Finite Group Databasebeta

← C131×#36847 #45722731

Subgroups — C131×#36847 #45722731

Order 33536.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2854×C131C211yesmaximal, characteristic, complemented
2#2852×C131C211yesmaximal, characteristic, complemented
3#2797×C131C211yesmaximal, characteristic, complemented
4#2790×C131C211yesmaximal, characteristic, complemented
5#2757×C131C211yesmaximal, characteristic, complemented
6#2752×C131C211yesmaximal, characteristic, complemented
7#2749×C131C211yesmaximal, characteristic, complemented
8#2749×C131C211yesmaximal, characteristic, complemented
9#2747×C131C211yesmaximal, characteristic, complemented
10#2738×C131C211yesmaximal, characteristic, complemented
11#2718×C131C211yesmaximal, characteristic, complemented
12#2714×C131C211yesmaximal, characteristic, complemented
13#2703×C131C211yesmaximal, characteristic, complemented
14#2703×C131C211yesmaximal, characteristic, complemented
15#2688×C131C211yesmaximal, characteristic, complemented
16#2688×C131C211yesmaximal, characteristic, complemented
17#2675×C131C211yesmaximal, characteristic, complemented
18#2671×C131C211yesmaximal, characteristic, complemented
19#2661×C131C211yesmaximal, characteristic, complemented
20#2652×C131C211yesmaximal, characteristic, complemented
21#2595×C131C211yesmaximal, characteristic, complemented
22#2573×C131C211yesmaximal, characteristic, complemented
23#2464×C131C211yesmaximal, characteristic, complemented
24#2456×C131C211yesmaximal, characteristic, complemented
25#2456×C131C211yesmaximal, characteristic, complemented
26#2443×C131C211yesmaximal, characteristic, complemented
27#2443×C131C211yesmaximal, characteristic, complemented
28#2422×C131C211yesmaximal, characteristic, complemented
29#2333×C131C211yesmaximal, characteristic, complemented
30#2322×C131C211yesmaximal, characteristic, complemented
31C4×#121×C131C211yesmaximal, characteristic, complemented
32C2×#126×C131C2211yescharacteristic
33C2×#123×C131C2211yescharacteristic
34C2×#123×C131C2211yescharacteristic
35C2×#123×C131C2211yescharacteristic
36C2×#123×C131C2211yescharacteristic
37C2×#123×C131C2211yescharacteristic
38C2×#121×C131C2211yescharacteristic
39C2×#121×C131C2211yescharacteristic
40C2×#121×C131C2211yescharacteristic
41C2×#121×C131C2211yescharacteristic
42C2×#121×C131C2211yescharacteristic
43C2×#121×C131C2211yescharacteristic
44C2×#121×C131C2211yescharacteristic
45C2×#121×C131C2211yescharacteristic
46C2×#121×C131C2211yescharacteristic
47C2×C4×D4×C131C2211yescharacteristic
48C2×C4×D4×C131C2211yescharacteristic
49C2×C4×D4×C131C2211yescharacteristic
50C2×C4×D4×C131C2211yescharacteristic
51C22×C4⋊C4×C131C2211yescharacteristic
52C22×C42×C131C2211yescharacteristic
53#400×C131C2211yescharacteristic
54#400×C131C2211yescharacteristic
55#400×C131C2211yescharacteristic
56#400×C131C2211yescharacteristic
57#400×C131C2211yescharacteristic
58#400×C131C2211yescharacteristic
59#399×C131C2211yescharacteristic
60#399×C131C2211yescharacteristic
61#398×C131C2211yescharacteristic
62#398×C131C2211yescharacteristic
63#398×C131C2211yescharacteristic
64#398×C131C2211yescharacteristic
65#398×C131C2211yescharacteristic
66#397×C131C2211yescharacteristic
67#397×C131C2211yescharacteristic
68#397×C131C2211yescharacteristic
69#397×C131C2211yescharacteristic
70#397×C131C2211yescharacteristic
71#397×C131C2211yescharacteristic
72#397×C131C2211yescharacteristic
73#397×C131C2211yescharacteristic
74#397×C131C2211yescharacteristic
75#397×C131C2211yescharacteristic
76#397×C131C2211yescharacteristic
77#396×C131C2211yescharacteristic
78#396×C131C2211yescharacteristic
79#396×C131C2211yescharacteristic
80#396×C131C2211yescharacteristic
81#394×C131C2211yescharacteristic
82#394×C131C2211yescharacteristic
83#394×C131C2211yescharacteristic
84#394×C131C2211yescharacteristic
85#394×C131C2211yescharacteristic
86#394×C131C2211yescharacteristic
87#394×C131C2211yescharacteristic
88#394×C131C2211yescharacteristic
89#394×C131C2211yescharacteristic
90#392×C131C2211yescharacteristic
91#392×C131C2211yescharacteristic
92#392×C131C2211yescharacteristic
93#392×C131C2211yescharacteristic
94#392×C131C2211yescharacteristic
95#392×C131C2211yescharacteristic
96#392×C131C2211yescharacteristic
97#392×C131C2211yescharacteristic
98#392×C131C2211yescharacteristic
99#392×C131C2211yescharacteristic
100#392×C131C2211yescharacteristic
101#390×C131C2211yescharacteristic
102#390×C131C2211yescharacteristic
103#390×C131C2211yescharacteristic
104#390×C131C2211yescharacteristic
105#390×C131C2211yescharacteristic
106#390×C131C2211yescharacteristic
107#390×C131C2211yescharacteristic
108#390×C131C2211yescharacteristic
109#389×C131C2211yescharacteristic
110#389×C131C2211yescharacteristic
111#389×C131C2211yescharacteristic
112#389×C131C2211yescharacteristic
113#388×C131C2211yescharacteristic
114#388×C131C2211yescharacteristic
115#388×C131C2211yescharacteristic
116#388×C131C2211yescharacteristic
117#388×C131C2211yescharacteristic
118#388×C131C2211yescharacteristic
119#388×C131C2211yescharacteristic
120#388×C131C2211yescharacteristic
121#388×C131C2211yescharacteristic
122#388×C131C2211yescharacteristic
123#388×C131C2211yescharacteristic
124#388×C131C2211yescharacteristic
125#388×C131C2211yescharacteristic
126#388×C131C2211yescharacteristic
127#388×C131C2211yescharacteristic
128#388×C131C2211yescharacteristic
129#388×C131C2211yescharacteristic
130#387×C131C2211yescharacteristic
131#387×C131C2211yescharacteristic
132#387×C131C2211yescharacteristic
133#387×C131C2211yescharacteristic
134#387×C131C2211yescharacteristic
135#387×C131C2211yescharacteristic
136#387×C131C2211yescharacteristic
137#387×C131C2211yescharacteristic
138#387×C131C2211yescharacteristic
139#387×C131C2211yescharacteristic
140#387×C131C2211yescharacteristic
141#386×C131C2211yescharacteristic
142#386×C131C2211yescharacteristic
143#386×C131C2211yescharacteristic
144#386×C131C2211yescharacteristic
145#386×C131C2211yescharacteristic
146#386×C131C2211yescharacteristic
147#386×C131C2211yescharacteristic
148#386×C131C2211yescharacteristic
149#386×C131C2211yescharacteristic
150#386×C131C2211yescharacteristic
151#386×C131C2211yescharacteristic
152#386×C131C2211yescharacteristic
153#386×C131C2211yescharacteristic
154#386×C131C2211yescharacteristic
155#386×C131C2211yescharacteristic
156#386×C131C2211yescharacteristic
157#386×C131C2211yescharacteristic
158#386×C131C2211yescharacteristic
159#386×C131C2211yescharacteristic
160#385×C131C2211yescharacteristic
161#385×C131C2211yescharacteristic
162#385×C131C2211yescharacteristic
163#385×C131C2211yescharacteristic
164#385×C131C2211yescharacteristic
165#385×C131C2211yescharacteristic
166#385×C131C2211yescharacteristic
167#385×C131C2211yescharacteristic
168#385×C131C2211yescharacteristic
169#385×C131C2211yescharacteristic
170#385×C131C2211yescharacteristic
171#385×C131C2211yescharacteristic
172#385×C131C2211yescharacteristic
173#384×C131C2211yescharacteristic
174#383×C131C2211yescharacteristic
175#383×C131C2211yescharacteristic
176#381×C131C2211yescharacteristic
177#381×C131C2211yescharacteristic
178#381×C131C2211yescharacteristic
179#380×C131C2211yescharacteristic
180#380×C131C2211yescharacteristic
181#380×C131C2211yescharacteristic
182C4×C4⋊C4×C131C2211yescharacteristic
183C4×C22⋊C4×C131C2211yescharacteristic
184C4×C22⋊C4×C131C2211yescharacteristic
185C4×C22⋊C4×C131C2211yescharacteristic
186C4×C22⋊C4×C131C2211yescharacteristic
187C22×D4×C131C2311yescharacteristic
188C22×D4×C131C2311yescharacteristic
189C22×D4×C131C2311yescharacteristic
190C22×D4×C131C2311yescharacteristic
191C22×D4×C131C2311yescharacteristic
192C22×D4×C131C2311yescharacteristic
193C22×D4×C131C2311yescharacteristic
194C22×D4×C131C2311yescharacteristic
195C22×D4×C131C2311yescharacteristic
196C22×D4×C131C2311yescharacteristic
197C22×D4×C131C2311yescharacteristic
198C22×D4×C131C2311yescharacteristic
199C22×D4×C131C2311yescharacteristic
200C22×D4×C131C2311yescharacteristic
201C22×D4×C131C2311yescharacteristic
202C23×C4×C131C2311yescharacteristic
203C23×C4×C131C2311yescharacteristic
204C23×C4×C131C2311yescharacteristic
205C23×C4×C131C2311yescharacteristic
206C23×C4×C131C2311yescharacteristic
207C23×C4×C131C2311yescharacteristic
208C23×C4×C131C2311yescharacteristic
209C23×C4×C131C2311yescharacteristic
210C23×C4×C131C2311yescharacteristic
211C23×C4×C131C2311yescharacteristic
212#126×C131—42no—
213#123×C131—24no—
214#123×C131—42no—
215#123×C131—42no—
216#123×C131—42no—
217#123×C131—42no—
218#121×C131—24no—
219#121×C131—24no—
220#121×C131—42no—
221#121×C131—42no—
222#121×C131—42no—
223#121×C131—42no—
224#121×C131—42no—
225#121×C131—42no—
226#121×C131—42no—
227C4×D4×C131—42no—
228C4×D4×C131—42no—
229C4×D4×C131—42no—
230C4×D4×C131—42no—
231C2×C4⋊C4×C131—42no—
232C2×C4⋊C4×C131C2311yescharacteristic
233C2×C4⋊C4×C131C2311yescharacteristic
234C2×C4⋊C4×C131C2311yescharacteristic
235C2×C4⋊C4×C131C2311yescharacteristic
236C2×C4⋊C4×C131C2311yescharacteristic
237C2×C4⋊C4×C131C2311yescharacteristic
238C2×C4⋊C4×C131C2311yescharacteristic
239C2×C4⋊C4×C131C2311yescharacteristic
240C2×C4⋊C4×C131C2311yescharacteristic
241C2×C4⋊C4×C131C2311yescharacteristic
242C2×C4⋊C4×C131C2311yescharacteristic
243C2×C4⋊C4×C131C2311yescharacteristic
244C2×C4⋊C4×C131C2311yescharacteristic
245C2×C4⋊C4×C131C2311yescharacteristic
246C2×C4⋊C4×C131C2311yescharacteristic
247C2×C4⋊C4×C131C2311yescharacteristic
248C2×C4⋊C4×C131C2311yescharacteristic
249C2×C4⋊C4×C131C2311yescharacteristic
250C2×C4⋊C4×C131C2311yescharacteristic
251C2×C4⋊C4×C131C2311yescharacteristic
252C2×C4⋊C4×C131C2311yescharacteristic
253C2×C4⋊C4×C131C2311yescharacteristic
254C2×C4⋊C4×C131C2311yescharacteristic
255C2×C4⋊C4×C131C2311yescharacteristic
256C2×C4⋊C4×C131C2311yescharacteristic
257C2×C4⋊C4×C131C2311yescharacteristic
258C2×C4⋊C4×C131C2311yescharacteristic
259C2×C4⋊C4×C131C2311yescharacteristic
260C2×C4⋊C4×C131C2311yescharacteristic
261C2×C22⋊C4×C131C2311yescharacteristic
262C2×C22⋊C4×C131C2311yescharacteristic
263C2×C22⋊C4×C131C2311yescharacteristic
264C2×C22⋊C4×C131C2311yescharacteristic
265C2×C22⋊C4×C131C2311yescharacteristic
266C2×C22⋊C4×C131C2311yescharacteristic
267C2×C22⋊C4×C131C2311yescharacteristic
268C2×C22⋊C4×C131C2311yescharacteristic
269C2×C22⋊C4×C131C2311yescharacteristic
270C2×C22⋊C4×C131C2311yescharacteristic
271C2×C22⋊C4×C131C2311yescharacteristic
272C2×C22⋊C4×C131C2311yescharacteristic
273C2×C22⋊C4×C131C2311yescharacteristic
274C2×C22⋊C4×C131C2311yescharacteristic
275C2×C22⋊C4×C131C2311yescharacteristic
276C2×C22⋊C4×C131C2311yescharacteristic
277C2×C22⋊C4×C131C2311yescharacteristic
278C2×C22⋊C4×C131C2311yescharacteristic
279C2×C22⋊C4×C131C2311yescharacteristic
280C2×C22⋊C4×C131C2311yescharacteristic
281C2×C22⋊C4×C131C2311yescharacteristic
282C2×C22⋊C4×C131C2311yescharacteristic
283C2×C22⋊C4×C131C2311yescharacteristic
284C2×C22⋊C4×C131C2311yescharacteristic
285C2×C22⋊C4×C131C2311yescharacteristic
286C2×C22⋊C4×C131C2311yescharacteristic
287C2×C22⋊C4×C131C2311yescharacteristic
288C2×C22⋊C4×C131C2311yescharacteristic
289C2×C22⋊C4×C131C2311yescharacteristic
290C2×C22⋊C4×C131C2311yescharacteristic
291C2×C22⋊C4×C131C2311yescharacteristic
292C2×C22⋊C4×C131C2311yescharacteristic
293C2×C22⋊C4×C131C2311yescharacteristic
294C2×C22⋊C4×C131C2311yescharacteristic
295C2×C22⋊C4×C131C2311yescharacteristic
296C2×C22⋊C4×C131C2311yescharacteristic
297C2×C22⋊C4×C131C2311yescharacteristic
298C2×C22⋊C4×C131C2311yescharacteristic
299C2×C22⋊C4×C131C2311yescharacteristic
300C2×C22⋊C4×C131C2311yescharacteristic
301C2×C22⋊C4×C131C2311yescharacteristic
302C2×C22⋊C4×C131C2311yescharacteristic
303C2×C22⋊C4×C131C2311yescharacteristic
304C2×C22⋊C4×C131C2311yescharacteristic
305C2×C22⋊C4×C131C2311yescharacteristic
306C2×C22⋊C4×C131C2311yescharacteristic
307C2×C22⋊C4×C131C2311yescharacteristic
308C2×C22⋊C4×C131C2311yescharacteristic
309C2×C22⋊C4×C131C2311yescharacteristic
310C2×C22⋊C4×C131C2311yescharacteristic
311C2×C42×C131—42no—
312C2×C42×C131C2311yescharacteristic
313C2×C42×C131C2311yescharacteristic
314C2×C42×C131C2311yescharacteristic
315C2×C42×C131C2311yescharacteristic
316C2×C42×C131C2311yescharacteristic
317C2×C42×C131C2311yescharacteristic
318C2×C42×C131C2311yescharacteristic
319C2×C42×C131C2311yescharacteristic
320C2×C42×C131C2311yescharacteristic
321#95×C131C2311yescharacteristic
322#95×C131C2311yescharacteristic
323#95×C131C2311yescharacteristic
324#95×C131C2311yescharacteristic
325#95×C131C2311yescharacteristic
326#95×C131C2311yescharacteristic
327#95×C131C2311yescharacteristic
328#95×C131C2311yescharacteristic
329#95×C131C2311yescharacteristic
330#95×C131C2311yescharacteristic
331#95×C131C2311yescharacteristic
332#95×C131C2311yescharacteristic
333#95×C131C2311yescharacteristic
334#95×C131C2311yescharacteristic
335#95×C131C2311yescharacteristic
336#95×C131C2311yescharacteristic
337#95×C131C2311yescharacteristic
338#95×C131C2311yescharacteristic
339#95×C131C2311yescharacteristic
340#95×C131C2311yescharacteristic
341#95×C131C2311yescharacteristic
342#95×C131C2311yescharacteristic
343#95×C131C2311yescharacteristic
344#95×C131C2311yescharacteristic
345#95×C131C2311yescharacteristic
346#95×C131C2311yescharacteristic
347#95×C131C2311yescharacteristic
348#95×C131C2311yescharacteristic
349#95×C131C2311yescharacteristic
350#95×C131C2311yescharacteristic
351#95×C131C2311yescharacteristic
352#95×C131C2311yescharacteristic
353#95×C131C2311yescharacteristic
354#95×C131C2311yescharacteristic
355#95×C131C2311yescharacteristic
356#95×C131C2311yescharacteristic
357#95×C131C2311yescharacteristic
358#95×C131C2311yescharacteristic
359#95×C131C2311yescharacteristic
360#95×C131C2311yescharacteristic
361#95×C131C2311yescharacteristic
362#95×C131C2311yescharacteristic
363C24×C131C2411yescharacteristic
364C24×C131C2411yescharacteristic
365C24×C131C2411yescharacteristic
366C24×C131C2411yescharacteristic
367C24×C131C2411yescharacteristic
368C24×C131C2411yescharacteristic
369C2×D4×C131—22no—
370C2×D4×C131—22no—
371C2×D4×C131—22no—
372C2×D4×C131—22no—
373C2×D4×C131—22no—
374C2×D4×C131—22no—
375C2×D4×C131—22no—
376C2×D4×C131—22no—
377C2×D4×C131—22no—
378C2×D4×C131—22no—
379C2×D4×C131—22no—
380C2×D4×C131—22no—
381C2×D4×C131—22no—
382C2×D4×C131—41no—
383C2×D4×C131—41no—
384C2×D4×C131—41no—
385C2×D4×C131—41no—
386C2×D4×C131—41no—
387C2×D4×C131—41no—
388C2×D4×C131—41no—
389C2×D4×C131—41no—
390C2×D4×C131—41no—
391C2×D4×C131—41no—
392C2×D4×C131—41no—
393C2×D4×C131—41no—
394C2×D4×C131—41no—
395C2×D4×C131—41no—
396C2×D4×C131—41no—
397C2×D4×C131—41no—
398C2×D4×C131—41no—
399C2×D4×C131—41no—
400C2×D4×C131—41no—
401C2×D4×C131—41no—
402C2×D4×C131—41no—
403C2×D4×C131—41no—
404C2×D4×C131—41no—
405C2×D4×C131—41no—
406C2×D4×C131—41no—
407C2×D4×C131—41no—
408C2×D4×C131—41no—
409C2×D4×C131—41no—
410C2×D4×C131—41no—
411C2×D4×C131—41no—
412C2×D4×C131—41no—
413C2×D4×C131—41no—
414C22×C4×C131—22no—
415C22×C4×C131—22no—
416C22×C4×C131—22no—
417C22×C4×C131—22no—
418C22×C4×C131—22no—
419C22×C4×C131—22no—
420C22×C4×C131—22no—
421C22×C4×C131—22no—
422C22×C4×C131—41no—
423C22×C4×C131—41no—
424C22×C4×C131—41no—
425C22×C4×C131—41no—
426C22×C4×C131—41no—
427C22×C4×C131—41no—
428C22×C4×C131—41no—
429C22×C4×C131—41no—
430C22×C4×C131—41no—
431C22×C4×C131—41no—
432C22×C4×C131—41no—
433C22×C4×C131—41no—
434C22×C4×C131—41no—
435C22×C4×C131—41no—
436C22×C4×C131—41no—
437C22×C4×C131—41no—
438C22×C4×C131—41no—
439C22×C4×C131—41no—
440C22×C4×C131—41no—
441C22×C4×C131—41no—
442C22×C4×C131—41no—
443C22×C4×C131—41no—
444C22×C4×C131C2411yescharacteristic
445C22×C4×C131C2411yescharacteristic
446C22×C4×C131C2411yescharacteristic
447C22×C4×C131C2411yescharacteristic
448C22×C4×C131C2411yescharacteristic
449C22×C4×C131C2411yescharacteristic
450C22×C4×C131C2411yescharacteristic
451C22×C4×C131C2411yescharacteristic
452C22×C4×C131C2411yescharacteristic
453C22×C4×C131C2411yescharacteristic
454C22×C4×C131C2411yescharacteristic
455C22×C4×C131C2411yescharacteristic
456C22×C4×C131C2411yescharacteristic
457C22×C4×C131C2411yescharacteristic
458C22×C4×C131C2411yescharacteristic
459C22×C4×C131C2411yescharacteristic
460C22×C4×C131C2411yescharacteristic
461C22×C4×C131C2411yescharacteristic
462C22×C4×C131C2411yescharacteristic
463C22×C4×C131C2411yescharacteristic
464C22×C4×C131C2411yescharacteristic
465C22×C4×C131C2411yescharacteristic
466C22×C4×C131C2411yescharacteristic
467C22×C4×C131C2411yescharacteristic
468C22×C4×C131C2411yescharacteristic
469C4⋊C4×C131—22no—
470C4⋊C4×C131—22no—
471C4⋊C4×C131—22no—
472C4⋊C4×C131—22no—
473C4⋊C4×C131—22no—
474C4⋊C4×C131—22no—
475C4⋊C4×C131—22no—
476C4⋊C4×C131—22no—
477C4⋊C4×C131—22no—
478C4⋊C4×C131—41no—
479C4⋊C4×C131—41no—
480C4⋊C4×C131—41no—
481C4⋊C4×C131—41no—
482C4⋊C4×C131—41no—
483C4⋊C4×C131—41no—
484C4⋊C4×C131—41no—
485C4⋊C4×C131—41no—
486C4⋊C4×C131—41no—
487C4⋊C4×C131—41no—
488C4⋊C4×C131—41no—
489C4⋊C4×C131—41no—
490C4⋊C4×C131—41no—
491C4⋊C4×C131—41no—
492C4⋊C4×C131—41no—
493C4⋊C4×C131—41no—
494C4⋊C4×C131—41no—
495C4⋊C4×C131—41no—
496C4⋊C4×C131—41no—
497C4⋊C4×C131—41no—
498C22⋊C4×C131—22no—
499C22⋊C4×C131—22no—
500C22⋊C4×C131—22no—
501C22⋊C4×C131—22no—
502C22⋊C4×C131—22no—
503C22⋊C4×C131—22no—
504C22⋊C4×C131—22no—
505C22⋊C4×C131—22no—
506C22⋊C4×C131—22no—
507C22⋊C4×C131—22no—
508C22⋊C4×C131—22no—
509C22⋊C4×C131—22no—
510C22⋊C4×C131—22no—
511C22⋊C4×C131—41no—
512C22⋊C4×C131—41no—
513C22⋊C4×C131—41no—
514C22⋊C4×C131—41no—
515C22⋊C4×C131—41no—
516C22⋊C4×C131—41no—
517C22⋊C4×C131—41no—
518C22⋊C4×C131—41no—
519C22⋊C4×C131—41no—
520C22⋊C4×C131—41no—
521C22⋊C4×C131—41no—
522C22⋊C4×C131—41no—
523C22⋊C4×C131—41no—
524C22⋊C4×C131—41no—
525C22⋊C4×C131—41no—
526C22⋊C4×C131—41no—
527C22⋊C4×C131—41no—
528C22⋊C4×C131—41no—
529C22⋊C4×C131—41no—
530C22⋊C4×C131—41no—
531C22⋊C4×C131—41no—
532C22⋊C4×C131—41no—
533C22⋊C4×C131—41no—
534C22⋊C4×C131—41no—
535C22⋊C4×C131—41no—
536C22⋊C4×C131—41no—
537C22⋊C4×C131—41no—
538C22⋊C4×C131—41no—
539C22⋊C4×C131—41no—
540C22⋊C4×C131—41no—
541C22⋊C4×C131—41no—
542C22⋊C4×C131—41no—
543C22⋊C4×C131—41no—
544C22⋊C4×C131—41no—
545C22⋊C4×C131—41no—
546C22⋊C4×C131—41no—
547C22⋊C4×C131#4114yes—
548C42×C131—22no—
549C42×C131—22no—
550C42×C131—41no—
551C42×C131—41no—
552C42×C131—41no—
553C42×C131—41no—
554C42×C131—41no—
555C42×C131—41no—
556C42×C131—41no—
557C23×C131—21no—
558C23×C131—21no—
559C23×C131—21no—
560C23×C131—21no—
561C23×C131—21no—
562C23×C131—21no—
563C23×C131—21no—
564C23×C131—21no—
565C23×C131—21no—
566C23×C131—21no—
567C23×C131—21no—
568C23×C131—21no—
569C23×C131—21no—
570C23×C131—21no—
571C23×C131—21no—
572C23×C131—21no—
573C23×C131—21no—
574C23×C131—21no—
575C23×C131—21no—
576C23×C131—21no—
577C23×C131—21no—
578C23×C131—21no—
579C23×C131—21no—
580C23×C131—21no—
581C23×C131—21no—
582C23×C131—21no—
583C23×C131—21no—
584C23×C131—21no—
585C23×C131—21no—
586C23×C131—21no—
587C23×C131—21no—
588C23×C131—21no—
589C23×C131—21no—
590C23×C131—21no—
591C23×C131—21no—
592C23×C131—21no—
593C23×C131—21no—
594C23×C131—21no—
595C23×C131—21no—
596C23×C131—21no—
597C23×C131C2×#4112yes—
598C23×C131H(5,𝔽2)12yes—
599C23×C131C2511yescharacteristic
600D4×C131—44no—
601D4×C131—44no—
602D4×C131—44no—
603D4×C131—44no—
604D4×C131—82no—
605D4×C131—82no—
606D4×C131—82no—
607D4×C131—82no—
608D4×C131—82no—
609D4×C131—82no—
610D4×C131—82no—
611D4×C131—82no—
612D4×C131—82no—
613D4×C131—82no—
614D4×C131—82no—
615C2×C4×C131—21no—
616C2×C4×C131—21no—
617C2×C4×C131—21no—
618C2×C4×C131—21no—
619C2×C4×C131—21no—
620C2×C4×C131—21no—
621C2×C4×C131—21no—
622C2×C4×C131—21no—
623C2×C4×C131—21no—
624C2×C4×C131—21no—
625C2×C4×C131—21no—
626C2×C4×C131—21no—
627C2×C4×C131—21no—
628C2×C4×C131—21no—
629C2×C4×C131—21no—
630C2×C4×C131—21no—
631C2×C4×C131—21no—
632C2×C4×C131—21no—
633C2×C4×C131—21no—
634C2×C4×C131—21no—
635C2×C4×C131—21no—
636C2×C4×C131—21no—
637C2×C4×C131—21no—
638C2×C4×C131—21no—
639C2×C4×C131—21no—
640C2×C4×C131—21no—
641C2×C4×C131—21no—
642C2×C4×C131—21no—
643C2×C4×C131—21no—
644C2×C4×C131—21no—
645C2×C4×C131—21no—
646C2×C4×C131—21no—
647C2×C4×C131—21no—
648C2×C4×C131—21no—
649C2×C4×C131—21no—
650C2×C4×C131—21no—
651C2×C4×C131—21no—
652C2×C4×C131—21no—
653C2×C4×C131—21no—
654C2×C4×C131—21no—
655C2×C4×C131—21no—
656C2×C4×C131—21no—
657C2×C4×C131—21no—
658C2×C4×C131—21no—
659C2×C4×C131—21no—
660C2×C4×C131—21no—
661C2×C4×C131—21no—
662C2×C4×C131—21no—
663C2×C4×C131—21no—
664C2×C4×C131—21no—
665C2×C4×C131—21no—
666C2×C4×C131—21no—
667C2×C4×C131—21no—
668C2×C4×C131—21no—
669C2×C4×C131—21no—
670C2×C4×C131—21no—
671C2×C4×C131—21no—
672C2×C4×C131—21no—
673C2×C4×C131—21no—
674C2×C4×C131—21no—
675C2×C4×C131—21no—
676C2×C4×C131—21no—
677C2×C4×C131—21no—
678C2×C4×C131—21no—
679C2×C4×C131—21no—
680C2×C4×C131—21no—
681C2×C4×C131—21no—
682C2×C4×C131—21no—
683C2×C4×C131—21no—
684C2×C4×C131—21no—
685C2×C4×C131—21no—
686C2×C4×C131—44no—
687C2×C4×C131—44no—
688C2×C4×C131—44no—
689C2×C4×C131—44no—
690C2×C4×C131—82no—
691C2×C4×C131—82no—
692C2×C4×C131—82no—
693C2×C4×C131—82no—
694C2×C4×C131—82no—
695C2×C4×C131—82no—
696C2×C4×C131C2×#4112yes—
697C2×C4×C131C2×#4112yes—
698C2×C4×C131H(5,𝔽2)12yes—
699C2×C4×C131H(5,𝔽2)12yes—
700C22×C131—22no—
701C22×C131—22no—
702C22×C131—22no—
703C22×C131—22no—
704C22×C131—22no—
705C22×C131—22no—
706C22×C131—41no—
707C22×C131—41no—
708C22×C131—41no—
709C22×C131—41no—
710C22×C131—41no—
711C22×C131—41no—
712C22×C131—41no—
713C22×C131—41no—
714C22×C131—41no—
715C22×C131—41no—
716C22×C131—41no—
717C22×C131—41no—
718C22×C131—41no—
719C22×C131—41no—
720C22×C131—41no—
721C22×C131—41no—
722C22×C131—41no—
723C22×C131—41no—
724C22×C131—41no—
725C22×C131—41no—
726C22×C131—41no—
727C22×C131—41no—
728C22×C131—41no—
729C22×C131—41no—
730C22×C131—41no—
731C22×C131—41no—
732C22×C131—41no—
733C22×C131—41no—
734C22×C131—41no—
735C22×C131—41no—
736C22×C131—41no—
737C22×C131—41no—
738C22×C131—41no—
739C22×C131—41no—
740C22×C131—41no—
741C22×C131—41no—
742C22×C131C22×#4111yescharacteristic
743C22×C131C2×H(5,𝔽2)11yescharacteristic
744C22×C131C2×H(5,𝔽2)11yescharacteristic
745C22×C131C2×H(5,𝔽2)11yescharacteristic
746C22×C131#58511yescharacteristic
747C22×C131#58511yescharacteristic
748C22×C131#58511yescharacteristic
749C4×C131—22no—
750C4×C131—22no—
751C4×C131—22no—
752C4×C131—22no—
753C4×C131—41no—
754C4×C131—41no—
755C4×C131—41no—
756C4×C131—41no—
757C4×C131—41no—
758C4×C131—41no—
759C4×C131—41no—
760C4×C131—41no—
761C4×C131—41no—
762C4×C131—41no—
763C4×C131—41no—
764C4×C131—41no—
765C4×C131—41no—
766C4×C131—41no—
767C4×C131—41no—
768C4×C131—41no—
769C4×C131—41no—
770C4×C131—41no—
771C4×C131—41no—
772C4×C131—41no—
773C4×C131—41no—
774C2×C131—42no—
775C2×C131—42no—
776C2×C131—81no—
777C2×C131—81no—
778C2×C131—81no—
779C2×C131—81no—
780C2×C131#346011yescharacteristic
781C2×C131#351311yescharacteristic
782C2×C131#351311yescharacteristic
783C2×C131#353711yescharacteristic
784C2×C131#353911yescharacteristic
785C2×C131#356011yescharacteristic
786C2×C131#356211yescharacteristic
787#36847C13111yesmaximal, characteristic, direct product factor, Sylow
788C131#3684711yescharacteristic, direct product factor, Sylow
789#2854C2×C13111yescharacteristic, complemented
790#2852C2×C13111yescharacteristic, complemented
791#2797C2×C13111yescharacteristic, complemented
792#2790C2×C13111yescharacteristic, complemented
793#2757C2×C13111yescharacteristic, complemented
794#2752C2×C13111yescharacteristic, complemented
795#2749C2×C13111yescharacteristic, complemented
796#2749C2×C13111yescharacteristic, complemented
797#2747C2×C13111yescharacteristic, complemented
798#2738C2×C13111yescharacteristic, complemented
799#2718C2×C13111yescharacteristic, complemented
800#2714C2×C13111yescharacteristic, complemented
801#2703C2×C13111yescharacteristic, complemented
802#2703C2×C13111yescharacteristic, complemented
803#2688C2×C13111yescharacteristic, complemented
804#2688C2×C13111yescharacteristic, complemented
805#2675C2×C13111yescharacteristic, complemented
806#2671C2×C13111yescharacteristic, complemented
807#2661C2×C13111yescharacteristic, complemented
808#2652C2×C13111yescharacteristic, complemented
809#2595C2×C13111yescharacteristic, complemented
810#2573C2×C13111yescharacteristic, complemented
811#2464C2×C13111yescharacteristic, complemented
812#2456C2×C13111yescharacteristic, complemented
813#2456C2×C13111yescharacteristic, complemented
814#2443C2×C13111yescharacteristic, complemented
815#2443C2×C13111yescharacteristic, complemented
816#2422C2×C13111yescharacteristic, complemented
817#2333C2×C13111yescharacteristic, complemented
818#2322C2×C13111yescharacteristic, complemented
819C4×#121C2×C13111yescharacteristic, complemented
820C2×#126C22×C13111yescharacteristic
821C2×#123C22×C13111yescharacteristic
822C2×#123C22×C13111yescharacteristic
823C2×#123C22×C13111yescharacteristic
824C2×#123C22×C13111yescharacteristic
825C2×#123C22×C13111yescharacteristic
826C2×#121C22×C13111yescharacteristic
827C2×#121C22×C13111yescharacteristic
828C2×#121C22×C13111yescharacteristic
829C2×#121C22×C13111yescharacteristic
830C2×#121C22×C13111yescharacteristic
831C2×#121C22×C13111yescharacteristic
832C2×#121C22×C13111yescharacteristic
833C2×#121C22×C13111yescharacteristic
834C2×#121C22×C13111yescharacteristic
835C2×C4×D4C22×C13111yescharacteristic
836C2×C4×D4C22×C13111yescharacteristic
837C2×C4×D4C22×C13111yescharacteristic
838C2×C4×D4C22×C13111yescharacteristic
839C22×C4⋊C4C22×C13111yescharacteristic
840C22×C42C22×C13111yescharacteristic
841#400C22×C13111yescharacteristic
842#400C22×C13111yescharacteristic
843#400C22×C13111yescharacteristic
844#400C22×C13111yescharacteristic
845#400C22×C13111yescharacteristic
846#400C22×C13111yescharacteristic
847#399C22×C13111yescharacteristic
848#399C22×C13111yescharacteristic
849#398C22×C13111yescharacteristic
850#398C22×C13111yescharacteristic
851#398C22×C13111yescharacteristic
852#398C22×C13111yescharacteristic
853#398C22×C13111yescharacteristic
854#397C22×C13111yescharacteristic
855#397C22×C13111yescharacteristic
856#397C22×C13111yescharacteristic
857#397C22×C13111yescharacteristic
858#397C22×C13111yescharacteristic
859#397C22×C13111yescharacteristic
860#397C22×C13111yescharacteristic
861#397C22×C13111yescharacteristic
862#397C22×C13111yescharacteristic
863#397C22×C13111yescharacteristic
864#397C22×C13111yescharacteristic
865#396C22×C13111yescharacteristic
866#396C22×C13111yescharacteristic
867#396C22×C13111yescharacteristic
868#396C22×C13111yescharacteristic
869#394C22×C13111yescharacteristic
870#394C22×C13111yescharacteristic
871#394C22×C13111yescharacteristic
872#394C22×C13111yescharacteristic
873#394C22×C13111yescharacteristic
874#394C22×C13111yescharacteristic
875#394C22×C13111yescharacteristic
876#394C22×C13111yescharacteristic
877#394C22×C13111yescharacteristic
878#392C22×C13111yescharacteristic
879#392C22×C13111yescharacteristic
880#392C22×C13111yescharacteristic
881#392C22×C13111yescharacteristic
882#392C22×C13111yescharacteristic
883#392C22×C13111yescharacteristic
884#392C22×C13111yescharacteristic
885#392C22×C13111yescharacteristic
886#392C22×C13111yescharacteristic
887#392C22×C13111yescharacteristic
888#392C22×C13111yescharacteristic
889#390C22×C13111yescharacteristic
890#390C22×C13111yescharacteristic
891#390C22×C13111yescharacteristic
892#390C22×C13111yescharacteristic
893#390C22×C13111yescharacteristic
894#390C22×C13111yescharacteristic
895#390C22×C13111yescharacteristic
896#390C22×C13111yescharacteristic
897#389C22×C13111yescharacteristic
898#389C22×C13111yescharacteristic
899#389C22×C13111yescharacteristic
900#389C22×C13111yescharacteristic
901#388C22×C13111yescharacteristic
902#388C22×C13111yescharacteristic
903#388C22×C13111yescharacteristic
904#388C22×C13111yescharacteristic
905#388C22×C13111yescharacteristic
906#388C22×C13111yescharacteristic
907#388C22×C13111yescharacteristic
908#388C22×C13111yescharacteristic
909#388C22×C13111yescharacteristic
910#388C22×C13111yescharacteristic
911#388C22×C13111yescharacteristic
912#388C22×C13111yescharacteristic
913#388C22×C13111yescharacteristic
914#388C22×C13111yescharacteristic
915#388C22×C13111yescharacteristic
916#388C22×C13111yescharacteristic
917#388C22×C13111yescharacteristic
918#387C22×C13111yescharacteristic
919#387C22×C13111yescharacteristic
920#387C22×C13111yescharacteristic
921#387C22×C13111yescharacteristic
922#387C22×C13111yescharacteristic
923#387C22×C13111yescharacteristic
924#387C22×C13111yescharacteristic
925#387C22×C13111yescharacteristic
926#387C22×C13111yescharacteristic
927#387C22×C13111yescharacteristic
928#387C22×C13111yescharacteristic
929#386C22×C13111yescharacteristic
930#386C22×C13111yescharacteristic
931#386C22×C13111yescharacteristic
932#386C22×C13111yescharacteristic
933#386C22×C13111yescharacteristic
934#386C22×C13111yescharacteristic
935#386C22×C13111yescharacteristic
936#386C22×C13111yescharacteristic
937#386C22×C13111yescharacteristic
938#386C22×C13111yescharacteristic
939#386C22×C13111yescharacteristic
940#386C22×C13111yescharacteristic
941#386C22×C13111yescharacteristic
942#386C22×C13111yescharacteristic
943#386C22×C13111yescharacteristic
944#386C22×C13111yescharacteristic
945#386C22×C13111yescharacteristic
946#386C22×C13111yescharacteristic
947#386C22×C13111yescharacteristic
948#385C22×C13111yescharacteristic
949#385C22×C13111yescharacteristic
950#385C22×C13111yescharacteristic
951#385C22×C13111yescharacteristic
952#385C22×C13111yescharacteristic
953#385C22×C13111yescharacteristic
954#385C22×C13111yescharacteristic
955#385C22×C13111yescharacteristic
956#385C22×C13111yescharacteristic
957#385C22×C13111yescharacteristic
958#385C22×C13111yescharacteristic
959#385C22×C13111yescharacteristic
960#385C22×C13111yescharacteristic
961#384C22×C13111yescharacteristic
962#383C22×C13111yescharacteristic
963#383C22×C13111yescharacteristic
964#381C22×C13111yescharacteristic
965#381C22×C13111yescharacteristic
966#381C22×C13111yescharacteristic
967#380C22×C13111yescharacteristic
968#380C22×C13111yescharacteristic
969#380C22×C13111yescharacteristic
970C4×C4⋊C4C22×C13111yescharacteristic
971C4×C22⋊C4C22×C13111yescharacteristic
972C4×C22⋊C4C22×C13111yescharacteristic
973C4×C22⋊C4C22×C13111yescharacteristic
974C4×C22⋊C4C22×C13111yescharacteristic
975C22×D4C23×C13111yescharacteristic
976C22×D4C23×C13111yescharacteristic
977C22×D4C23×C13111yescharacteristic
978C22×D4C23×C13111yescharacteristic
979C22×D4C23×C13111yescharacteristic
980C22×D4C23×C13111yescharacteristic
981C22×D4C23×C13111yescharacteristic
982C22×D4C23×C13111yescharacteristic
983C22×D4C23×C13111yescharacteristic
984C22×D4C23×C13111yescharacteristic
985C22×D4C23×C13111yescharacteristic
986C22×D4C23×C13111yescharacteristic
987C22×D4C23×C13111yescharacteristic
988C22×D4C23×C13111yescharacteristic
989C22×D4C23×C13111yescharacteristic
990C23×C4C23×C13111yescharacteristic
991C23×C4C23×C13111yescharacteristic
992C23×C4C23×C13111yescharacteristic
993C23×C4C23×C13111yescharacteristic
994C23×C4C23×C13111yescharacteristic
995C23×C4C23×C13111yescharacteristic
996C23×C4C23×C13111yescharacteristic
997C23×C4C23×C13111yescharacteristic
998C23×C4C23×C13111yescharacteristic
999C23×C4C23×C13111yescharacteristic
1000#126—42no—
1001#123—24no—
1002#123—42no—
1003#123—42no—
1004#123—42no—
1005#123—42no—
1006#121—24no—
1007#121—24no—
1008#121—42no—
1009#121—42no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C2×C4⋊C4—42no—
1020C2×C4⋊C4C23×C13111yescharacteristic
1021C2×C4⋊C4C23×C13111yescharacteristic
1022C2×C4⋊C4C23×C13111yescharacteristic
1023C2×C4⋊C4C23×C13111yescharacteristic
1024C2×C4⋊C4C23×C13111yescharacteristic
1025C2×C4⋊C4C23×C13111yescharacteristic
1026C2×C4⋊C4C23×C13111yescharacteristic
1027C2×C4⋊C4C23×C13111yescharacteristic
1028C2×C4⋊C4C23×C13111yescharacteristic
1029C2×C4⋊C4C23×C13111yescharacteristic
1030C2×C4⋊C4C23×C13111yescharacteristic
1031C2×C4⋊C4C23×C13111yescharacteristic
1032C2×C4⋊C4C23×C13111yescharacteristic
1033C2×C4⋊C4C23×C13111yescharacteristic
1034C2×C4⋊C4C23×C13111yescharacteristic
1035C2×C4⋊C4C23×C13111yescharacteristic
1036C2×C4⋊C4C23×C13111yescharacteristic
1037C2×C4⋊C4C23×C13111yescharacteristic
1038C2×C4⋊C4C23×C13111yescharacteristic
1039C2×C4⋊C4C23×C13111yescharacteristic
1040C2×C4⋊C4C23×C13111yescharacteristic
1041C2×C4⋊C4C23×C13111yescharacteristic
1042C2×C4⋊C4C23×C13111yescharacteristic
1043C2×C4⋊C4C23×C13111yescharacteristic
1044C2×C4⋊C4C23×C13111yescharacteristic
1045C2×C4⋊C4C23×C13111yescharacteristic
1046C2×C4⋊C4C23×C13111yescharacteristic
1047C2×C4⋊C4C23×C13111yescharacteristic
1048C2×C4⋊C4C23×C13111yescharacteristic
1049C2×C22⋊C4C23×C13111yescharacteristic
1050C2×C22⋊C4C23×C13111yescharacteristic
1051C2×C22⋊C4C23×C13111yescharacteristic
1052C2×C22⋊C4C23×C13111yescharacteristic
1053C2×C22⋊C4C23×C13111yescharacteristic
1054C2×C22⋊C4C23×C13111yescharacteristic
1055C2×C22⋊C4C23×C13111yescharacteristic
1056C2×C22⋊C4C23×C13111yescharacteristic
1057C2×C22⋊C4C23×C13111yescharacteristic
1058C2×C22⋊C4C23×C13111yescharacteristic
1059C2×C22⋊C4C23×C13111yescharacteristic
1060C2×C22⋊C4C23×C13111yescharacteristic
1061C2×C22⋊C4C23×C13111yescharacteristic
1062C2×C22⋊C4C23×C13111yescharacteristic
1063C2×C22⋊C4C23×C13111yescharacteristic
1064C2×C22⋊C4C23×C13111yescharacteristic
1065C2×C22⋊C4C23×C13111yescharacteristic
1066C2×C22⋊C4C23×C13111yescharacteristic
1067C2×C22⋊C4C23×C13111yescharacteristic
1068C2×C22⋊C4C23×C13111yescharacteristic
1069C2×C22⋊C4C23×C13111yescharacteristic
1070C2×C22⋊C4C23×C13111yescharacteristic
1071C2×C22⋊C4C23×C13111yescharacteristic
1072C2×C22⋊C4C23×C13111yescharacteristic
1073C2×C22⋊C4C23×C13111yescharacteristic
1074C2×C22⋊C4C23×C13111yescharacteristic
1075C2×C22⋊C4C23×C13111yescharacteristic
1076C2×C22⋊C4C23×C13111yescharacteristic
1077C2×C22⋊C4C23×C13111yescharacteristic
1078C2×C22⋊C4C23×C13111yescharacteristic
1079C2×C22⋊C4C23×C13111yescharacteristic
1080C2×C22⋊C4C23×C13111yescharacteristic
1081C2×C22⋊C4C23×C13111yescharacteristic
1082C2×C22⋊C4C23×C13111yescharacteristic
1083C2×C22⋊C4C23×C13111yescharacteristic
1084C2×C22⋊C4C23×C13111yescharacteristic
1085C2×C22⋊C4C23×C13111yescharacteristic
1086C2×C22⋊C4C23×C13111yescharacteristic
1087C2×C22⋊C4C23×C13111yescharacteristic
1088C2×C22⋊C4C23×C13111yescharacteristic
1089C2×C22⋊C4C23×C13111yescharacteristic
1090C2×C22⋊C4C23×C13111yescharacteristic
1091C2×C22⋊C4C23×C13111yescharacteristic
1092C2×C22⋊C4C23×C13111yescharacteristic
1093C2×C22⋊C4C23×C13111yescharacteristic
1094C2×C22⋊C4C23×C13111yescharacteristic
1095C2×C22⋊C4C23×C13111yescharacteristic
1096C2×C22⋊C4C23×C13111yescharacteristic
1097C2×C22⋊C4C23×C13111yescharacteristic
1098C2×C22⋊C4C23×C13111yescharacteristic
1099C2×C42—42no—
1100C2×C42C23×C13111yescharacteristic
1101C2×C42C23×C13111yescharacteristic
1102C2×C42C23×C13111yescharacteristic
1103C2×C42C23×C13111yescharacteristic
1104C2×C42C23×C13111yescharacteristic
1105C2×C42C23×C13111yescharacteristic
1106C2×C42C23×C13111yescharacteristic
1107C2×C42C23×C13111yescharacteristic
1108C2×C42C23×C13111yescharacteristic
1109#95C23×C13111yescharacteristic
1110#95C23×C13111yescharacteristic
1111#95C23×C13111yescharacteristic
1112#95C23×C13111yescharacteristic
1113#95C23×C13111yescharacteristic
1114#95C23×C13111yescharacteristic
1115#95C23×C13111yescharacteristic
1116#95C23×C13111yescharacteristic
1117#95C23×C13111yescharacteristic
1118#95C23×C13111yescharacteristic
1119#95C23×C13111yescharacteristic
1120#95C23×C13111yescharacteristic
1121#95C23×C13111yescharacteristic
1122#95C23×C13111yescharacteristic
1123#95C23×C13111yescharacteristic
1124#95C23×C13111yescharacteristic
1125#95C23×C13111yescharacteristic
1126#95C23×C13111yescharacteristic
1127#95C23×C13111yescharacteristic
1128#95C23×C13111yescharacteristic
1129#95C23×C13111yescharacteristic
1130#95C23×C13111yescharacteristic
1131#95C23×C13111yescharacteristic
1132#95C23×C13111yescharacteristic
1133#95C23×C13111yescharacteristic
1134#95C23×C13111yescharacteristic
1135#95C23×C13111yescharacteristic
1136#95C23×C13111yescharacteristic
1137#95C23×C13111yescharacteristic
1138#95C23×C13111yescharacteristic
1139#95C23×C13111yescharacteristic
1140#95C23×C13111yescharacteristic
1141#95C23×C13111yescharacteristic
1142#95C23×C13111yescharacteristic
1143#95C23×C13111yescharacteristic
1144#95C23×C13111yescharacteristic
1145#95C23×C13111yescharacteristic
1146#95C23×C13111yescharacteristic
1147#95C23×C13111yescharacteristic
1148#95C23×C13111yescharacteristic
1149#95C23×C13111yescharacteristic
1150#95C23×C13111yescharacteristic
1151C24C24×C13111yescharacteristic
1152C24C24×C13111yescharacteristic
1153C24C24×C13111yescharacteristic
1154C24C24×C13111yescharacteristic
1155C24C24×C13111yescharacteristic
1156C24C24×C13111yescharacteristic
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4C24×C13111yescharacteristic
1233C22×C4C24×C13111yescharacteristic
1234C22×C4C24×C13111yescharacteristic
1235C22×C4C24×C13111yescharacteristic
1236C22×C4C24×C13111yescharacteristic
1237C22×C4C24×C13111yescharacteristic
1238C22×C4C24×C13111yescharacteristic
1239C22×C4C24×C13111yescharacteristic
1240C22×C4C24×C13111yescharacteristic
1241C22×C4C24×C13111yescharacteristic
1242C22×C4C24×C13111yescharacteristic
1243C22×C4C24×C13111yescharacteristic
1244C22×C4C24×C13111yescharacteristic
1245C22×C4C24×C13111yescharacteristic
1246C22×C4C24×C13111yescharacteristic
1247C22×C4C24×C13111yescharacteristic
1248C22×C4C24×C13111yescharacteristic
1249C22×C4C24×C13111yescharacteristic
1250C22×C4C24×C13111yescharacteristic
1251C22×C4C24×C13111yescharacteristic
1252C22×C4C24×C13111yescharacteristic
1253C22×C4C24×C13111yescharacteristic
1254C22×C4C24×C13111yescharacteristic
1255C22×C4C24×C13111yescharacteristic
1256C22×C4C24×C13111yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
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—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4#41×C13114yes—
1336C42—22no—
1337C42—22no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
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—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C2×#41×C13112yes—
1386C23H(5,𝔽2)×C13112yes—
1387C23C25×C13111yescharacteristic
1388D4—44no—
1389D4—44no—
1390D4—44no—
1391D4—44no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
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—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—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4C2×#41×C13112yes—
1485C2×C4C2×#41×C13112yes—
1486C2×C4H(5,𝔽2)×C13112yes—
1487C2×C4H(5,𝔽2)×C13112yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22C22×#41×C13111yescharacteristic
1531C22C2×H(5,𝔽2)×C13111yescharacteristic
1532C22C2×H(5,𝔽2)×C13111yescharacteristic
1533C22C2×H(5,𝔽2)×C13111yescharacteristic
1534C22#585×C13111yescharacteristic
1535C22#585×C13111yescharacteristic
1536C22#585×C13111yescharacteristic
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2#3460×C13111yescharacteristic
1569C2#3513×C13111yescharacteristic
1570C2#3513×C13111yescharacteristic
1571C2#3537×C13111yescharacteristic
1572C2#3539×C13111yescharacteristic
1573C2#3560×C13111yescharacteristic
1574C2#3562×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C25
commutator, Frattini, cosocleC23C25×C131
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2854×C131C2semidirect
2. #2852×C131C2semidirect
3. #2797×C131C2semidirect
4. #2790×C131C2semidirect
5. #2757×C131C2semidirect
6. #2752×C131C2semidirect
7. #2749×C131C2semidirect
8. #2749×C131C2semidirect
9. #2747×C131C2semidirect
10. #2738×C131C2semidirect
11. #2718×C131C2semidirect
12. #2714×C131C2semidirect
13. #2703×C131C2semidirect
14. #2703×C131C2semidirect
15. #2688×C131C2semidirect
16. #2688×C131C2semidirect
17. #2675×C131C2semidirect
18. #2671×C131C2semidirect
19. #2661×C131C2semidirect
20. #2652×C131C2semidirect
21. #2595×C131C2semidirect
22. #2573×C131C2semidirect
23. #2464×C131C2semidirect
24. #2456×C131C2semidirect
25. #2456×C131C2semidirect
26. #2443×C131C2semidirect
27. #2443×C131C2semidirect
28. #2422×C131C2semidirect
29. #2333×C131C2semidirect
30. #2322×C131C2semidirect
31. C4×#121×C131C2semidirect
787. #36847C131direct (N × H)
788. C131#36847direct (N × H)
789. #2854C2×C131semidirect
790. #2852C2×C131semidirect
791. #2797C2×C131semidirect
792. #2790C2×C131semidirect
793. #2757C2×C131semidirect
794. #2752C2×C131semidirect
795. #2749C2×C131semidirect
796. #2749C2×C131semidirect
797. #2747C2×C131semidirect
798. #2738C2×C131semidirect
799. #2718C2×C131semidirect
800. #2714C2×C131semidirect
801. #2703C2×C131semidirect
802. #2703C2×C131semidirect
803. #2688C2×C131semidirect
804. #2688C2×C131semidirect
805. #2675C2×C131semidirect
806. #2671C2×C131semidirect
807. #2661C2×C131semidirect
808. #2652C2×C131semidirect
809. #2595C2×C131semidirect
810. #2573C2×C131semidirect
811. #2464C2×C131semidirect
812. #2456C2×C131semidirect
813. #2456C2×C131semidirect
814. #2443C2×C131semidirect
815. #2443C2×C131semidirect
816. #2422C2×C131semidirect
817. #2333C2×C131semidirect
818. #2322C2×C131semidirect
819. C4×#121C2×C131semidirect

Maximal subgroups

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

subgroupindex
#2854×C1312
#2852×C1312
#2797×C1312
#2790×C1312
#2757×C1312
#2752×C1312
#2749×C1312
#2747×C1312
#2738×C1312
#2718×C1312
#2714×C1312
#2703×C1312
#2688×C1312
#2675×C1312
#2671×C1312
#2661×C1312
#2652×C1312
#2595×C1312
#2573×C1312
#2464×C1312
#2456×C1312
#2443×C1312
#2422×C1312
#2333×C1312
#2322×C1312
C4×#121×C1312
#36847131