Finite Group Databasebeta

← #16036198

Subgroups — #16036198

Order 3328.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123205C211yesmaximal, characteristic, complemented
2#13123202C211yesmaximal, characteristic, complemented
3#13123163C211yesmaximal, characteristic, complemented
4#13123134C211yesmaximal, characteristic, complemented
5#13120863C211yesmaximal, characteristic, complemented
6#13120830C211yesmaximal, characteristic, complemented
7#13120828C211yesmaximal, characteristic, complemented
8#13120328C211yesmaximal, characteristic, complemented
9#13120326C211yesmaximal, characteristic, complemented
10#13119899C211yesmaximal, characteristic, complemented
11#13119891C211yesmaximal, characteristic, complemented
12#13119428C211yesmaximal, characteristic, complemented
13#13119183C211yesmaximal, characteristic, complemented
14#13119085C211yesmaximal, characteristic, complemented
15#13119077C211yesmaximal, characteristic, complemented
16#13118629C211yesmaximal, characteristic, complemented
17#13118555C211yesmaximal, characteristic, complemented
18#13118482C211yesmaximal, characteristic, complemented
19#13118397C211yesmaximal, characteristic, complemented
20#13118301C211yesmaximal, characteristic, complemented
21#13118299C211yesmaximal, characteristic, complemented
22#13118282C211yesmaximal, characteristic, complemented
23#13118187C211yesmaximal, characteristic
24#13117498C211yesmaximal, characteristic, complemented
25#13117498C211yesmaximal, characteristic, complemented
26#13117430C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28#13117370C211yesmaximal, characteristic, complemented
29D13×#390C211yesmaximal, characteristic, complemented
30C4×#88147C211yesmaximal, characteristic, complemented
31C13×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C2×#88152C2211yescharacteristic, complemented
34C2×#88150C2211yescharacteristic
35C2×#88150C2211yescharacteristic, complemented
36C2×#88148C2211yescharacteristic, complemented
37C2×#88147C2211yescharacteristic
38C2×#88147C2211yescharacteristic
39C2×C4⋊C4×D13C2211yescharacteristic
40C2×#88143C2211yescharacteristic, complemented
41C2×#88141C2211yescharacteristic, complemented
42C2×#88139C2211yescharacteristic
43C2×#88139C2211yescharacteristic
44C2×#88138C2211yescharacteristic
45C2×#88138C2211yescharacteristic
46C2×#88137C2211yescharacteristic, complemented
47C2×#88136C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×#88133C2211yescharacteristic, complemented
54C2×C4×D52C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic, complemented
57C13×#399C2211yescharacteristic, complemented
58C13×#398C2211yescharacteristic, complemented
59C13×#398C2211yescharacteristic, complemented
60C13×#397C2211yescharacteristic, complemented
61C13×#397C2211yescharacteristic, complemented
62C13×#396C2211yescharacteristic, complemented
63C13×#394C2211yescharacteristic
64C13×#394C2211yescharacteristic
65C13×#390C2211yescharacteristic
66C13×#388C2211yescharacteristic, complemented
67C13×#388C2211yescharacteristic, complemented
68C13×#388C2211yescharacteristic, complemented
69C13×#388C2211yescharacteristic, complemented
70C13×#387C2211yescharacteristic, complemented
71C4×C13×C4⋊C4C2211yescharacteristic, complemented
72#11718884C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718653C2211yescharacteristic, complemented
80#11718652C2211yescharacteristic
81#11718652C2211yescharacteristic
82#11718652C2211yescharacteristic, complemented
83#11718651C2211yescharacteristic, complemented
84#11718651C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718649C2211yescharacteristic
91#11718649C2211yescharacteristic, complemented
92#11718649C2211yescharacteristic, complemented
93#11718648C2211yescharacteristic
94#11718648C2211yescharacteristic
95#11718647C2211yescharacteristic, complemented
96#11718645C2211yescharacteristic, complemented
97C4⋊C4×Dic13C2211yescharacteristic, complemented
98C4⋊C4×Dic13C2211yescharacteristic, complemented
99C4⋊C4×Dic13C2211yescharacteristic, complemented
100#11718633C2211yescharacteristic, complemented
101#11718633C2211yescharacteristic, complemented
102#11718622C2211yescharacteristic, complemented
103#11718620C2211yescharacteristic, complemented
104#11718618C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718618C2211yescharacteristic
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic, complemented
113#11718618C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic, complemented
115#11718617C2211yescharacteristic, complemented
116#11718617C2211yescharacteristic, complemented
117#11718616C2211yescharacteristic
118#11718616C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718614C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718612C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718612C2211yescharacteristic, complemented
128#11718612C2211yescharacteristic, complemented
129#11718606C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718601C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718600C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146C42×Dic13C2211yescharacteristic, complemented
147#11718337C2211yescharacteristic, complemented
148#11718336C2211yescharacteristic, complemented
149#11718336C2211yescharacteristic, complemented
150#11718333C2211yescharacteristic
151#11718333C2211yescharacteristic, complemented
152#11718332C2211yescharacteristic
153#11718331C2211yescharacteristic, complemented
154#11718331C2211yescharacteristic, complemented
155#11718331C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic
163#11718328C2211yescharacteristic
164#11718328C2211yescharacteristic
165#11718328C2211yescharacteristic
166#11718328C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic
169#11718327C2211yescharacteristic
170#11718327C2211yescharacteristic
171#11718327C2211yescharacteristic, complemented
172#11718327C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic, complemented
176#11718326C2211yescharacteristic, complemented
177#11718326C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C2×D4×D13—24no—
195C2×D4×D13—42no—
196C2×D4×D13—42no—
197C22×D52C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×Dic26C2311yescharacteristic
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C22⋊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×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
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×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313#88152—42no—
314#88150—24no—
315#88150—42no—
316#88148—42no—
317#88147—24no—
318#88147—24no—
319C4⋊C4×D13—42no—
320#88143—42no—
321#88141—42no—
322#88139—42no—
323#88139—42no—
324#88138—42no—
325#88138—42no—
326#88137—42no—
327#88136—24no—
328#88136—24no—
329C22⋊C4×D13—24no—
330C22⋊C4×D13—24no—
331C22⋊C4×D13—42no—
332C22⋊C4×D13—42no—
333#88133—42no—
334C4×D52—24no—
335C42×D13—42no—
336C42×D13—42no—
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#35025—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C2×C22⋊D13—22no—
407C2×C22⋊D13—22no—
408C2×C22⋊D13—22no—
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430D4×D13—416no—
431C2×D52—22no—
432C2×D52—22no—
433C2×D52—22no—
434C2×D52—22no—
435C2×D52—22no—
436C2×D52—41no—
437C2×D52—41no—
438C2×D52—41no—
439C2×D52—41no—
440C2×D52—41no—
441C2×D52—41no—
442C2×D52#4114yes—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—41no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13#4114yes—
466C2×C4×D13#4114yes—
467C2×Dic26—22no—
468C2×Dic26—22no—
469C2×Dic26—22no—
470C13×C4⋊C4—22no—
471C13×C4⋊C4—22no—
472C13×C4⋊C4—22no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4—41no—
475C13×C4⋊C4—41no—
476C13×C4⋊C4—41no—
477C13×C4⋊C4—41no—
478C13×C4⋊C4—41no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C13×C22⋊C4—41no—
491C42×C13—22no—
492C42×C13—41no—
493C42×C13—41no—
494C22⋊Dic13—22no—
495C22⋊Dic13—22no—
496C22⋊Dic13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—41no—
499C22⋊Dic13—41no—
500C22⋊Dic13—41no—
501C22⋊Dic13—41no—
502C22⋊Dic13—41no—
503C22⋊Dic13—41no—
504#6103—22no—
505#6103—22no—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540C4⋊Dic13—22no—
541C4⋊Dic13—22no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545#6101—22no—
546#6101—22no—
547#6101—22no—
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—
559C4×Dic13—22no—
560C4×Dic13—22no—
561C4×Dic13—22no—
562C4×Dic13—22no—
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—
573#2861—131no—
574#2860—131no—
575#2854—131no—
576#2850—131no—
577#2651—131no—
578#2651D1311yescharacteristic, complemented
579#2648—131no—
580#2648—131no—
581#2593—131no—
582#2593—131no—
583#2554—131no—
584#2554—131no—
585#2513—131no—
586#2490—131no—
587#2480—131no—
588#2480—131no—
589#2448—131no—
590#2442—131no—
591#2435—131no—
592#2426—131no—
593#2418—131no—
594#2418—131no—
595#2417—131no—
596#2408—131no—
597#2321—131no—
598#2321—131no—
599#2312—131no—
600#2312—131no—
601C4×C22⋊Q8—131no—
602C2×#390—131no—
603C42×D4—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×C13C2511yescharacteristic
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
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—44no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—82no—
650C22×D13—82no—
651C22×D13—82no—
652C22×D13—82no—
653C22×D13—82no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13—82no—
657C22×D13C2×#4112yes—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660C22×D13C2×#4112yes—
661D4×C13—44no—
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—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13C2×#4112yes—
699C2×C4×C13C2×#4112yes—
700C2×C4×C13C2×#4112yes—
701C22⋊D13—44no—
702C22⋊D13—44no—
703C22⋊D13—82no—
704C22⋊D13—82no—
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×Dic13C2×#4112yes—
737C2×Dic13C2×#4112yes—
738C2×Dic13H(5,𝔽2)12yes—
739C2×Dic13H(5,𝔽2)12yes—
740C2×Dic13H(5,𝔽2)12yes—
741D52—28no—
742D52—44no—
743D52—82no—
744D52—82no—
745C4×D13—28no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—82no—
752C4×D13—82no—
753Dic26—44no—
754C23×D4—131no—
755C2×#126—131no—
756C2×#126—131no—
757C2×#125—131no—
758C2×#124—131no—
759C2×#124—131no—
760C2×#123—131no—
761C2×#123—131no—
762C2×C22⋊Q8—131no—
763C2×C22⋊Q8—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#120—131no—
767C2×#120—131no—
768C2×C4×Q8—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C22×C4⋊C4—131no—
773C22×C22⋊C4—131no—
774C22×C22⋊C4—131no—
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42—131no—
779#400—131no—
780#400—131no—
781#399—131no—
782#399C2×D1311yescharacteristic, complemented
783#398—131no—
784#398—131no—
785#398C2×D1311yescharacteristic, complemented
786#398C2×D1311yescharacteristic, complemented
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#397—131no—
792#397—131no—
793#397C2×D1311yescharacteristic, complemented
794#397C2×D1311yescharacteristic, complemented
795#396—131no—
796#396—131no—
797#396—131no—
798#396C2×D1311yescharacteristic, complemented
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#394C2×D1311yescharacteristic
808#394C2×D1311yescharacteristic
809#392—131no—
810#392—131no—
811#391—131no—
812#391—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390—131no—
823#390—131no—
824#390—131no—
825#390—131no—
826#390—131no—
827#390—131no—
828#390C2×D1311yescharacteristic
829#389—131no—
830#389—131no—
831#389—131no—
832#389—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#388—131no—
846#388—131no—
847#388—131no—
848#388—131no—
849#388—131no—
850#388—131no—
851#388—131no—
852#388—131no—
853#388—131no—
854#388—131no—
855#388—131no—
856#388—131no—
857#388—131no—
858#388—131no—
859#388—131no—
860#388—131no—
861#388—131no—
862#388—131no—
863#388C2×D1311yescharacteristic, complemented
864#388C2×D1311yescharacteristic, complemented
865#388C2×D1311yescharacteristic, complemented
866#388C2×D1311yescharacteristic, complemented
867#387—131no—
868#387C2×D1311yescharacteristic, complemented
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#382—131no—
882#380—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380—131no—
887#380—131no—
888#379—131no—
889#379—131no—
890#379—131no—
891#379—131no—
892#379—131no—
893#379—131no—
894C4×C4⋊C4—131no—
895C4×C4⋊C4—131no—
896C4×C4⋊C4—131no—
897C4×C4⋊C4—131no—
898C4×C4⋊C4—131no—
899C4×C4⋊C4C2×D1311yescharacteristic, complemented
900C4×C22⋊C4—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—
908C43—131no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
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×C13C22×#4111yescharacteristic
924C22×C13C22×#4111yescharacteristic
925C22×C13C22×#4111yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C22×C13C2×H(5,𝔽2)11yescharacteristic
929C22×C13#58511yescharacteristic
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—41no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
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—88no—
958C2×D13—88no—
959C2×D13#52914yes—
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—
971C4×C13—41no—
972C4×C13—41no—
973Dic13—22no—
974Dic13—22no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13#53814yes—
985C25—131no—
986C25—131no—
987C22×Q8—131no—
988C22×D4—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—264no—
997C22×D4—522no—
998C22×D4—522no—
999C22×D4C22×D1311yescharacteristic
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008#126—522no—
1009#126—522no—
1010#125—522no—
1011#124—522no—
1012#124—522no—
1013#123—522no—
1014#123—522no—
1015C22⋊Q8—264no—
1016C22⋊Q8—522no—
1017#121—522no—
1018#121—522no—
1019#120—264no—
1020#120—264no—
1021C4×Q8—522no—
1022C4×D4—264no—
1023C4×D4—264no—
1024C4×D4—264no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4—131no—
1028C2×C4⋊C4—131no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
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—522no—
1045C2×C4⋊C4C22×D1311yescharacteristic
1046C2×C4⋊C4C22×D1311yescharacteristic
1047C2×C4⋊C4C22×D1311yescharacteristic
1048C2×C4⋊C4C22×D1311yescharacteristic
1049C2×C4⋊C4C22×D1311yescharacteristic
1050C2×C4⋊C4C22×D1311yescharacteristic
1051C2×C4⋊C4C22×D1311yescharacteristic
1052C2×C4⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
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—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—264no—
1101C2×C22⋊C4—264no—
1102C2×C22⋊C4—522no—
1103C2×C22⋊C4—522no—
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×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C42—131no—
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—131no—
1129C2×C42—131no—
1130C2×C42—522no—
1131C2×C42—522no—
1132C2×C42C22×D1311yescharacteristic
1133C2×C42C22×D1311yescharacteristic
1134C2×C42C22×D1311yescharacteristic
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#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
1166#95C22×D1311yescharacteristic
1167C2×C13—81no—
1168C2×C13—81no—
1169C2×C13C2×#52911yescharacteristic
1170C2×C13C2×#53811yescharacteristic
1171C2×C13#346011yescharacteristic
1172C2×C13#350511yescharacteristic
1173C2×C13#350811yescharacteristic
1174C2×C13#351411yescharacteristic
1175C2×C13#351911yescharacteristic
1176D13—24no—
1177D13—42no—
1178D13—81no—
1179D13—81no—
1180C24—131no—
1181C24—131no—
1182C24—131no—
1183C24—131no—
1184C24—262no—
1185C24—262no—
1186C24—262no—
1187C24—262no—
1188C24—262no—
1189C24—262no—
1190C24—521no—
1191C24—521no—
1192C24—521no—
1193C24—521no—
1194C24—521no—
1195C24—521no—
1196C24—521no—
1197C24—521no—
1198C24C23×D1311yescharacteristic
1199C24C23×D1311yescharacteristic
1200C2×Q8—262no—
1201C2×Q8—262no—
1202C2×Q8—262no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—134no—
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—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—5216no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—134no—
1235C22×C4—134no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4C23×D1311yescharacteristic
1268C22×C4C23×D1311yescharacteristic
1269C22×C4C23×D1311yescharacteristic
1270C22×C4C23×D1311yescharacteristic
1271C22×C4C23×D1311yescharacteristic
1272C22×C4C23×D1311yescharacteristic
1273C22×C4C23×D1311yescharacteristic
1274C22×C4C23×D1311yescharacteristic
1275C22×C4C23×D1311yescharacteristic
1276C22×C4C23×D1311yescharacteristic
1277C22×C4C23×D1311yescharacteristic
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—262no—
1290C4⋊C4—262no—
1291C4⋊C4—262no—
1292C4⋊C4—262no—
1293C4⋊C4—262no—
1294C4⋊C4—262no—
1295C4⋊C4—262no—
1296C4⋊C4—262no—
1297C4⋊C4—262no—
1298C4⋊C4—521no—
1299C4⋊C4—521no—
1300C4⋊C4—521no—
1301C4⋊C4—521no—
1302C4⋊C4—521no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—262no—
1321C22⋊C4—262no—
1322C22⋊C4—262no—
1323C22⋊C4—262no—
1324C22⋊C4—262no—
1325C22⋊C4—262no—
1326C22⋊C4—262no—
1327C22⋊C4—262no—
1328C22⋊C4—262no—
1329C22⋊C4—262no—
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—521no—
1343C22⋊C4—521no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
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—
1366C42—22no—
1367C42—41no—
1368C42—41no—
1369C42—262no—
1370C42—262no—
1371C42—262no—
1372C42—262no—
1373C42—262no—
1374C42—262no—
1375C42—262no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C13#3502511yescharacteristic, complemented, Sylow
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—132no—
1399C23—132no—
1400C23—132no—
1401C23—132no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
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—261no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—1042no—
1433C23—1042no—
1434C23—1042no—
1435C23—1042no—
1436C23—1042no—
1437C23—1042no—
1438C23—1042no—
1439C23—1042no—
1440C23C24×D1311yescharacteristic
1441Q8—524no—
1442D4—44no—
1443D4—268no—
1444D4—524no—
1445D4—524no—
1446D4—524no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
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—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—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—132no—
1492C2×C4—268no—
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—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—1042no—
1530C2×C4—1042no—
1531C2×C4#41×D1312yes—
1532C2×C4#41×D1312yes—
1533C2×C4#41×D1312yes—
1534C22—41no—
1535C22—41no—
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—134no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—521no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—1048no—
1577C22—1048no—
1578C22C2×#41×D1311yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22C2×#41×D1311yescharacteristic
1581C22D13×H(5,𝔽2)11yescharacteristic
1582C22D13×H(5,𝔽2)11yescharacteristic
1583C22D13×H(5,𝔽2)11yescharacteristic
1584C22#1171965211yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—134no—
1599C4—262no—
1600C4—262no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C2—81no—
1611C2—81no—
1612C2—264no—
1613C2—522no—
1614C2—1041no—
1615C2—1041no—
1616C2D13×#52911yescharacteristic
1617C2D13×#53811yescharacteristic
1618C2#1312825611yescharacteristic
1619C2#1312866811yescharacteristic
1620C2#1312870811yescharacteristic
1621C2#1312879511yescharacteristic
1622C2#1312886611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2651C2
prime radical#13118187C2
hypercenter#2651D13
hypocenterC13#35025
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #13123205C2semidirect
2. #13123202C2semidirect
3. #13123163C2semidirect
4. #13123134C2semidirect
5. #13120863C2semidirect
6. #13120830C2semidirect
7. #13120828C2semidirect
8. #13120328C2semidirect
9. #13120326C2semidirect
10. #13119899C2semidirect
11. #13119891C2semidirect
12. #13119428C2semidirect
13. #13119183C2semidirect
14. #13119085C2semidirect
15. #13119077C2semidirect
16. #13118629C2semidirect
17. #13118555C2semidirect
18. #13118482C2semidirect
19. #13118397C2semidirect
20. #13118301C2semidirect
21. #13118299C2semidirect
22. #13118282C2semidirect
24. #13117498C2semidirect
25. #13117498C2semidirect
26. #13117430C2semidirect
27. #13117430C2semidirect
28. #13117370C2semidirect
29. D13×#390C2semidirect
30. C4×#88147C2semidirect
31. C13×#2651C2semidirect
33. C2×#88152C22semidirect
35. C2×#88150C22semidirect
36. C2×#88148C22semidirect
40. C2×#88143C22semidirect
41. C2×#88141C22semidirect
46. C2×#88137C22semidirect
53. C2×#88133C22semidirect
56. C2×C42×D13C22semidirect
57. C13×#399C22semidirect
58. C13×#398C22semidirect
59. C13×#398C22semidirect
60. C13×#397C22semidirect
61. C13×#397C22semidirect
62. C13×#396C22semidirect
66. C13×#388C22semidirect
67. C13×#388C22semidirect
68. C13×#388C22semidirect
69. C13×#388C22semidirect
70. C13×#387C22semidirect
71. C4×C13×C4⋊C4C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
77. #11718654C22semidirect
78. #11718654C22semidirect
79. #11718653C22semidirect
82. #11718652C22semidirect
83. #11718651C22semidirect
84. #11718651C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
91. #11718649C22semidirect
92. #11718649C22semidirect
95. #11718647C22semidirect
96. #11718645C22semidirect
97. C4⋊C4×Dic13C22semidirect
98. C4⋊C4×Dic13C22semidirect
99. C4⋊C4×Dic13C22semidirect
100. #11718633C22semidirect
101. #11718633C22semidirect
102. #11718622C22semidirect
103. #11718620C22semidirect
112. #11718618C22semidirect
113. #11718618C22semidirect
114. #11718617C22semidirect
115. #11718617C22semidirect
116. #11718617C22semidirect
123. #11718614C22semidirect
124. #11718613C22semidirect
125. #11718612C22semidirect
126. #11718612C22semidirect
127. #11718612C22semidirect
128. #11718612C22semidirect
129. #11718606C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
138. #11718601C22semidirect
139. #11718601C22semidirect
140. #11718601C22semidirect
141. #11718601C22semidirect
144. C4×#6103C22semidirect
145. #11718594C22semidirect
146. C42×Dic13C22semidirect
147. #11718337C22semidirect
148. #11718336C22semidirect
149. #11718336C22semidirect
151. #11718333C22semidirect
153. #11718331C22semidirect
154. #11718331C22semidirect
155. #11718331C22semidirect
156. #11718331C22semidirect
157. #11718331C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718330C22semidirect
161. #11718330C22semidirect
166. #11718328C22semidirect
171. #11718327C22semidirect
172. #11718327C22semidirect
175. #11718326C22semidirect
176. #11718326C22semidirect
177. #11718326C22semidirect
178. #11718321C22semidirect
179. #11718318C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
578. #2651D13semidirect
782. #399C2×D13semidirect
785. #398C2×D13semidirect
786. #398C2×D13semidirect
793. #397C2×D13semidirect
794. #397C2×D13semidirect
798. #396C2×D13semidirect
863. #388C2×D13semidirect
864. #388C2×D13semidirect
865. #388C2×D13semidirect
866. #388C2×D13semidirect
868. #387C2×D13semidirect
899. C4×C4⋊C4C2×D13semidirect
1383. C13#35025semidirect

Maximal subgroups

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

subgroupindex
#131232052
#131232022
#131231632
#131231342
#131208632
#131208302
#131208282
#131203282
#131203262
#131198992
#131198912
#131194282
#131191832
#131190852
#131190772
#131186292
#131185552
#131184822
#131183972
#131183012
#131182992
#131182822
#131181872
#131174982
#131174302
#131173702
D13×#3902
C4×#881472
C13×#26512
#3502513