaximal, characteristic, complemented
2#13123160C211yesmaximal, characteristic, complemented
3#13123127C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121036C211yesmaximal, characteristic, complemented
6#13120966C211yesmaximal, characteristic, complemented
7#13120839C211yesmaximal, characteristic, complemented
8#13120824C211yesmaximal, characteristic, complemented
9#13120059C211yesmaximal, characteristic, complemented
10#13119795C211yesmaximal, characteristic, complemented
11#13119765C211yesmaximal, characteristic, complemented
12#13119724C211yesmaximal, characteristic, complemented
13#13119688C211yesmaximal, characteristic, complemented
14#13119615C211yesmaximal, characteristic, complemented
15#13119551C211yesmaximal, characteristic, complemented
16#13119477C211yesmaximal, characteristic, complemented
17#13119019C211yesmaximal, characteristic, complemented
18#13118946C211yesmaximal, characteristic, complemented
19#13118847C211yesmaximal, characteristic, complemented
20#13118742C211yesmaximal, characteristic, complemented
21#13118392C211yesmaximal, characteristic, complemented
22#13118369C211yesmaximal, characteristic, complemented
23#13118310C211yesmaximal, characteristic, complemented
24#13118303C211yesmaximal, characteristic, complemented
25#13117628C211yesmaximal, characteristic, complemented
26#13117628C211yesmaximal, characteristic, complemented
27#13117596C211yesmaximal, characteristic, complemented
28C4×#88138C211yesmaximal, characteristic, complemented
29#13117282C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2333C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×#88193C2211yescharacteristic
35C2×#88192C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic, complemented
41C2×#88180C2211yescharacteristic, complemented
42C2×#88148C2211yescharacteristic
43C2×#88138C2211yescharacteristic
44C2×#88138C2211yescharacteristic
45C2×#88138C2211yescharacteristic
46C2×#88137C2211yescharacteristic
47C2×#88137C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×#88137C2211yescharacteristic
50C2×#88137C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C4×D52C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic
57C13×#390C2211yescharacteristic
58C13×#390C2211yescharacteristic, complemented
59C13×#388C2211yescharacteristic
60C13×#388C2211yescharacteristic, complemented
61C13×#387C2211yescharacteristic, complemented
62C13×#387C2211yescharacteristic, complemented
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#386C2211yescharacteristic, complemented
67C13×#381C2211yescharacteristic, complemented
68C4×C13×C22⋊C4C2211yescharacteristic
69C4×C13×C22⋊C4C2211yescharacteristic, complemented
70C4×C13×C22⋊C4C2211yescharacteristic, complemented
71#11718884C2211yescharacteristic
72#11718884C2211yescharacteristic
73#11718884C2211yescharacteristic, complemented
74#11718883C2211yescharacteristic
75#11718883C2211yescharacteristic
76#11718883C2211yescharacteristic
77#11718882C2211yescharacteristic, complemented
78#11718881C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718874C2211yescharacteristic, complemented
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic, complemented
85C4×C22⋊Dic13C2211yescharacteristic
86#11718655C2211yescharacteristic
87#11718653C2211yescharacteristic
88#11718652C2211yescharacteristic
89#11718651C2211yescharacteristic, complemented
90#11718650C2211yescharacteristic
91#11718648C2211yescharacteristic
92#11718646C2211yescharacteristic, complemented
93#11718645C2211yescharacteristic, complemented
94#11718645C2211yescharacteristic, complemented
95#11718644C2211yescharacteristic, complemented
96#11718639C2211yescharacteristic, complemented
97#11718622C2211yescharacteristic
98#11718622C2211yescharacteristic, complemented
99#11718621C2211yescharacteristic
100#11718620C2211yescharacteristic
101#11718620C2211yescharacteristic, complemented
102#11718618C2211yescharacteristic
103#11718618C2211yescharacteristic
104#11718618C2211yescharacteristic
105#11718618C2211yescharacteristic, complemented
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic, complemented
112#11718616C2211yescharacteristic
113#11718614C2211yescharacteristic
114#11718614C2211yescharacteristic, complemented
115#11718613C2211yescharacteristic, complemented
116#11718613C2211yescharacteristic, complemented
117#11718612C2211yescharacteristic
118#11718612C2211yescharacteristic, complemented
119#11718612C2211yescharacteristic, complemented
120#11718612C2211yescharacteristic, complemented
121#11718611C2211yescharacteristic
122#11718610C2211yescharacteristic
123#11718609C2211yescharacteristic
124#11718609C2211yescharacteristic, complemented
125#11718606C2211yescharacteristic, complemented
126#11718606C2211yescharacteristic, complemented
127#11718606C2211yescharacteristic, complemented
128#11718606C2211yescharacteristic, complemented
129#11718605C2211yescharacteristic
130#11718605C2211yescharacteristic, complemented
131#11718603C2211yescharacteristic
132C22⋊C4×Dic13C2211yescharacteristic
133C22⋊C4×Dic13C2211yescharacteristic
134#11718601C2211yescharacteristic
135#11718601C2211yescharacteristic, complemented
136#11718600C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic, complemented
141#11718594C2211yescharacteristic, complemented
142#11718593C2211yescharacteristic, complemented
143C4×#6101C2211yescharacteristic, complemented
144C4×#6101C2211yescharacteristic, complemented
145#11718589C2211yescharacteristic, complemented
146#11718589C2211yescharacteristic, complemented
147#11718338C2211yescharacteristic
148#11718337C2211yescharacteristic
149#11718335C2211yescharacteristic, complemented
150#11718331C2211yescharacteristic
151#11718331C2211yescharacteristic, complemented
152#11718331C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic, complemented
155#11718329C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic
161#11718328C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718325C2211yescharacteristic
169#11718325C2211yescharacteristic
170#11718325C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173#11718321C2211yescharacteristic, complemented
174#11718319C2211yescharacteristic, complemented
175#11718319C2211yescharacteristic, complemented
176#11718318C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×C4×D13—24no—
205C22×C4×D13—42no—
206C22×C4×D13—42no—
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C13×#121—24no—
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
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
251#88193—42no—
252#88192—42no—
253#88191—42no—
254#88191—42no—
255C4×C22⋊D13—24no—
256C4×C22⋊D13—42no—
257C4×C22⋊D13—42no—
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281#88180—42no—
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314#88148—42no—
315#88138—24no—
316#88138—24no—
317#88138—42no—
318#88137—24no—
319#88137—24no—
320#88137—42no—
321#88137—42no—
322#88137—42no—
323#88136—42no—
324C22⋊C4×D13—24no—
325C22⋊C4×D13—24no—
326C4×D52—42no—
327C42×D13—42no—
328C42×D13—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
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#35056—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—41no—
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—41no—
455C2×D52—41no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—416no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13#4114yes—
483C2×C4×D13#4114yes—
484C13×C4⋊C4—22no—
485C13×C4⋊C4—41no—
486C13×C4⋊C4—41no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4#4114yes—
499C42×C13—41no—
500C42×C13—41no—
501C42×C13—41no—
502C42×C13—41no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—41no—
533#6103—41no—
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—22no—
543C4⋊Dic13—22no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—22no—
553#6101—22no—
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—
563#6101—41no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—22no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573#2854—131no—
574#2853—131no—
575#2849—131no—
576#2847—131no—
577#2667—131no—
578#2661—131no—
579#2649—131no—
580#2648—131no—
581#2569—131no—
582#2543—131no—
583#2539—131no—
584#2534—131no—
585#2531—131no—
586#2526—131no—
587#2522—131no—
588#2516—131no—
589#2476—131no—
590#2471—131no—
591#2464—131no—
592#2457—131no—
593#2425—131no—
594#2424—131no—
595#2419—131no—
596#2418—131no—
597#2335—131no—
598#2335—131no—
599#2333—131no—
600#2333D1311yescharacteristic, complemented
601C4×#121—131no—
602#2290—131no—
603C2×C4×C22⋊C4—131no—
604C23×C13—21no—
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—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13C2×#4112yes—
625C23×C13C2511yescharacteristic
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—28no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13C2×#4112yes—
651C22×D13C2×#4112yes—
652C22×D13H(5,𝔽2)12yes—
653C22×D13H(5,𝔽2)12yes—
654D4×C13—82no—
655D4×C13—82no—
656D4×C13—82no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—44no—
690C2×C4×C13—44no—
691C2×C4×C13—82no—
692C2×C4×C13C2×#4112yes—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C22⋊D13—44no—
697C22⋊D13—44no—
698C22⋊D13—44no—
699C22⋊D13—82no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—44no—
740C2×Dic13C2×#4112yes—
741C2×Dic13C2×#4112yes—
742C2×Dic13H(5,𝔽2)12yes—
743D52—44no—
744D52—82no—
745C4×D13—28no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—82no—
754C24×C4—131no—
755C2×#123—131no—
756C2×#123—131no—
757C2×#123—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×#123—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#121C2×D1311yescharacteristic
767C2×#120—131no—
768C2×#120—131no—
769C2×#120—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×#117—131no—
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42—131no—
779#400—131no—
780#400—131no—
781#400—131no—
782#399—131no—
783#399—131no—
784#399—131no—
785#398—131no—
786#398—131no—
787#398—131no—
788#398—131no—
789#398—131no—
790#397—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#396—131no—
796#396—131no—
797#396—131no—
798#396—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#392—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#390—131no—
812#390—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390C2×D1311yescharacteristic
818#390C2×D1311yescharacteristic, complemented
819#389—131no—
820#389—131no—
821#389—131no—
822#389—131no—
823#388—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#388C2×D1311yescharacteristic
842#388C2×D1311yescharacteristic, complemented
843#387—131no—
844#387—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#387C2×D1311yescharacteristic, complemented
854#387C2×D1311yescharacteristic, complemented
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386C2×D1311yescharacteristic
871#386C2×D1311yescharacteristic
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic, complemented
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#381—131no—
882#381—131no—
883#381—131no—
884#381C2×D1311yescharacteristic, complemented
885#380—131no—
886#380—131no—
887#380—131no—
888#380—131no—
889#380—131no—
890#380—131no—
891#379—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4C2×D1311yescharacteristic
904C4×C22⋊C4C2×D1311yescharacteristic, complemented
905C4×C22⋊C4C2×D1311yescharacteristic, complemented
906#376—131no—
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13C22×#4111yescharacteristic
931C22×C13C22×#4111yescharacteristic
932C22×C13C22×#4111yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×H(5,𝔽2)11yescharacteristic
935C22×C13C2×H(5,𝔽2)11yescharacteristic
936C22×C13#58511yescharacteristic
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—416no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13#54014yes—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971Dic13—22no—
972Dic13—22no—
973Dic13—22no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984C25—131no—
985C22×D4—131no—
986C22×D4—131no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4C22×D1311yescharacteristic
995C22×D4C22×D1311yescharacteristic
996C22×D4C22×D1311yescharacteristic
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—264no—
1008C23×C4—522no—
1009C23×C4—522no—
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#123—264no—
1014#123—264no—
1015#123—522no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#121—24no—
1020#121—264no—
1021#121—264no—
1022#121—522no—
1023#121—522no—
1024#121—522no—
1025#120—522no—
1026#120—522no—
1027#120—522no—
1028C4×D4—264no—
1029C4×D4—522no—
1030C4×D4—522no—
1031C4×D4—522no—
1032#117—522no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—264no—
1098C2×C22⋊C4—264no—
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—522no—
1121C2×C42—522no—
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—42no—
1167C2×C13—81no—
1168C2×C13—81no—
1169C2×C13#344411yescharacteristic
1170C2×C13C2×#54011yescharacteristic
1171C2×C13#345911yescharacteristic
1172C2×C13#349011yescharacteristic
1173C2×C13#349411yescharacteristic
1174C2×C13#351311yescharacteristic
1175C2×C13#351911yescharacteristic
1176D13—24no—
1177D13—42no—
1178D13—81no—
1179C24—131no—
1180C24—131no—
1181C24—131no—
1182C24—262no—
1183C24—262no—
1184C24—262no—
1185C24—262no—
1186C24—262no—
1187C24—521no—
1188C24—521no—
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—262no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—521no—
1217C2×D4—521no—
1218C2×D4—521no—
1219C2×D4—521no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—134no—
1241C22×C4—134no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—5216no—
1280C22×C4—521no—
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—262no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—262no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—262no—
1331C22⋊C4—262no—
1332C22⋊C4—262no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
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—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4#612714yes—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—262no—
1374C42—262no—
1375C42—262no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C13#3505611yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—132no—
1404C23—132no—
1405C23—132no—
1406C23—132no—
1407C23—268no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—524no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23C2×#612712yes—
1432C23C24×D1311yescharacteristic
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—524no—
1437D4—524no—
1438D4—524no—
1439D4—524no—
1440D4—1042no—
1441D4—1042no—
1442D4—1042no—
1443D4—1042no—
1444D4—1042no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—82no—
1480C2×C4—132no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—268no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—524no—
1521C2×C4—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—1042no—
1529C2×C4C2×#612712yes—
1530C2×C4C2×#612712yes—
1531C2×C4#41×D1312yes—
1532C2×C4#41×D1312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—134no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—262no—
1564C22—5216no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22C22×#612711yescharacteristic
1577C22C2×#41×D1311yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22D13×H(5,𝔽2)11yescharacteristic
1580C22D13×H(5,𝔽2)11yescharacteristic
1581C22D13×H(5,𝔽2)11yescharacteristic
1582C22#1171965011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—262no—
1596C4—262no—
1597C4—262no—
1598C4—521no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—264no—
1612C2—522no—
1613C2—1041no—
1614C2#1312812911yescharacteristic
1615C2D13×#54011yescharacteristic
1616C2#1312824711yescharacteristic
1617C2#1312852211yescharacteristic
1618C2#1312856311yescharacteristic
1619C2#1312876411yescharacteristic
1620C2#1312885811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2333C2
hypercenter#2333D13
hypocenterC13#35056
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
1. #13123166C2semidirect
2. #13123160C2semidirect
3. #13123127C2semidirect
4. #13123117C2semidirect
5. #13121036C2semidirect
6. #13120966C2semidirect
7. #13120839C2semidirect
8. #13120824C2semidirect
9. #13120059C2semidirect
10. #13119795C2semidirect
11. #13119765C2semidirect
12. #13119724C2semidirect
13. #13119688C2semidirect
14. #13119615C2semidirect
15. #13119551C2semidirect
16. #13119477C2semidirect
17. #13119019C2semidirect
18. #13118946C2semidirect
19. #13118847C2semidirect
20. #13118742C2semidirect
21. #13118392C2semidirect
22. #13118369C2semidirect
23. #13118310C2semidirect
24. #13118303C2semidirect
25. #13117628C2semidirect
26. #13117628C2semidirect
27. #13117596C2semidirect
28. C4×#88138C2semidirect
29. #13117282C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2333C2semidirect
40. C2×C4×C22⋊D13C22semidirect
41. C2×#88180C22semidirect
58. C13×#390C22semidirect
60. C13×#388C22semidirect
61. C13×#387C22semidirect
62. C13×#387C22semidirect
66. C13×#386C22semidirect
67. C13×#381C22semidirect
69. C4×C13×C22⋊C4C22semidirect
70. C4×C13×C22⋊C4C22semidirect
73. #11718884C22semidirect
77. #11718882C22semidirect
82. #11718874C22semidirect
84. #11718871C22semidirect
89. #11718651C22semidirect
92. #11718646C22semidirect
93. #11718645C22semidirect
94. #11718645C22semidirect
95. #11718644C22semidirect
96. #11718639C22semidirect
98. #11718622C22semidirect
101. #11718620C22semidirect
105. #11718618C22semidirect
111. #11718617C22semidirect
114. #11718614C22semidirect
115. #11718613C22semidirect
116. #11718613C22semidirect
118. #11718612C22semidirect
119. #11718612C22semidirect
120. #11718612C22semidirect
124. #11718609C22semidirect
125. #11718606C22semidirect
126. #11718606C22semidirect
127. #11718606C22semidirect
128. #11718606C22semidirect
130. #11718605C22semidirect
135. #11718601C22semidirect
140. C4×#6103C22semidirect
141. #11718594C22semidirect
142. #11718593C22semidirect
143. C4×#6101C22semidirect
144. C4×#6101C22semidirect
145. #11718589C22semidirect
146. #11718589C22semidirect
149. #11718335C22semidirect
151. #11718331C22semidirect
152. #11718331C22semidirect
153. #11718330C22semidirect
154. #11718330C22semidirect
161. #11718328C22semidirect
173. #11718321C22semidirect
174. #11718319C22semidirect
175. #11718319C22semidirect
176. #11718318C22semidirect
177. #11718318C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718316C22semidirect
181. #11718315C22semidirect
182. #11718315C22semidirect
183. #11718315C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718308C22semidirect
600. #2333D13semidirect
818. #390C2×D13semidirect
842. #388C2×D13semidirect
853. #387C2×D13semidirect
854. #387C2×D13semidirect
873. #386C2×D13semidirect
884. #381C2×D13semidirect
904. C4×C22⋊C4C2×D13semidirect
905. C4×C22⋊C4C2×D13semidirect
1382. C13#35056semidirect

Maximal subgroups

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

subgroupindex
#131231662
#131231602
#131231272
#131231172
#131210362
#131209662
#131208392
#131208242
#131200592
#131197952
#131197652
#131197242
#131196882
#131196152
#131195512
#131194772
#131190192
#131189462
#131188472
#131187422
#131183922
#131183692
#131183102
#131183032
#131176282
#131175962
C4×#881382
#131172822
C4×C22⋊C4×D132
C13×#23332
#3505613