Finite Group Databasebeta

← C131×#36839 #45722723

Subgroups — C131×#36839 #45722723

Order 33536.

1980 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#2849×C131C211yesmaximal, characteristic, complemented
2#2849×C131C211yesmaximal, characteristic, complemented
3#2782×C131C211yesmaximal, characteristic, complemented
4#2780×C131C211yesmaximal, characteristic, complemented
5#2771×C131C211yesmaximal, characteristic, complemented
6#2757×C131C211yesmaximal, characteristic, complemented
7#2750×C131C211yesmaximal, characteristic, complemented
8#2749×C131C211yesmaximal, characteristic, complemented
9#2743×C131C211yesmaximal, characteristic, complemented
10#2735×C131C211yesmaximal, characteristic, complemented
11#2724×C131C211yesmaximal, characteristic, complemented
12#2708×C131C211yesmaximal, characteristic, complemented
13#2706×C131C211yesmaximal, characteristic, complemented
14#2703×C131C211yesmaximal, characteristic, complemented
15#2688×C131C211yesmaximal, characteristic, complemented
16#2678×C131C211yesmaximal, characteristic, complemented
17#2678×C131C211yesmaximal, characteristic, complemented
18#2668×C131C211yesmaximal, characteristic, complemented
19#2652×C131C211yesmaximal, characteristic, complemented
20#2648×C131C211yesmaximal, characteristic, complemented
21#2516×C131C211yesmaximal, characteristic, complemented
22#2515×C131C211yesmaximal, characteristic, complemented
23#2471×C131C211yesmaximal, characteristic, complemented
24#2470×C131C211yesmaximal, characteristic, complemented
25#2456×C131C211yesmaximal, characteristic, complemented
26#2455×C131C211yesmaximal, characteristic, complemented
27#2444×C131C211yesmaximal, characteristic, complemented
28#2419×C131C211yesmaximal, characteristic, complemented
29#2325×C131C211yesmaximal, characteristic, complemented
30#2324×C131C211yesmaximal, characteristic, complemented
31C4×#120×C131C211yesmaximal, characteristic, complemented
32C24×C4×C131C2211yescharacteristic
33C2×#123×C131C2211yescharacteristic
34C2×#123×C131C2211yescharacteristic
35C2×#123×C131C2211yescharacteristic
36C2×#123×C131C2211yescharacteristic
37C2×#123×C131C2211yescharacteristic
38C2×#123×C131C2211yescharacteristic
39C2×#121×C131C2211yescharacteristic
40C2×#121×C131C2211yescharacteristic
41C2×#121×C131C2211yescharacteristic
42C2×#121×C131C2211yescharacteristic
43C2×#120×C131C2211yescharacteristic
44C2×#120×C131C2211yescharacteristic
45C2×#120×C131C2211yescharacteristic
46C2×C4×D4×C131C2211yescharacteristic
47C2×C4×D4×C131C2211yescharacteristic
48C2×C4×D4×C131C2211yescharacteristic
49C2×C4×D4×C131C2211yescharacteristic, complemented
50C2×#117×C131C2211yescharacteristic, complemented
51#400×C131C2211yescharacteristic, complemented
52#400×C131C2211yescharacteristic, complemented
53#400×C131C2211yescharacteristic, complemented
54#400×C131C2211yescharacteristic, complemented
55#400×C131C2211yescharacteristic, complemented
56#400×C131C2211yescharacteristic, complemented
57#400×C131C2211yescharacteristic, complemented
58#400×C131C2211yescharacteristic, complemented
59#400×C131C2211yescharacteristic, complemented
60#399×C131C2211yescharacteristic
61#399×C131C2211yescharacteristic
62#399×C131C2211yescharacteristic, complemented
63#398×C131C2211yescharacteristic, complemented
64#398×C131C2211yescharacteristic, complemented
65#398×C131C2211yescharacteristic, complemented
66#397×C131C2211yescharacteristic
67#397×C131C2211yescharacteristic
68#397×C131C2211yescharacteristic
69#397×C131C2211yescharacteristic
70#397×C131C2211yescharacteristic
71#397×C131C2211yescharacteristic
72#397×C131C2211yescharacteristic
73#397×C131C2211yescharacteristic, complemented
74#397×C131C2211yescharacteristic, complemented
75#397×C131C2211yescharacteristic, complemented
76#397×C131C2211yescharacteristic, complemented
77#397×C131C2211yescharacteristic, complemented
78#397×C131C2211yescharacteristic, complemented
79#396×C131C2211yescharacteristic
80#396×C131C2211yescharacteristic
81#396×C131C2211yescharacteristic
82#396×C131C2211yescharacteristic
83#396×C131C2211yescharacteristic, complemented
84#396×C131C2211yescharacteristic, complemented
85#394×C131C2211yescharacteristic
86#394×C131C2211yescharacteristic
87#394×C131C2211yescharacteristic
88#394×C131C2211yescharacteristic
89#394×C131C2211yescharacteristic
90#394×C131C2211yescharacteristic
91#394×C131C2211yescharacteristic, complemented
92#394×C131C2211yescharacteristic, complemented
93#392×C131C2211yescharacteristic
94#392×C131C2211yescharacteristic
95#392×C131C2211yescharacteristic
96#392×C131C2211yescharacteristic
97#392×C131C2211yescharacteristic
98#392×C131C2211yescharacteristic, complemented
99#390×C131C2211yescharacteristic
100#390×C131C2211yescharacteristic
101#390×C131C2211yescharacteristic
102#390×C131C2211yescharacteristic
103#390×C131C2211yescharacteristic, complemented
104#390×C131C2211yescharacteristic, complemented
105#389×C131C2211yescharacteristic, complemented
106#389×C131C2211yescharacteristic, complemented
107#389×C131C2211yescharacteristic, complemented
108#389×C131C2211yescharacteristic, complemented
109#388×C131C2211yescharacteristic
110#388×C131C2211yescharacteristic
111#388×C131C2211yescharacteristic
112#388×C131C2211yescharacteristic
113#388×C131C2211yescharacteristic
114#388×C131C2211yescharacteristic
115#388×C131C2211yescharacteristic
116#388×C131C2211yescharacteristic
117#388×C131C2211yescharacteristic, complemented
118#388×C131C2211yescharacteristic, complemented
119#388×C131C2211yescharacteristic, complemented
120#388×C131C2211yescharacteristic, complemented
121#388×C131C2211yescharacteristic, complemented
122#388×C131C2211yescharacteristic, complemented
123#387×C131C2211yescharacteristic, complemented
124#387×C131C2211yescharacteristic, complemented
125#387×C131C2211yescharacteristic, complemented
126#387×C131C2211yescharacteristic, complemented
127#387×C131C2211yescharacteristic, complemented
128#387×C131C2211yescharacteristic, complemented
129#387×C131C2211yescharacteristic, complemented
130#387×C131C2211yescharacteristic, complemented
131#386×C131C2211yescharacteristic
132#386×C131C2211yescharacteristic
133#386×C131C2211yescharacteristic
134#386×C131C2211yescharacteristic
135#386×C131C2211yescharacteristic
136#386×C131C2211yescharacteristic
137#386×C131C2211yescharacteristic
138#386×C131C2211yescharacteristic
139#386×C131C2211yescharacteristic
140#386×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, complemented
149#386×C131C2211yescharacteristic, complemented
150#386×C131C2211yescharacteristic, complemented
151#386×C131C2211yescharacteristic, complemented
152#385×C131C2211yescharacteristic
153#385×C131C2211yescharacteristic
154#385×C131C2211yescharacteristic
155#385×C131C2211yescharacteristic
156#385×C131C2211yescharacteristic
157#385×C131C2211yescharacteristic
158#385×C131C2211yescharacteristic
159#385×C131C2211yescharacteristic
160#385×C131C2211yescharacteristic
161#385×C131C2211yescharacteristic
162#385×C131C2211yescharacteristic
163#385×C131C2211yescharacteristic, complemented
164#385×C131C2211yescharacteristic, complemented
165#385×C131C2211yescharacteristic, complemented
166#385×C131C2211yescharacteristic, complemented
167#385×C131C2211yescharacteristic, complemented
168#385×C131C2211yescharacteristic, complemented
169#383×C131C2211yescharacteristic, complemented
170#382×C131C2211yescharacteristic, complemented
171#381×C131C2211yescharacteristic
172#381×C131C2211yescharacteristic
173#381×C131C2211yescharacteristic
174#381×C131C2211yescharacteristic
175#381×C131C2211yescharacteristic, complemented
176#380×C131C2211yescharacteristic, complemented
177#380×C131C2211yescharacteristic, complemented
178#380×C131C2211yescharacteristic, complemented
179#379×C131C2211yescharacteristic
180#379×C131C2211yescharacteristic
181#379×C131C2211yescharacteristic
182C4×C4⋊C4×C131C2211yescharacteristic, complemented
183C4×C22⋊C4×C131C2211yescharacteristic
184C4×C22⋊C4×C131C2211yescharacteristic
185C4×C22⋊C4×C131C2211yescharacteristic
186C2×#95×C131C2211yescharacteristic, complemented
187C25×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
200C23×C4×C131—42no—
201C23×C4×C131—42no—
202C23×C4×C131—42no—
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
212C23×C4×C131C2311yescharacteristic
213C23×C4×C131C2311yescharacteristic
214#123×C131—42no—
215#123×C131—42no—
216#123×C131—42no—
217#123×C131—42no—
218#123×C131—42no—
219#123×C131—42no—
220#121×C131—24no—
221#121×C131—24no—
222#121×C131—42no—
223#121×C131—42no—
224#120×C131—24no—
225#120×C131—42no—
226#120×C131—42no—
227C4×D4×C131—42no—
228C4×D4×C131—42no—
229C4×D4×C131—42no—
230C4×D4×C131—42no—
231#117×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×C22⋊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×C22⋊C4×C131C2311yescharacteristic
312C2×C42×C131C2311yescharacteristic
313C2×C42×C131C2311yescharacteristic
314C2×C42×C131C2311yescharacteristic
315C2×C42×C131C2311yescharacteristic
316C2×C42×C131C2311yescharacteristic
317C2×C42×C131C2311yescharacteristic
318C2×C42×C131C2311yescharacteristic
319#95×C131C2311yescharacteristic
320#95×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×C131—22no—
364C24×C131—22no—
365C24×C131—22no—
366C24×C131—41no—
367C24×C131—41no—
368C24×C131—41no—
369C24×C131—41no—
370C24×C131C2411yescharacteristic
371C24×C131C2411yescharacteristic
372C24×C131C2411yescharacteristic
373C24×C131C2411yescharacteristic
374C24×C131C2411yescharacteristic
375C24×C131C2411yescharacteristic
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—22no—
383C2×D4×C131—22no—
384C2×D4×C131—22no—
385C2×D4×C131—22no—
386C2×D4×C131—22no—
387C2×D4×C131—22no—
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#4114yes—
412C22×C4×C131—22no—
413C22×C4×C131—22no—
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×C131—41no—
445C22×C4×C131—416no—
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
469C22×C4×C131C2411yescharacteristic
470C22×C4×C131C2411yescharacteristic
471C4⋊C4×C131—22no—
472C4⋊C4×C131—22no—
473C4⋊C4×C131—22no—
474C4⋊C4×C131—22no—
475C4⋊C4×C131—41no—
476C4⋊C4×C131—41no—
477C4⋊C4×C131—41no—
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—
498C4⋊C4×C131—41no—
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—22no—
512C22⋊C4×C131—22no—
513C22⋊C4×C131—22no—
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—41no—
548C22⋊C4×C131—41no—
549C22⋊C4×C131—41no—
550C22⋊C4×C131—41no—
551C42×C131—22no—
552C42×C131—41no—
553C42×C131—41no—
554C42×C131—41no—
555C42×C131—41no—
556C42×C131—41no—
557C42×C131—41no—
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—44no—
597C23×C131—44no—
598C23×C131—44no—
599C23×C131—44no—
600C23×C131—44no—
601C23×C131—44no—
602C23×C131—44no—
603C23×C131C2×#4112yes—
604C23×C131C2×#4112yes—
605C23×C131H(5,𝔽2)12yes—
606C23×C131H(5,𝔽2)12yes—
607C23×C131C2511yescharacteristic
608D4×C131—44no—
609D4×C131—44no—
610D4×C131—44no—
611D4×C131—44no—
612D4×C131—82no—
613D4×C131—82no—
614D4×C131—82no—
615D4×C131—82no—
616D4×C131—82no—
617D4×C131—82no—
618D4×C131—82no—
619D4×C131—82no—
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—21no—
687C2×C4×C131—21no—
688C2×C4×C131—21no—
689C2×C4×C131—21no—
690C2×C4×C131—21no—
691C2×C4×C131—21no—
692C2×C4×C131—21no—
693C2×C4×C131—44no—
694C2×C4×C131—44no—
695C2×C4×C131—44no—
696C2×C4×C131—44no—
697C2×C4×C131—44no—
698C2×C4×C131—44no—
699C2×C4×C131—44no—
700C2×C4×C131—82no—
701C2×C4×C131—82no—
702C2×C4×C131—82no—
703C2×C4×C131—82no—
704C2×C4×C131C2×#4112yes—
705C2×C4×C131H(5,𝔽2)12yes—
706C22×C131—22no—
707C22×C131—22no—
708C22×C131—22no—
709C22×C131—22no—
710C22×C131—22no—
711C22×C131—22no—
712C22×C131—22no—
713C22×C131—22no—
714C22×C131—22no—
715C22×C131—22no—
716C22×C131—22no—
717C22×C131—22no—
718C22×C131—416no—
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×C131—41no—
743C22×C131—41no—
744C22×C131—41no—
745C22×C131—41no—
746C22×C131—41no—
747C22×C131—41no—
748C22×C131—41no—
749C22×C131C22×#4111yescharacteristic
750C22×C131C2×H(5,𝔽2)11yescharacteristic
751C22×C131C2×H(5,𝔽2)11yescharacteristic
752C22×C131C2×H(5,𝔽2)11yescharacteristic
753C22×C131#58511yescharacteristic
754C22×C131#58511yescharacteristic
755C22×C131#58511yescharacteristic
756C4×C131—22no—
757C4×C131—22no—
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—
774C4×C131—41no—
775C4×C131—41no—
776C4×C131—41no—
777C4×C131—41no—
778C4×C131—41no—
779C4×C131—41no—
780C4×C131—41no—
781C2×C131—42no—
782C2×C131—42no—
783C2×C131—42no—
784C2×C131—42no—
785C2×C131—81no—
786C2×C131—81no—
787C2×C131#345911yescharacteristic
788C2×C131#351311yescharacteristic
789C2×C131#351311yescharacteristic
790C2×C131#353211yescharacteristic
791C2×C131#353311yescharacteristic
792C2×C131#353311yescharacteristic
793C2×C131#353911yescharacteristic
794#36839C13111yesmaximal, characteristic, direct product factor, Sylow
795C131#3683911yescharacteristic, direct product factor, Sylow
796#2849C2×C13111yescharacteristic, complemented
797#2849C2×C13111yescharacteristic, complemented
798#2782C2×C13111yescharacteristic, complemented
799#2780C2×C13111yescharacteristic, complemented
800#2771C2×C13111yescharacteristic, complemented
801#2757C2×C13111yescharacteristic, complemented
802#2750C2×C13111yescharacteristic, complemented
803#2749C2×C13111yescharacteristic, complemented
804#2743C2×C13111yescharacteristic, complemented
805#2735C2×C13111yescharacteristic, complemented
806#2724C2×C13111yescharacteristic, complemented
807#2708C2×C13111yescharacteristic, complemented
808#2706C2×C13111yescharacteristic, complemented
809#2703C2×C13111yescharacteristic, complemented
810#2688C2×C13111yescharacteristic, complemented
811#2678C2×C13111yescharacteristic, complemented
812#2678C2×C13111yescharacteristic, complemented
813#2668C2×C13111yescharacteristic, complemented
814#2652C2×C13111yescharacteristic, complemented
815#2648C2×C13111yescharacteristic, complemented
816#2516C2×C13111yescharacteristic, complemented
817#2515C2×C13111yescharacteristic, complemented
818#2471C2×C13111yescharacteristic, complemented
819#2470C2×C13111yescharacteristic, complemented
820#2456C2×C13111yescharacteristic, complemented
821#2455C2×C13111yescharacteristic, complemented
822#2444C2×C13111yescharacteristic, complemented
823#2419C2×C13111yescharacteristic, complemented
824#2325C2×C13111yescharacteristic, complemented
825#2324C2×C13111yescharacteristic, complemented
826C4×#120C2×C13111yescharacteristic, complemented
827C24×C4C22×C13111yescharacteristic
828C2×#123C22×C13111yescharacteristic
829C2×#123C22×C13111yescharacteristic
830C2×#123C22×C13111yescharacteristic
831C2×#123C22×C13111yescharacteristic
832C2×#123C22×C13111yescharacteristic
833C2×#123C22×C13111yescharacteristic
834C2×#121C22×C13111yescharacteristic
835C2×#121C22×C13111yescharacteristic
836C2×#121C22×C13111yescharacteristic
837C2×#121C22×C13111yescharacteristic
838C2×#120C22×C13111yescharacteristic
839C2×#120C22×C13111yescharacteristic
840C2×#120C22×C13111yescharacteristic
841C2×C4×D4C22×C13111yescharacteristic
842C2×C4×D4C22×C13111yescharacteristic
843C2×C4×D4C22×C13111yescharacteristic
844C2×C4×D4C22×C13111yescharacteristic, complemented
845C2×#117C22×C13111yescharacteristic, complemented
846#400C22×C13111yescharacteristic, complemented
847#400C22×C13111yescharacteristic, complemented
848#400C22×C13111yescharacteristic, complemented
849#400C22×C13111yescharacteristic, complemented
850#400C22×C13111yescharacteristic, complemented
851#400C22×C13111yescharacteristic, complemented
852#400C22×C13111yescharacteristic, complemented
853#400C22×C13111yescharacteristic, complemented
854#400C22×C13111yescharacteristic, complemented
855#399C22×C13111yescharacteristic
856#399C22×C13111yescharacteristic
857#399C22×C13111yescharacteristic, complemented
858#398C22×C13111yescharacteristic, complemented
859#398C22×C13111yescharacteristic, complemented
860#398C22×C13111yescharacteristic, complemented
861#397C22×C13111yescharacteristic
862#397C22×C13111yescharacteristic
863#397C22×C13111yescharacteristic
864#397C22×C13111yescharacteristic
865#397C22×C13111yescharacteristic
866#397C22×C13111yescharacteristic
867#397C22×C13111yescharacteristic
868#397C22×C13111yescharacteristic, complemented
869#397C22×C13111yescharacteristic, complemented
870#397C22×C13111yescharacteristic, complemented
871#397C22×C13111yescharacteristic, complemented
872#397C22×C13111yescharacteristic, complemented
873#397C22×C13111yescharacteristic, complemented
874#396C22×C13111yescharacteristic
875#396C22×C13111yescharacteristic
876#396C22×C13111yescharacteristic
877#396C22×C13111yescharacteristic
878#396C22×C13111yescharacteristic, complemented
879#396C22×C13111yescharacteristic, complemented
880#394C22×C13111yescharacteristic
881#394C22×C13111yescharacteristic
882#394C22×C13111yescharacteristic
883#394C22×C13111yescharacteristic
884#394C22×C13111yescharacteristic
885#394C22×C13111yescharacteristic
886#394C22×C13111yescharacteristic, complemented
887#394C22×C13111yescharacteristic, complemented
888#392C22×C13111yescharacteristic
889#392C22×C13111yescharacteristic
890#392C22×C13111yescharacteristic
891#392C22×C13111yescharacteristic
892#392C22×C13111yescharacteristic
893#392C22×C13111yescharacteristic, complemented
894#390C22×C13111yescharacteristic
895#390C22×C13111yescharacteristic
896#390C22×C13111yescharacteristic
897#390C22×C13111yescharacteristic
898#390C22×C13111yescharacteristic, complemented
899#390C22×C13111yescharacteristic, complemented
900#389C22×C13111yescharacteristic, complemented
901#389C22×C13111yescharacteristic, complemented
902#389C22×C13111yescharacteristic, complemented
903#389C22×C13111yescharacteristic, complemented
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, complemented
913#388C22×C13111yescharacteristic, complemented
914#388C22×C13111yescharacteristic, complemented
915#388C22×C13111yescharacteristic, complemented
916#388C22×C13111yescharacteristic, complemented
917#388C22×C13111yescharacteristic, complemented
918#387C22×C13111yescharacteristic, complemented
919#387C22×C13111yescharacteristic, complemented
920#387C22×C13111yescharacteristic, complemented
921#387C22×C13111yescharacteristic, complemented
922#387C22×C13111yescharacteristic, complemented
923#387C22×C13111yescharacteristic, complemented
924#387C22×C13111yescharacteristic, complemented
925#387C22×C13111yescharacteristic, complemented
926#386C22×C13111yescharacteristic
927#386C22×C13111yescharacteristic
928#386C22×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, complemented
944#386C22×C13111yescharacteristic, complemented
945#386C22×C13111yescharacteristic, complemented
946#386C22×C13111yescharacteristic, complemented
947#385C22×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, complemented
959#385C22×C13111yescharacteristic, complemented
960#385C22×C13111yescharacteristic, complemented
961#385C22×C13111yescharacteristic, complemented
962#385C22×C13111yescharacteristic, complemented
963#385C22×C13111yescharacteristic, complemented
964#383C22×C13111yescharacteristic, complemented
965#382C22×C13111yescharacteristic, complemented
966#381C22×C13111yescharacteristic
967#381C22×C13111yescharacteristic
968#381C22×C13111yescharacteristic
969#381C22×C13111yescharacteristic
970#381C22×C13111yescharacteristic, complemented
971#380C22×C13111yescharacteristic, complemented
972#380C22×C13111yescharacteristic, complemented
973#380C22×C13111yescharacteristic, complemented
974#379C22×C13111yescharacteristic
975#379C22×C13111yescharacteristic
976#379C22×C13111yescharacteristic
977C4×C4⋊C4C22×C13111yescharacteristic, complemented
978C4×C22⋊C4C22×C13111yescharacteristic
979C4×C22⋊C4C22×C13111yescharacteristic
980C4×C22⋊C4C22×C13111yescharacteristic
981C2×#95C22×C13111yescharacteristic, complemented
982C25C23×C13111yescharacteristic
983C22×D4C23×C13111yescharacteristic
984C22×D4C23×C13111yescharacteristic
985C22×D4C23×C13111yescharacteristic
986C22×D4C23×C13111yescharacteristic
987C22×D4C23×C13111yescharacteristic
988C22×D4C23×C13111yescharacteristic
989C22×D4C23×C13111yescharacteristic
990C22×D4C23×C13111yescharacteristic
991C22×D4C23×C13111yescharacteristic
992C22×D4C23×C13111yescharacteristic
993C22×D4C23×C13111yescharacteristic
994C22×D4C23×C13111yescharacteristic
995C23×C4—42no—
996C23×C4—42no—
997C23×C4—42no—
998C23×C4C23×C13111yescharacteristic
999C23×C4C23×C13111yescharacteristic
1000C23×C4C23×C13111yescharacteristic
1001C23×C4C23×C13111yescharacteristic
1002C23×C4C23×C13111yescharacteristic
1003C23×C4C23×C13111yescharacteristic
1004C23×C4C23×C13111yescharacteristic
1005C23×C4C23×C13111yescharacteristic
1006C23×C4C23×C13111yescharacteristic
1007C23×C4C23×C13111yescharacteristic
1008C23×C4C23×C13111yescharacteristic
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#123—42no—
1013#123—42no—
1014#123—42no—
1015#121—24no—
1016#121—24no—
1017#121—42no—
1018#121—42no—
1019#120—24no—
1020#120—42no—
1021#120—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026#117—42no—
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×C4⋊C4C23×C13111yescharacteristic
1050C2×C4⋊C4C23×C13111yescharacteristic
1051C2×C4⋊C4C23×C13111yescharacteristic
1052C2×C4⋊C4C23×C13111yescharacteristic
1053C2×C4⋊C4C23×C13111yescharacteristic
1054C2×C4⋊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×C22⋊C4C23×C13111yescharacteristic
1100C2×C22⋊C4C23×C13111yescharacteristic
1101C2×C22⋊C4C23×C13111yescharacteristic
1102C2×C22⋊C4C23×C13111yescharacteristic
1103C2×C22⋊C4C23×C13111yescharacteristic
1104C2×C22⋊C4C23×C13111yescharacteristic
1105C2×C22⋊C4C23×C13111yescharacteristic
1106C2×C22⋊C4C23×C13111yescharacteristic
1107C2×C42C23×C13111yescharacteristic
1108C2×C42C23×C13111yescharacteristic
1109C2×C42C23×C13111yescharacteristic
1110C2×C42C23×C13111yescharacteristic
1111C2×C42C23×C13111yescharacteristic
1112C2×C42C23×C13111yescharacteristic
1113C2×C42C23×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
1151#95C23×C13111yescharacteristic
1152#95C23×C13111yescharacteristic
1153#95C23×C13111yescharacteristic
1154#95C23×C13111yescharacteristic
1155#95C23×C13111yescharacteristic
1156#95C23×C13111yescharacteristic
1157#95C23×C13111yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C13111yescharacteristic
1166C24C24×C13111yescharacteristic
1167C24C24×C13111yescharacteristic
1168C24C24×C13111yescharacteristic
1169C24C24×C13111yescharacteristic
1170C24C24×C13111yescharacteristic
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
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—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4#41×C13114yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
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×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—416no—
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
1257C22×C4C24×C13111yescharacteristic
1258C22×C4C24×C13111yescharacteristic
1259C22×C4C24×C13111yescharacteristic
1260C22×C4C24×C13111yescharacteristic
1261C22×C4C24×C13111yescharacteristic
1262C22×C4C24×C13111yescharacteristic
1263C22×C4C24×C13111yescharacteristic
1264C22×C4C24×C13111yescharacteristic
1265C22×C4C24×C13111yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
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—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
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—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C42—22no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
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—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23C2×#41×C13112yes—
1399C23C2×#41×C13112yes—
1400C23H(5,𝔽2)×C13112yes—
1401C23H(5,𝔽2)×C13112yes—
1402C23C25×C13111yescharacteristic
1403D4—44no—
1404D4—44no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
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—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4C2×#41×C13112yes—
1500C2×C4H(5,𝔽2)×C13112yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—416no—
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—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×#41×C13111yescharacteristic
1545C22C2×H(5,𝔽2)×C13111yescharacteristic
1546C22C2×H(5,𝔽2)×C13111yescharacteristic
1547C22C2×H(5,𝔽2)×C13111yescharacteristic
1548C22#585×C13111yescharacteristic
1549C22#585×C13111yescharacteristic
1550C22#585×C13111yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2#3459×C13111yescharacteristic
1583C2#3513×C13111yescharacteristic
1584C2#3513×C13111yescharacteristic
1585C2#3532×C13111yescharacteristic
1586C2#3533×C13111yescharacteristic
1587C2#3533×C13111yescharacteristic
1588C2#3539×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. #2849×C131C2semidirect
2. #2849×C131C2semidirect
3. #2782×C131C2semidirect
4. #2780×C131C2semidirect
5. #2771×C131C2semidirect
6. #2757×C131C2semidirect
7. #2750×C131C2semidirect
8. #2749×C131C2semidirect
9. #2743×C131C2semidirect
10. #2735×C131C2semidirect
11. #2724×C131C2semidirect
12. #2708×C131C2semidirect
13. #2706×C131C2semidirect
14. #2703×C131C2semidirect
15. #2688×C131C2semidirect
16. #2678×C131C2semidirect
17. #2678×C131C2semidirect
18. #2668×C131C2semidirect
19. #2652×C131C2semidirect
20. #2648×C131C2semidirect
21. #2516×C131C2semidirect
22. #2515×C131C2semidirect
23. #2471×C131C2semidirect
24. #2470×C131C2semidirect
25. #2456×C131C2semidirect
26. #2455×C131C2semidirect
27. #2444×C131C2semidirect
28. #2419×C131C2semidirect
29. #2325×C131C2semidirect
30. #2324×C131C2semidirect
31. C4×#120×C131C2semidirect
49. C2×C4×D4×C131C22semidirect
50. C2×#117×C131C22semidirect
51. #400×C131C22semidirect
52. #400×C131C22semidirect
53. #400×C131C22semidirect
54. #400×C131C22semidirect
55. #400×C131C22semidirect
56. #400×C131C22semidirect
57. #400×C131C22semidirect
58. #400×C131C22semidirect
59. #400×C131C22semidirect
62. #399×C131C22semidirect
63. #398×C131C22semidirect
64. #398×C131C22semidirect
65. #398×C131C22semidirect
73. #397×C131C22semidirect
74. #397×C131C22semidirect
75. #397×C131C22semidirect
76. #397×C131C22semidirect
77. #397×C131C22semidirect
78. #397×C131C22semidirect
83. #396×C131C22semidirect
84. #396×C131C22semidirect
91. #394×C131C22semidirect
92. #394×C131C22semidirect
98. #392×C131C22semidirect
103. #390×C131C22semidirect
104. #390×C131C22semidirect
105. #389×C131C22semidirect
106. #389×C131C22semidirect
107. #389×C131C22semidirect
108. #389×C131C22semidirect
117. #388×C131C22semidirect
118. #388×C131C22semidirect
119. #388×C131C22semidirect
120. #388×C131C22semidirect
121. #388×C131C22semidirect
122. #388×C131C22semidirect
123. #387×C131C22semidirect
124. #387×C131C22semidirect
125. #387×C131C22semidirect
126. #387×C131C22semidirect
127. #387×C131C22semidirect
128. #387×C131C22semidirect
129. #387×C131C22semidirect
130. #387×C131C22semidirect
148. #386×C131C22semidirect
149. #386×C131C22semidirect
150. #386×C131C22semidirect
151. #386×C131C22semidirect
163. #385×C131C22semidirect
164. #385×C131C22semidirect
165. #385×C131C22semidirect
166. #385×C131C22semidirect
167. #385×C131C22semidirect
168. #385×C131C22semidirect
169. #383×C131C22semidirect
170. #382×C131C22semidirect
175. #381×C131C22semidirect
176. #380×C131C22semidirect
177. #380×C131C22semidirect
178. #380×C131C22semidirect
182. C4×C4⋊C4×C131C22semidirect
186. C2×#95×C131C22semidirect
794. #36839C131direct (N × H)
795. C131#36839direct (N × H)
796. #2849C2×C131semidirect
797. #2849C2×C131semidirect
798. #2782C2×C131semidirect
799. #2780C2×C131semidirect
800. #2771C2×C131semidirect
801. #2757C2×C131semidirect
802. #2750C2×C131semidirect
803. #2749C2×C131semidirect
804. #2743C2×C131semidirect
805. #2735C2×C131semidirect
806. #2724C2×C131semidirect
807. #2708C2×C131semidirect
808. #2706C2×C131semidirect
809. #2703C2×C131semidirect
810. #2688C2×C131semidirect
811. #2678C2×C131semidirect
812. #2678C2×C131semidirect
813. #2668C2×C131semidirect
814. #2652C2×C131semidirect
815. #2648C2×C131semidirect
816. #2516C2×C131semidirect
817. #2515C2×C131semidirect
818. #2471C2×C131semidirect
819. #2470C2×C131semidirect
820. #2456C2×C131semidirect
821. #2455C2×C131semidirect
822. #2444C2×C131semidirect
823. #2419C2×C131semidirect
824. #2325C2×C131semidirect
825. #2324C2×C131semidirect
826. C4×#120C2×C131semidirect
844. C2×C4×D4C22×C131semidirect
845. C2×#117C22×C131semidirect
846. #400C22×C131semidirect
847. #400C22×C131semidirect
848. #400C22×C131semidirect
849. #400C22×C131semidirect
850. #400C22×C131semidirect
851. #400C22×C131semidirect
852. #400C22×C131semidirect
853. #400C22×C131semidirect
854. #400C22×C131semidirect
857. #399C22×C131semidirect
858. #398C22×C131semidirect
859. #398C22×C131semidirect
860. #398C22×C131semidirect
868. #397C22×C131semidirect
869. #397C22×C131semidirect
870. #397C22×C131semidirect
871. #397C22×C131semidirect
872. #397C22×C131semidirect
873. #397C22×C131semidirect
878. #396C22×C131semidirect
879. #396C22×C131semidirect
886. #394C22×C131semidirect
887. #394C22×C131semidirect
893. #392C22×C131semidirect
898. #390C22×C131semidirect
899. #390C22×C131semidirect
900. #389C22×C131semidirect
901. #389C22×C131semidirect
902. #389C22×C131semidirect
903. #389C22×C131semidirect
912. #388C22×C131semidirect
913. #388C22×C131semidirect
914. #388C22×C131semidirect
915. #388C22×C131semidirect
916. #388C22×C131semidirect
917. #388C22×C131semidirect
918. #387C22×C131semidirect
919. #387C22×C131semidirect
920. #387C22×C131semidirect
921. #387C22×C131semidirect
922. #387C22×C131semidirect
923. #387C22×C131semidirect
924. #387C22×C131semidirect
925. #387C22×C131semidirect
943. #386C22×C131semidirect
944. #386C22×C131semidirect
945. #386C22×C131semidirect
946. #386C22×C131semidirect
958. #385C22×C131semidirect
959. #385C22×C131semidirect
960. #385C22×C131semidirect
961. #385C22×C131semidirect
962. #385C22×C131semidirect
963. #385C22×C131semidirect
964. #383C22×C131semidirect
965. #382C22×C131semidirect
970. #381C22×C131semidirect
971. #380C22×C131semidirect
972. #380C22×C131semidirect
973. #380C22×C131semidirect
977. C4×C4⋊C4C22×C131semidirect
981. C2×#95C22×C131semidirect

Maximal subgroups

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

subgroupindex
#2849×C1312
#2782×C1312
#2780×C1312
#2771×C1312
#2757×C1312
#2750×C1312
#2749×C1312
#2743×C1312
#2735×C1312
#2724×C1312
#2708×C1312
#2706×C1312
#2703×C1312
#2688×C1312
#2678×C1312
#2668×C1312
#2652×C1312
#2648×C1312
#2516×C1312
#2515×C1312
#2471×C1312
#2470×C1312
#2456×C1312
#2455×C1312
#2444×C1312
#2419×C1312
#2325×C1312
#2324×C1312
C4×#120×C1312
#36839131