Finite Group Databasebeta

← D13×#2578 #16033382

Subgroups — D13×#2578 #16033382

Order 3328.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120177C211yesmaximal, characteristic, complemented
2#13120176C211yesmaximal, characteristic, complemented
3#13120175C211yesmaximal, characteristic, complemented
4#13120174C211yesmaximal, characteristic, complemented
5#13120173C211yesmaximal, characteristic, complemented
6#13120172C211yesmaximal, characteristic, complemented
7#13120171C211yesmaximal, characteristic, complemented
8#13120170C211yesmaximal, characteristic, complemented
9#13120169C211yesmaximal, characteristic, complemented
10#13120168C211yesmaximal, characteristic, complemented
11#13120167C211yesmaximal, characteristic, complemented
12#13120166C211yesmaximal, characteristic, complemented
13#13120165C211yesmaximal, characteristic, complemented
14#13120164C211yesmaximal, characteristic, complemented
15#13120163C211yesmaximal, characteristic, complemented
16D13×#400C211yesmaximal, characteristic, complemented
17D13×#397C211yesmaximal, characteristic, complemented
18D13×#397C211yesmaximal, characteristic, complemented
19D13×#394C211yesmaximal, characteristic
20D13×#388C211yesmaximal, characteristic, complemented
21D13×#388C211yesmaximal, characteristic, complemented
22D13×#387C211yesmaximal, characteristic, complemented
23D13×#387C211yesmaximal, characteristic, complemented
24D13×#386C211yesmaximal, characteristic
25D13×#386C211yesmaximal, characteristic
26D13×#385C211yesmaximal, characteristic, complemented
27D13×#383C211yesmaximal, characteristic, complemented
28D13×#380C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2578C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C4⋊C4×D13C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×C4⋊C4×D13C2211yescharacteristic
39C2×C4⋊C4×D13C2211yescharacteristic
40C2×C22⋊C4×D13C2211yescharacteristic
41C2×C22⋊C4×D13C2211yescharacteristic
42C2×C22⋊C4×D13C2211yescharacteristic
43C2×C22⋊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×C42×D13C2211yescharacteristic
51C2×C42×D13C2211yescharacteristic
52C2×C42×D13C2211yescharacteristic
53C13×#400C2211yescharacteristic, complemented
54C13×#397C2211yescharacteristic, complemented
55C13×#397C2211yescharacteristic, complemented
56C13×#394C2211yescharacteristic
57C13×#388C2211yescharacteristic, complemented
58C13×#388C2211yescharacteristic, complemented
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#385C2211yescharacteristic, complemented
64C13×#383C2211yescharacteristic, complemented
65C13×#380C2211yescharacteristic, complemented
66C4×C13×C22⋊C4C2211yescharacteristic, complemented
67C4×C13×C22⋊C4C2211yescharacteristic, complemented
68#11718883C2211yescharacteristic
69#11718881C2211yescharacteristic
70#11718881C2211yescharacteristic
71#11718874C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718873C2211yescharacteristic, complemented
74#11718871C2211yescharacteristic, complemented
75C4×C22⋊Dic13C2211yescharacteristic, complemented
76C4×C22⋊Dic13C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718652C2211yescharacteristic
80#11718651C2211yescharacteristic, complemented
81#11718651C2211yescharacteristic, complemented
82#11718650C2211yescharacteristic, complemented
83#11718650C2211yescharacteristic, complemented
84#11718648C2211yescharacteristic, complemented
85#11718648C2211yescharacteristic, complemented
86#11718647C2211yescharacteristic, complemented
87#11718643C2211yescharacteristic, complemented
88#11718642C2211yescharacteristic, complemented
89#11718642C2211yescharacteristic, complemented
90#11718639C2211yescharacteristic, complemented
91#11718639C2211yescharacteristic, complemented
92#11718622C2211yescharacteristic
93#11718622C2211yescharacteristic
94#11718620C2211yescharacteristic
95#11718620C2211yescharacteristic
96#11718619C2211yescharacteristic
97#11718619C2211yescharacteristic
98#11718617C2211yescharacteristic
99#11718617C2211yescharacteristic
100#11718617C2211yescharacteristic
101#11718617C2211yescharacteristic
102#11718614C2211yescharacteristic, complemented
103#11718614C2211yescharacteristic, complemented
104#11718613C2211yescharacteristic, complemented
105#11718613C2211yescharacteristic, complemented
106#11718613C2211yescharacteristic, complemented
107#11718613C2211yescharacteristic, complemented
108#11718612C2211yescharacteristic, complemented
109#11718612C2211yescharacteristic, complemented
110#11718611C2211yescharacteristic, complemented
111#11718607C2211yescharacteristic, complemented
112#11718606C2211yescharacteristic, complemented
113#11718606C2211yescharacteristic, complemented
114#11718605C2211yescharacteristic, complemented
115#11718605C2211yescharacteristic, complemented
116#11718603C2211yescharacteristic, complemented
117#11718603C2211yescharacteristic, complemented
118C22⋊C4×Dic13C2211yescharacteristic, complemented
119C22⋊C4×Dic13C2211yescharacteristic, complemented
120C22⋊C4×Dic13C2211yescharacteristic, complemented
121C22⋊C4×Dic13C2211yescharacteristic, complemented
122#11718601C2211yescharacteristic, complemented
123#11718601C2211yescharacteristic, complemented
124C4×#6103C2211yescharacteristic, complemented
125C4×#6103C2211yescharacteristic, complemented
126C4×#6103C2211yescharacteristic, complemented
127C4×#6103C2211yescharacteristic, complemented
128#11718598C2211yescharacteristic, complemented
129#11718594C2211yescharacteristic, complemented
130#11718594C2211yescharacteristic, complemented
131#11718336C2211yescharacteristic, complemented
132#11718336C2211yescharacteristic, complemented
133#11718336C2211yescharacteristic, complemented
134#11718336C2211yescharacteristic, complemented
135#11718335C2211yescharacteristic, complemented
136#11718335C2211yescharacteristic, complemented
137#11718333C2211yescharacteristic
138#11718331C2211yescharacteristic, complemented
139#11718331C2211yescharacteristic, complemented
140#11718330C2211yescharacteristic, complemented
141#11718330C2211yescharacteristic, complemented
142#11718329C2211yescharacteristic, complemented
143#11718329C2211yescharacteristic, complemented
144#11718328C2211yescharacteristic, complemented
145#11718328C2211yescharacteristic, complemented
146#11718327C2211yescharacteristic, complemented
147#11718327C2211yescharacteristic, complemented
148#11718327C2211yescharacteristic, complemented
149#11718327C2211yescharacteristic, complemented
150#11718326C2211yescharacteristic
151#11718326C2211yescharacteristic
152#11718326C2211yescharacteristic
153#11718326C2211yescharacteristic
154D13×#95C2211yescharacteristic
155D13×#95C2211yescharacteristic
156D13×#95C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168#11718321C2211yescharacteristic, complemented
169#11718321C2211yescharacteristic, complemented
170#11718320C2211yescharacteristic, complemented
171#11718319C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718316C2211yescharacteristic, complemented
174#11718316C2211yescharacteristic, complemented
175#11718315C2211yescharacteristic, complemented
176#11718315C2211yescharacteristic, complemented
177#11718314C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718312C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C2×D4×D13—24no—
197C2×D4×D13—24no—
198C2×D4×D13—42no—
199C22×D52C2311yescharacteristic
200C22×C4×D13—24no—
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13—42no—
204C22×C4×D13—42no—
205C22×C4×D13—42no—
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
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×#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×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×#6101C2311yescharacteristic
277C2×#6101C2311yescharacteristic
278C2×#6101C2311yescharacteristic
279C2×#6101C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×C4×Dic13C2311yescharacteristic
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2311yescharacteristic
289C2×C4×Dic13C2311yescharacteristic
290C2×C4×Dic13C2311yescharacteristic
291C2×C4×Dic13C2311yescharacteristic
292C2×C4×Dic13C2311yescharacteristic
293C2×C4×Dic13C2311yescharacteristic
294C2×C4×Dic13C2311yescharacteristic
295C4⋊C4×D13—24no—
296C4⋊C4×D13—24no—
297C4⋊C4×D13—42no—
298C4⋊C4×D13—42no—
299C4⋊C4×D13—42no—
300C22⋊C4×D13—24no—
301C22⋊C4×D13—24no—
302C22⋊C4×D13—24no—
303C22⋊C4×D13—24no—
304C22⋊C4×D13—24no—
305C22⋊C4×D13—24no—
306C22⋊C4×D13—24no—
307C22⋊C4×D13—42no—
308C22⋊C4×D13—42no—
309C22⋊C4×D13—42no—
310C42×D13—24no—
311C42×D13—42no—
312C42×D13—42no—
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327#88071C2311yescharacteristic
328#88071C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
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×#2578—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#4114yes—
385C23×D13#4114yes—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—22no—
390C2×D4×C13—22no—
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
410C22×C4×C13C2411yescharacteristic
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C22×Dic13—22no—
418C22×Dic13—22no—
419C22×Dic13—22no—
420C22×Dic13—41no—
421C22×Dic13—41no—
422C22×Dic13—41no—
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436D4×D13—416no—
437C2×D52—22no—
438C2×D52—22no—
439C2×D52—41no—
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—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—416no—
483C2×C4×D13—416no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13#4114yes—
491C2×C4×D13#4114yes—
492C2×C4×D13#4114yes—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—22no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C4⋊C4—41no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C42×C13—22no—
509C42×C13—41no—
510C42×C13—41no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546#6101—22no—
547#6101—22no—
548#6101—22no—
549#6101—22no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556C4×Dic13—22no—
557C4×Dic13—22no—
558C4×Dic13—22no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565#2578—131no—
566#2578—131no—
567#2578—131no—
568#2578—131no—
569#2578—131no—
570#2578—131no—
571#2578—131no—
572#2578—131no—
573#2578—131no—
574#2578—131no—
575#2578—131no—
576#2578—131no—
577#2578—131no—
578#2578—131no—
579#2578—131no—
580#2578D1311yescharacteristic, direct product factor
581C2×#400—131no—
582C2×#397—131no—
583C2×#397—131no—
584C2×#394—131no—
585C2×#388—131no—
586C2×#388—131no—
587C2×#387—131no—
588C2×#387—131no—
589C2×#386—131no—
590C2×#386—131no—
591C2×#385—131no—
592C2×#383—131no—
593C2×#380—131no—
594C2×C4×C22⋊C4—131no—
595C2×C4×C22⋊C4—131no—
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×C13C2×#4112yes—
610C23×C13C2511yescharacteristic
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—28no—
624C22×D13—28no—
625C22×D13—28no—
626C22×D13—28no—
627C22×D13—28no—
628C22×D13—28no—
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×D13C2×#4112yes—
640C22×D13C2×#4112yes—
641C22×D13C2×#4112yes—
642C22×D13C2×#4112yes—
643C22×D13C2×#4112yes—
644C22×D13H(5,𝔽2)12yes—
645C22×D13H(5,𝔽2)12yes—
646D4×C13—44no—
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—44no—
684C2×C4×C13—44no—
685C2×C4×C13C2×#4112yes—
686C2×C4×C13C2×#4112yes—
687C2×C4×C13C2×#4112yes—
688C22⋊D13—44no—
689C22⋊D13—44no—
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—44no—
727C2×Dic13—44no—
728C2×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731D52—44no—
732C4×D13—28no—
733C4×D13—28no—
734C4×D13—28no—
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—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C23×D4—131no—
750C24×C4—131no—
751C24×C4—131no—
752C22×C4⋊C4—131no—
753C22×C4⋊C4—131no—
754C22×C4⋊C4—131no—
755C22×C4⋊C4—131no—
756C22×C4⋊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—
767C22×C42—131no—
768C22×C42—131no—
769C22×C42—131no—
770#400—131no—
771#400—131no—
772#400—131no—
773#400—131no—
774#400—131no—
775#400—131no—
776#400—131no—
777#400C2×D1311yescharacteristic, complemented
778#397—131no—
779#397—131no—
780#397—131no—
781#397—131no—
782#397—131no—
783#397—131no—
784#397—131no—
785#397—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#397—131no—
792#397C2×D1311yescharacteristic, complemented
793#397C2×D1311yescharacteristic, complemented
794#394—131no—
795#394—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394C2×D1311yescharacteristic
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388C2×D1311yescharacteristic, complemented
817#388C2×D1311yescharacteristic, complemented
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—131no—
826#387—131no—
827#387—131no—
828#387—131no—
829#387—131no—
830#387—131no—
831#387—131no—
832#387C2×D1311yescharacteristic, complemented
833#387C2×D1311yescharacteristic, complemented
834#386—131no—
835#386—131no—
836#386—131no—
837#386—131no—
838#386—131no—
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386C2×D1311yescharacteristic
849#386C2×D1311yescharacteristic
850#385—131no—
851#385—131no—
852#385—131no—
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385C2×D1311yescharacteristic, complemented
858#383—131no—
859#383—131no—
860#383—131no—
861#383—131no—
862#383—131no—
863#383—131no—
864#383—131no—
865#383C2×D1311yescharacteristic, complemented
866#380—131no—
867#380—131no—
868#380—131no—
869#380—131no—
870#380—131no—
871#380—131no—
872#380—131no—
873#380C2×D1311yescharacteristic, complemented
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
888C4×C22⋊C4C2×D1311yescharacteristic, complemented
889C4×C22⋊C4C2×D1311yescharacteristic, complemented
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—
899C2×#95—131no—
900C2×#95—131no—
901C2×#95—131no—
902C2×#95—131no—
903C2×#95—131no—
904C22×C13—22no—
905C22×C13—22no—
906C22×C13—22no—
907C22×C13—22no—
908C22×C13—22no—
909C22×C13—22no—
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×C13C22×#4111yescharacteristic
919C22×C13C22×#4111yescharacteristic
920C22×C13C22×#4111yescharacteristic
921C22×C13C22×#4111yescharacteristic
922C22×C13C22×#4111yescharacteristic
923C22×C13C2×H(5,𝔽2)11yescharacteristic
924C22×C13C2×H(5,𝔽2)11yescharacteristic
925C2×D13—22no—
926C2×D13—22no—
927C2×D13—22no—
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—22no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C2×D13—41no—
936C2×D13—41no—
937C2×D13—41no—
938C2×D13—41no—
939C2×D13—416no—
940C2×D13—416no—
941C2×D13#52914yes—
942C2×D13#52914yes—
943C2×D13#53814yes—
944C2×D13#55114yes—
945C2×D13#55114yes—
946C2×D13#55314yes—
947C2×D13#55314yes—
948C4×C13—22no—
949C4×C13—22no—
950C4×C13—22no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954C4×C13—41no—
955C4×C13—41no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C4×C13—41no—
961Dic13—22no—
962Dic13—22no—
963Dic13—22no—
964Dic13—41no—
965Dic13—41no—
966Dic13—41no—
967Dic13—41no—
968Dic13—41no—
969Dic13—41no—
970Dic13—41no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974C25—131no—
975C25—131no—
976C22×D4—131no—
977C22×D4—131no—
978C22×D4—131no—
979C22×D4—264no—
980C22×D4—264no—
981C22×D4—522no—
982C22×D4C22×D1311yescharacteristic
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—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—264no—
1003C23×C4—264no—
1004C23×C4—264no—
1005C23×C4—522no—
1006C23×C4—522no—
1007C23×C4—522no—
1008C23×C4C22×D1311yescharacteristic
1009C23×C4C22×D1311yescharacteristic
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—264no—
1026C2×C4⋊C4—264no—
1027C2×C4⋊C4—522no—
1028C2×C4⋊C4—522no—
1029C2×C4⋊C4—522no—
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C4⋊C4C22×D1311yescharacteristic
1032C2×C4⋊C4C22×D1311yescharacteristic
1033C2×C4⋊C4C22×D1311yescharacteristic
1034C2×C4⋊C4C22×D1311yescharacteristic
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
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—264no—
1066C2×C22⋊C4—264no—
1067C2×C22⋊C4—264no—
1068C2×C22⋊C4—264no—
1069C2×C22⋊C4—264no—
1070C2×C22⋊C4—264no—
1071C2×C22⋊C4—264no—
1072C2×C22⋊C4—522no—
1073C2×C22⋊C4—522no—
1074C2×C22⋊C4—522no—
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C22⋊C4C22×D1311yescharacteristic
1077C2×C22⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4C22×D1311yescharacteristic
1079C2×C22⋊C4C22×D1311yescharacteristic
1080C2×C22⋊C4C22×D1311yescharacteristic
1081C2×C22⋊C4C22×D1311yescharacteristic
1082C2×C22⋊C4C22×D1311yescharacteristic
1083C2×C22⋊C4C22×D1311yescharacteristic
1084C2×C22⋊C4C22×D1311yescharacteristic
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—264no—
1095C2×C42—522no—
1096C2×C42—522no—
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099C2×C42C22×D1311yescharacteristic
1100#95—131no—
1101#95—131no—
1102#95—131no—
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#95—131no—
1140#95—131no—
1141#95—131no—
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
1151#95C22×D1311yescharacteristic
1152#95C22×D1311yescharacteristic
1153#95C22×D1311yescharacteristic
1154#95C22×D1311yescharacteristic
1155#95C22×D1311yescharacteristic
1156C2×C13—42no—
1157C2×C13—42no—
1158C2×C13C2×#52911yescharacteristic
1159C2×C13C2×#52911yescharacteristic
1160C2×C13C2×#53811yescharacteristic
1161C2×C13C2×#55111yescharacteristic
1162C2×C13C2×#55111yescharacteristic
1163C2×C13C2×#55311yescharacteristic
1164C2×C13C2×#55311yescharacteristic
1165D13—42no—
1166D13—42no—
1167D13#257818yesdirect product factor
1168C24—131no—
1169C24—134no—
1170C24—134no—
1171C24—131no—
1172C24—131no—
1173C24—262no—
1174C24—262no—
1175C24—262no—
1176C24—262no—
1177C24—262no—
1178C24—262no—
1179C24—262no—
1180C24—262no—
1181C24—262no—
1182C24—262no—
1183C24—262no—
1184C24—262no—
1185C24C23×D1311yescharacteristic
1186C24C23×D1311yescharacteristic
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—262no—
1191C2×D4—262no—
1192C2×D4—262no—
1193C2×D4—262no—
1194C2×D4—262no—
1195C2×D4—262no—
1196C2×D4—521no—
1197C2×D4—521no—
1198C2×D4—521no—
1199C2×D4—5216no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—134no—
1210C22×C4—134no—
1211C22×C4—134no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
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—262no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—5216no—
1274C22×C4—5216no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—262no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—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—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
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—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—262no—
1355C42—262no—
1356C42—262no—
1357C42—521no—
1358C42—521no—
1359C42—521no—
1360C42—521no—
1361C42—521no—
1362C42—521no—
1363C13C2×#257811yescharacteristic, complemented, Sylow
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—132no—
1377C23—132no—
1378C23—132no—
1379C23—132no—
1380C23—132no—
1381C23—132no—
1382C23—132no—
1383C23—132no—
1384C23—132no—
1385C23—268no—
1386C23—268no—
1387C23—268no—
1388C23—268no—
1389C23—268no—
1390C23—268no—
1391C23—261no—
1392C23—261no—
1393C23—261no—
1394C23—261no—
1395C23—261no—
1396C23—261no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
1401C23—261no—
1402C23—261no—
1403C23—524no—
1404C23—524no—
1405C23—524no—
1406C23—524no—
1407C23—524no—
1408C23—524no—
1409C23—524no—
1410C23—524no—
1411C23#41×D1312yes—
1412C23#41×D1312yes—
1413C23C24×D1311yescharacteristic
1414D4—44no—
1415D4—524no—
1416D4—524no—
1417D4—524no—
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—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—132no—
1457C2×C4—132no—
1458C2×C4—132no—
1459C2×C4—268no—
1460C2×C4—268no—
1461C2×C4—268no—
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—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
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—
1507C2×C4—524no—
1508C2×C4—524no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4#41×D1312yes—
1515C2×C4#41×D1312yes—
1516C2×C4#41×D1312yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—134no—
1532C22—134no—
1533C22—134no—
1534C22—134no—
1535C22—134no—
1536C22—134no—
1537C22—134no—
1538C22—262no—
1539C22—262no—
1540C22—262no—
1541C22—262no—
1542C22—262no—
1543C22—262no—
1544C22—5216no—
1545C22—5216no—
1546C22—521no—
1547C22—521no—
1548C22—521no—
1549C22—521no—
1550C22—521no—
1551C22—521no—
1552C22—521no—
1553C22—521no—
1554C22C2×#41×D1311yescharacteristic
1555C22C2×#41×D1311yescharacteristic
1556C22C2×#41×D1311yescharacteristic
1557C22C2×#41×D1311yescharacteristic
1558C22C2×#41×D1311yescharacteristic
1559C22D13×H(5,𝔽2)11yescharacteristic
1560C22D13×H(5,𝔽2)11yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—262no—
1575C4—262no—
1576C4—262no—
1577C4—521no—
1578C4—521no—
1579C4—521no—
1580C4—521no—
1581C4—521no—
1582C4—521no—
1583C4—521no—
1584C4—521no—
1585C4—521no—
1586C4—521no—
1587C2—42no—
1588C2—42no—
1589C2—138no—
1590C2—522no—
1591C2—522no—
1592C2D13×#52911yescharacteristic
1593C2D13×#52911yescharacteristic
1594C2D13×#53811yescharacteristic
1595C2D13×#55111yescharacteristic
1596C2D13×#55111yescharacteristic
1597C2D13×#55311yescharacteristic
1598C2D13×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2578C2
prime radicalC22×D4×D13C22
hypercenter#2578D13
hypocenterC13C2×#2578
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. #13120177C2semidirect
2. #13120176C2semidirect
3. #13120175C2semidirect
4. #13120174C2semidirect
5. #13120173C2semidirect
6. #13120172C2semidirect
7. #13120171C2semidirect
8. #13120170C2semidirect
9. #13120169C2semidirect
10. #13120168C2semidirect
11. #13120167C2semidirect
12. #13120166C2semidirect
13. #13120165C2semidirect
14. #13120164C2semidirect
15. #13120163C2semidirect
16. D13×#400C2semidirect
17. D13×#397C2semidirect
18. D13×#397C2semidirect
20. D13×#388C2semidirect
21. D13×#388C2semidirect
22. D13×#387C2semidirect
23. D13×#387C2semidirect
26. D13×#385C2semidirect
27. D13×#383C2semidirect
28. D13×#380C2semidirect
29. C4×C22⋊C4×D13C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2578C2semidirect
53. C13×#400C22semidirect
54. C13×#397C22semidirect
55. C13×#397C22semidirect
57. C13×#388C22semidirect
58. C13×#388C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
63. C13×#385C22semidirect
64. C13×#383C22semidirect
65. C13×#380C22semidirect
66. C4×C13×C22⋊C4C22semidirect
67. C4×C13×C22⋊C4C22semidirect
73. #11718873C22semidirect
74. #11718871C22semidirect
75. C4×C22⋊Dic13C22semidirect
76. C4×C22⋊Dic13C22semidirect
77. #11718654C22semidirect
78. #11718654C22semidirect
80. #11718651C22semidirect
81. #11718651C22semidirect
82. #11718650C22semidirect
83. #11718650C22semidirect
84. #11718648C22semidirect
85. #11718648C22semidirect
86. #11718647C22semidirect
87. #11718643C22semidirect
88. #11718642C22semidirect
89. #11718642C22semidirect
90. #11718639C22semidirect
91. #11718639C22semidirect
102. #11718614C22semidirect
103. #11718614C22semidirect
104. #11718613C22semidirect
105. #11718613C22semidirect
106. #11718613C22semidirect
107. #11718613C22semidirect
108. #11718612C22semidirect
109. #11718612C22semidirect
110. #11718611C22semidirect
111. #11718607C22semidirect
112. #11718606C22semidirect
113. #11718606C22semidirect
114. #11718605C22semidirect
115. #11718605C22semidirect
116. #11718603C22semidirect
117. #11718603C22semidirect
118. C22⋊C4×Dic13C22semidirect
119. C22⋊C4×Dic13C22semidirect
120. C22⋊C4×Dic13C22semidirect
121. C22⋊C4×Dic13C22semidirect
122. #11718601C22semidirect
123. #11718601C22semidirect
124. C4×#6103C22semidirect
125. C4×#6103C22semidirect
126. C4×#6103C22semidirect
127. C4×#6103C22semidirect
128. #11718598C22semidirect
129. #11718594C22semidirect
130. #11718594C22semidirect
131. #11718336C22semidirect
132. #11718336C22semidirect
133. #11718336C22semidirect
134. #11718336C22semidirect
135. #11718335C22semidirect
136. #11718335C22semidirect
138. #11718331C22semidirect
139. #11718331C22semidirect
140. #11718330C22semidirect
141. #11718330C22semidirect
142. #11718329C22semidirect
143. #11718329C22semidirect
144. #11718328C22semidirect
145. #11718328C22semidirect
146. #11718327C22semidirect
147. #11718327C22semidirect
148. #11718327C22semidirect
149. #11718327C22semidirect
168. #11718321C22semidirect
169. #11718321C22semidirect
170. #11718320C22semidirect
171. #11718319C22semidirect
172. #11718319C22semidirect
173. #11718316C22semidirect
174. #11718316C22semidirect
175. #11718315C22semidirect
176. #11718315C22semidirect
177. #11718314C22semidirect
178. #11718314C22semidirect
179. #11718313C22semidirect
180. #11718313C22semidirect
181. #11718312C22semidirect
182. #11718312C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718312C22semidirect
186. #11718312C22semidirect
580. #2578D13direct (N × H)
777. #400C2×D13semidirect
792. #397C2×D13semidirect
793. #397C2×D13semidirect
816. #388C2×D13semidirect
817. #388C2×D13semidirect
832. #387C2×D13semidirect
833. #387C2×D13semidirect
857. #385C2×D13semidirect
865. #383C2×D13semidirect
873. #380C2×D13semidirect
888. C4×C22⋊C4C2×D13semidirect
889. C4×C22⋊C4C2×D13semidirect
1167. D13#2578direct (N × H)
1363. C13C2×#2578semidirect

Maximal subgroups

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

subgroupindex
#131201772
#131201762
#131201752
#131201742
#131201732
#131201722
#131201712
#131201702
#131201692
#131201682
#131201672
#131201662
#131201652
#131201642
#131201632
D13×#4002
D13×#3972
D13×#3942
D13×#3882
D13×#3872
D13×#3862
D13×#3852
D13×#3832
D13×#3802
C4×C22⋊C4×D132
C13×#25782
C2×#257813