Finite Group Databasebeta

← C131×#36724 #45722608

Subgroups — C131×#36724 #45722608

Order 33536.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C131C211yesmaximal, characteristic, complemented
2C2×#525×C131C211yesmaximal, characteristic, complemented
3#2849×C131C211yesmaximal, characteristic, complemented
4#2847×C131C211yesmaximal, characteristic, complemented
5#2705×C131C211yesmaximal, characteristic, complemented
6#2702×C131C211yesmaximal, characteristic, complemented
7#2700×C131C211yesmaximal, characteristic, complemented
8#2699×C131C211yesmaximal, characteristic, complemented
9#2687×C131C211yesmaximal, characteristic, complemented
10#2682×C131C211yesmaximal, characteristic, complemented
11#2681×C131C211yesmaximal, characteristic, complemented
12#2681×C131C211yesmaximal, characteristic, complemented
13#2679×C131C211yesmaximal, characteristic, complemented
14#2678×C131C211yesmaximal, characteristic, complemented
15#2678×C131C211yesmaximal, characteristic, complemented
16#2678×C131C211yesmaximal, characteristic, complemented
17#2672×C131C211yesmaximal, characteristic, complemented
18#2670×C131C211yesmaximal, characteristic, complemented
19#2669×C131C211yesmaximal, characteristic, complemented
20#2669×C131C211yesmaximal, characteristic, complemented
21#2635×C131C211yesmaximal, characteristic, complemented
22#2630×C131C211yesmaximal, characteristic, complemented
23#2610×C131C211yesmaximal, characteristic, complemented
24#2603×C131C211yesmaximal, characteristic, complemented
25#2601×C131C211yesmaximal, characteristic, complemented
26#2600×C131C211yesmaximal, characteristic, complemented
27#2544×C131C211yesmaximal, characteristic, complemented
28#2534×C131C211yesmaximal, characteristic, complemented
29#2407×C131C211yesmaximal, characteristic, complemented
30#2404×C131C211yesmaximal, characteristic, complemented
31#2319×C131C211yesmaximal, characteristic, complemented
32C22×#41×C131C2211yescharacteristic
33C24×C4×C131C2211yescharacteristic, complemented
34#538×C131—28no—
35C2×#127×C131C2211yescharacteristic
36C2×#126×C131C2211yescharacteristic, complemented
37C2×#126×C131C2211yescharacteristic, complemented
38C2×#124×C131C2211yescharacteristic
39C2×#124×C131C2211yescharacteristic, complemented
40C2×#124×C131C2211yescharacteristic, complemented
41#525×C131—28no—
42C2×#123×C131C2211yescharacteristic
43C2×#123×C131C2211yescharacteristic
44C2×#123×C131C2211yescharacteristic
45C2×#123×C131C2211yescharacteristic
46C2×#123×C131C2211yescharacteristic, complemented
47C2×#123×C131C2211yescharacteristic, complemented
48C2×C22⋊Q8×C131C2211yescharacteristic, complemented
49C2×C22⋊Q8×C131C2211yescharacteristic, complemented
50C2×C22⋊Q8×C131C2211yescharacteristic, complemented
51C2×C22⋊Q8×C131C2211yescharacteristic, complemented
52C2×#121×C131C2211yescharacteristic
53C2×#121×C131C2211yescharacteristic
54C2×#121×C131C2211yescharacteristic
55C2×#121×C131C2211yescharacteristic
56C2×#121×C131C2211yescharacteristic
57C2×#121×C131C2211yescharacteristic
58C2×#121×C131C2211yescharacteristic
59C2×#121×C131C2211yescharacteristic, complemented
60C2×#120×C131C2211yescharacteristic
61C2×#120×C131C2211yescharacteristic
62C2×#120×C131C2211yescharacteristic
63C2×#120×C131C2211yescharacteristic
64C2×#120×C131C2211yescharacteristic
65C2×#120×C131C2211yescharacteristic
66C2×#120×C131C2211yescharacteristic, complemented
67C2×#120×C131C2211yescharacteristic, complemented
68C2×#120×C131C2211yescharacteristic, complemented
69C2×#120×C131C2211yescharacteristic, complemented
70C2×C4×D4×C131C2211yescharacteristic
71C2×C4×D4×C131C2211yescharacteristic
72C2×C4×D4×C131C2211yescharacteristic, complemented
73C2×C4×D4×C131C2211yescharacteristic, complemented
74C2×C4×D4×C131C2211yescharacteristic, complemented
75C2×#117×C131C2211yescharacteristic, complemented
76C22×C22⋊C4×C131C2211yescharacteristic, complemented
77#400×C131C2211yescharacteristic, complemented
78#399×C131C2211yescharacteristic, complemented
79#398×C131C2211yescharacteristic, complemented
80#398×C131C2211yescharacteristic, complemented
81#398×C131C2211yescharacteristic, complemented
82#397×C131C2211yescharacteristic, complemented
83#397×C131C2211yescharacteristic, complemented
84#397×C131C2211yescharacteristic, complemented
85#396×C131C2211yescharacteristic, complemented
86#396×C131C2211yescharacteristic, complemented
87#396×C131C2211yescharacteristic, complemented
88#396×C131C2211yescharacteristic, complemented
89#396×C131C2211yescharacteristic, complemented
90#396×C131C2211yescharacteristic, complemented
91#395×C131C2211yescharacteristic, complemented
92#394×C131C2211yescharacteristic
93#394×C131C2211yescharacteristic
94#394×C131C2211yescharacteristic
95#394×C131C2211yescharacteristic
96#394×C131C2211yescharacteristic
97#394×C131C2211yescharacteristic
98#394×C131C2211yescharacteristic
99#394×C131C2211yescharacteristic
100#394×C131C2211yescharacteristic, complemented
101#394×C131C2211yescharacteristic, complemented
102#394×C131C2211yescharacteristic, complemented
103#394×C131C2211yescharacteristic, complemented
104#394×C131C2211yescharacteristic, complemented
105#394×C131C2211yescharacteristic, complemented
106#394×C131C2211yescharacteristic, complemented
107#394×C131C2211yescharacteristic, complemented
108#394×C131C2211yescharacteristic, complemented
109#394×C131C2211yescharacteristic, complemented
110#394×C131C2211yescharacteristic, complemented
111#393×C131C2211yescharacteristic, complemented
112#393×C131C2211yescharacteristic, complemented
113#393×C131C2211yescharacteristic, complemented
114#392×C131C2211yescharacteristic
115#392×C131C2211yescharacteristic
116#392×C131C2211yescharacteristic
117#392×C131C2211yescharacteristic
118#392×C131C2211yescharacteristic
119#392×C131C2211yescharacteristic
120#392×C131C2211yescharacteristic
121#392×C131C2211yescharacteristic
122#392×C131C2211yescharacteristic, complemented
123#392×C131C2211yescharacteristic, complemented
124#392×C131C2211yescharacteristic, complemented
125#391×C131C2211yescharacteristic, complemented
126#391×C131C2211yescharacteristic, complemented
127#390×C131C2211yescharacteristic
128#390×C131C2211yescharacteristic
129#390×C131C2211yescharacteristic
130#390×C131C2211yescharacteristic
131#390×C131C2211yescharacteristic
132#390×C131C2211yescharacteristic, complemented
133#390×C131C2211yescharacteristic, complemented
134#390×C131C2211yescharacteristic, complemented
135#390×C131C2211yescharacteristic, complemented
136#389×C131C2211yescharacteristic, complemented
137#389×C131C2211yescharacteristic, complemented
138#389×C131C2211yescharacteristic, complemented
139#388×C131C2211yescharacteristic, complemented
140#388×C131C2211yescharacteristic, complemented
141#388×C131C2211yescharacteristic, complemented
142#388×C131C2211yescharacteristic, complemented
143#388×C131C2211yescharacteristic, complemented
144#388×C131C2211yescharacteristic, complemented
145#388×C131C2211yescharacteristic, complemented
146#388×C131C2211yescharacteristic, complemented
147#388×C131C2211yescharacteristic, complemented
148#388×C131C2211yescharacteristic, complemented
149#388×C131C2211yescharacteristic, complemented
150#388×C131C2211yescharacteristic, complemented
151#388×C131C2211yescharacteristic, complemented
152#388×C131C2211yescharacteristic, complemented
153#387×C131C2211yescharacteristic, complemented
154#387×C131C2211yescharacteristic, complemented
155#386×C131C2211yescharacteristic
156#386×C131C2211yescharacteristic
157#386×C131C2211yescharacteristic
158#386×C131C2211yescharacteristic
159#386×C131C2211yescharacteristic
160#386×C131C2211yescharacteristic
161#386×C131C2211yescharacteristic
162#386×C131C2211yescharacteristic
163#386×C131C2211yescharacteristic, complemented
164#386×C131C2211yescharacteristic, complemented
165#386×C131C2211yescharacteristic, complemented
166#386×C131C2211yescharacteristic, complemented
167#386×C131C2211yescharacteristic, complemented
168#386×C131C2211yescharacteristic, complemented
169#386×C131C2211yescharacteristic, complemented
170#386×C131C2211yescharacteristic, complemented
171#385×C131C2211yescharacteristic, complemented
172#385×C131C2211yescharacteristic, complemented
173#385×C131C2211yescharacteristic, complemented
174#385×C131C2211yescharacteristic, complemented
175#385×C131C2211yescharacteristic, complemented
176#385×C131C2211yescharacteristic, complemented
177#381×C131C2211yescharacteristic, complemented
178#381×C131C2211yescharacteristic, complemented
179#381×C131C2211yescharacteristic, complemented
180#381×C131C2211yescharacteristic, complemented
181#380×C131C2211yescharacteristic, complemented
182#380×C131C2211yescharacteristic, complemented
183#380×C131C2211yescharacteristic, complemented
184#380×C131C2211yescharacteristic, complemented
185#379×C131C2211yescharacteristic, complemented
186#379×C131C2211yescharacteristic, complemented
187C4×C4⋊C4×C131C2211yescharacteristic, complemented
188#376×C131C2211yescharacteristic, complemented
189C25×C131C2311yescharacteristic
190C25×C131C2311yescharacteristic
191C2×#41×C131—24no—
192C2×#41×C131—42no—
193C2×#41×C131—42no—
194C22×Q8×C131C2311yescharacteristic
195C22×Q8×C131C2311yescharacteristic
196C22×D4×C131C2311yescharacteristic
197C22×D4×C131C2311yescharacteristic
198C22×D4×C131C2311yescharacteristic
199C22×D4×C131C2311yescharacteristic
200C22×D4×C131C2311yescharacteristic
201C22×D4×C131C2311yescharacteristic
202C22×D4×C131C2311yescharacteristic
203C22×D4×C131C2311yescharacteristic
204C22×D4×C131C2311yescharacteristic
205C22×D4×C131C2311yescharacteristic
206C22×D4×C131C2311yescharacteristic
207C22×D4×C131C2311yescharacteristic
208C22×D4×C131C2311yescharacteristic
209C22×D4×C131C2311yescharacteristic
210C22×D4×C131C2311yescharacteristic
211C22×D4×C131C2311yescharacteristic
212C22×D4×C131C2311yescharacteristic
213C22×D4×C131C2311yescharacteristic
214C22×D4×C131C2311yescharacteristic
215C22×D4×C131C2311yescharacteristic
216C22×D4×C131C2311yescharacteristic
217C22×D4×C131C2311yescharacteristic
218C23×C4×C131—24no—
219C23×C4×C131—42no—
220C23×C4×C131—42no—
221C23×C4×C131C2311yescharacteristic
222C23×C4×C131C2311yescharacteristic
223C23×C4×C131C2311yescharacteristic
224C23×C4×C131C2311yescharacteristic
225C23×C4×C131C2311yescharacteristic
226C23×C4×C131C2311yescharacteristic
227C23×C4×C131C2311yescharacteristic
228C23×C4×C131C2311yescharacteristic
229C23×C4×C131C2311yescharacteristic
230C23×C4×C131C2311yescharacteristic
231#127×C131—42no—
232#126×C131—24no—
233#126×C131—24no—
234#124×C131—24no—
235#124×C131—24no—
236#124×C131—42no—
237#123×C131—24no—
238#123×C131—24no—
239#123×C131—24no—
240#123×C131—24no—
241#123×C131—42no—
242#123×C131—42no—
243C22⋊Q8×C131—24no—
244C22⋊Q8×C131—24no—
245C22⋊Q8×C131—24no—
246C22⋊Q8×C131—42no—
247#121×C131—24no—
248#121×C131—24no—
249#121×C131—24no—
250#121×C131—24no—
251#121×C131—24no—
252#121×C131—42no—
253#121×C131—42no—
254#121×C131—42no—
255#120×C131—24no—
256#120×C131—24no—
257#120×C131—24no—
258#120×C131—24no—
259#120×C131—42no—
260#120×C131—42no—
261#120×C131—42no—
262#120×C131—42no—
263#120×C131—42no—
264#120×C131—42no—
265C4×D4×C131—24no—
266C4×D4×C131—24no—
267C4×D4×C131—24no—
268C4×D4×C131—24no—
269C4×D4×C131D418yescomplemented
270#117×C131—24no—
271C2×C4⋊C4×C131C2311yescharacteristic
272C2×C4⋊C4×C131C2311yescharacteristic
273C2×C4⋊C4×C131C2311yescharacteristic
274C2×C4⋊C4×C131C2311yescharacteristic
275C2×C4⋊C4×C131C2311yescharacteristic
276C2×C4⋊C4×C131C2311yescharacteristic
277C2×C4⋊C4×C131C2311yescharacteristic
278C2×C4⋊C4×C131C2311yescharacteristic
279C2×C4⋊C4×C131C2311yescharacteristic
280C2×C4⋊C4×C131C2311yescharacteristic
281C2×C4⋊C4×C131C2311yescharacteristic
282C2×C4⋊C4×C131C2311yescharacteristic
283C2×C4⋊C4×C131C2311yescharacteristic
284C2×C4⋊C4×C131C2311yescharacteristic
285C2×C4⋊C4×C131C2311yescharacteristic
286C2×C4⋊C4×C131C2311yescharacteristic
287C2×C4⋊C4×C131C2311yescharacteristic
288C2×C4⋊C4×C131C2311yescharacteristic
289C2×C4⋊C4×C131C2311yescharacteristic
290C2×C4⋊C4×C131C2311yescharacteristic
291C2×C4⋊C4×C131C2311yescharacteristic
292C2×C4⋊C4×C131C2311yescharacteristic
293C2×C4⋊C4×C131C2311yescharacteristic
294C2×C4⋊C4×C131C2311yescharacteristic
295C2×C22⋊C4×C131—24no—
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×C22⋊C4×C131C2311yescharacteristic
325C2×C22⋊C4×C131C2311yescharacteristic
326C2×C22⋊C4×C131C2311yescharacteristic
327C2×C22⋊C4×C131C2311yescharacteristic
328C2×C22⋊C4×C131C2311yescharacteristic
329C2×C22⋊C4×C131C2311yescharacteristic
330C2×C22⋊C4×C131C2311yescharacteristic
331C2×C22⋊C4×C131C2311yescharacteristic
332C2×C22⋊C4×C131C2311yescharacteristic
333C2×C22⋊C4×C131C2311yescharacteristic
334C2×C22⋊C4×C131C2311yescharacteristic
335C2×C22⋊C4×C131C2311yescharacteristic
336C2×C22⋊C4×C131C2311yescharacteristic
337C2×C22⋊C4×C131C2311yescharacteristic
338C2×C22⋊C4×C131C2311yescharacteristic
339C2×C22⋊C4×C131C2311yescharacteristic
340C2×C22⋊C4×C131C2311yescharacteristic
341C2×C22⋊C4×C131C2311yescharacteristic
342C2×C22⋊C4×C131C2311yescharacteristic
343C2×C22⋊C4×C131C2311yescharacteristic
344C2×C22⋊C4×C131C2311yescharacteristic
345C2×C22⋊C4×C131C2311yescharacteristic
346C2×C22⋊C4×C131C2311yescharacteristic
347C2×C22⋊C4×C131C2311yescharacteristic
348C2×C22⋊C4×C131C2311yescharacteristic
349C2×C22⋊C4×C131C2311yescharacteristic
350C2×C22⋊C4×C131C2311yescharacteristic
351C2×C22⋊C4×C131C2311yescharacteristic
352C2×C22⋊C4×C131C2311yescharacteristic
353C2×C22⋊C4×C131C2311yescharacteristic
354C2×C22⋊C4×C131C2311yescharacteristic
355C2×C22⋊C4×C131C2311yescharacteristic
356C2×C42×C131C2311yescharacteristic
357C2×C42×C131C2311yescharacteristic
358C2×C42×C131C2311yescharacteristic
359C2×C42×C131C2311yescharacteristic
360C2×C42×C131C2311yescharacteristic
361C2×C42×C131C2311yescharacteristic
362C2×C42×C131C2311yescharacteristic
363#95×C131C2311yescharacteristic
364#95×C131C2311yescharacteristic
365#95×C131C2311yescharacteristic
366#95×C131C2311yescharacteristic
367#95×C131C2311yescharacteristic
368#95×C131C2311yescharacteristic
369#95×C131C2311yescharacteristic
370#95×C131C2311yescharacteristic
371#95×C131C2311yescharacteristic
372#95×C131C2311yescharacteristic
373#95×C131C2311yescharacteristic
374#95×C131C2311yescharacteristic
375#95×C131C2311yescharacteristic
376#95×C131C2311yescharacteristic
377#95×C131C2311yescharacteristic
378#95×C131C2311yescharacteristic
379#95×C131C2311yescharacteristic
380#95×C131C2311yescharacteristic
381#95×C131C2311yescharacteristic
382#95×C131C2311yescharacteristic
383#95×C131C2311yescharacteristic
384#95×C131C2311yescharacteristic
385#95×C131C2311yescharacteristic
386#95×C131C2311yescharacteristic
387#95×C131C2311yescharacteristic
388#95×C131C2311yescharacteristic
389#95×C131C2311yescharacteristic
390#95×C131C2311yescharacteristic
391C24×C131—22no—
392C24×C131—22no—
393C24×C131—22no—
394C24×C131—22no—
395C24×C131—41no—
396C24×C131—41no—
397C24×C131—41no—
398C24×C131—41no—
399C24×C131—41no—
400C24×C131—41no—
401C24×C131—41no—
402C24×C131—41no—
403C24×C131—41no—
404C24×C131—41no—
405C24×C131C2411yescharacteristic
406C24×C131C2411yescharacteristic
407C24×C131C2411yescharacteristic
408C24×C131C2411yescharacteristic
409C24×C131C2411yescharacteristic
410C24×C131C2411yescharacteristic
411C24×C131C2411yescharacteristic
412C24×C131C2411yescharacteristic
413#41×C131—416no—
414C2×Q8×C131—22no—
415C2×Q8×C131—22no—
416C2×Q8×C131—22no—
417C2×Q8×C131—41no—
418C2×Q8×C131—41no—
419C2×Q8×C131—41no—
420C2×D4×C131—22no—
421C2×D4×C131—22no—
422C2×D4×C131—22no—
423C2×D4×C131—22no—
424C2×D4×C131—22no—
425C2×D4×C131—22no—
426C2×D4×C131—22no—
427C2×D4×C131—22no—
428C2×D4×C131—22no—
429C2×D4×C131—22no—
430C2×D4×C131—22no—
431C2×D4×C131—22no—
432C2×D4×C131—22no—
433C2×D4×C131—22no—
434C2×D4×C131—22no—
435C2×D4×C131—22no—
436C2×D4×C131—22no—
437C2×D4×C131—22no—
438C2×D4×C131—22no—
439C2×D4×C131—22no—
440C2×D4×C131—22no—
441C2×D4×C131—22no—
442C2×D4×C131—22no—
443C2×D4×C131—41no—
444C2×D4×C131—41no—
445C2×D4×C131—41no—
446C2×D4×C131—41no—
447C2×D4×C131—41no—
448C2×D4×C131—41no—
449C2×D4×C131—41no—
450C2×D4×C131—41no—
451C2×D4×C131—41no—
452C2×D4×C131—41no—
453C2×D4×C131—41no—
454C2×D4×C131—41no—
455C2×D4×C131—41no—
456C2×D4×C131—41no—
457C2×D4×C131—41no—
458C2×D4×C131—41no—
459C2×D4×C131—41no—
460C2×D4×C131—41no—
461C2×D4×C131—41no—
462C2×D4×C131—41no—
463C2×D4×C131—41no—
464C2×D4×C131—41no—
465C2×D4×C131—41no—
466C2×D4×C131—41no—
467C2×D4×C131—41no—
468C2×D4×C131—41no—
469C2×D4×C131—41no—
470C2×D4×C131—41no—
471C2×D4×C131—41no—
472C2×D4×C131—41no—
473C2×D4×C131—41no—
474C2×D4×C131—41no—
475C2×D4×C131—41no—
476C2×D4×C131—41no—
477C2×D4×C131—41no—
478C2×D4×C131—41no—
479C2×D4×C131—41no—
480C2×D4×C131—41no—
481C2×D4×C131—41no—
482C2×D4×C131—41no—
483C2×D4×C131—41no—
484C2×D4×C131—41no—
485C2×D4×C131C2×D414yes—
486C22×C4×C131—22no—
487C22×C4×C131—22no—
488C22×C4×C131—22no—
489C22×C4×C131—22no—
490C22×C4×C131—22no—
491C22×C4×C131—22no—
492C22×C4×C131—22no—
493C22×C4×C131—22no—
494C22×C4×C131—22no—
495C22×C4×C131—22no—
496C22×C4×C131—22no—
497C22×C4×C131—22no—
498C22×C4×C131—22no—
499C22×C4×C131—41no—
500C22×C4×C131—41no—
501C22×C4×C131—41no—
502C22×C4×C131—41no—
503C22×C4×C131—41no—
504C22×C4×C131—41no—
505C22×C4×C131—41no—
506C22×C4×C131—41no—
507C22×C4×C131—41no—
508C22×C4×C131—41no—
509C22×C4×C131—41no—
510C22×C4×C131—41no—
511C22×C4×C131—41no—
512C22×C4×C131—41no—
513C22×C4×C131—41no—
514C22×C4×C131—416no—
515C22×C4×C131C2×D414yes—
516C22×C4×C131C2×D414yes—
517C22×C4×C131C2411yescharacteristic
518C22×C4×C131C2411yescharacteristic
519C22×C4×C131C2411yescharacteristic
520C22×C4×C131C2411yescharacteristic
521C22×C4×C131C2411yescharacteristic
522C22×C4×C131C2411yescharacteristic
523C22×C4×C131C2411yescharacteristic
524C22×C4×C131C2411yescharacteristic
525C22×C4×C131C2411yescharacteristic
526C22×C4×C131C2411yescharacteristic
527C22×C4×C131C2411yescharacteristic
528C22×C4×C131C2411yescharacteristic
529C22×C4×C131C2411yescharacteristic
530C22×C4×C131C2411yescharacteristic
531C22×C4×C131C2411yescharacteristic
532C22×C4×C131C2411yescharacteristic
533C22×C4×C131C2411yescharacteristic
534C22×C4×C131C2411yescharacteristic
535C22×C4×C131C2411yescharacteristic
536C22×C4×C131C2411yescharacteristic
537C22×C4×C131C2411yescharacteristic
538C22×C4×C131C2411yescharacteristic
539C22×C4×C131C2411yescharacteristic
540C4⋊C4×C131—22no—
541C4⋊C4×C131—22no—
542C4⋊C4×C131—22no—
543C4⋊C4×C131—22no—
544C4⋊C4×C131—22no—
545C4⋊C4×C131—22no—
546C4⋊C4×C131—22no—
547C4⋊C4×C131—22no—
548C4⋊C4×C131—22no—
549C4⋊C4×C131—22no—
550C4⋊C4×C131—22no—
551C4⋊C4×C131—41no—
552C4⋊C4×C131—41no—
553C4⋊C4×C131—41no—
554C4⋊C4×C131—41no—
555C4⋊C4×C131—41no—
556C4⋊C4×C131—41no—
557C4⋊C4×C131—41no—
558C4⋊C4×C131—41no—
559C4⋊C4×C131—41no—
560C4⋊C4×C131—41no—
561C4⋊C4×C131—41no—
562C4⋊C4×C131—41no—
563C4⋊C4×C131C2×D414yes—
564C22⋊C4×C131—22no—
565C22⋊C4×C131—22no—
566C22⋊C4×C131—22no—
567C22⋊C4×C131—22no—
568C22⋊C4×C131—22no—
569C22⋊C4×C131—22no—
570C22⋊C4×C131—22no—
571C22⋊C4×C131—22no—
572C22⋊C4×C131—22no—
573C22⋊C4×C131—22no—
574C22⋊C4×C131—22no—
575C22⋊C4×C131—22no—
576C22⋊C4×C131—22no—
577C22⋊C4×C131—22no—
578C22⋊C4×C131—22no—
579C22⋊C4×C131—22no—
580C22⋊C4×C131—22no—
581C22⋊C4×C131—22no—
582C22⋊C4×C131—22no—
583C22⋊C4×C131—22no—
584C22⋊C4×C131—22no—
585C22⋊C4×C131—22no—
586C22⋊C4×C131—22no—
587C22⋊C4×C131—22no—
588C22⋊C4×C131—22no—
589C22⋊C4×C131—22no—
590C22⋊C4×C131—22no—
591C22⋊C4×C131—41no—
592C22⋊C4×C131—41no—
593C22⋊C4×C131—41no—
594C22⋊C4×C131—41no—
595C22⋊C4×C131—41no—
596C22⋊C4×C131—41no—
597C22⋊C4×C131—41no—
598C22⋊C4×C131—41no—
599C22⋊C4×C131—41no—
600C22⋊C4×C131—41no—
601C22⋊C4×C131—41no—
602C22⋊C4×C131—41no—
603C22⋊C4×C131—41no—
604C22⋊C4×C131—41no—
605C22⋊C4×C131—41no—
606C22⋊C4×C131—41no—
607C22⋊C4×C131—41no—
608C22⋊C4×C131—41no—
609C22⋊C4×C131—41no—
610C22⋊C4×C131—41no—
611C22⋊C4×C131—41no—
612C22⋊C4×C131—41no—
613C22⋊C4×C131—41no—
614C22⋊C4×C131—41no—
615C22⋊C4×C131—41no—
616C22⋊C4×C131—41no—
617C22⋊C4×C131—41no—
618C22⋊C4×C131—41no—
619C22⋊C4×C131—41no—
620C22⋊C4×C131—41no—
621C22⋊C4×C131—41no—
622C22⋊C4×C131C2×D414yes—
623C22⋊C4×C131C2×D414yes—
624C42×C131—22no—
625C42×C131—22no—
626C42×C131—41no—
627C42×C131—41no—
628C42×C131—41no—
629C42×C131—41no—
630C42×C131C2×D414yes—
631C23×C131—21no—
632C23×C131—21no—
633C23×C131—21no—
634C23×C131—21no—
635C23×C131—21no—
636C23×C131—21no—
637C23×C131—21no—
638C23×C131—21no—
639C23×C131—21no—
640C23×C131—21no—
641C23×C131—21no—
642C23×C131—21no—
643C23×C131—21no—
644C23×C131—21no—
645C23×C131—21no—
646C23×C131—21no—
647C23×C131—21no—
648C23×C131—21no—
649C23×C131—21no—
650C23×C131—21no—
651C23×C131—21no—
652C23×C131—21no—
653C23×C131—21no—
654C23×C131—21no—
655C23×C131—21no—
656C23×C131—21no—
657C23×C131—21no—
658C23×C131—21no—
659C23×C131—21no—
660C23×C131—21no—
661C23×C131—21no—
662C23×C131—21no—
663C23×C131—21no—
664C23×C131—21no—
665C23×C131—21no—
666C23×C131—21no—
667C23×C131—21no—
668C23×C131—21no—
669C23×C131—21no—
670C23×C131—21no—
671C23×C131—21no—
672C23×C131—21no—
673C23×C131—21no—
674C23×C131—21no—
675C23×C131—21no—
676C23×C131—21no—
677C23×C131—21no—
678C23×C131—21no—
679C23×C131—21no—
680C23×C131—21no—
681C23×C131—21no—
682C23×C131—21no—
683C23×C131—44no—
684C23×C131—44no—
685C23×C131—44no—
686C23×C131—44no—
687C23×C131—44no—
688C23×C131—44no—
689C23×C131—44no—
690C23×C131—44no—
691C23×C131—82no—
692C23×C131—82no—
693C23×C131—82no—
694C23×C131—82no—
695C23×C131—82no—
696C23×C131—82no—
697C23×C131C22×D412yes—
698C23×C131C22×D412yes—
699C23×C131H(5,𝔽2)12yes—
700C23×C131H(5,𝔽2)12yes—
701C23×C131C2511yescharacteristic
702Q8×C131—44no—
703Q8×C131—82no—
704D4×C131—44no—
705D4×C131—44no—
706D4×C131—44no—
707D4×C131—44no—
708D4×C131—44no—
709D4×C131—44no—
710D4×C131—44no—
711D4×C131—44no—
712D4×C131—82no—
713D4×C131—82no—
714D4×C131—82no—
715D4×C131—82no—
716D4×C131—82no—
717D4×C131—82no—
718D4×C131—82no—
719D4×C131—82no—
720D4×C131—82no—
721D4×C131—82no—
722D4×C131—82no—
723D4×C131—82no—
724D4×C131—82no—
725D4×C131—82no—
726C2×C4×C131—28no—
727C2×C4×C131—21no—
728C2×C4×C131—21no—
729C2×C4×C131—21no—
730C2×C4×C131—21no—
731C2×C4×C131—21no—
732C2×C4×C131—21no—
733C2×C4×C131—21no—
734C2×C4×C131—21no—
735C2×C4×C131—21no—
736C2×C4×C131—21no—
737C2×C4×C131—21no—
738C2×C4×C131—21no—
739C2×C4×C131—21no—
740C2×C4×C131—21no—
741C2×C4×C131—21no—
742C2×C4×C131—21no—
743C2×C4×C131—21no—
744C2×C4×C131—21no—
745C2×C4×C131—21no—
746C2×C4×C131—21no—
747C2×C4×C131—21no—
748C2×C4×C131—21no—
749C2×C4×C131—21no—
750C2×C4×C131—21no—
751C2×C4×C131—21no—
752C2×C4×C131—21no—
753C2×C4×C131—21no—
754C2×C4×C131—21no—
755C2×C4×C131—21no—
756C2×C4×C131—21no—
757C2×C4×C131—21no—
758C2×C4×C131—21no—
759C2×C4×C131—21no—
760C2×C4×C131—21no—
761C2×C4×C131—21no—
762C2×C4×C131—21no—
763C2×C4×C131—21no—
764C2×C4×C131—21no—
765C2×C4×C131—21no—
766C2×C4×C131—21no—
767C2×C4×C131—21no—
768C2×C4×C131—21no—
769C2×C4×C131—21no—
770C2×C4×C131—21no—
771C2×C4×C131—21no—
772C2×C4×C131—21no—
773C2×C4×C131—21no—
774C2×C4×C131—21no—
775C2×C4×C131—21no—
776C2×C4×C131—21no—
777C2×C4×C131—21no—
778C2×C4×C131—21no—
779C2×C4×C131—21no—
780C2×C4×C131—21no—
781C2×C4×C131—21no—
782C2×C4×C131—21no—
783C2×C4×C131—21no—
784C2×C4×C131—21no—
785C2×C4×C131—21no—
786C2×C4×C131—21no—
787C2×C4×C131—21no—
788C2×C4×C131—21no—
789C2×C4×C131—21no—
790C2×C4×C131—44no—
791C2×C4×C131—44no—
792C2×C4×C131—44no—
793C2×C4×C131—44no—
794C2×C4×C131—44no—
795C2×C4×C131—44no—
796C2×C4×C131—44no—
797C2×C4×C131—82no—
798C2×C4×C131—82no—
799C2×C4×C131C22×D412yes—
800C2×C4×C131C22×D412yes—
801C2×C4×C131C22×D412yes—
802C2×C4×C131C22×D412yes—
803C2×C4×C131C22×D412yes—
804C2×C4×C131H(5,𝔽2)12yes—
805C22×C131—22no—
806C22×C131—22no—
807C22×C131—22no—
808C22×C131—22no—
809C22×C131—22no—
810C22×C131—22no—
811C22×C131—22no—
812C22×C131—22no—
813C22×C131—22no—
814C22×C131—22no—
815C22×C131—22no—
816C22×C131—22no—
817C22×C131—416no—
818C22×C131—41no—
819C22×C131—41no—
820C22×C131—41no—
821C22×C131—41no—
822C22×C131—41no—
823C22×C131—41no—
824C22×C131—41no—
825C22×C131—41no—
826C22×C131—41no—
827C22×C131—41no—
828C22×C131—41no—
829C22×C131—41no—
830C22×C131—41no—
831C22×C131—41no—
832C22×C131—41no—
833C22×C131—41no—
834C22×C131—41no—
835C22×C131—41no—
836C22×C131—41no—
837C22×C131—41no—
838C22×C131—41no—
839C22×C131—41no—
840C22×C131—41no—
841C22×C131—41no—
842C22×C131—41no—
843C22×C131—41no—
844C22×C131—41no—
845C22×C131—41no—
846C22×C131—41no—
847C22×C131—41no—
848C22×C131—41no—
849C22×C131—41no—
850C22×C131—41no—
851C22×C131—41no—
852C22×C131—41no—
853C22×C131—41no—
854C22×C131—41no—
855C22×C131—41no—
856C22×C131—41no—
857C22×C131—41no—
858C22×C131—41no—
859C22×C131—41no—
860C22×C131—41no—
861C22×C131—41no—
862C22×C131—88no—
863C22×C131C23×D411yescharacteristic
864C22×C131C2×H(5,𝔽2)11yescharacteristic
865C22×C131C2×H(5,𝔽2)11yescharacteristic
866C22×C131C2×H(5,𝔽2)11yescharacteristic
867C22×C131#58511yescharacteristic
868C22×C131#58511yescharacteristic
869C22×C131#58511yescharacteristic
870C4×C131—22no—
871C4×C131—22no—
872C4×C131—22no—
873C4×C131—22no—
874C4×C131—22no—
875C4×C131—22no—
876C4×C131—41no—
877C4×C131—41no—
878C4×C131—41no—
879C4×C131—41no—
880C4×C131—41no—
881C4×C131—41no—
882C4×C131—41no—
883C4×C131—41no—
884C4×C131—41no—
885C4×C131—41no—
886C4×C131—41no—
887C4×C131—41no—
888C4×C131—41no—
889C4×C131—41no—
890C4×C131—41no—
891C4×C131—41no—
892C4×C131—41no—
893C2×C131—42no—
894C2×C131—42no—
895C2×C131—42no—
896C2×C131—42no—
897C2×C131—81no—
898C2×C131—81no—
899C2×C131—81no—
900C2×C131—81no—
901C2×C131#344911yescharacteristic
902C2×C131#348411yescharacteristic
903C2×C131#348811yescharacteristic
904C2×C131#353311yescharacteristic
905C2×C131#353411yescharacteristic
906C2×C131#354011yescharacteristic
907C2×C131#354211yescharacteristic
908#36724C13111yesmaximal, characteristic, direct product factor, Sylow
909C131#3672411yescharacteristic, direct product factor, Sylow
910C2×#538C2×C13111yescharacteristic, complemented
911C2×#525C2×C13111yescharacteristic, complemented
912#2849C2×C13111yescharacteristic, complemented
913#2847C2×C13111yescharacteristic, complemented
914#2705C2×C13111yescharacteristic, complemented
915#2702C2×C13111yescharacteristic, complemented
916#2700C2×C13111yescharacteristic, complemented
917#2699C2×C13111yescharacteristic, complemented
918#2687C2×C13111yescharacteristic, complemented
919#2682C2×C13111yescharacteristic, complemented
920#2681C2×C13111yescharacteristic, complemented
921#2681C2×C13111yescharacteristic, complemented
922#2679C2×C13111yescharacteristic, complemented
923#2678C2×C13111yescharacteristic, complemented
924#2678C2×C13111yescharacteristic, complemented
925#2678C2×C13111yescharacteristic, complemented
926#2672C2×C13111yescharacteristic, complemented
927#2670C2×C13111yescharacteristic, complemented
928#2669C2×C13111yescharacteristic, complemented
929#2669C2×C13111yescharacteristic, complemented
930#2635C2×C13111yescharacteristic, complemented
931#2630C2×C13111yescharacteristic, complemented
932#2610C2×C13111yescharacteristic, complemented
933#2603C2×C13111yescharacteristic, complemented
934#2601C2×C13111yescharacteristic, complemented
935#2600C2×C13111yescharacteristic, complemented
936#2544C2×C13111yescharacteristic, complemented
937#2534C2×C13111yescharacteristic, complemented
938#2407C2×C13111yescharacteristic, complemented
939#2404C2×C13111yescharacteristic, complemented
940#2319C2×C13111yescharacteristic, complemented
941C22×#41C22×C13111yescharacteristic
942C24×C4C22×C13111yescharacteristic, complemented
943#538—28no—
944C2×#127C22×C13111yescharacteristic
945C2×#126C22×C13111yescharacteristic, complemented
946C2×#126C22×C13111yescharacteristic, complemented
947C2×#124C22×C13111yescharacteristic
948C2×#124C22×C13111yescharacteristic, complemented
949C2×#124C22×C13111yescharacteristic, complemented
950#525—28no—
951C2×#123C22×C13111yescharacteristic
952C2×#123C22×C13111yescharacteristic
953C2×#123C22×C13111yescharacteristic
954C2×#123C22×C13111yescharacteristic
955C2×#123C22×C13111yescharacteristic, complemented
956C2×#123C22×C13111yescharacteristic, complemented
957C2×C22⋊Q8C22×C13111yescharacteristic, complemented
958C2×C22⋊Q8C22×C13111yescharacteristic, complemented
959C2×C22⋊Q8C22×C13111yescharacteristic, complemented
960C2×C22⋊Q8C22×C13111yescharacteristic, complemented
961C2×#121C22×C13111yescharacteristic
962C2×#121C22×C13111yescharacteristic
963C2×#121C22×C13111yescharacteristic
964C2×#121C22×C13111yescharacteristic
965C2×#121C22×C13111yescharacteristic
966C2×#121C22×C13111yescharacteristic
967C2×#121C22×C13111yescharacteristic
968C2×#121C22×C13111yescharacteristic, complemented
969C2×#120C22×C13111yescharacteristic
970C2×#120C22×C13111yescharacteristic
971C2×#120C22×C13111yescharacteristic
972C2×#120C22×C13111yescharacteristic
973C2×#120C22×C13111yescharacteristic
974C2×#120C22×C13111yescharacteristic
975C2×#120C22×C13111yescharacteristic, complemented
976C2×#120C22×C13111yescharacteristic, complemented
977C2×#120C22×C13111yescharacteristic, complemented
978C2×#120C22×C13111yescharacteristic, complemented
979C2×C4×D4C22×C13111yescharacteristic
980C2×C4×D4C22×C13111yescharacteristic
981C2×C4×D4C22×C13111yescharacteristic, complemented
982C2×C4×D4C22×C13111yescharacteristic, complemented
983C2×C4×D4C22×C13111yescharacteristic, complemented
984C2×#117C22×C13111yescharacteristic, complemented
985C22×C22⋊C4C22×C13111yescharacteristic, complemented
986#400C22×C13111yescharacteristic, complemented
987#399C22×C13111yescharacteristic, complemented
988#398C22×C13111yescharacteristic, complemented
989#398C22×C13111yescharacteristic, complemented
990#398C22×C13111yescharacteristic, complemented
991#397C22×C13111yescharacteristic, complemented
992#397C22×C13111yescharacteristic, complemented
993#397C22×C13111yescharacteristic, complemented
994#396C22×C13111yescharacteristic, complemented
995#396C22×C13111yescharacteristic, complemented
996#396C22×C13111yescharacteristic, complemented
997#396C22×C13111yescharacteristic, complemented
998#396C22×C13111yescharacteristic, complemented
999#396C22×C13111yescharacteristic, complemented
1000#395C22×C13111yescharacteristic, complemented
1001#394C22×C13111yescharacteristic
1002#394C22×C13111yescharacteristic
1003#394C22×C13111yescharacteristic
1004#394C22×C13111yescharacteristic
1005#394C22×C13111yescharacteristic
1006#394C22×C13111yescharacteristic
1007#394C22×C13111yescharacteristic
1008#394C22×C13111yescharacteristic
1009#394C22×C13111yescharacteristic, complemented
1010#394C22×C13111yescharacteristic, complemented
1011#394C22×C13111yescharacteristic, complemented
1012#394C22×C13111yescharacteristic, complemented
1013#394C22×C13111yescharacteristic, complemented
1014#394C22×C13111yescharacteristic, complemented
1015#394C22×C13111yescharacteristic, complemented
1016#394C22×C13111yescharacteristic, complemented
1017#394C22×C13111yescharacteristic, complemented
1018#394C22×C13111yescharacteristic, complemented
1019#394C22×C13111yescharacteristic, complemented
1020#393C22×C13111yescharacteristic, complemented
1021#393C22×C13111yescharacteristic, complemented
1022#393C22×C13111yescharacteristic, complemented
1023#392C22×C13111yescharacteristic
1024#392C22×C13111yescharacteristic
1025#392C22×C13111yescharacteristic
1026#392C22×C13111yescharacteristic
1027#392C22×C13111yescharacteristic
1028#392C22×C13111yescharacteristic
1029#392C22×C13111yescharacteristic
1030#392C22×C13111yescharacteristic
1031#392C22×C13111yescharacteristic, complemented
1032#392C22×C13111yescharacteristic, complemented
1033#392C22×C13111yescharacteristic, complemented
1034#391C22×C13111yescharacteristic, complemented
1035#391C22×C13111yescharacteristic, complemented
1036#390C22×C13111yescharacteristic
1037#390C22×C13111yescharacteristic
1038#390C22×C13111yescharacteristic
1039#390C22×C13111yescharacteristic
1040#390C22×C13111yescharacteristic
1041#390C22×C13111yescharacteristic, complemented
1042#390C22×C13111yescharacteristic, complemented
1043#390C22×C13111yescharacteristic, complemented
1044#390C22×C13111yescharacteristic, complemented
1045#389C22×C13111yescharacteristic, complemented
1046#389C22×C13111yescharacteristic, complemented
1047#389C22×C13111yescharacteristic, complemented
1048#388C22×C13111yescharacteristic, complemented
1049#388C22×C13111yescharacteristic, complemented
1050#388C22×C13111yescharacteristic, complemented
1051#388C22×C13111yescharacteristic, complemented
1052#388C22×C13111yescharacteristic, complemented
1053#388C22×C13111yescharacteristic, complemented
1054#388C22×C13111yescharacteristic, complemented
1055#388C22×C13111yescharacteristic, complemented
1056#388C22×C13111yescharacteristic, complemented
1057#388C22×C13111yescharacteristic, complemented
1058#388C22×C13111yescharacteristic, complemented
1059#388C22×C13111yescharacteristic, complemented
1060#388C22×C13111yescharacteristic, complemented
1061#388C22×C13111yescharacteristic, complemented
1062#387C22×C13111yescharacteristic, complemented
1063#387C22×C13111yescharacteristic, complemented
1064#386C22×C13111yescharacteristic
1065#386C22×C13111yescharacteristic
1066#386C22×C13111yescharacteristic
1067#386C22×C13111yescharacteristic
1068#386C22×C13111yescharacteristic
1069#386C22×C13111yescharacteristic
1070#386C22×C13111yescharacteristic
1071#386C22×C13111yescharacteristic
1072#386C22×C13111yescharacteristic, complemented
1073#386C22×C13111yescharacteristic, complemented
1074#386C22×C13111yescharacteristic, complemented
1075#386C22×C13111yescharacteristic, complemented
1076#386C22×C13111yescharacteristic, complemented
1077#386C22×C13111yescharacteristic, complemented
1078#386C22×C13111yescharacteristic, complemented
1079#386C22×C13111yescharacteristic, complemented
1080#385C22×C13111yescharacteristic, complemented
1081#385C22×C13111yescharacteristic, complemented
1082#385C22×C13111yescharacteristic, complemented
1083#385C22×C13111yescharacteristic, complemented
1084#385C22×C13111yescharacteristic, complemented
1085#385C22×C13111yescharacteristic, complemented
1086#381C22×C13111yescharacteristic, complemented
1087#381C22×C13111yescharacteristic, complemented
1088#381C22×C13111yescharacteristic, complemented
1089#381C22×C13111yescharacteristic, complemented
1090#380C22×C13111yescharacteristic, complemented
1091#380C22×C13111yescharacteristic, complemented
1092#380C22×C13111yescharacteristic, complemented
1093#380C22×C13111yescharacteristic, complemented
1094#379C22×C13111yescharacteristic, complemented
1095#379C22×C13111yescharacteristic, complemented
1096C4×C4⋊C4C22×C13111yescharacteristic, complemented
1097#376C22×C13111yescharacteristic, complemented
1098C25C23×C13111yescharacteristic
1099C25C23×C13111yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8C23×C13111yescharacteristic
1104C22×Q8C23×C13111yescharacteristic
1105C22×D4C23×C13111yescharacteristic
1106C22×D4C23×C13111yescharacteristic
1107C22×D4C23×C13111yescharacteristic
1108C22×D4C23×C13111yescharacteristic
1109C22×D4C23×C13111yescharacteristic
1110C22×D4C23×C13111yescharacteristic
1111C22×D4C23×C13111yescharacteristic
1112C22×D4C23×C13111yescharacteristic
1113C22×D4C23×C13111yescharacteristic
1114C22×D4C23×C13111yescharacteristic
1115C22×D4C23×C13111yescharacteristic
1116C22×D4C23×C13111yescharacteristic
1117C22×D4C23×C13111yescharacteristic
1118C22×D4C23×C13111yescharacteristic
1119C22×D4C23×C13111yescharacteristic
1120C22×D4C23×C13111yescharacteristic
1121C22×D4C23×C13111yescharacteristic
1122C22×D4C23×C13111yescharacteristic
1123C22×D4C23×C13111yescharacteristic
1124C22×D4C23×C13111yescharacteristic
1125C22×D4C23×C13111yescharacteristic
1126C22×D4C23×C13111yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4C23×C13111yescharacteristic
1131C23×C4C23×C13111yescharacteristic
1132C23×C4C23×C13111yescharacteristic
1133C23×C4C23×C13111yescharacteristic
1134C23×C4C23×C13111yescharacteristic
1135C23×C4C23×C13111yescharacteristic
1136C23×C4C23×C13111yescharacteristic
1137C23×C4C23×C13111yescharacteristic
1138C23×C4C23×C13111yescharacteristic
1139C23×C4C23×C13111yescharacteristic
1140#127—42no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—42no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—42no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—24no—
1155C22⋊Q8—42no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—42no—
1162#121—42no—
1163#121—42no—
1164#120—24no—
1165#120—24no—
1166#120—24no—
1167#120—24no—
1168#120—42no—
1169#120—42no—
1170#120—42no—
1171#120—42no—
1172#120—42no—
1173#120—42no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4D4×C13118yescomplemented
1179#117—24no—
1180C2×C4⋊C4C23×C13111yescharacteristic
1181C2×C4⋊C4C23×C13111yescharacteristic
1182C2×C4⋊C4C23×C13111yescharacteristic
1183C2×C4⋊C4C23×C13111yescharacteristic
1184C2×C4⋊C4C23×C13111yescharacteristic
1185C2×C4⋊C4C23×C13111yescharacteristic
1186C2×C4⋊C4C23×C13111yescharacteristic
1187C2×C4⋊C4C23×C13111yescharacteristic
1188C2×C4⋊C4C23×C13111yescharacteristic
1189C2×C4⋊C4C23×C13111yescharacteristic
1190C2×C4⋊C4C23×C13111yescharacteristic
1191C2×C4⋊C4C23×C13111yescharacteristic
1192C2×C4⋊C4C23×C13111yescharacteristic
1193C2×C4⋊C4C23×C13111yescharacteristic
1194C2×C4⋊C4C23×C13111yescharacteristic
1195C2×C4⋊C4C23×C13111yescharacteristic
1196C2×C4⋊C4C23×C13111yescharacteristic
1197C2×C4⋊C4C23×C13111yescharacteristic
1198C2×C4⋊C4C23×C13111yescharacteristic
1199C2×C4⋊C4C23×C13111yescharacteristic
1200C2×C4⋊C4C23×C13111yescharacteristic
1201C2×C4⋊C4C23×C13111yescharacteristic
1202C2×C4⋊C4C23×C13111yescharacteristic
1203C2×C4⋊C4C23×C13111yescharacteristic
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4C23×C13111yescharacteristic
1206C2×C22⋊C4C23×C13111yescharacteristic
1207C2×C22⋊C4C23×C13111yescharacteristic
1208C2×C22⋊C4C23×C13111yescharacteristic
1209C2×C22⋊C4C23×C13111yescharacteristic
1210C2×C22⋊C4C23×C13111yescharacteristic
1211C2×C22⋊C4C23×C13111yescharacteristic
1212C2×C22⋊C4C23×C13111yescharacteristic
1213C2×C22⋊C4C23×C13111yescharacteristic
1214C2×C22⋊C4C23×C13111yescharacteristic
1215C2×C22⋊C4C23×C13111yescharacteristic
1216C2×C22⋊C4C23×C13111yescharacteristic
1217C2×C22⋊C4C23×C13111yescharacteristic
1218C2×C22⋊C4C23×C13111yescharacteristic
1219C2×C22⋊C4C23×C13111yescharacteristic
1220C2×C22⋊C4C23×C13111yescharacteristic
1221C2×C22⋊C4C23×C13111yescharacteristic
1222C2×C22⋊C4C23×C13111yescharacteristic
1223C2×C22⋊C4C23×C13111yescharacteristic
1224C2×C22⋊C4C23×C13111yescharacteristic
1225C2×C22⋊C4C23×C13111yescharacteristic
1226C2×C22⋊C4C23×C13111yescharacteristic
1227C2×C22⋊C4C23×C13111yescharacteristic
1228C2×C22⋊C4C23×C13111yescharacteristic
1229C2×C22⋊C4C23×C13111yescharacteristic
1230C2×C22⋊C4C23×C13111yescharacteristic
1231C2×C22⋊C4C23×C13111yescharacteristic
1232C2×C22⋊C4C23×C13111yescharacteristic
1233C2×C22⋊C4C23×C13111yescharacteristic
1234C2×C22⋊C4C23×C13111yescharacteristic
1235C2×C22⋊C4C23×C13111yescharacteristic
1236C2×C22⋊C4C23×C13111yescharacteristic
1237C2×C22⋊C4C23×C13111yescharacteristic
1238C2×C22⋊C4C23×C13111yescharacteristic
1239C2×C22⋊C4C23×C13111yescharacteristic
1240C2×C22⋊C4C23×C13111yescharacteristic
1241C2×C22⋊C4C23×C13111yescharacteristic
1242C2×C22⋊C4C23×C13111yescharacteristic
1243C2×C22⋊C4C23×C13111yescharacteristic
1244C2×C22⋊C4C23×C13111yescharacteristic
1245C2×C22⋊C4C23×C13111yescharacteristic
1246C2×C22⋊C4C23×C13111yescharacteristic
1247C2×C22⋊C4C23×C13111yescharacteristic
1248C2×C22⋊C4C23×C13111yescharacteristic
1249C2×C22⋊C4C23×C13111yescharacteristic
1250C2×C22⋊C4C23×C13111yescharacteristic
1251C2×C22⋊C4C23×C13111yescharacteristic
1252C2×C22⋊C4C23×C13111yescharacteristic
1253C2×C22⋊C4C23×C13111yescharacteristic
1254C2×C22⋊C4C23×C13111yescharacteristic
1255C2×C22⋊C4C23×C13111yescharacteristic
1256C2×C22⋊C4C23×C13111yescharacteristic
1257C2×C22⋊C4C23×C13111yescharacteristic
1258C2×C22⋊C4C23×C13111yescharacteristic
1259C2×C22⋊C4C23×C13111yescharacteristic
1260C2×C22⋊C4C23×C13111yescharacteristic
1261C2×C22⋊C4C23×C13111yescharacteristic
1262C2×C22⋊C4C23×C13111yescharacteristic
1263C2×C22⋊C4C23×C13111yescharacteristic
1264C2×C22⋊C4C23×C13111yescharacteristic
1265C2×C42C23×C13111yescharacteristic
1266C2×C42C23×C13111yescharacteristic
1267C2×C42C23×C13111yescharacteristic
1268C2×C42C23×C13111yescharacteristic
1269C2×C42C23×C13111yescharacteristic
1270C2×C42C23×C13111yescharacteristic
1271C2×C42C23×C13111yescharacteristic
1272#95C23×C13111yescharacteristic
1273#95C23×C13111yescharacteristic
1274#95C23×C13111yescharacteristic
1275#95C23×C13111yescharacteristic
1276#95C23×C13111yescharacteristic
1277#95C23×C13111yescharacteristic
1278#95C23×C13111yescharacteristic
1279#95C23×C13111yescharacteristic
1280#95C23×C13111yescharacteristic
1281#95C23×C13111yescharacteristic
1282#95C23×C13111yescharacteristic
1283#95C23×C13111yescharacteristic
1284#95C23×C13111yescharacteristic
1285#95C23×C13111yescharacteristic
1286#95C23×C13111yescharacteristic
1287#95C23×C13111yescharacteristic
1288#95C23×C13111yescharacteristic
1289#95C23×C13111yescharacteristic
1290#95C23×C13111yescharacteristic
1291#95C23×C13111yescharacteristic
1292#95C23×C13111yescharacteristic
1293#95C23×C13111yescharacteristic
1294#95C23×C13111yescharacteristic
1295#95C23×C13111yescharacteristic
1296#95C23×C13111yescharacteristic
1297#95C23×C13111yescharacteristic
1298#95C23×C13111yescharacteristic
1299#95C23×C13111yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—41no—
1314C24C24×C13111yescharacteristic
1315C24C24×C13111yescharacteristic
1316C24C24×C13111yescharacteristic
1317C24C24×C13111yescharacteristic
1318C24C24×C13111yescharacteristic
1319C24C24×C13111yescharacteristic
1320C24C24×C13111yescharacteristic
1321C24C24×C13111yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4C2×D4×C13114yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—416no—
1424C22×C4C2×D4×C13114yes—
1425C22×C4C2×D4×C13114yes—
1426C22×C4C24×C13111yescharacteristic
1427C22×C4C24×C13111yescharacteristic
1428C22×C4C24×C13111yescharacteristic
1429C22×C4C24×C13111yescharacteristic
1430C22×C4C24×C13111yescharacteristic
1431C22×C4C24×C13111yescharacteristic
1432C22×C4C24×C13111yescharacteristic
1433C22×C4C24×C13111yescharacteristic
1434C22×C4C24×C13111yescharacteristic
1435C22×C4C24×C13111yescharacteristic
1436C22×C4C24×C13111yescharacteristic
1437C22×C4C24×C13111yescharacteristic
1438C22×C4C24×C13111yescharacteristic
1439C22×C4C24×C13111yescharacteristic
1440C22×C4C24×C13111yescharacteristic
1441C22×C4C24×C13111yescharacteristic
1442C22×C4C24×C13111yescharacteristic
1443C22×C4C24×C13111yescharacteristic
1444C22×C4C24×C13111yescharacteristic
1445C22×C4C24×C13111yescharacteristic
1446C22×C4C24×C13111yescharacteristic
1447C22×C4C24×C13111yescharacteristic
1448C22×C4C24×C13111yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4C2×D4×C13114yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4C2×D4×C13114yes—
1532C22⋊C4C2×D4×C13114yes—
1533C42—22no—
1534C42—22no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42C2×D4×C13114yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×D4×C13112yes—
1607C23C22×D4×C13112yes—
1608C23H(5,𝔽2)×C13112yes—
1609C23H(5,𝔽2)×C13112yes—
1610C23C25×C13111yescharacteristic
1611Q8—44no—
1612Q8—82no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627D4—82no—
1628D4—82no—
1629D4—82no—
1630D4—82no—
1631D4—82no—
1632D4—82no—
1633D4—82no—
1634D4—82no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—82no—
1707C2×C4—82no—
1708C2×C4C22×D4×C13112yes—
1709C2×C4C22×D4×C13112yes—
1710C2×C4C22×D4×C13112yes—
1711C2×C4C22×D4×C13112yes—
1712C2×C4C22×D4×C13112yes—
1713C2×C4H(5,𝔽2)×C13112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—88no—
1772C22C23×D4×C13111yescharacteristic
1773C22C2×H(5,𝔽2)×C13111yescharacteristic
1774C22C2×H(5,𝔽2)×C13111yescharacteristic
1775C22C2×H(5,𝔽2)×C13111yescharacteristic
1776C22#585×C13111yescharacteristic
1777C22#585×C13111yescharacteristic
1778C22#585×C13111yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—81no—
1808C2—81no—
1809C2—81no—
1810C2#3449×C13111yescharacteristic
1811C2#3484×C13111yescharacteristic
1812C2#3488×C13111yescharacteristic
1813C2#3533×C13111yescharacteristic
1814C2#3534×C13111yescharacteristic
1815C2#3540×C13111yescharacteristic
1816C2#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. C2×#538×C131C2semidirect
2. C2×#525×C131C2semidirect
3. #2849×C131C2semidirect
4. #2847×C131C2semidirect
5. #2705×C131C2semidirect
6. #2702×C131C2semidirect
7. #2700×C131C2semidirect
8. #2699×C131C2semidirect
9. #2687×C131C2semidirect
10. #2682×C131C2semidirect
11. #2681×C131C2semidirect
12. #2681×C131C2semidirect
13. #2679×C131C2semidirect
14. #2678×C131C2semidirect
15. #2678×C131C2semidirect
16. #2678×C131C2semidirect
17. #2672×C131C2semidirect
18. #2670×C131C2semidirect
19. #2669×C131C2semidirect
20. #2669×C131C2semidirect
21. #2635×C131C2semidirect
22. #2630×C131C2semidirect
23. #2610×C131C2semidirect
24. #2603×C131C2semidirect
25. #2601×C131C2semidirect
26. #2600×C131C2semidirect
27. #2544×C131C2semidirect
28. #2534×C131C2semidirect
29. #2407×C131C2semidirect
30. #2404×C131C2semidirect
31. #2319×C131C2semidirect
33. C24×C4×C131C22semidirect
36. C2×#126×C131C22semidirect
37. C2×#126×C131C22semidirect
39. C2×#124×C131C22semidirect
40. C2×#124×C131C22semidirect
46. C2×#123×C131C22semidirect
47. C2×#123×C131C22semidirect
48. C2×C22⋊Q8×C131C22semidirect
49. C2×C22⋊Q8×C131C22semidirect
50. C2×C22⋊Q8×C131C22semidirect
51. C2×C22⋊Q8×C131C22semidirect
59. C2×#121×C131C22semidirect
66. C2×#120×C131C22semidirect
67. C2×#120×C131C22semidirect
68. C2×#120×C131C22semidirect
69. C2×#120×C131C22semidirect
72. C2×C4×D4×C131C22semidirect
73. C2×C4×D4×C131C22semidirect
74. C2×C4×D4×C131C22semidirect
75. C2×#117×C131C22semidirect
76. C22×C22⋊C4×C131C22semidirect
77. #400×C131C22semidirect
78. #399×C131C22semidirect
79. #398×C131C22semidirect
80. #398×C131C22semidirect
81. #398×C131C22semidirect
82. #397×C131C22semidirect
83. #397×C131C22semidirect
84. #397×C131C22semidirect
85. #396×C131C22semidirect
86. #396×C131C22semidirect
87. #396×C131C22semidirect
88. #396×C131C22semidirect
89. #396×C131C22semidirect
90. #396×C131C22semidirect
91. #395×C131C22semidirect
100. #394×C131C22semidirect
101. #394×C131C22semidirect
102. #394×C131C22semidirect
103. #394×C131C22semidirect
104. #394×C131C22semidirect
105. #394×C131C22semidirect
106. #394×C131C22semidirect
107. #394×C131C22semidirect
108. #394×C131C22semidirect
109. #394×C131C22semidirect
110. #394×C131C22semidirect
111. #393×C131C22semidirect
112. #393×C131C22semidirect
113. #393×C131C22semidirect
122. #392×C131C22semidirect
123. #392×C131C22semidirect
124. #392×C131C22semidirect
125. #391×C131C22semidirect
126. #391×C131C22semidirect
132. #390×C131C22semidirect
133. #390×C131C22semidirect
134. #390×C131C22semidirect
135. #390×C131C22semidirect
136. #389×C131C22semidirect
137. #389×C131C22semidirect
138. #389×C131C22semidirect
139. #388×C131C22semidirect
140. #388×C131C22semidirect
141. #388×C131C22semidirect
142. #388×C131C22semidirect
143. #388×C131C22semidirect
144. #388×C131C22semidirect
145. #388×C131C22semidirect
146. #388×C131C22semidirect
147. #388×C131C22semidirect
148. #388×C131C22semidirect
149. #388×C131C22semidirect
150. #388×C131C22semidirect
151. #388×C131C22semidirect
152. #388×C131C22semidirect
153. #387×C131C22semidirect
154. #387×C131C22semidirect
163. #386×C131C22semidirect
164. #386×C131C22semidirect
165. #386×C131C22semidirect
166. #386×C131C22semidirect
167. #386×C131C22semidirect
168. #386×C131C22semidirect
169. #386×C131C22semidirect
170. #386×C131C22semidirect
171. #385×C131C22semidirect
172. #385×C131C22semidirect
173. #385×C131C22semidirect
174. #385×C131C22semidirect
175. #385×C131C22semidirect
176. #385×C131C22semidirect
177. #381×C131C22semidirect
178. #381×C131C22semidirect
179. #381×C131C22semidirect
180. #381×C131C22semidirect
181. #380×C131C22semidirect
182. #380×C131C22semidirect
183. #380×C131C22semidirect
184. #380×C131C22semidirect
185. #379×C131C22semidirect
186. #379×C131C22semidirect
187. C4×C4⋊C4×C131C22semidirect
188. #376×C131C22semidirect
269. C4×D4×C131D4semidirect
908. #36724C131direct (N × H)
909. C131#36724direct (N × H)
910. C2×#538C2×C131semidirect
911. C2×#525C2×C131semidirect
912. #2849C2×C131semidirect
913. #2847C2×C131semidirect
914. #2705C2×C131semidirect
915. #2702C2×C131semidirect
916. #2700C2×C131semidirect
917. #2699C2×C131semidirect
918. #2687C2×C131semidirect
919. #2682C2×C131semidirect
920. #2681C2×C131semidirect
921. #2681C2×C131semidirect
922. #2679C2×C131semidirect
923. #2678C2×C131semidirect
924. #2678C2×C131semidirect
925. #2678C2×C131semidirect
926. #2672C2×C131semidirect
927. #2670C2×C131semidirect
928. #2669C2×C131semidirect
929. #2669C2×C131semidirect
930. #2635C2×C131semidirect
931. #2630C2×C131semidirect
932. #2610C2×C131semidirect
933. #2603C2×C131semidirect
934. #2601C2×C131semidirect
935. #2600C2×C131semidirect
936. #2544C2×C131semidirect
937. #2534C2×C131semidirect
938. #2407C2×C131semidirect
939. #2404C2×C131semidirect
940. #2319C2×C131semidirect
942. C24×C4C22×C131semidirect
945. C2×#126C22×C131semidirect
946. C2×#126C22×C131semidirect
948. C2×#124C22×C131semidirect
949. C2×#124C22×C131semidirect
955. C2×#123C22×C131semidirect
956. C2×#123C22×C131semidirect
957. C2×C22⋊Q8C22×C131semidirect
958. C2×C22⋊Q8C22×C131semidirect
959. C2×C22⋊Q8C22×C131semidirect
960. C2×C22⋊Q8C22×C131semidirect
968. C2×#121C22×C131semidirect
975. C2×#120C22×C131semidirect
976. C2×#120C22×C131semidirect
977. C2×#120C22×C131semidirect
978. C2×#120C22×C131semidirect
981. C2×C4×D4C22×C131semidirect
982. C2×C4×D4C22×C131semidirect
983. C2×C4×D4C22×C131semidirect
984. C2×#117C22×C131semidirect
985. C22×C22⋊C4C22×C131semidirect
986. #400C22×C131semidirect
987. #399C22×C131semidirect
988. #398C22×C131semidirect
989. #398C22×C131semidirect
990. #398C22×C131semidirect
991. #397C22×C131semidirect
992. #397C22×C131semidirect
993. #397C22×C131semidirect
994. #396C22×C131semidirect
995. #396C22×C131semidirect
996. #396C22×C131semidirect
997. #396C22×C131semidirect
998. #396C22×C131semidirect
999. #396C22×C131semidirect
1000. #395C22×C131semidirect
1009. #394C22×C131semidirect
1010. #394C22×C131semidirect
1011. #394C22×C131semidirect
1012. #394C22×C131semidirect
1013. #394C22×C131semidirect
1014. #394C22×C131semidirect
1015. #394C22×C131semidirect
1016. #394C22×C131semidirect
1017. #394C22×C131semidirect
1018. #394C22×C131semidirect
1019. #394C22×C131semidirect
1020. #393C22×C131semidirect
1021. #393C22×C131semidirect
1022. #393C22×C131semidirect
1031. #392C22×C131semidirect
1032. #392C22×C131semidirect
1033. #392C22×C131semidirect
1034. #391C22×C131semidirect
1035. #391C22×C131semidirect
1041. #390C22×C131semidirect
1042. #390C22×C131semidirect
1043. #390C22×C131semidirect
1044. #390C22×C131semidirect
1045. #389C22×C131semidirect
1046. #389C22×C131semidirect
1047. #389C22×C131semidirect
1048. #388C22×C131semidirect
1049. #388C22×C131semidirect
1050. #388C22×C131semidirect
1051. #388C22×C131semidirect
1052. #388C22×C131semidirect
1053. #388C22×C131semidirect
1054. #388C22×C131semidirect
1055. #388C22×C131semidirect
1056. #388C22×C131semidirect
1057. #388C22×C131semidirect
1058. #388C22×C131semidirect
1059. #388C22×C131semidirect
1060. #388C22×C131semidirect
1061. #388C22×C131semidirect
1062. #387C22×C131semidirect
1063. #387C22×C131semidirect
1072. #386C22×C131semidirect
1073. #386C22×C131semidirect
1074. #386C22×C131semidirect
1075. #386C22×C131semidirect
1076. #386C22×C131semidirect
1077. #386C22×C131semidirect
1078. #386C22×C131semidirect
1079. #386C22×C131semidirect
1080. #385C22×C131semidirect
1081. #385C22×C131semidirect
1082. #385C22×C131semidirect
1083. #385C22×C131semidirect
1084. #385C22×C131semidirect
1085. #385C22×C131semidirect
1086. #381C22×C131semidirect
1087. #381C22×C131semidirect
1088. #381C22×C131semidirect
1089. #381C22×C131semidirect
1090. #380C22×C131semidirect
1091. #380C22×C131semidirect
1092. #380C22×C131semidirect
1093. #380C22×C131semidirect
1094. #379C22×C131semidirect
1095. #379C22×C131semidirect
1096. C4×C4⋊C4C22×C131semidirect
1097. #376C22×C131semidirect
1178. C4×D4D4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1312
C2×#525×C1312
#2849×C1312
#2847×C1312
#2705×C1312
#2702×C1312
#2700×C1312
#2699×C1312
#2687×C1312
#2682×C1312
#2681×C1312
#2679×C1312
#2678×C1312
#2672×C1312
#2670×C1312
#2669×C1312
#2635×C1312
#2630×C1312
#2610×C1312
#2603×C1312
#2601×C1312
#2600×C1312
#2544×C1312
#2534×C1312
#2407×C1312
#2404×C1312
#2319×C1312
#36724131