Finite Group Databasebeta

← D13×#2827 #16069105

Subgroups — D13×#2827 #16069105

Order 3328.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13122951C211yesmaximal, characteristic, complemented
2#13122950C211yesmaximal, characteristic, complemented
3#13122949C211yesmaximal, characteristic, complemented
4#13122948C211yesmaximal, characteristic, complemented
5#13122947C211yesmaximal, characteristic, complemented
6#13122946C211yesmaximal, characteristic, complemented
7#13122945C211yesmaximal, characteristic, complemented
8#13122944C211yesmaximal, characteristic, complemented
9#13122943C211yesmaximal, characteristic, complemented
10#13122942C211yesmaximal, characteristic, complemented
11#13122941C211yesmaximal, characteristic, complemented
12#13122940C211yesmaximal, characteristic, complemented
13#13122939C211yesmaximal, characteristic, complemented
14#13122938C211yesmaximal, characteristic, complemented
15#13122937C211yesmaximal, characteristic, complemented
16D13×#400C211yesmaximal, characteristic, complemented
17D13×#400C211yesmaximal, characteristic, complemented
18D13×#399C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#398C211yesmaximal, characteristic, complemented
21D13×#397C211yesmaximal, characteristic, complemented
22D13×#397C211yesmaximal, characteristic, complemented
23D13×#397C211yesmaximal, characteristic, complemented
24D13×#396C211yesmaximal, characteristic, complemented
25D13×#396C211yesmaximal, characteristic, complemented
26D13×#394C211yesmaximal, characteristic
27D13×#394C211yesmaximal, characteristic
28D13×#386C211yesmaximal, characteristic
29D13×#385C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2827C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C4⋊C4×D13C2211yescharacteristic
35C2×C4⋊C4×D13C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×C4⋊C4×D13C2211yescharacteristic
39C2×C4⋊C4×D13C2211yescharacteristic
40C2×C4⋊C4×D13C2211yescharacteristic
41C2×C4⋊C4×D13C2211yescharacteristic
42C2×C4⋊C4×D13C2211yescharacteristic
43C2×C4⋊C4×D13C2211yescharacteristic
44C2×C22⋊C4×D13C2211yescharacteristic
45C2×C22⋊C4×D13C2211yescharacteristic
46C2×C22⋊C4×D13C2211yescharacteristic
47C2×C22⋊C4×D13C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C13×#400C2211yescharacteristic, complemented
56C13×#400C2211yescharacteristic, complemented
57C13×#399C2211yescharacteristic, complemented
58C13×#398C2211yescharacteristic, complemented
59C13×#398C2211yescharacteristic, complemented
60C13×#397C2211yescharacteristic, complemented
61C13×#397C2211yescharacteristic, complemented
62C13×#397C2211yescharacteristic, complemented
63C13×#396C2211yescharacteristic, complemented
64C13×#396C2211yescharacteristic, complemented
65C13×#394C2211yescharacteristic
66C13×#394C2211yescharacteristic
67C13×#386C2211yescharacteristic
68C13×#385C2211yescharacteristic, complemented
69C13×#385C2211yescharacteristic, complemented
70#11718883C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718874C2211yescharacteristic
74#11718871C2211yescharacteristic, complemented
75#11718871C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718655C2211yescharacteristic, complemented
78#11718655C2211yescharacteristic, complemented
79#11718655C2211yescharacteristic, complemented
80#11718655C2211yescharacteristic, complemented
81#11718655C2211yescharacteristic, complemented
82#11718654C2211yescharacteristic, complemented
83#11718654C2211yescharacteristic, complemented
84#11718654C2211yescharacteristic, complemented
85#11718653C2211yescharacteristic, complemented
86#11718653C2211yescharacteristic, complemented
87#11718653C2211yescharacteristic, complemented
88#11718652C2211yescharacteristic
89#11718652C2211yescharacteristic
90#11718650C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718650C2211yescharacteristic, complemented
94#11718647C2211yescharacteristic, complemented
95#11718647C2211yescharacteristic, complemented
96#11718645C2211yescharacteristic, complemented
97#11718645C2211yescharacteristic, complemented
98#11718645C2211yescharacteristic, complemented
99#11718645C2211yescharacteristic, complemented
100#11718644C2211yescharacteristic, complemented
101#11718644C2211yescharacteristic, complemented
102#11718643C2211yescharacteristic, complemented
103#11718643C2211yescharacteristic, complemented
104#11718641C2211yescharacteristic, complemented
105#11718641C2211yescharacteristic, complemented
106#11718622C2211yescharacteristic
107#11718622C2211yescharacteristic
108#11718622C2211yescharacteristic
109#11718622C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718614C2211yescharacteristic, complemented
118#11718614C2211yescharacteristic, complemented
119#11718614C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718613C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718613C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic, complemented
127#11718611C2211yescharacteristic, complemented
128#11718610C2211yescharacteristic, complemented
129#11718610C2211yescharacteristic, complemented
130#11718610C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic, complemented
132#11718609C2211yescharacteristic, complemented
133#11718609C2211yescharacteristic, complemented
134#11718609C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718607C2211yescharacteristic, complemented
138#11718607C2211yescharacteristic, complemented
139#11718338C2211yescharacteristic, complemented
140#11718337C2211yescharacteristic, complemented
141#11718337C2211yescharacteristic, complemented
142#11718336C2211yescharacteristic, complemented
143#11718336C2211yescharacteristic, complemented
144#11718336C2211yescharacteristic, complemented
145#11718336C2211yescharacteristic, complemented
146#11718336C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic, complemented
148#11718335C2211yescharacteristic, complemented
149#11718335C2211yescharacteristic, complemented
150#11718335C2211yescharacteristic, complemented
151#11718333C2211yescharacteristic
152#11718333C2211yescharacteristic
153#11718329C2211yescharacteristic, complemented
154#11718329C2211yescharacteristic, complemented
155#11718329C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718326C2211yescharacteristic
158#11718326C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171#11718322C2211yescharacteristic, complemented
172#11718322C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718320C2211yescharacteristic, complemented
178#11718320C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718318C2211yescharacteristic, complemented
185#11718318C2211yescharacteristic, complemented
186#11718318C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C2×D4×D13—24no—
195C2×D4×D13—42no—
196C2×D4×D13—42no—
197C22×D52C2311yescharacteristic
198C22×C4×D13—42no—
199C22×C4×D13—42no—
200C22×C4×D13—42no—
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×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
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×#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×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
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×#6101C2311yescharacteristic
300C4⋊C4×D13—42no—
301C4⋊C4×D13—42no—
302C4⋊C4×D13—42no—
303C4⋊C4×D13—42no—
304C4⋊C4×D13—42no—
305C4⋊C4×D13—42no—
306C4⋊C4×D13—42no—
307C4⋊C4×D13—42no—
308C4⋊C4×D13—42no—
309C4⋊C4×D13—42no—
310C22⋊C4×D13—24no—
311C22⋊C4×D13—24no—
312C22⋊C4×D13—42no—
313C22⋊C4×D13—42no—
314C22⋊C4×D13—42no—
315C22⋊C4×D13—42no—
316C22⋊C4×D13—42no—
317C22⋊C4×D13—42no—
318C22⋊C4×D13—42no—
319C22⋊C4×D13—42no—
320C22⋊C4×D13—42no—
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
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
369C2×#2827—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—22no—
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—22no—
384C23×D13—22no—
385C23×D13#4114yes—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—22no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
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
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C2×C22⋊D13—22no—
409C2×C22⋊D13—22no—
410C2×C22⋊D13—41no—
411C2×C22⋊D13—41no—
412C2×C22⋊D13—41no—
413C2×C22⋊D13—41no—
414C22×Dic13—41no—
415C22×Dic13—41no—
416C22×Dic13—41no—
417C22×Dic13C2411yescharacteristic
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—41no—
433C2×D52—41no—
434C2×C4×D13—22no—
435C2×C4×D13—22no—
436C2×C4×D13—22no—
437C2×C4×D13—22no—
438C2×C4×D13—22no—
439C2×C4×D13—22no—
440C2×C4×D13—22no—
441C2×C4×D13—22no—
442C2×C4×D13—22no—
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—22no—
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—22no—
472C2×C4×D13—22no—
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—416no—
480C13×C4⋊C4—41no—
481C13×C4⋊C4—41no—
482C13×C4⋊C4—41no—
483C13×C4⋊C4—41no—
484C13×C4⋊C4—41no—
485C13×C4⋊C4—41no—
486C13×C4⋊C4—41no—
487C13×C4⋊C4—41no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
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—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—41no—
504C22⋊Dic13—41no—
505C22⋊Dic13—41no—
506C22⋊Dic13—41no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—41no—
517#6103—41no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103—41no—
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—
534C4⋊Dic13—41no—
535C4⋊Dic13—41no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539C4⋊Dic13—41no—
540C4⋊Dic13—41no—
541C4⋊Dic13—41no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#2827—131no—
565#2827—131no—
566#2827—131no—
567#2827—131no—
568#2827—131no—
569#2827—131no—
570#2827—131no—
571#2827—131no—
572#2827—131no—
573#2827—131no—
574#2827—131no—
575#2827—131no—
576#2827—131no—
577#2827—131no—
578#2827—131no—
579#2827D1311yescharacteristic, direct product factor
580C2×#400—131no—
581C2×#400—131no—
582C2×#399—131no—
583C2×#398—131no—
584C2×#398—131no—
585C2×#397—131no—
586C2×#397—131no—
587C2×#397—131no—
588C2×#396—131no—
589C2×#396—131no—
590C2×#394—131no—
591C2×#394—131no—
592C2×#386—131no—
593C2×#385—131no—
594C2×#385—131no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13C2×#4112yes—
609C23×C13C2511yescharacteristic
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—28no—
617C22×D13—28no—
618C22×D13—28no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—44no—
634C22×D13—44no—
635C22×D13—44no—
636C22×D13—44no—
637C22×D13C2×#4112yes—
638C22×D13C2×#4112yes—
639C22×D13H(5,𝔽2)12yes—
640C22×D13H(5,𝔽2)12yes—
641C22×D13H(5,𝔽2)12yes—
642C22×D13H(5,𝔽2)12yes—
643C22×D132−1+412yes—
644C22×D132−1+412yes—
645D4×C13—44no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
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—44no—
686C22⋊D13—44no—
687C22⋊D13—44no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
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—44no—
728D52—44no—
729C4×D13—44no—
730C4×D13—44no—
731C4×D13—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736C4×D13—44no—
737C4×D13—44no—
738C4×D13—44no—
739C4×D13—44no—
740C4×D13—44no—
741C4×D13—44no—
742C4×D13—44no—
743C4×D13—44no—
744C23×D4—131no—
745C24×C4—131no—
746C22×C4⋊C4—131no—
747C22×C4⋊C4—131no—
748C22×C4⋊C4—131no—
749C22×C4⋊C4—131no—
750C22×C4⋊C4—131no—
751C22×C4⋊C4—131no—
752C22×C4⋊C4—131no—
753C22×C4⋊C4—131no—
754C22×C4⋊C4—131no—
755C22×C4⋊C4—131no—
756C22×C22⋊C4—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C22⋊C4—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763C22×C22⋊C4—131no—
764C22×C22⋊C4—131no—
765C22×C22⋊C4—131no—
766C22×C22⋊C4—131no—
767#400—131no—
768#400—131no—
769#400—131no—
770#400—131no—
771#400—131no—
772#400—131no—
773#400—131no—
774#400—131no—
775#400—131no—
776#400—131no—
777#400—131no—
778#400—131no—
779#400—131no—
780#400—131no—
781#400C2×D1311yescharacteristic, complemented
782#400C2×D1311yescharacteristic, complemented
783#399—131no—
784#399—131no—
785#399—131no—
786#399—131no—
787#399—131no—
788#399—131no—
789#399—131no—
790#399C2×D1311yescharacteristic, complemented
791#398—131no—
792#398—131no—
793#398—131no—
794#398—131no—
795#398—131no—
796#398—131no—
797#398—131no—
798#398—131no—
799#398—131no—
800#398—131no—
801#398—131no—
802#398—131no—
803#398—131no—
804#398—131no—
805#398C2×D1311yescharacteristic, complemented
806#398C2×D1311yescharacteristic, complemented
807#397—131no—
808#397—131no—
809#397—131no—
810#397—131no—
811#397—131no—
812#397—131no—
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397—131no—
818#397—131no—
819#397—131no—
820#397—131no—
821#397—131no—
822#397—131no—
823#397—131no—
824#397—131no—
825#397—131no—
826#397—131no—
827#397—131no—
828#397C2×D1311yescharacteristic, complemented
829#397C2×D1311yescharacteristic, complemented
830#397C2×D1311yescharacteristic, complemented
831#396—131no—
832#396—131no—
833#396—131no—
834#396—131no—
835#396—131no—
836#396—131no—
837#396—131no—
838#396—131no—
839#396—131no—
840#396—131no—
841#396—131no—
842#396—131no—
843#396—131no—
844#396—131no—
845#396C2×D1311yescharacteristic, complemented
846#396C2×D1311yescharacteristic, complemented
847#394—131no—
848#394—131no—
849#394—131no—
850#394—131no—
851#394—131no—
852#394—131no—
853#394—131no—
854#394—131no—
855#394—131no—
856#394—131no—
857#394—131no—
858#394—131no—
859#394—131no—
860#394—131no—
861#394C2×D1311yescharacteristic
862#394C2×D1311yescharacteristic
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#385—131no—
872#385—131no—
873#385—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385C2×D1311yescharacteristic, complemented
886#385C2×D1311yescharacteristic, complemented
887C2×#95—131no—
888C2×#95—131no—
889C2×#95—131no—
890C2×#95—131no—
891C2×#95—131no—
892C2×#95—131no—
893C2×#95—131no—
894C2×#95—131no—
895C2×#95—131no—
896C2×#95—131no—
897C2×#95—131no—
898C2×#95—131no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13C22×#4111yescharacteristic
914C22×C13C2×H(5,𝔽2)11yescharacteristic
915C22×C13C2×H(5,𝔽2)11yescharacteristic
916C22×C13C2×H(5,𝔽2)11yescharacteristic
917C22×C13C2×H(5,𝔽2)11yescharacteristic
918C22×C13C2×2−1+411yescharacteristic
919C22×C13C2×2−1+411yescharacteristic
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—416no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C2×D13—88no—
936C2×D13#53814yes—
937C2×D13#53914yes—
938C2×D13#53914yes—
939C2×D13#56014yes—
940C2×D13#56214yes—
941C2×D13#56214yes—
942C2×D13#56314yes—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13—41no—
948C4×C13—41no—
949C4×C13—41no—
950C4×C13—41no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954C4×C13—41no—
955C4×C13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961Dic13—41no—
962Dic13—41no—
963Dic13—41no—
964Dic13—41no—
965Dic13—41no—
966Dic13—41no—
967Dic13—41no—
968Dic13—41no—
969C25—131no—
970C25—131no—
971C22×D4—131no—
972C22×D4—131no—
973C22×D4—131no—
974C22×D4—264no—
975C22×D4—522no—
976C22×D4—522no—
977C22×D4C22×D1311yescharacteristic
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—131no—
982C23×C4—131no—
983C23×C4—131no—
984C23×C4—131no—
985C23×C4—131no—
986C23×C4—131no—
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—522no—
995C23×C4—522no—
996C23×C4—522no—
997C23×C4C22×D1311yescharacteristic
998C2×C4⋊C4—131no—
999C2×C4⋊C4—131no—
1000C2×C4⋊C4—131no—
1001C2×C4⋊C4—131no—
1002C2×C4⋊C4—131no—
1003C2×C4⋊C4—131no—
1004C2×C4⋊C4—131no—
1005C2×C4⋊C4—131no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4—131no—
1028C2×C4⋊C4—522no—
1029C2×C4⋊C4—522no—
1030C2×C4⋊C4—522no—
1031C2×C4⋊C4—522no—
1032C2×C4⋊C4—522no—
1033C2×C4⋊C4—522no—
1034C2×C4⋊C4—522no—
1035C2×C4⋊C4—522no—
1036C2×C4⋊C4—522no—
1037C2×C4⋊C4—522no—
1038C2×C4⋊C4C22×D1311yescharacteristic
1039C2×C4⋊C4C22×D1311yescharacteristic
1040C2×C4⋊C4C22×D1311yescharacteristic
1041C2×C4⋊C4C22×D1311yescharacteristic
1042C2×C4⋊C4C22×D1311yescharacteristic
1043C2×C4⋊C4C22×D1311yescharacteristic
1044C2×C4⋊C4C22×D1311yescharacteristic
1045C2×C4⋊C4C22×D1311yescharacteristic
1046C2×C4⋊C4C22×D1311yescharacteristic
1047C2×C4⋊C4C22×D1311yescharacteristic
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
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—264no—
1082C2×C22⋊C4—264no—
1083C2×C22⋊C4—522no—
1084C2×C22⋊C4—522no—
1085C2×C22⋊C4—522no—
1086C2×C22⋊C4—522no—
1087C2×C22⋊C4—522no—
1088C2×C22⋊C4—522no—
1089C2×C22⋊C4—522no—
1090C2×C22⋊C4—522no—
1091C2×C22⋊C4—522no—
1092C2×C22⋊C4C22×D1311yescharacteristic
1093C2×C22⋊C4C22×D1311yescharacteristic
1094C2×C22⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4C22×D1311yescharacteristic
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
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#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144#95C22×D1311yescharacteristic
1145#95C22×D1311yescharacteristic
1146#95C22×D1311yescharacteristic
1147#95C22×D1311yescharacteristic
1148#95C22×D1311yescharacteristic
1149#95C22×D1311yescharacteristic
1150#95C22×D1311yescharacteristic
1151C2×C13—42no—
1152C2×C13—81no—
1153C2×C13C2×#53811yescharacteristic
1154C2×C13C2×#53911yescharacteristic
1155C2×C13C2×#53911yescharacteristic
1156C2×C13C2×#56011yescharacteristic
1157C2×C13C2×#56211yescharacteristic
1158C2×C13C2×#56211yescharacteristic
1159C2×C13C2×#56311yescharacteristic
1160D13—42no—
1161D13—81no—
1162D13#282718yesdirect product factor
1163C24—131no—
1164C24—134no—
1165C24—131no—
1166C24—131no—
1167C24—262no—
1168C24—262no—
1169C24—262no—
1170C24—262no—
1171C24—262no—
1172C24—262no—
1173C24—262no—
1174C24—262no—
1175C24—262no—
1176C24—262no—
1177C24—262no—
1178C24—262no—
1179C24—262no—
1180C24C23×D1311yescharacteristic
1181C24C23×D1311yescharacteristic
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—262no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C2×D4—521no—
1192C2×D4—521no—
1193C2×D4—521no—
1194C2×D4—5216no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—262no—
1212C22×C4—262no—
1213C22×C4—262no—
1214C22×C4—262no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—521no—
1251C22×C4—521no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4—521no—
1256C22×C4—5216no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4C23×D1311yescharacteristic
1261C22×C4C23×D1311yescharacteristic
1262C22×C4C23×D1311yescharacteristic
1263C22×C4C23×D1311yescharacteristic
1264C22×C4C23×D1311yescharacteristic
1265C22×C4C23×D1311yescharacteristic
1266C22×C4C23×D1311yescharacteristic
1267C22×C4C23×D1311yescharacteristic
1268C22×C4C23×D1311yescharacteristic
1269C22×C4C23×D1311yescharacteristic
1270C22×C4C23×D1311yescharacteristic
1271C22×C4C23×D1311yescharacteristic
1272C22×C4C23×D1311yescharacteristic
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—521no—
1284C4⋊C4—521no—
1285C4⋊C4—521no—
1286C4⋊C4—521no—
1287C4⋊C4—521no—
1288C4⋊C4—521no—
1289C4⋊C4—521no—
1290C4⋊C4—521no—
1291C4⋊C4—521no—
1292C4⋊C4—521no—
1293C4⋊C4—521no—
1294C4⋊C4—521no—
1295C4⋊C4—521no—
1296C4⋊C4—521no—
1297C4⋊C4—521no—
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—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—262no—
1325C22⋊C4—262no—
1326C22⋊C4—262no—
1327C22⋊C4—262no—
1328C22⋊C4—262no—
1329C22⋊C4—262no—
1330C22⋊C4—521no—
1331C22⋊C4—521no—
1332C22⋊C4—521no—
1333C22⋊C4—521no—
1334C22⋊C4—521no—
1335C22⋊C4—521no—
1336C22⋊C4—521no—
1337C22⋊C4—521no—
1338C22⋊C4—521no—
1339C22⋊C4—521no—
1340C22⋊C4—521no—
1341C22⋊C4—521no—
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—
1357C13C2×#282711yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—132no—
1372C23—132no—
1373C23—132no—
1374C23—132no—
1375C23—132no—
1376C23—132no—
1377C23—132no—
1378C23—132no—
1379C23—268no—
1380C23—268no—
1381C23—268no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23—261no—
1387C23—261no—
1388C23—261no—
1389C23—261no—
1390C23—261no—
1391C23—261no—
1392C23—261no—
1393C23—261no—
1394C23—261no—
1395C23—524no—
1396C23—524no—
1397C23—524no—
1398C23—524no—
1399C23—524no—
1400C23—524no—
1401C23—524no—
1402C23—524no—
1403C23—524no—
1404C23—524no—
1405C23—524no—
1406C23#41×D1312yes—
1407C23C24×D1311yescharacteristic
1408D4—44no—
1409D4—524no—
1410D4—524no—
1411D4—524no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—44no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—524no—
1492C2×C4—524no—
1493C2×C4—524no—
1494C2×C4—524no—
1495C2×C4—524no—
1496C2×C4—524no—
1497C2×C4—524no—
1498C2×C4—524no—
1499C2×C4—524no—
1500C2×C4—524no—
1501C2×C4—524no—
1502C2×C4—524no—
1503C2×C4—524no—
1504C2×C4—524no—
1505C2×C4—524no—
1506C2×C4—524no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—134no—
1522C22—134no—
1523C22—134no—
1524C22—134no—
1525C22—134no—
1526C22—134no—
1527C22—134no—
1528C22—262no—
1529C22—262no—
1530C22—262no—
1531C22—5216no—
1532C22—521no—
1533C22—521no—
1534C22—521no—
1535C22—521no—
1536C22—521no—
1537C22—521no—
1538C22—521no—
1539C22—521no—
1540C22—521no—
1541C22—521no—
1542C22—521no—
1543C22—1048no—
1544C22C2×#41×D1311yescharacteristic
1545C22D13×H(5,𝔽2)11yescharacteristic
1546C22D13×H(5,𝔽2)11yescharacteristic
1547C22D13×H(5,𝔽2)11yescharacteristic
1548C22D13×H(5,𝔽2)11yescharacteristic
1549C22D13×2−1+411yescharacteristic
1550C22D13×2−1+411yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—521no—
1565C4—521no—
1566C4—521no—
1567C4—521no—
1568C4—521no—
1569C4—521no—
1570C4—521no—
1571C4—521no—
1572C4—521no—
1573C4—521no—
1574C4—521no—
1575C4—521no—
1576C4—521no—
1577C2—42no—
1578C2—81no—
1579C2—138no—
1580C2—522no—
1581C2—1041no—
1582C2D13×#53811yescharacteristic
1583C2D13×#53911yescharacteristic
1584C2D13×#53911yescharacteristic
1585C2D13×#56011yescharacteristic
1586C2D13×#56211yescharacteristic
1587C2D13×#56211yescharacteristic
1588C2D13×#56311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2827C2
prime radicalC22×D4×D13C22
hypercenter#2827D13
hypocenterC13C2×#2827
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2827

Complements

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

NH ≅ G/Ntype
1. #13122951C2semidirect
2. #13122950C2semidirect
3. #13122949C2semidirect
4. #13122948C2semidirect
5. #13122947C2semidirect
6. #13122946C2semidirect
7. #13122945C2semidirect
8. #13122944C2semidirect
9. #13122943C2semidirect
10. #13122942C2semidirect
11. #13122941C2semidirect
12. #13122940C2semidirect
13. #13122939C2semidirect
14. #13122938C2semidirect
15. #13122937C2semidirect
16. D13×#400C2semidirect
17. D13×#400C2semidirect
18. D13×#399C2semidirect
19. D13×#398C2semidirect
20. D13×#398C2semidirect
21. D13×#397C2semidirect
22. D13×#397C2semidirect
23. D13×#397C2semidirect
24. D13×#396C2semidirect
25. D13×#396C2semidirect
29. D13×#385C2semidirect
30. D13×#385C2semidirect
31. C13×#2827C2semidirect
55. C13×#400C22semidirect
56. C13×#400C22semidirect
57. C13×#399C22semidirect
58. C13×#398C22semidirect
59. C13×#398C22semidirect
60. C13×#397C22semidirect
61. C13×#397C22semidirect
62. C13×#397C22semidirect
63. C13×#396C22semidirect
64. C13×#396C22semidirect
68. C13×#385C22semidirect
69. C13×#385C22semidirect
74. #11718871C22semidirect
75. #11718871C22semidirect
76. #11718655C22semidirect
77. #11718655C22semidirect
78. #11718655C22semidirect
79. #11718655C22semidirect
80. #11718655C22semidirect
81. #11718655C22semidirect
82. #11718654C22semidirect
83. #11718654C22semidirect
84. #11718654C22semidirect
85. #11718653C22semidirect
86. #11718653C22semidirect
87. #11718653C22semidirect
90. #11718650C22semidirect
91. #11718650C22semidirect
92. #11718650C22semidirect
93. #11718650C22semidirect
94. #11718647C22semidirect
95. #11718647C22semidirect
96. #11718645C22semidirect
97. #11718645C22semidirect
98. #11718645C22semidirect
99. #11718645C22semidirect
100. #11718644C22semidirect
101. #11718644C22semidirect
102. #11718643C22semidirect
103. #11718643C22semidirect
104. #11718641C22semidirect
105. #11718641C22semidirect
117. #11718614C22semidirect
118. #11718614C22semidirect
119. #11718614C22semidirect
120. #11718613C22semidirect
121. #11718613C22semidirect
122. #11718613C22semidirect
123. #11718613C22semidirect
124. #11718613C22semidirect
125. #11718613C22semidirect
126. #11718611C22semidirect
127. #11718611C22semidirect
128. #11718610C22semidirect
129. #11718610C22semidirect
130. #11718610C22semidirect
131. #11718609C22semidirect
132. #11718609C22semidirect
133. #11718609C22semidirect
134. #11718609C22semidirect
135. #11718609C22semidirect
136. #11718609C22semidirect
137. #11718607C22semidirect
138. #11718607C22semidirect
139. #11718338C22semidirect
140. #11718337C22semidirect
141. #11718337C22semidirect
142. #11718336C22semidirect
143. #11718336C22semidirect
144. #11718336C22semidirect
145. #11718336C22semidirect
146. #11718336C22semidirect
147. #11718336C22semidirect
148. #11718335C22semidirect
149. #11718335C22semidirect
150. #11718335C22semidirect
153. #11718329C22semidirect
154. #11718329C22semidirect
155. #11718329C22semidirect
156. #11718329C22semidirect
171. #11718322C22semidirect
172. #11718322C22semidirect
173. #11718321C22semidirect
174. #11718321C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718320C22semidirect
178. #11718320C22semidirect
179. #11718319C22semidirect
180. #11718319C22semidirect
181. #11718319C22semidirect
182. #11718319C22semidirect
183. #11718318C22semidirect
184. #11718318C22semidirect
185. #11718318C22semidirect
186. #11718318C22semidirect
579. #2827D13direct (N × H)
781. #400C2×D13semidirect
782. #400C2×D13semidirect
790. #399C2×D13semidirect
805. #398C2×D13semidirect
806. #398C2×D13semidirect
828. #397C2×D13semidirect
829. #397C2×D13semidirect
830. #397C2×D13semidirect
845. #396C2×D13semidirect
846. #396C2×D13semidirect
885. #385C2×D13semidirect
886. #385C2×D13semidirect
1162. D13#2827direct (N × H)
1357. C13C2×#2827semidirect

Maximal subgroups

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

subgroupindex
#131229512
#131229502
#131229492
#131229482
#131229472
#131229462
#131229452
#131229442
#131229432
#131229422
#131229412
#131229402
#131229392
#131229382
#131229372
D13×#4002
D13×#3992
D13×#3982
D13×#3972
D13×#3962
D13×#3942
D13×#3862
D13×#3852
C13×#28272
C2×#282713