Finite Group Databasebeta

← #16036836

Subgroups — #16036836

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123148C211yesmaximal, characteristic, complemented
2#13123134C211yesmaximal, characteristic, complemented
3#13123131C211yesmaximal, characteristic, complemented
4#13123115C211yesmaximal, characteristic, complemented
5#13121013C211yesmaximal, characteristic, complemented
6#13120971C211yesmaximal, characteristic, complemented
7#13120894C211yesmaximal, characteristic, complemented
8#13120817C211yesmaximal, characteristic, complemented
9#13120170C211yesmaximal, characteristic, complemented
10#13120134C211yesmaximal, characteristic, complemented
11#13120116C211yesmaximal, characteristic, complemented
12#13120083C211yesmaximal, characteristic, complemented
13#13119937C211yesmaximal, characteristic, complemented
14#13119909C211yesmaximal, characteristic, complemented
15#13119894C211yesmaximal, characteristic, complemented
16#13119397C211yesmaximal, characteristic, complemented
17#13118957C211yesmaximal, characteristic, complemented
18#13118579C211yesmaximal, characteristic, complemented
19#13118519C211yesmaximal, characteristic, complemented
20#13118443C211yesmaximal, characteristic, complemented
21#13118373C211yesmaximal, characteristic, complemented
22#13118218C211yesmaximal, characteristic, complemented
23#13118153C211yesmaximal, characteristic, complemented
24#13117645C211yesmaximal, characteristic, complemented
25#13117629C211yesmaximal, characteristic, complemented
26#13117597C211yesmaximal, characteristic, complemented
27#13117595C211yesmaximal, characteristic, complemented
28#13117363C211yesmaximal, characteristic, complemented
29#13117322C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2559C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic, complemented
35C2×C13×#121C2211yescharacteristic
36C2×#88193C2211yescharacteristic
37C2×#88192C2211yescharacteristic
38C2×#88192C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88190C2211yescharacteristic
42C2×#88150C2211yescharacteristic
43C2×#88148C2211yescharacteristic
44C2×#88148C2211yescharacteristic
45C2×#88139C2211yescharacteristic, complemented
46C2×#88138C2211yescharacteristic
47C2×#88137C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×#88126C2211yescharacteristic
53C2×C42×D13C2211yescharacteristic
54C2×C42×D13C2211yescharacteristic
55C13×#400C2211yescharacteristic, complemented
56C13×#394C2211yescharacteristic
57C13×#394C2211yescharacteristic
58C13×#394C2211yescharacteristic, complemented
59C13×#390C2211yescharacteristic
60C13×#389C2211yescharacteristic, complemented
61C13×#388C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic, complemented
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic, complemented
65C13×#385C2211yescharacteristic
66C4×C13×C22⋊C4C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic, complemented
68#11718884C2211yescharacteristic
69#11718884C2211yescharacteristic, complemented
70#11718883C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic, complemented
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718873C2211yescharacteristic
77#11718871C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic
79C4×C22⋊Dic13C2211yescharacteristic, complemented
80#11718655C2211yescharacteristic
81#11718651C2211yescharacteristic
82#11718651C2211yescharacteristic, complemented
83#11718651C2211yescharacteristic, complemented
84#11718651C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718649C2211yescharacteristic
90#11718648C2211yescharacteristic
91#11718648C2211yescharacteristic
92#11718644C2211yescharacteristic, complemented
93#11718643C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718641C2211yescharacteristic, complemented
96#11718640C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101#11718622C2211yescharacteristic, complemented
102#11718621C2211yescharacteristic
103#11718621C2211yescharacteristic
104#11718620C2211yescharacteristic
105#11718620C2211yescharacteristic
106#11718620C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic, complemented
112#11718618C2211yescharacteristic, complemented
113#11718618C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic, complemented
124#11718616C2211yescharacteristic
125#11718613C2211yescharacteristic
126#11718613C2211yescharacteristic, complemented
127#11718613C2211yescharacteristic, complemented
128#11718609C2211yescharacteristic
129#11718608C2211yescharacteristic
130#11718608C2211yescharacteristic, complemented
131#11718607C2211yescharacteristic
132#11718606C2211yescharacteristic
133#11718606C2211yescharacteristic, complemented
134#11718606C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic, complemented
138#11718605C2211yescharacteristic, complemented
139#11718605C2211yescharacteristic, complemented
140#11718605C2211yescharacteristic, complemented
141#11718604C2211yescharacteristic, complemented
142C22⋊C4×Dic13C2211yescharacteristic
143C22⋊C4×Dic13C2211yescharacteristic
144C22⋊C4×Dic13C2211yescharacteristic, complemented
145C22⋊C4×Dic13C2211yescharacteristic, complemented
146#11718601C2211yescharacteristic
147#11718601C2211yescharacteristic, complemented
148C4×#6103C2211yescharacteristic
149C4×#6103C2211yescharacteristic
150C4×#6103C2211yescharacteristic, complemented
151C4×#6103C2211yescharacteristic, complemented
152#11718598C2211yescharacteristic, complemented
153#11718594C2211yescharacteristic, complemented
154#11718594C2211yescharacteristic, complemented
155#11718337C2211yescharacteristic
156#11718336C2211yescharacteristic, complemented
157#11718335C2211yescharacteristic, complemented
158#11718334C2211yescharacteristic
159#11718334C2211yescharacteristic
160#11718329C2211yescharacteristic, complemented
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718325C2211yescharacteristic
170#11718325C2211yescharacteristic
171#11718325C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174C13⋊#401C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718317C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718312C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718307C2211yescharacteristic, complemented
184#11718307C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C2×#6127—24no—
203C2×#6127—42no—
204C2×#6127—42no—
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—42no—
209C22×C4×D13—42no—
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#126—42no—
222C13×#121—42no—
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
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
259#88193—24no—
260#88192—24no—
261#88192—42no—
262#88191—42no—
263#88191—42no—
264#88190—24no—
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
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
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
312#88150—42no—
313#88148—24no—
314#88148—42no—
315#88139—42no—
316#88138—42no—
317#88137—24no—
318#88136—42no—
319#88135—42no—
320C22⋊C4×D13—24no—
321C22⋊C4×D13—24no—
322#88126—42no—
323C42×D13—42no—
324C42×D13—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#35053—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×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
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
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
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—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
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—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
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
450#6127—416no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—41no—
456C2×D52—41no—
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—22no—
472C2×C4×D13—416no—
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—41no—
483C2×C4×D13#4114yes—
484C2×C4×D13#4114yescomplemented
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C42×C13—22no—
511C42×C13—41no—
512C42×C13—41no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
519C22⋊Dic13—22no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13#4114yescomplemented
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550C4⋊Dic13—22no—
551C4⋊Dic13—22no—
552C4⋊Dic13—41no—
553#6101—22no—
554#6101—22no—
555#6101—22no—
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—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559D1311yescharacteristic, complemented
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
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—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×C13—21no—
625C23×C13C2×#4112yes—
626C23×C13C2511yescharacteristic
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—28no—
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—21no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13C2×#4112yes—
652C22×D13C2×#4112yes—
653C22×D13H(5,𝔽2)12yes—
654C22×D13H(5,𝔽2)12yes—
655D4×C13—82no—
656D4×C13—82no—
657D4×C13—82no—
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—21no—
690C2×C4×C13—21no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13H(5,𝔽2)12yes—
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—44no—
739C2×Dic13—82no—
740C2×Dic13C2×#4112yes—
741C2×Dic13C2×#4112yes—
742C2×Dic13C2×#4112yes—
743C2×Dic13C2×#4112yes—
744D52—44no—
745D52—82no—
746C4×D13—28no—
747C4×D13—28no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755Dic26—44no—
756Dic26—82no—
757C22×#41—131no—
758C24×C4—131no—
759C2×#126C2×D1311yescharacteristic, complemented
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123—131no—
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121C2×D1311yescharacteristic
771C2×#120—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×#117—131no—
776C22×C22⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C42—131no—
779C22×C42—131no—
780#401—131no—
781#400—131no—
782#400—131no—
783#400C2×D1311yescharacteristic, complemented
784#398—131no—
785#398—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396—131no—
793#396—131no—
794#395—131no—
795#395—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394C2×D1311yescharacteristic
802#394C2×D1311yescharacteristic
803#394C2×D1311yescharacteristic, complemented
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391—131no—
815#391—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390C2×D1311yescharacteristic
823#389C2×D1311yescharacteristic, complemented
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#388C2×D1311yescharacteristic, complemented
840#388C2×D1311yescharacteristic, complemented
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#386—131no—
851#386—131no—
852#386—131no—
853#386—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#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
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#385C2×D1311yescharacteristic
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381—131no—
889#380—131no—
890#380—131no—
891#380—131no—
892#379—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊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⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4C2×D1311yescharacteristic
909C4×C22⋊C4C2×D1311yescharacteristic, complemented
910C2×#95—131no—
911C2×#95—131no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
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×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13C22×#4111yescharacteristic
934C22×C13C22×#4111yescharacteristic
935C22×C13C22×#4111yescharacteristic
936C22×C13C2×H(5,𝔽2)11yescharacteristic
937C22×C13C2×H(5,𝔽2)11yescharacteristic
938C22×C13C2×H(5,𝔽2)11yescharacteristic
939C22×C13#58511yescharacteristic
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—416no—
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—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13#53814yes—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25—131no—
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4C22×D1311yescharacteristic
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—264no—
1017C23×C4—522no—
1018C23×C4—522no—
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—42no—
1022#124—264no—
1023#124—522no—
1024#123—264no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—42no—
1029#121—264no—
1030#121—264no—
1031#121—522no—
1032#121—522no—
1033#120—522no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—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⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
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—264no—
1096C2×C22⋊C4—264no—
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
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
1125#95—131no—
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#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—42no—
1170C2×C13—81no—
1171C2×C13—81no—
1172C2×C13#344411yescharacteristic
1173C2×C13C2×#53811yescharacteristic
1174C2×C13#346011yescharacteristic
1175C2×C13#349011yescharacteristic
1176C2×C13#349411yescharacteristic
1177C2×C13#351311yescharacteristic
1178C2×C13#351911yescharacteristic
1179D13—24no—
1180D13—42no—
1181D13—81no—
1182C24—131no—
1183C24—131no—
1184C24—131no—
1185C24—262no—
1186C24—262no—
1187C24—262no—
1188C24—262no—
1189C24—262no—
1190C24—521no—
1191C24—521no—
1192C24C23×D1311yescharacteristic
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—262no—
1197C2×Q8—262no—
1198C2×Q8—521no—
1199C2×Q8—521no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
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—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
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—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—134no—
1249C22×C4—134no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—131no—
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—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—5216no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—134no—
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—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
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—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—262no—
1377C42—262no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
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—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—132no—
1408C23—132no—
1409C23—132no—
1410C23—132no—
1411C23—268no—
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—261no—
1427C23—261no—
1428C23—261no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23—524no—
1434C23—524no—
1435C23#41×D1312yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—524no—
1443D4—524no—
1444D4—524no—
1445D4—524no—
1446D4—1042no—
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—44no—
1485C2×C4—44no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—268no—
1491C2×C4—268no—
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—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4—1042no—
1536C2×C4#8825112yes—
1537C2×C4#41×D1312yes—
1538C2×C4#41×D1312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
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—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—134no—
1561C22—262no—
1562C22—262no—
1563C22—262no—
1564C22—262no—
1565C22—262no—
1566C22—262no—
1567C22—262no—
1568C22—262no—
1569C22—262no—
1570C22—5216no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22—521no—
1582C22C2×#8825111yescharacteristic
1583C22C2×#41×D1311yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22C2×#41×D1311yescharacteristic
1586C22#1171964811yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22D13×H(5,𝔽2)11yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—262no—
1602C4—262no—
1603C4—262no—
1604C4—262no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—264no—
1618C2—522no—
1619C2—1041no—
1620C2#1312813011yescharacteristic
1621C2D13×#53811yescharacteristic
1622C2#1312825011yescharacteristic
1623C2#1312851811yescharacteristic
1624C2#1312856411yescharacteristic
1625C2#1312876711yescharacteristic
1626C2#1312886511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2559C2
hypercenter#2559D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. #13123148C2semidirect
2. #13123134C2semidirect
3. #13123131C2semidirect
4. #13123115C2semidirect
5. #13121013C2semidirect
6. #13120971C2semidirect
7. #13120894C2semidirect
8. #13120817C2semidirect
9. #13120170C2semidirect
10. #13120134C2semidirect
11. #13120116C2semidirect
12. #13120083C2semidirect
13. #13119937C2semidirect
14. #13119909C2semidirect
15. #13119894C2semidirect
16. #13119397C2semidirect
17. #13118957C2semidirect
18. #13118579C2semidirect
19. #13118519C2semidirect
20. #13118443C2semidirect
21. #13118373C2semidirect
22. #13118218C2semidirect
23. #13118153C2semidirect
24. #13117645C2semidirect
25. #13117629C2semidirect
26. #13117597C2semidirect
27. #13117595C2semidirect
28. #13117363C2semidirect
29. #13117322C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2559C2semidirect
34. C2×C13×#126C22semidirect
45. C2×#88139C22semidirect
55. C13×#400C22semidirect
58. C13×#394C22semidirect
60. C13×#389C22semidirect
61. C13×#388C22semidirect
62. C13×#388C22semidirect
64. C13×#386C22semidirect
67. C4×C13×C22⋊C4C22semidirect
69. #11718884C22semidirect
73. #11718881C22semidirect
77. #11718871C22semidirect
79. C4×C22⋊Dic13C22semidirect
82. #11718651C22semidirect
83. #11718651C22semidirect
84. #11718651C22semidirect
92. #11718644C22semidirect
93. #11718643C22semidirect
94. #11718642C22semidirect
95. #11718641C22semidirect
96. #11718640C22semidirect
97. #11718639C22semidirect
98. #11718639C22semidirect
99. #11718639C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. #11718622C22semidirect
111. #11718618C22semidirect
112. #11718618C22semidirect
113. #11718618C22semidirect
123. #11718617C22semidirect
126. #11718613C22semidirect
127. #11718613C22semidirect
130. #11718608C22semidirect
133. #11718606C22semidirect
134. #11718606C22semidirect
137. #11718605C22semidirect
138. #11718605C22semidirect
139. #11718605C22semidirect
140. #11718605C22semidirect
141. #11718604C22semidirect
144. C22⋊C4×Dic13C22semidirect
145. C22⋊C4×Dic13C22semidirect
147. #11718601C22semidirect
150. C4×#6103C22semidirect
151. C4×#6103C22semidirect
152. #11718598C22semidirect
153. #11718594C22semidirect
154. #11718594C22semidirect
156. #11718336C22semidirect
157. #11718335C22semidirect
160. #11718329C22semidirect
174. C13⋊#401C22semidirect
175. #11718321C22semidirect
176. #11718317C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718312C22semidirect
181. #11718311C22semidirect
182. #11718310C22semidirect
183. #11718307C22semidirect
184. #11718307C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
484. C2×C4×D13#41semidirect
526. C22⋊Dic13#41semidirect
586. #2559D13semidirect
759. C2×#126C2×D13semidirect
783. #400C2×D13semidirect
803. #394C2×D13semidirect
823. #389C2×D13semidirect
839. #388C2×D13semidirect
840. #388C2×D13semidirect
873. #386C2×D13semidirect
909. C4×C22⋊C4C2×D13semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231482
#131231342
#131231312
#131231152
#131210132
#131209712
#131208942
#131208172
#131201702
#131201342
#131201162
#131200832
#131199372
#131199092
#131198942
#131193972
#131189572
#131185792
#131185192
#131184432
#131183732
#131182182
#131181532
#131176452
#131176292
#131175972
#131175952
#131173632
#131173222
C4×C22⋊C4×D132
C13×#25592
#3505313