Finite Group Databasebeta

← C131×#36904 #45722788

Subgroups — C131×#36904 #45722788

Order 33536.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2848×C131C211yesmaximal, characteristic, complemented
2#2847×C131C211yesmaximal, characteristic, complemented
3#2780×C131C211yesmaximal, characteristic, complemented
4#2770×C131C211yesmaximal, characteristic, complemented
5#2756×C131C211yesmaximal, characteristic, complemented
6#2741×C131C211yesmaximal, characteristic, complemented
7#2730×C131C211yesmaximal, characteristic, complemented
8#2715×C131C211yesmaximal, characteristic, complemented
9#2711×C131C211yesmaximal, characteristic, complemented
10#2704×C131C211yesmaximal, characteristic, complemented
11#2697×C131C211yesmaximal, characteristic, complemented
12#2692×C131C211yesmaximal, characteristic, complemented
13#2685×C131C211yesmaximal, characteristic, complemented
14#2678×C131C211yesmaximal, characteristic, complemented
15#2676×C131C211yesmaximal, characteristic, complemented
16#2672×C131C211yesmaximal, characteristic, complemented
17#2671×C131C211yesmaximal, characteristic, complemented
18#2670×C131C211yesmaximal, characteristic, complemented
19#2636×C131C211yesmaximal, characteristic, complemented
20#2630×C131C211yesmaximal, characteristic, complemented
21#2574×C131C211yesmaximal, characteristic, complemented
22#2560×C131C211yesmaximal, characteristic, complemented
23#2559×C131C211yesmaximal, characteristic, complemented
24#2553×C131C211yesmaximal, characteristic, complemented
25#2464×C131C211yesmaximal, characteristic, complemented
26#2461×C131C211yesmaximal, characteristic, complemented
27#2454×C131C211yesmaximal, characteristic, complemented
28#2427×C131C211yesmaximal, characteristic, complemented
29#2337×C131C211yesmaximal, characteristic, complemented
30#2335×C131C211yesmaximal, characteristic, complemented
31C4×#120×C131C211yesmaximal, characteristic, complemented
32C24×C4×C131C2211yescharacteristic
33C2×#126×C131C2211yescharacteristic
34C2×#126×C131C2211yescharacteristic, complemented
35C2×#125×C131C2211yescharacteristic, complemented
36C2×#124×C131C2211yescharacteristic
37C2×#124×C131C2211yescharacteristic
38C2×#124×C131C2211yescharacteristic, complemented
39C2×#123×C131C2211yescharacteristic
40C2×#123×C131C2211yescharacteristic
41C2×#123×C131C2211yescharacteristic, complemented
42C2×C22⋊Q8×C131C2211yescharacteristic
43C2×C22⋊Q8×C131C2211yescharacteristic
44C2×C22⋊Q8×C131C2211yescharacteristic
45C2×C22⋊Q8×C131C2211yescharacteristic, complemented
46C2×#121×C131C2211yescharacteristic
47C2×#121×C131C2211yescharacteristic
48C2×#121×C131C2211yescharacteristic
49C2×#121×C131C2211yescharacteristic
50C2×#121×C131C2211yescharacteristic, complemented
51C2×#120×C131C2211yescharacteristic
52C2×#120×C131C2211yescharacteristic
53C2×#120×C131C2211yescharacteristic
54C2×C4×D4×C131C2211yescharacteristic
55C2×C4×D4×C131C2211yescharacteristic
56C2×C4×D4×C131C2211yescharacteristic
57#400×C131C2211yescharacteristic, complemented
58#400×C131C2211yescharacteristic, complemented
59#399×C131C2211yescharacteristic
60#399×C131C2211yescharacteristic, complemented
61#399×C131C2211yescharacteristic, complemented
62#399×C131C2211yescharacteristic, complemented
63#398×C131C2211yescharacteristic, complemented
64#398×C131C2211yescharacteristic, complemented
65#398×C131C2211yescharacteristic, complemented
66#398×C131C2211yescharacteristic, complemented
67#398×C131C2211yescharacteristic, complemented
68#397×C131C2211yescharacteristic
69#397×C131C2211yescharacteristic
70#397×C131C2211yescharacteristic
71#397×C131C2211yescharacteristic, complemented
72#397×C131C2211yescharacteristic, complemented
73#396×C131C2211yescharacteristic
74#396×C131C2211yescharacteristic
75#396×C131C2211yescharacteristic
76#396×C131C2211yescharacteristic
77#396×C131C2211yescharacteristic, complemented
78#396×C131C2211yescharacteristic, complemented
79#396×C131C2211yescharacteristic, complemented
80#396×C131C2211yescharacteristic, complemented
81#395×C131C2211yescharacteristic, complemented
82#395×C131C2211yescharacteristic, complemented
83#394×C131C2211yescharacteristic
84#394×C131C2211yescharacteristic
85#394×C131C2211yescharacteristic
86#394×C131C2211yescharacteristic
87#394×C131C2211yescharacteristic
88#394×C131C2211yescharacteristic
89#394×C131C2211yescharacteristic
90#394×C131C2211yescharacteristic
91#394×C131C2211yescharacteristic
92#394×C131C2211yescharacteristic
93#394×C131C2211yescharacteristic, complemented
94#394×C131C2211yescharacteristic, complemented
95#394×C131C2211yescharacteristic, complemented
96#394×C131C2211yescharacteristic, complemented
97#394×C131C2211yescharacteristic, complemented
98#393×C131C2211yescharacteristic
99#393×C131C2211yescharacteristic, complemented
100#392×C131C2211yescharacteristic
101#392×C131C2211yescharacteristic
102#392×C131C2211yescharacteristic
103#392×C131C2211yescharacteristic
104#392×C131C2211yescharacteristic
105#391×C131C2211yescharacteristic, complemented
106#391×C131C2211yescharacteristic, complemented
107#391×C131C2211yescharacteristic, complemented
108#390×C131C2211yescharacteristic
109#390×C131C2211yescharacteristic
110#390×C131C2211yescharacteristic
111#390×C131C2211yescharacteristic
112#390×C131C2211yescharacteristic
113#390×C131C2211yescharacteristic
114#390×C131C2211yescharacteristic
115#389×C131C2211yescharacteristic, complemented
116#389×C131C2211yescharacteristic, complemented
117#389×C131C2211yescharacteristic, complemented
118#389×C131C2211yescharacteristic, complemented
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, complemented
128#388×C131C2211yescharacteristic, complemented
129#388×C131C2211yescharacteristic, complemented
130#388×C131C2211yescharacteristic, complemented
131#388×C131C2211yescharacteristic, complemented
132#388×C131C2211yescharacteristic, complemented
133#388×C131C2211yescharacteristic, complemented
134#388×C131C2211yescharacteristic, complemented
135#387×C131C2211yescharacteristic, complemented
136#387×C131C2211yescharacteristic, complemented
137#387×C131C2211yescharacteristic, complemented
138#387×C131C2211yescharacteristic, complemented
139#387×C131C2211yescharacteristic, complemented
140#387×C131C2211yescharacteristic, complemented
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, complemented
154#386×C131C2211yescharacteristic, complemented
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
164#385×C131C2211yescharacteristic, complemented
165#385×C131C2211yescharacteristic, complemented
166#385×C131C2211yescharacteristic, complemented
167#383×C131C2211yescharacteristic, complemented
168#382×C131C2211yescharacteristic, complemented
169#380×C131C2211yescharacteristic
170#380×C131C2211yescharacteristic
171#380×C131C2211yescharacteristic
172#380×C131C2211yescharacteristic
173#380×C131C2211yescharacteristic
174#380×C131C2211yescharacteristic
175#380×C131C2211yescharacteristic, complemented
176#380×C131C2211yescharacteristic, complemented
177#379×C131C2211yescharacteristic
178#379×C131C2211yescharacteristic
179#379×C131C2211yescharacteristic
180C4×C4⋊C4×C131C2211yescharacteristic, complemented
181C4×C4⋊C4×C131C2211yescharacteristic, complemented
182C4×C22⋊C4×C131C2211yescharacteristic
183C4×C22⋊C4×C131C2211yescharacteristic
184C4×C22⋊C4×C131C2211yescharacteristic
185C4×C22⋊C4×C131C2211yescharacteristic, complemented
186C4×C22⋊C4×C131C2211yescharacteristic, complemented
187C25×C131C2311yescharacteristic
188C22×Q8×C131C2311yescharacteristic
189C22×Q8×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×C131—42no—
203C23×C4×C131—42no—
204C23×C4×C131—42no—
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#126×C131—42no—
215#126×C131—42no—
216#125×C131—42no—
217#124×C131—24no—
218#124×C131—42no—
219#124×C131—42no—
220#123×C131—24no—
221#123×C131—42no—
222#123×C131—42no—
223C22⋊Q8×C131—42no—
224C22⋊Q8×C131—42no—
225C22⋊Q8×C131—42no—
226C22⋊Q8×C131—42no—
227#121×C131—42no—
228#121×C131—42no—
229#121×C131—42no—
230#121×C131—42no—
231#121×C131—42no—
232#120×C131—24no—
233#120×C131—42no—
234#120×C131—42no—
235C4×D4×C131—42no—
236C4×D4×C131—42no—
237C4×D4×C131—42no—
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×C4⋊C4×C131C2311yescharacteristic
262C2×C4⋊C4×C131C2311yescharacteristic
263C2×C4⋊C4×C131C2311yescharacteristic
264C2×C4⋊C4×C131C2311yescharacteristic
265C2×C4⋊C4×C131C2311yescharacteristic
266C2×C4⋊C4×C131C2311yescharacteristic
267C2×C4⋊C4×C131C2311yescharacteristic
268C2×C4⋊C4×C131C2311yescharacteristic
269C2×C4⋊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×C22⋊C4×C131C2311yescharacteristic
313C2×C22⋊C4×C131C2311yescharacteristic
314C2×C22⋊C4×C131C2311yescharacteristic
315C2×C22⋊C4×C131C2311yescharacteristic
316C2×C22⋊C4×C131C2311yescharacteristic
317C2×C22⋊C4×C131C2311yescharacteristic
318C2×C22⋊C4×C131C2311yescharacteristic
319C2×C22⋊C4×C131C2311yescharacteristic
320C2×C22⋊C4×C131C2311yescharacteristic
321C2×C22⋊C4×C131C2311yescharacteristic
322C2×C22⋊C4×C131C2311yescharacteristic
323C2×C22⋊C4×C131C2311yescharacteristic
324C2×C42×C131C2311yescharacteristic
325C2×C42×C131C2311yescharacteristic
326C2×C42×C131C2311yescharacteristic
327C2×C42×C131C2311yescharacteristic
328C2×C42×C131C2311yescharacteristic
329C2×C42×C131C2311yescharacteristic
330C2×C42×C131C2311yescharacteristic
331C2×C42×C131C2311yescharacteristic
332C2×C42×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
363#95×C131C2311yescharacteristic
364#95×C131C2311yescharacteristic
365#95×C131C2311yescharacteristic
366#95×C131C2311yescharacteristic
367#95×C131C2311yescharacteristic
368#95×C131C2311yescharacteristic
369C24×C131—22no—
370C24×C131—22no—
371C24×C131—22no—
372C24×C131—41no—
373C24×C131—41no—
374C24×C131—41no—
375C24×C131—41no—
376C24×C131C2411yescharacteristic
377C24×C131C2411yescharacteristic
378C24×C131C2411yescharacteristic
379C24×C131C2411yescharacteristic
380C24×C131C2411yescharacteristic
381C24×C131C2411yescharacteristic
382C2×Q8×C131—22no—
383C2×Q8×C131—22no—
384C2×Q8×C131—41no—
385C2×Q8×C131—41no—
386C2×Q8×C131—41no—
387C2×Q8×C131—41no—
388C2×D4×C131—22no—
389C2×D4×C131—22no—
390C2×D4×C131—22no—
391C2×D4×C131—22no—
392C2×D4×C131—22no—
393C2×D4×C131—22no—
394C2×D4×C131—22no—
395C2×D4×C131—22no—
396C2×D4×C131—22no—
397C2×D4×C131—22no—
398C2×D4×C131—22no—
399C2×D4×C131—22no—
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—
414C2×D4×C131—41no—
415C2×D4×C131—41no—
416C2×D4×C131—41no—
417C2×D4×C131—41no—
418C2×D4×C131—41no—
419C2×D4×C131—41no—
420C2×D4×C131—41no—
421C2×D4×C131—41no—
422C2×D4×C131—41no—
423C2×D4×C131—41no—
424C22×C4×C131—22no—
425C22×C4×C131—22no—
426C22×C4×C131—22no—
427C22×C4×C131—22no—
428C22×C4×C131—22no—
429C22×C4×C131—22no—
430C22×C4×C131—22no—
431C22×C4×C131—22no—
432C22×C4×C131—22no—
433C22×C4×C131—22no—
434C22×C4×C131—22no—
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—41no—
446C22×C4×C131—41no—
447C22×C4×C131—41no—
448C22×C4×C131—41no—
449C22×C4×C131—41no—
450C22×C4×C131—41no—
451C22×C4×C131—416no—
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
471C22×C4×C131C2411yescharacteristic
472C22×C4×C131C2411yescharacteristic
473C22×C4×C131C2411yescharacteristic
474C22×C4×C131C2411yescharacteristic
475C22×C4×C131C2411yescharacteristic
476C22×C4×C131C2411yescharacteristic
477C4⋊C4×C131—22no—
478C4⋊C4×C131—22no—
479C4⋊C4×C131—22no—
480C4⋊C4×C131—22no—
481C4⋊C4×C131—22no—
482C4⋊C4×C131—22no—
483C4⋊C4×C131—22no—
484C4⋊C4×C131—22no—
485C4⋊C4×C131—22no—
486C4⋊C4×C131—22no—
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—
499C4⋊C4×C131—41no—
500C4⋊C4×C131—41no—
501C4⋊C4×C131—41no—
502C4⋊C4×C131—41no—
503C4⋊C4×C131—41no—
504C4⋊C4×C131—41no—
505C4⋊C4×C131—41no—
506C4⋊C4×C131—41no—
507C4⋊C4×C131—41no—
508C4⋊C4×C131—41no—
509C22⋊C4×C131—22no—
510C22⋊C4×C131—22no—
511C22⋊C4×C131—22no—
512C22⋊C4×C131—22no—
513C22⋊C4×C131—22no—
514C22⋊C4×C131—22no—
515C22⋊C4×C131—22no—
516C22⋊C4×C131—22no—
517C22⋊C4×C131—22no—
518C22⋊C4×C131—22no—
519C22⋊C4×C131—22no—
520C22⋊C4×C131—22no—
521C22⋊C4×C131—22no—
522C22⋊C4×C131—22no—
523C22⋊C4×C131—22no—
524C22⋊C4×C131—22no—
525C22⋊C4×C131—22no—
526C22⋊C4×C131—22no—
527C22⋊C4×C131—22no—
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—
551C22⋊C4×C131—41no—
552C22⋊C4×C131—41no—
553C22⋊C4×C131—41no—
554C22⋊C4×C131—41no—
555C22⋊C4×C131—41no—
556C22⋊C4×C131—41no—
557C22⋊C4×C131—41no—
558C22⋊C4×C131—41no—
559C22⋊C4×C131—41no—
560C22⋊C4×C131—41no—
561C22⋊C4×C131—41no—
562C22⋊C4×C131#4114yes—
563C42×C131—22no—
564C42×C131—22no—
565C42×C131—41no—
566C42×C131—41no—
567C42×C131—41no—
568C42×C131—41no—
569C42×C131—41no—
570C42×C131—41no—
571C42×C131—41no—
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×C131—21no—
598C23×C131—21no—
599C23×C131—21no—
600C23×C131—21no—
601C23×C131—21no—
602C23×C131—21no—
603C23×C131—21no—
604C23×C131—21no—
605C23×C131—21no—
606C23×C131—21no—
607C23×C131—21no—
608C23×C131—21no—
609C23×C131—21no—
610C23×C131—21no—
611C23×C131—44no—
612C23×C131—44no—
613C23×C131—44no—
614C23×C131—44no—
615C23×C131—44no—
616C23×C131—44no—
617C23×C131—44no—
618C23×C131C2×#4112yes—
619C23×C131H(5,𝔽2)12yes—
620C23×C1312−1+412yes—
621C23×C131C2511yescharacteristic
622Q8×C131—82no—
623Q8×C131—82no—
624D4×C131—44no—
625D4×C131—44no—
626D4×C131—44no—
627D4×C131—82no—
628D4×C131—82no—
629D4×C131—82no—
630D4×C131—82no—
631D4×C131—82no—
632D4×C131—82no—
633D4×C131—82no—
634D4×C131—82no—
635D4×C131—82no—
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—21no—
694C2×C4×C131—21no—
695C2×C4×C131—21no—
696C2×C4×C131—21no—
697C2×C4×C131—21no—
698C2×C4×C131—21no—
699C2×C4×C131—21no—
700C2×C4×C131—21no—
701C2×C4×C131—21no—
702C2×C4×C131—21no—
703C2×C4×C131—21no—
704C2×C4×C131—21no—
705C2×C4×C131—21no—
706C2×C4×C131—44no—
707C2×C4×C131—44no—
708C2×C4×C131—44no—
709C2×C4×C131—44no—
710C2×C4×C131—44no—
711C2×C4×C131—44no—
712C2×C4×C131—82no—
713C2×C4×C131—82no—
714C2×C4×C131—82no—
715C2×C4×C131C2×#4112yes—
716C2×C4×C131C2×#4112yes—
717C2×C4×C131H(5,𝔽2)12yes—
718C2×C4×C131H(5,𝔽2)12yes—
719C2×C4×C131H(5,𝔽2)12yes—
720C22×C131—22no—
721C22×C131—22no—
722C22×C131—22no—
723C22×C131—22no—
724C22×C131—22no—
725C22×C131—22no—
726C22×C131—22no—
727C22×C131—22no—
728C22×C131—22no—
729C22×C131—416no—
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×C131—41no—
750C22×C131—41no—
751C22×C131—41no—
752C22×C131—41no—
753C22×C131—41no—
754C22×C131—41no—
755C22×C131—41no—
756C22×C131—41no—
757C22×C131—41no—
758C22×C131—41no—
759C22×C131—41no—
760C22×C131—41no—
761C22×C131—41no—
762C22×C131—41no—
763C22×C131C22×#4111yescharacteristic
764C22×C131C2×H(5,𝔽2)11yescharacteristic
765C22×C131C2×H(5,𝔽2)11yescharacteristic
766C22×C131C2×H(5,𝔽2)11yescharacteristic
767C22×C131C2×H(5,𝔽2)11yescharacteristic
768C22×C131C2×2−1+411yescharacteristic
769C22×C131#58511yescharacteristic
770C4×C131—22no—
771C4×C131—22no—
772C4×C131—22no—
773C4×C131—22no—
774C4×C131—22no—
775C4×C131—41no—
776C4×C131—41no—
777C4×C131—41no—
778C4×C131—41no—
779C4×C131—41no—
780C4×C131—41no—
781C4×C131—41no—
782C4×C131—41no—
783C4×C131—41no—
784C4×C131—41no—
785C4×C131—41no—
786C4×C131—41no—
787C4×C131—41no—
788C4×C131—41no—
789C4×C131—41no—
790C4×C131—41no—
791C4×C131—41no—
792C4×C131—41no—
793C4×C131—41no—
794C4×C131—41no—
795C2×C131—42no—
796C2×C131—42no—
797C2×C131—42no—
798C2×C131—81no—
799C2×C131—81no—
800C2×C131—81no—
801C2×C131#346011yescharacteristic
802C2×C131#351911yescharacteristic
803C2×C131#352011yescharacteristic
804C2×C131#353211yescharacteristic
805C2×C131#353611yescharacteristic
806C2×C131#354111yescharacteristic
807C2×C131#354211yescharacteristic
808#36904C13111yesmaximal, characteristic, direct product factor, Sylow
809C131#3690411yescharacteristic, direct product factor, Sylow
810#2848C2×C13111yescharacteristic, complemented
811#2847C2×C13111yescharacteristic, complemented
812#2780C2×C13111yescharacteristic, complemented
813#2770C2×C13111yescharacteristic, complemented
814#2756C2×C13111yescharacteristic, complemented
815#2741C2×C13111yescharacteristic, complemented
816#2730C2×C13111yescharacteristic, complemented
817#2715C2×C13111yescharacteristic, complemented
818#2711C2×C13111yescharacteristic, complemented
819#2704C2×C13111yescharacteristic, complemented
820#2697C2×C13111yescharacteristic, complemented
821#2692C2×C13111yescharacteristic, complemented
822#2685C2×C13111yescharacteristic, complemented
823#2678C2×C13111yescharacteristic, complemented
824#2676C2×C13111yescharacteristic, complemented
825#2672C2×C13111yescharacteristic, complemented
826#2671C2×C13111yescharacteristic, complemented
827#2670C2×C13111yescharacteristic, complemented
828#2636C2×C13111yescharacteristic, complemented
829#2630C2×C13111yescharacteristic, complemented
830#2574C2×C13111yescharacteristic, complemented
831#2560C2×C13111yescharacteristic, complemented
832#2559C2×C13111yescharacteristic, complemented
833#2553C2×C13111yescharacteristic, complemented
834#2464C2×C13111yescharacteristic, complemented
835#2461C2×C13111yescharacteristic, complemented
836#2454C2×C13111yescharacteristic, complemented
837#2427C2×C13111yescharacteristic, complemented
838#2337C2×C13111yescharacteristic, complemented
839#2335C2×C13111yescharacteristic, complemented
840C4×#120C2×C13111yescharacteristic, complemented
841C24×C4C22×C13111yescharacteristic
842C2×#126C22×C13111yescharacteristic
843C2×#126C22×C13111yescharacteristic, complemented
844C2×#125C22×C13111yescharacteristic, complemented
845C2×#124C22×C13111yescharacteristic
846C2×#124C22×C13111yescharacteristic
847C2×#124C22×C13111yescharacteristic, complemented
848C2×#123C22×C13111yescharacteristic
849C2×#123C22×C13111yescharacteristic
850C2×#123C22×C13111yescharacteristic, complemented
851C2×C22⋊Q8C22×C13111yescharacteristic
852C2×C22⋊Q8C22×C13111yescharacteristic
853C2×C22⋊Q8C22×C13111yescharacteristic
854C2×C22⋊Q8C22×C13111yescharacteristic, complemented
855C2×#121C22×C13111yescharacteristic
856C2×#121C22×C13111yescharacteristic
857C2×#121C22×C13111yescharacteristic
858C2×#121C22×C13111yescharacteristic
859C2×#121C22×C13111yescharacteristic, complemented
860C2×#120C22×C13111yescharacteristic
861C2×#120C22×C13111yescharacteristic
862C2×#120C22×C13111yescharacteristic
863C2×C4×D4C22×C13111yescharacteristic
864C2×C4×D4C22×C13111yescharacteristic
865C2×C4×D4C22×C13111yescharacteristic
866#400C22×C13111yescharacteristic, complemented
867#400C22×C13111yescharacteristic, complemented
868#399C22×C13111yescharacteristic
869#399C22×C13111yescharacteristic, complemented
870#399C22×C13111yescharacteristic, complemented
871#399C22×C13111yescharacteristic, complemented
872#398C22×C13111yescharacteristic, complemented
873#398C22×C13111yescharacteristic, complemented
874#398C22×C13111yescharacteristic, complemented
875#398C22×C13111yescharacteristic, complemented
876#398C22×C13111yescharacteristic, complemented
877#397C22×C13111yescharacteristic
878#397C22×C13111yescharacteristic
879#397C22×C13111yescharacteristic
880#397C22×C13111yescharacteristic, complemented
881#397C22×C13111yescharacteristic, complemented
882#396C22×C13111yescharacteristic
883#396C22×C13111yescharacteristic
884#396C22×C13111yescharacteristic
885#396C22×C13111yescharacteristic
886#396C22×C13111yescharacteristic, complemented
887#396C22×C13111yescharacteristic, complemented
888#396C22×C13111yescharacteristic, complemented
889#396C22×C13111yescharacteristic, complemented
890#395C22×C13111yescharacteristic, complemented
891#395C22×C13111yescharacteristic, complemented
892#394C22×C13111yescharacteristic
893#394C22×C13111yescharacteristic
894#394C22×C13111yescharacteristic
895#394C22×C13111yescharacteristic
896#394C22×C13111yescharacteristic
897#394C22×C13111yescharacteristic
898#394C22×C13111yescharacteristic
899#394C22×C13111yescharacteristic
900#394C22×C13111yescharacteristic
901#394C22×C13111yescharacteristic
902#394C22×C13111yescharacteristic, complemented
903#394C22×C13111yescharacteristic, complemented
904#394C22×C13111yescharacteristic, complemented
905#394C22×C13111yescharacteristic, complemented
906#394C22×C13111yescharacteristic, complemented
907#393C22×C13111yescharacteristic
908#393C22×C13111yescharacteristic, complemented
909#392C22×C13111yescharacteristic
910#392C22×C13111yescharacteristic
911#392C22×C13111yescharacteristic
912#392C22×C13111yescharacteristic
913#392C22×C13111yescharacteristic
914#391C22×C13111yescharacteristic, complemented
915#391C22×C13111yescharacteristic, complemented
916#391C22×C13111yescharacteristic, complemented
917#390C22×C13111yescharacteristic
918#390C22×C13111yescharacteristic
919#390C22×C13111yescharacteristic
920#390C22×C13111yescharacteristic
921#390C22×C13111yescharacteristic
922#390C22×C13111yescharacteristic
923#390C22×C13111yescharacteristic
924#389C22×C13111yescharacteristic, complemented
925#389C22×C13111yescharacteristic, complemented
926#389C22×C13111yescharacteristic, complemented
927#389C22×C13111yescharacteristic, complemented
928#388C22×C13111yescharacteristic
929#388C22×C13111yescharacteristic
930#388C22×C13111yescharacteristic
931#388C22×C13111yescharacteristic
932#388C22×C13111yescharacteristic
933#388C22×C13111yescharacteristic
934#388C22×C13111yescharacteristic
935#388C22×C13111yescharacteristic
936#388C22×C13111yescharacteristic, complemented
937#388C22×C13111yescharacteristic, complemented
938#388C22×C13111yescharacteristic, complemented
939#388C22×C13111yescharacteristic, complemented
940#388C22×C13111yescharacteristic, complemented
941#388C22×C13111yescharacteristic, complemented
942#388C22×C13111yescharacteristic, complemented
943#388C22×C13111yescharacteristic, complemented
944#387C22×C13111yescharacteristic, complemented
945#387C22×C13111yescharacteristic, complemented
946#387C22×C13111yescharacteristic, complemented
947#387C22×C13111yescharacteristic, complemented
948#387C22×C13111yescharacteristic, complemented
949#387C22×C13111yescharacteristic, complemented
950#386C22×C13111yescharacteristic
951#386C22×C13111yescharacteristic
952#386C22×C13111yescharacteristic
953#386C22×C13111yescharacteristic
954#386C22×C13111yescharacteristic
955#386C22×C13111yescharacteristic
956#386C22×C13111yescharacteristic
957#386C22×C13111yescharacteristic
958#386C22×C13111yescharacteristic
959#386C22×C13111yescharacteristic
960#386C22×C13111yescharacteristic
961#386C22×C13111yescharacteristic
962#386C22×C13111yescharacteristic, complemented
963#386C22×C13111yescharacteristic, complemented
964#385C22×C13111yescharacteristic
965#385C22×C13111yescharacteristic
966#385C22×C13111yescharacteristic
967#385C22×C13111yescharacteristic
968#385C22×C13111yescharacteristic
969#385C22×C13111yescharacteristic
970#385C22×C13111yescharacteristic
971#385C22×C13111yescharacteristic
972#385C22×C13111yescharacteristic
973#385C22×C13111yescharacteristic, complemented
974#385C22×C13111yescharacteristic, complemented
975#385C22×C13111yescharacteristic, complemented
976#383C22×C13111yescharacteristic, complemented
977#382C22×C13111yescharacteristic, complemented
978#380C22×C13111yescharacteristic
979#380C22×C13111yescharacteristic
980#380C22×C13111yescharacteristic
981#380C22×C13111yescharacteristic
982#380C22×C13111yescharacteristic
983#380C22×C13111yescharacteristic
984#380C22×C13111yescharacteristic, complemented
985#380C22×C13111yescharacteristic, complemented
986#379C22×C13111yescharacteristic
987#379C22×C13111yescharacteristic
988#379C22×C13111yescharacteristic
989C4×C4⋊C4C22×C13111yescharacteristic, complemented
990C4×C4⋊C4C22×C13111yescharacteristic, complemented
991C4×C22⋊C4C22×C13111yescharacteristic
992C4×C22⋊C4C22×C13111yescharacteristic
993C4×C22⋊C4C22×C13111yescharacteristic
994C4×C22⋊C4C22×C13111yescharacteristic, complemented
995C4×C22⋊C4C22×C13111yescharacteristic, complemented
996C25C23×C13111yescharacteristic
997C22×Q8C23×C13111yescharacteristic
998C22×Q8C23×C13111yescharacteristic
999C22×D4C23×C13111yescharacteristic
1000C22×D4C23×C13111yescharacteristic
1001C22×D4C23×C13111yescharacteristic
1002C22×D4C23×C13111yescharacteristic
1003C22×D4C23×C13111yescharacteristic
1004C22×D4C23×C13111yescharacteristic
1005C22×D4C23×C13111yescharacteristic
1006C22×D4C23×C13111yescharacteristic
1007C22×D4C23×C13111yescharacteristic
1008C22×D4C23×C13111yescharacteristic
1009C22×D4C23×C13111yescharacteristic
1010C22×D4C23×C13111yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C13111yescharacteristic
1015C23×C4C23×C13111yescharacteristic
1016C23×C4C23×C13111yescharacteristic
1017C23×C4C23×C13111yescharacteristic
1018C23×C4C23×C13111yescharacteristic
1019C23×C4C23×C13111yescharacteristic
1020C23×C4C23×C13111yescharacteristic
1021C23×C4C23×C13111yescharacteristic
1022C23×C4C23×C13111yescharacteristic
1023#126—42no—
1024#126—42no—
1025#125—42no—
1026#124—24no—
1027#124—42no—
1028#124—42no—
1029#123—24no—
1030#123—42no—
1031#123—42no—
1032C22⋊Q8—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#120—24no—
1042#120—42no—
1043#120—42no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—42no—
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×C4⋊C4C23×C13111yescharacteristic
1056C2×C4⋊C4C23×C13111yescharacteristic
1057C2×C4⋊C4C23×C13111yescharacteristic
1058C2×C4⋊C4C23×C13111yescharacteristic
1059C2×C4⋊C4C23×C13111yescharacteristic
1060C2×C4⋊C4C23×C13111yescharacteristic
1061C2×C4⋊C4C23×C13111yescharacteristic
1062C2×C4⋊C4C23×C13111yescharacteristic
1063C2×C4⋊C4C23×C13111yescharacteristic
1064C2×C4⋊C4C23×C13111yescharacteristic
1065C2×C4⋊C4C23×C13111yescharacteristic
1066C2×C4⋊C4C23×C13111yescharacteristic
1067C2×C4⋊C4C23×C13111yescharacteristic
1068C2×C4⋊C4C23×C13111yescharacteristic
1069C2×C4⋊C4C23×C13111yescharacteristic
1070C2×C4⋊C4C23×C13111yescharacteristic
1071C2×C4⋊C4C23×C13111yescharacteristic
1072C2×C4⋊C4C23×C13111yescharacteristic
1073C2×C4⋊C4C23×C13111yescharacteristic
1074C2×C4⋊C4C23×C13111yescharacteristic
1075C2×C4⋊C4C23×C13111yescharacteristic
1076C2×C4⋊C4C23×C13111yescharacteristic
1077C2×C4⋊C4C23×C13111yescharacteristic
1078C2×C4⋊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×C22⋊C4C23×C13111yescharacteristic
1108C2×C22⋊C4C23×C13111yescharacteristic
1109C2×C22⋊C4C23×C13111yescharacteristic
1110C2×C22⋊C4C23×C13111yescharacteristic
1111C2×C22⋊C4C23×C13111yescharacteristic
1112C2×C22⋊C4C23×C13111yescharacteristic
1113C2×C22⋊C4C23×C13111yescharacteristic
1114C2×C22⋊C4C23×C13111yescharacteristic
1115C2×C22⋊C4C23×C13111yescharacteristic
1116C2×C22⋊C4C23×C13111yescharacteristic
1117C2×C22⋊C4C23×C13111yescharacteristic
1118C2×C22⋊C4C23×C13111yescharacteristic
1119C2×C22⋊C4C23×C13111yescharacteristic
1120C2×C22⋊C4C23×C13111yescharacteristic
1121C2×C22⋊C4C23×C13111yescharacteristic
1122C2×C22⋊C4C23×C13111yescharacteristic
1123C2×C22⋊C4C23×C13111yescharacteristic
1124C2×C22⋊C4C23×C13111yescharacteristic
1125C2×C22⋊C4C23×C13111yescharacteristic
1126C2×C22⋊C4C23×C13111yescharacteristic
1127C2×C22⋊C4C23×C13111yescharacteristic
1128C2×C22⋊C4C23×C13111yescharacteristic
1129C2×C22⋊C4C23×C13111yescharacteristic
1130C2×C22⋊C4C23×C13111yescharacteristic
1131C2×C22⋊C4C23×C13111yescharacteristic
1132C2×C22⋊C4C23×C13111yescharacteristic
1133C2×C42C23×C13111yescharacteristic
1134C2×C42C23×C13111yescharacteristic
1135C2×C42C23×C13111yescharacteristic
1136C2×C42C23×C13111yescharacteristic
1137C2×C42C23×C13111yescharacteristic
1138C2×C42C23×C13111yescharacteristic
1139C2×C42C23×C13111yescharacteristic
1140C2×C42C23×C13111yescharacteristic
1141C2×C42C23×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
1158#95C23×C13111yescharacteristic
1159#95C23×C13111yescharacteristic
1160#95C23×C13111yescharacteristic
1161#95C23×C13111yescharacteristic
1162#95C23×C13111yescharacteristic
1163#95C23×C13111yescharacteristic
1164#95C23×C13111yescharacteristic
1165#95C23×C13111yescharacteristic
1166#95C23×C13111yescharacteristic
1167#95C23×C13111yescharacteristic
1168#95C23×C13111yescharacteristic
1169#95C23×C13111yescharacteristic
1170#95C23×C13111yescharacteristic
1171#95C23×C13111yescharacteristic
1172#95C23×C13111yescharacteristic
1173#95C23×C13111yescharacteristic
1174#95C23×C13111yescharacteristic
1175#95C23×C13111yescharacteristic
1176#95C23×C13111yescharacteristic
1177#95C23×C13111yescharacteristic
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C24×C13111yescharacteristic
1186C24C24×C13111yescharacteristic
1187C24C24×C13111yescharacteristic
1188C24C24×C13111yescharacteristic
1189C24C24×C13111yescharacteristic
1190C24C24×C13111yescharacteristic
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—416no—
1261C22×C4C24×C13111yescharacteristic
1262C22×C4C24×C13111yescharacteristic
1263C22×C4C24×C13111yescharacteristic
1264C22×C4C24×C13111yescharacteristic
1265C22×C4C24×C13111yescharacteristic
1266C22×C4C24×C13111yescharacteristic
1267C22×C4C24×C13111yescharacteristic
1268C22×C4C24×C13111yescharacteristic
1269C22×C4C24×C13111yescharacteristic
1270C22×C4C24×C13111yescharacteristic
1271C22×C4C24×C13111yescharacteristic
1272C22×C4C24×C13111yescharacteristic
1273C22×C4C24×C13111yescharacteristic
1274C22×C4C24×C13111yescharacteristic
1275C22×C4C24×C13111yescharacteristic
1276C22×C4C24×C13111yescharacteristic
1277C22×C4C24×C13111yescharacteristic
1278C22×C4C24×C13111yescharacteristic
1279C22×C4C24×C13111yescharacteristic
1280C22×C4C24×C13111yescharacteristic
1281C22×C4C24×C13111yescharacteristic
1282C22×C4C24×C13111yescharacteristic
1283C22×C4C24×C13111yescharacteristic
1284C22×C4C24×C13111yescharacteristic
1285C22×C4C24×C13111yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
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—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4#41×C13114yes—
1372C42—22no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C13112yes—
1428C23H(5,𝔽2)×C13112yes—
1429C232−1+4×C13112yes—
1430C23C25×C13111yescharacteristic
1431Q8—82no—
1432Q8—82no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
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—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4C2×#41×C13112yes—
1525C2×C4C2×#41×C13112yes—
1526C2×C4H(5,𝔽2)×C13112yes—
1527C2×C4H(5,𝔽2)×C13112yes—
1528C2×C4H(5,𝔽2)×C13112yes—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22C22×#41×C13111yescharacteristic
1573C22C2×H(5,𝔽2)×C13111yescharacteristic
1574C22C2×H(5,𝔽2)×C13111yescharacteristic
1575C22C2×H(5,𝔽2)×C13111yescharacteristic
1576C22C2×H(5,𝔽2)×C13111yescharacteristic
1577C22C2×2−1+4×C13111yescharacteristic
1578C22#585×C13111yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C2—42no—
1605C2—42no—
1606C2—42no—
1607C2—81no—
1608C2—81no—
1609C2—81no—
1610C2#3460×C13111yescharacteristic
1611C2#3519×C13111yescharacteristic
1612C2#3520×C13111yescharacteristic
1613C2#3532×C13111yescharacteristic
1614C2#3536×C13111yescharacteristic
1615C2#3541×C13111yescharacteristic
1616C2#3542×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. #2848×C131C2semidirect
2. #2847×C131C2semidirect
3. #2780×C131C2semidirect
4. #2770×C131C2semidirect
5. #2756×C131C2semidirect
6. #2741×C131C2semidirect
7. #2730×C131C2semidirect
8. #2715×C131C2semidirect
9. #2711×C131C2semidirect
10. #2704×C131C2semidirect
11. #2697×C131C2semidirect
12. #2692×C131C2semidirect
13. #2685×C131C2semidirect
14. #2678×C131C2semidirect
15. #2676×C131C2semidirect
16. #2672×C131C2semidirect
17. #2671×C131C2semidirect
18. #2670×C131C2semidirect
19. #2636×C131C2semidirect
20. #2630×C131C2semidirect
21. #2574×C131C2semidirect
22. #2560×C131C2semidirect
23. #2559×C131C2semidirect
24. #2553×C131C2semidirect
25. #2464×C131C2semidirect
26. #2461×C131C2semidirect
27. #2454×C131C2semidirect
28. #2427×C131C2semidirect
29. #2337×C131C2semidirect
30. #2335×C131C2semidirect
31. C4×#120×C131C2semidirect
34. C2×#126×C131C22semidirect
35. C2×#125×C131C22semidirect
38. C2×#124×C131C22semidirect
41. C2×#123×C131C22semidirect
45. C2×C22⋊Q8×C131C22semidirect
50. C2×#121×C131C22semidirect
57. #400×C131C22semidirect
58. #400×C131C22semidirect
60. #399×C131C22semidirect
61. #399×C131C22semidirect
62. #399×C131C22semidirect
63. #398×C131C22semidirect
64. #398×C131C22semidirect
65. #398×C131C22semidirect
66. #398×C131C22semidirect
67. #398×C131C22semidirect
71. #397×C131C22semidirect
72. #397×C131C22semidirect
77. #396×C131C22semidirect
78. #396×C131C22semidirect
79. #396×C131C22semidirect
80. #396×C131C22semidirect
81. #395×C131C22semidirect
82. #395×C131C22semidirect
93. #394×C131C22semidirect
94. #394×C131C22semidirect
95. #394×C131C22semidirect
96. #394×C131C22semidirect
97. #394×C131C22semidirect
99. #393×C131C22semidirect
105. #391×C131C22semidirect
106. #391×C131C22semidirect
107. #391×C131C22semidirect
115. #389×C131C22semidirect
116. #389×C131C22semidirect
117. #389×C131C22semidirect
118. #389×C131C22semidirect
127. #388×C131C22semidirect
128. #388×C131C22semidirect
129. #388×C131C22semidirect
130. #388×C131C22semidirect
131. #388×C131C22semidirect
132. #388×C131C22semidirect
133. #388×C131C22semidirect
134. #388×C131C22semidirect
135. #387×C131C22semidirect
136. #387×C131C22semidirect
137. #387×C131C22semidirect
138. #387×C131C22semidirect
139. #387×C131C22semidirect
140. #387×C131C22semidirect
153. #386×C131C22semidirect
154. #386×C131C22semidirect
164. #385×C131C22semidirect
165. #385×C131C22semidirect
166. #385×C131C22semidirect
167. #383×C131C22semidirect
168. #382×C131C22semidirect
175. #380×C131C22semidirect
176. #380×C131C22semidirect
180. C4×C4⋊C4×C131C22semidirect
181. C4×C4⋊C4×C131C22semidirect
185. C4×C22⋊C4×C131C22semidirect
186. C4×C22⋊C4×C131C22semidirect
808. #36904C131direct (N × H)
809. C131#36904direct (N × H)
810. #2848C2×C131semidirect
811. #2847C2×C131semidirect
812. #2780C2×C131semidirect
813. #2770C2×C131semidirect
814. #2756C2×C131semidirect
815. #2741C2×C131semidirect
816. #2730C2×C131semidirect
817. #2715C2×C131semidirect
818. #2711C2×C131semidirect
819. #2704C2×C131semidirect
820. #2697C2×C131semidirect
821. #2692C2×C131semidirect
822. #2685C2×C131semidirect
823. #2678C2×C131semidirect
824. #2676C2×C131semidirect
825. #2672C2×C131semidirect
826. #2671C2×C131semidirect
827. #2670C2×C131semidirect
828. #2636C2×C131semidirect
829. #2630C2×C131semidirect
830. #2574C2×C131semidirect
831. #2560C2×C131semidirect
832. #2559C2×C131semidirect
833. #2553C2×C131semidirect
834. #2464C2×C131semidirect
835. #2461C2×C131semidirect
836. #2454C2×C131semidirect
837. #2427C2×C131semidirect
838. #2337C2×C131semidirect
839. #2335C2×C131semidirect
840. C4×#120C2×C131semidirect
843. C2×#126C22×C131semidirect
844. C2×#125C22×C131semidirect
847. C2×#124C22×C131semidirect
850. C2×#123C22×C131semidirect
854. C2×C22⋊Q8C22×C131semidirect
859. C2×#121C22×C131semidirect
866. #400C22×C131semidirect
867. #400C22×C131semidirect
869. #399C22×C131semidirect
870. #399C22×C131semidirect
871. #399C22×C131semidirect
872. #398C22×C131semidirect
873. #398C22×C131semidirect
874. #398C22×C131semidirect
875. #398C22×C131semidirect
876. #398C22×C131semidirect
880. #397C22×C131semidirect
881. #397C22×C131semidirect
886. #396C22×C131semidirect
887. #396C22×C131semidirect
888. #396C22×C131semidirect
889. #396C22×C131semidirect
890. #395C22×C131semidirect
891. #395C22×C131semidirect
902. #394C22×C131semidirect
903. #394C22×C131semidirect
904. #394C22×C131semidirect
905. #394C22×C131semidirect
906. #394C22×C131semidirect
908. #393C22×C131semidirect
914. #391C22×C131semidirect
915. #391C22×C131semidirect
916. #391C22×C131semidirect
924. #389C22×C131semidirect
925. #389C22×C131semidirect
926. #389C22×C131semidirect
927. #389C22×C131semidirect
936. #388C22×C131semidirect
937. #388C22×C131semidirect
938. #388C22×C131semidirect
939. #388C22×C131semidirect
940. #388C22×C131semidirect
941. #388C22×C131semidirect
942. #388C22×C131semidirect
943. #388C22×C131semidirect
944. #387C22×C131semidirect
945. #387C22×C131semidirect
946. #387C22×C131semidirect
947. #387C22×C131semidirect
948. #387C22×C131semidirect
949. #387C22×C131semidirect
962. #386C22×C131semidirect
963. #386C22×C131semidirect
973. #385C22×C131semidirect
974. #385C22×C131semidirect
975. #385C22×C131semidirect
976. #383C22×C131semidirect
977. #382C22×C131semidirect
984. #380C22×C131semidirect
985. #380C22×C131semidirect
989. C4×C4⋊C4C22×C131semidirect
990. C4×C4⋊C4C22×C131semidirect
994. C4×C22⋊C4C22×C131semidirect
995. C4×C22⋊C4C22×C131semidirect

Maximal subgroups

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

subgroupindex
#2848×C1312
#2847×C1312
#2780×C1312
#2770×C1312
#2756×C1312
#2741×C1312
#2730×C1312
#2715×C1312
#2711×C1312
#2704×C1312
#2697×C1312
#2692×C1312
#2685×C1312
#2678×C1312
#2676×C1312
#2672×C1312
#2671×C1312
#2670×C1312
#2636×C1312
#2630×C1312
#2574×C1312
#2560×C1312
#2559×C1312
#2553×C1312
#2464×C1312
#2461×C1312
#2454×C1312
#2427×C1312
#2337×C1312
#2335×C1312
C4×#120×C1312
#36904131