Finite Group Databasebeta

← C131×#36713 #45722597

Subgroups — C131×#36713 #45722597

Order 33536.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C131C211yesmaximal, characteristic, complemented
2C2×#525×C131C211yesmaximal, characteristic, complemented
3#2849×C131C211yesmaximal, characteristic, complemented
4#2847×C131C211yesmaximal, characteristic, complemented
5#2694×C131C211yesmaximal, characteristic, complemented
6#2693×C131C211yesmaximal, characteristic, complemented
7#2690×C131C211yesmaximal, characteristic, complemented
8#2688×C131C211yesmaximal, characteristic, complemented
9#2687×C131C211yesmaximal, characteristic, complemented
10#2678×C131C211yesmaximal, characteristic, complemented
11#2676×C131C211yesmaximal, characteristic, complemented
12#2675×C131C211yesmaximal, characteristic, complemented
13#2673×C131C211yesmaximal, characteristic, complemented
14#2673×C131C211yesmaximal, characteristic, complemented
15#2672×C131C211yesmaximal, characteristic, complemented
16#2671×C131C211yesmaximal, characteristic, complemented
17#2671×C131C211yesmaximal, characteristic, complemented
18#2669×C131C211yesmaximal, characteristic, complemented
19#2669×C131C211yesmaximal, characteristic, complemented
20#2668×C131C211yesmaximal, characteristic, complemented
21#2635×C131C211yesmaximal, characteristic, complemented
22#2630×C131C211yesmaximal, characteristic, complemented
23#2609×C131C211yesmaximal, characteristic, complemented
24#2602×C131C211yesmaximal, characteristic, complemented
25#2598×C131C211yesmaximal, characteristic, complemented
26#2598×C131C211yesmaximal, characteristic, complemented
27#2543×C131C211yesmaximal, characteristic, complemented
28#2535×C131C211yesmaximal, characteristic, complemented
29#2431×C131C211yesmaximal, characteristic, complemented
30#2430×C131C211yesmaximal, characteristic, complemented
31#2318×C131C211yesmaximal, characteristic, complemented
32C22×#41×C131C2211yescharacteristic
33C24×C4×C131C2211yescharacteristic
34#540×C131—28no—
35C2×#127×C131C2211yescharacteristic
36C2×#127×C131C2211yescharacteristic
37C2×#125×C131C2211yescharacteristic, complemented
38C2×#124×C131C2211yescharacteristic, complemented
39#525×C131—28no—
40C2×#123×C131C2211yescharacteristic
41C2×#123×C131C2211yescharacteristic
42C2×#123×C131C2211yescharacteristic
43C2×#123×C131C2211yescharacteristic
44C2×#123×C131C2211yescharacteristic
45C2×#123×C131C2211yescharacteristic, complemented
46C2×#123×C131C2211yescharacteristic, complemented
47C2×C22⋊Q8×C131C2211yescharacteristic
48C2×C22⋊Q8×C131C2211yescharacteristic
49C2×#121×C131C2211yescharacteristic
50C2×#121×C131C2211yescharacteristic
51C2×#121×C131C2211yescharacteristic
52C2×#121×C131C2211yescharacteristic
53C2×#121×C131C2211yescharacteristic
54C2×#121×C131C2211yescharacteristic
55C2×#121×C131C2211yescharacteristic
56C2×#121×C131C2211yescharacteristic
57C2×#121×C131C2211yescharacteristic
58C2×#121×C131C2211yescharacteristic
59C2×#121×C131C2211yescharacteristic
60C2×#121×C131C2211yescharacteristic
61C2×#121×C131C2211yescharacteristic, complemented
62C2×#121×C131C2211yescharacteristic, complemented
63C2×#121×C131C2211yescharacteristic, complemented
64C2×#121×C131C2211yescharacteristic, complemented
65C2×#120×C131C2211yescharacteristic
66C2×#120×C131C2211yescharacteristic
67C2×#120×C131C2211yescharacteristic
68C2×#120×C131C2211yescharacteristic
69C2×#120×C131C2211yescharacteristic
70C2×C4×D4×C131C2211yescharacteristic
71C2×C4×D4×C131C2211yescharacteristic
72C2×C4×D4×C131C2211yescharacteristic
73C2×C4×D4×C131C2211yescharacteristic
74C2×C4×D4×C131C2211yescharacteristic, complemented
75C2×#117×C131C2211yescharacteristic
76C2×#117×C131C2211yescharacteristic, complemented
77#400×C131C2211yescharacteristic, complemented
78#400×C131C2211yescharacteristic, complemented
79#400×C131C2211yescharacteristic, complemented
80#399×C131C2211yescharacteristic
81#399×C131C2211yescharacteristic, complemented
82#399×C131C2211yescharacteristic, complemented
83#398×C131C2211yescharacteristic, complemented
84#398×C131C2211yescharacteristic, complemented
85#398×C131C2211yescharacteristic, complemented
86#397×C131C2211yescharacteristic
87#397×C131C2211yescharacteristic
88#397×C131C2211yescharacteristic
89#397×C131C2211yescharacteristic, complemented
90#397×C131C2211yescharacteristic, complemented
91#396×C131C2211yescharacteristic
92#396×C131C2211yescharacteristic, complemented
93#396×C131C2211yescharacteristic, complemented
94#396×C131C2211yescharacteristic, complemented
95#395×C131C2211yescharacteristic, complemented
96#394×C131C2211yescharacteristic
97#394×C131C2211yescharacteristic
98#394×C131C2211yescharacteristic
99#394×C131C2211yescharacteristic
100#394×C131C2211yescharacteristic
101#394×C131C2211yescharacteristic
102#394×C131C2211yescharacteristic
103#394×C131C2211yescharacteristic
104#394×C131C2211yescharacteristic, complemented
105#394×C131C2211yescharacteristic, complemented
106#394×C131C2211yescharacteristic, complemented
107#394×C131C2211yescharacteristic, complemented
108#394×C131C2211yescharacteristic, complemented
109#393×C131C2211yescharacteristic, complemented
110#392×C131C2211yescharacteristic
111#392×C131C2211yescharacteristic
112#392×C131C2211yescharacteristic
113#392×C131C2211yescharacteristic
114#392×C131C2211yescharacteristic
115#392×C131C2211yescharacteristic
116#392×C131C2211yescharacteristic
117#392×C131C2211yescharacteristic
118#392×C131C2211yescharacteristic
119#392×C131C2211yescharacteristic
120#392×C131C2211yescharacteristic
121#392×C131C2211yescharacteristic, complemented
122#392×C131C2211yescharacteristic, complemented
123#392×C131C2211yescharacteristic, complemented
124#392×C131C2211yescharacteristic, complemented
125#391×C131C2211yescharacteristic, complemented
126#390×C131C2211yescharacteristic
127#390×C131C2211yescharacteristic
128#389×C131C2211yescharacteristic, complemented
129#388×C131C2211yescharacteristic
130#388×C131C2211yescharacteristic
131#388×C131C2211yescharacteristic
132#388×C131C2211yescharacteristic
133#388×C131C2211yescharacteristic
134#388×C131C2211yescharacteristic, complemented
135#388×C131C2211yescharacteristic, complemented
136#388×C131C2211yescharacteristic, complemented
137#388×C131C2211yescharacteristic, complemented
138#388×C131C2211yescharacteristic, complemented
139#387×C131C2211yescharacteristic, complemented
140#387×C131C2211yescharacteristic, complemented
141#387×C131C2211yescharacteristic, complemented
142#387×C131C2211yescharacteristic, complemented
143#386×C131C2211yescharacteristic
144#386×C131C2211yescharacteristic
145#386×C131C2211yescharacteristic
146#386×C131C2211yescharacteristic
147#386×C131C2211yescharacteristic
148#386×C131C2211yescharacteristic
149#386×C131C2211yescharacteristic
150#386×C131C2211yescharacteristic
151#386×C131C2211yescharacteristic
152#386×C131C2211yescharacteristic
153#386×C131C2211yescharacteristic
154#386×C131C2211yescharacteristic
155#386×C131C2211yescharacteristic
156#386×C131C2211yescharacteristic
157#386×C131C2211yescharacteristic
158#386×C131C2211yescharacteristic
159#386×C131C2211yescharacteristic
160#386×C131C2211yescharacteristic, complemented
161#386×C131C2211yescharacteristic, complemented
162#386×C131C2211yescharacteristic, complemented
163#386×C131C2211yescharacteristic, complemented
164#386×C131C2211yescharacteristic, complemented
165#386×C131C2211yescharacteristic, complemented
166#386×C131C2211yescharacteristic, complemented
167#385×C131C2211yescharacteristic
168#385×C131C2211yescharacteristic
169#385×C131C2211yescharacteristic
170#385×C131C2211yescharacteristic
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#383×C131C2211yescharacteristic, complemented
178#382×C131C2211yescharacteristic, complemented
179#381×C131C2211yescharacteristic
180#381×C131C2211yescharacteristic
181#380×C131C2211yescharacteristic
182#380×C131C2211yescharacteristic
183#380×C131C2211yescharacteristic
184#380×C131C2211yescharacteristic, complemented
185#380×C131C2211yescharacteristic, complemented
186#379×C131C2211yescharacteristic
187C4×C22⋊C4×C131C2211yescharacteristic, complemented
188C2×#95×C131C2211yescharacteristic, complemented
189C25×C131C2311yescharacteristic
190C2×#41×C131—24no—
191C2×#41×C131—42no—
192C2×#41×C131—42no—
193C22×Q8×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
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
218C22×D4×C131C2311yescharacteristic
219C23×C4×C131—24no—
220C23×C4×C131—42no—
221C23×C4×C131—42no—
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
231C23×C4×C131C2311yescharacteristic
232C23×C4×C131C2311yescharacteristic
233C23×C4×C131C2311yescharacteristic
234C23×C4×C131C2311yescharacteristic
235#127×C131—24no—
236#127×C131—42no—
237#125×C131—24no—
238#124×C131—42no—
239#123×C131—24no—
240#123×C131—24no—
241#123×C131—24no—
242#123×C131—24no—
243#123×C131—24no—
244#123×C131—24no—
245#123×C131—42no—
246C22⋊Q8×C131—24no—
247C22⋊Q8×C131—24no—
248#121×C131—24no—
249#121×C131—24no—
250#121×C131—24no—
251#121×C131—24no—
252#121×C131—24no—
253#121×C131—24no—
254#121×C131—24no—
255#121×C131—24no—
256#121×C131—42no—
257#121×C131—42no—
258#121×C131—42no—
259#121×C131—42no—
260#121×C131—42no—
261#121×C131—42no—
262#121×C131—42no—
263#121×C131—42no—
264#120×C131—24no—
265#120×C131—24no—
266#120×C131—42no—
267#120×C131—42no—
268#120×C131—42no—
269C4×D4×C131—24no—
270C4×D4×C131—24no—
271C4×D4×C131—24no—
272C4×D4×C131—24no—
273C4×D4×C131D418yescomplemented
274#117×C131—24no—
275#117×C131—24no—
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×C4⋊C4×C131C2311yescharacteristic
296C2×C4⋊C4×C131C2311yescharacteristic
297C2×C4⋊C4×C131C2311yescharacteristic
298C2×C4⋊C4×C131C2311yescharacteristic
299C2×C4⋊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×C42×C131C2311yescharacteristic
355C2×C42×C131C2311yescharacteristic
356C2×C42×C131C2311yescharacteristic
357C2×C42×C131C2311yescharacteristic
358C2×C42×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
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—41no—
395C24×C131—41no—
396C24×C131—41no—
397C24×C131—41no—
398C24×C131C2411yescharacteristic
399C24×C131C2411yescharacteristic
400C24×C131C2411yescharacteristic
401C24×C131C2411yescharacteristic
402C24×C131C2411yescharacteristic
403C24×C131C2411yescharacteristic
404C24×C131C2411yescharacteristic
405C24×C131C2411yescharacteristic
406#41×C131—416no—
407C2×Q8×C131—22no—
408C2×Q8×C131—22no—
409C2×Q8×C131—41no—
410C2×D4×C131—22no—
411C2×D4×C131—22no—
412C2×D4×C131—22no—
413C2×D4×C131—22no—
414C2×D4×C131—22no—
415C2×D4×C131—22no—
416C2×D4×C131—22no—
417C2×D4×C131—22no—
418C2×D4×C131—22no—
419C2×D4×C131—22no—
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—41no—
437C2×D4×C131—41no—
438C2×D4×C131—41no—
439C2×D4×C131—41no—
440C2×D4×C131—41no—
441C2×D4×C131—41no—
442C2×D4×C131—41no—
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×C131C2×D414yes—
485C22×C4×C131—22no—
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—41no—
515C22×C4×C131—41no—
516C22×C4×C131—41no—
517C22×C4×C131—41no—
518C22×C4×C131—41no—
519C22×C4×C131—41no—
520C22×C4×C131—41no—
521C22×C4×C131—41no—
522C22×C4×C131—416no—
523C22×C4×C131C2×D414yes—
524C22×C4×C131C2×D414yes—
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
540C22×C4×C131C2411yescharacteristic
541C22×C4×C131C2411yescharacteristic
542C22×C4×C131C2411yescharacteristic
543C22×C4×C131C2411yescharacteristic
544C22×C4×C131C2411yescharacteristic
545C22×C4×C131C2411yescharacteristic
546C22×C4×C131C2411yescharacteristic
547C22×C4×C131C2411yescharacteristic
548C4⋊C4×C131—22no—
549C4⋊C4×C131—22no—
550C4⋊C4×C131—22no—
551C4⋊C4×C131—22no—
552C4⋊C4×C131—22no—
553C4⋊C4×C131—22no—
554C4⋊C4×C131—22no—
555C4⋊C4×C131—22no—
556C4⋊C4×C131—22no—
557C4⋊C4×C131—22no—
558C4⋊C4×C131—22no—
559C4⋊C4×C131—22no—
560C4⋊C4×C131—22no—
561C4⋊C4×C131—41no—
562C4⋊C4×C131—41no—
563C4⋊C4×C131—41no—
564C4⋊C4×C131—41no—
565C4⋊C4×C131—41no—
566C4⋊C4×C131—41no—
567C4⋊C4×C131—41no—
568C4⋊C4×C131—41no—
569C4⋊C4×C131—41no—
570C4⋊C4×C131—41no—
571C4⋊C4×C131C2×D414yes—
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—22no—
592C22⋊C4×C131—22no—
593C22⋊C4×C131—22no—
594C22⋊C4×C131—22no—
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×C131—41no—
623C22⋊C4×C131—41no—
624C22⋊C4×C131C2×D414yes—
625C22⋊C4×C131C2×D414yes—
626C42×C131—22no—
627C42×C131—22no—
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×C131C22×D412yes—
691C23×C131C22×D412yes—
692C23×C131H(5,𝔽2)12yes—
693C23×C131H(5,𝔽2)12yes—
694C23×C131C2511yescharacteristic
695Q8×C131—44no—
696D4×C131—44no—
697D4×C131—44no—
698D4×C131—44no—
699D4×C131—44no—
700D4×C131—44no—
701D4×C131—44no—
702D4×C131—44no—
703D4×C131—44no—
704D4×C131—82no—
705D4×C131—82no—
706D4×C131—82no—
707D4×C131—82no—
708D4×C131—82no—
709D4×C131—82no—
710D4×C131—82no—
711D4×C131—82no—
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—
721C2×C4×C131—28no—
722C2×C4×C131—21no—
723C2×C4×C131—21no—
724C2×C4×C131—21no—
725C2×C4×C131—21no—
726C2×C4×C131—21no—
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—44no—
786C2×C4×C131—44no—
787C2×C4×C131—44no—
788C2×C4×C131—44no—
789C2×C4×C131—44no—
790C2×C4×C131—44no—
791C2×C4×C131—44no—
792C2×C4×C131—44no—
793C2×C4×C131—82no—
794C2×C4×C131—82no—
795C2×C4×C131—82no—
796C2×C4×C131—82no—
797C2×C4×C131C22×D412yes—
798C2×C4×C131C22×D412yes—
799C2×C4×C131C22×D412yes—
800C2×C4×C131C22×D412yes—
801C2×C4×C131C22×D412yes—
802C2×C4×C131H(5,𝔽2)12yes—
803C22×C131—22no—
804C22×C131—22no—
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—416no—
816C22×C131—41no—
817C22×C131—41no—
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×C131C23×D411yescharacteristic
861C22×C131C2×H(5,𝔽2)11yescharacteristic
862C22×C131C2×H(5,𝔽2)11yescharacteristic
863C22×C131C2×H(5,𝔽2)11yescharacteristic
864C22×C131#58511yescharacteristic
865C22×C131#58511yescharacteristic
866C22×C131#58511yescharacteristic
867C4×C131—22no—
868C4×C131—22no—
869C4×C131—22no—
870C4×C131—22no—
871C4×C131—22no—
872C4×C131—22no—
873C4×C131—41no—
874C4×C131—41no—
875C4×C131—41no—
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—
890C2×C131—42no—
891C2×C131—42no—
892C2×C131—42no—
893C2×C131—42no—
894C2×C131—81no—
895C2×C131—81no—
896C2×C131—81no—
897C2×C131—81no—
898C2×C131#344911yescharacteristic
899C2×C131#348411yescharacteristic
900C2×C131#348811yescharacteristic
901C2×C131#353311yescharacteristic
902C2×C131#353411yescharacteristic
903C2×C131#353911yescharacteristic
904C2×C131#354211yescharacteristic
905#36713C13111yesmaximal, characteristic, direct product factor, Sylow
906C131#3671311yescharacteristic, direct product factor, Sylow
907C2×#540C2×C13111yescharacteristic, complemented
908C2×#525C2×C13111yescharacteristic, complemented
909#2849C2×C13111yescharacteristic, complemented
910#2847C2×C13111yescharacteristic, complemented
911#2694C2×C13111yescharacteristic, complemented
912#2693C2×C13111yescharacteristic, complemented
913#2690C2×C13111yescharacteristic, complemented
914#2688C2×C13111yescharacteristic, complemented
915#2687C2×C13111yescharacteristic, complemented
916#2678C2×C13111yescharacteristic, complemented
917#2676C2×C13111yescharacteristic, complemented
918#2675C2×C13111yescharacteristic, complemented
919#2673C2×C13111yescharacteristic, complemented
920#2673C2×C13111yescharacteristic, complemented
921#2672C2×C13111yescharacteristic, complemented
922#2671C2×C13111yescharacteristic, complemented
923#2671C2×C13111yescharacteristic, complemented
924#2669C2×C13111yescharacteristic, complemented
925#2669C2×C13111yescharacteristic, complemented
926#2668C2×C13111yescharacteristic, complemented
927#2635C2×C13111yescharacteristic, complemented
928#2630C2×C13111yescharacteristic, complemented
929#2609C2×C13111yescharacteristic, complemented
930#2602C2×C13111yescharacteristic, complemented
931#2598C2×C13111yescharacteristic, complemented
932#2598C2×C13111yescharacteristic, complemented
933#2543C2×C13111yescharacteristic, complemented
934#2535C2×C13111yescharacteristic, complemented
935#2431C2×C13111yescharacteristic, complemented
936#2430C2×C13111yescharacteristic, complemented
937#2318C2×C13111yescharacteristic, complemented
938C22×#41C22×C13111yescharacteristic
939C24×C4C22×C13111yescharacteristic
940#540—28no—
941C2×#127C22×C13111yescharacteristic
942C2×#127C22×C13111yescharacteristic
943C2×#125C22×C13111yescharacteristic, complemented
944C2×#124C22×C13111yescharacteristic, complemented
945#525—28no—
946C2×#123C22×C13111yescharacteristic
947C2×#123C22×C13111yescharacteristic
948C2×#123C22×C13111yescharacteristic
949C2×#123C22×C13111yescharacteristic
950C2×#123C22×C13111yescharacteristic
951C2×#123C22×C13111yescharacteristic, complemented
952C2×#123C22×C13111yescharacteristic, complemented
953C2×C22⋊Q8C22×C13111yescharacteristic
954C2×C22⋊Q8C22×C13111yescharacteristic
955C2×#121C22×C13111yescharacteristic
956C2×#121C22×C13111yescharacteristic
957C2×#121C22×C13111yescharacteristic
958C2×#121C22×C13111yescharacteristic
959C2×#121C22×C13111yescharacteristic
960C2×#121C22×C13111yescharacteristic
961C2×#121C22×C13111yescharacteristic
962C2×#121C22×C13111yescharacteristic
963C2×#121C22×C13111yescharacteristic
964C2×#121C22×C13111yescharacteristic
965C2×#121C22×C13111yescharacteristic
966C2×#121C22×C13111yescharacteristic
967C2×#121C22×C13111yescharacteristic, complemented
968C2×#121C22×C13111yescharacteristic, complemented
969C2×#121C22×C13111yescharacteristic, complemented
970C2×#121C22×C13111yescharacteristic, complemented
971C2×#120C22×C13111yescharacteristic
972C2×#120C22×C13111yescharacteristic
973C2×#120C22×C13111yescharacteristic
974C2×#120C22×C13111yescharacteristic
975C2×#120C22×C13111yescharacteristic
976C2×C4×D4C22×C13111yescharacteristic
977C2×C4×D4C22×C13111yescharacteristic
978C2×C4×D4C22×C13111yescharacteristic
979C2×C4×D4C22×C13111yescharacteristic
980C2×C4×D4C22×C13111yescharacteristic, complemented
981C2×#117C22×C13111yescharacteristic
982C2×#117C22×C13111yescharacteristic, complemented
983#400C22×C13111yescharacteristic, complemented
984#400C22×C13111yescharacteristic, complemented
985#400C22×C13111yescharacteristic, complemented
986#399C22×C13111yescharacteristic
987#399C22×C13111yescharacteristic, complemented
988#399C22×C13111yescharacteristic, complemented
989#398C22×C13111yescharacteristic, complemented
990#398C22×C13111yescharacteristic, complemented
991#398C22×C13111yescharacteristic, complemented
992#397C22×C13111yescharacteristic
993#397C22×C13111yescharacteristic
994#397C22×C13111yescharacteristic
995#397C22×C13111yescharacteristic, complemented
996#397C22×C13111yescharacteristic, complemented
997#396C22×C13111yescharacteristic
998#396C22×C13111yescharacteristic, complemented
999#396C22×C13111yescharacteristic, complemented
1000#396C22×C13111yescharacteristic, complemented
1001#395C22×C13111yescharacteristic, complemented
1002#394C22×C13111yescharacteristic
1003#394C22×C13111yescharacteristic
1004#394C22×C13111yescharacteristic
1005#394C22×C13111yescharacteristic
1006#394C22×C13111yescharacteristic
1007#394C22×C13111yescharacteristic
1008#394C22×C13111yescharacteristic
1009#394C22×C13111yescharacteristic
1010#394C22×C13111yescharacteristic, complemented
1011#394C22×C13111yescharacteristic, complemented
1012#394C22×C13111yescharacteristic, complemented
1013#394C22×C13111yescharacteristic, complemented
1014#394C22×C13111yescharacteristic, complemented
1015#393C22×C13111yescharacteristic, complemented
1016#392C22×C13111yescharacteristic
1017#392C22×C13111yescharacteristic
1018#392C22×C13111yescharacteristic
1019#392C22×C13111yescharacteristic
1020#392C22×C13111yescharacteristic
1021#392C22×C13111yescharacteristic
1022#392C22×C13111yescharacteristic
1023#392C22×C13111yescharacteristic
1024#392C22×C13111yescharacteristic
1025#392C22×C13111yescharacteristic
1026#392C22×C13111yescharacteristic
1027#392C22×C13111yescharacteristic, complemented
1028#392C22×C13111yescharacteristic, complemented
1029#392C22×C13111yescharacteristic, complemented
1030#392C22×C13111yescharacteristic, complemented
1031#391C22×C13111yescharacteristic, complemented
1032#390C22×C13111yescharacteristic
1033#390C22×C13111yescharacteristic
1034#389C22×C13111yescharacteristic, complemented
1035#388C22×C13111yescharacteristic
1036#388C22×C13111yescharacteristic
1037#388C22×C13111yescharacteristic
1038#388C22×C13111yescharacteristic
1039#388C22×C13111yescharacteristic
1040#388C22×C13111yescharacteristic, complemented
1041#388C22×C13111yescharacteristic, complemented
1042#388C22×C13111yescharacteristic, complemented
1043#388C22×C13111yescharacteristic, complemented
1044#388C22×C13111yescharacteristic, complemented
1045#387C22×C13111yescharacteristic, complemented
1046#387C22×C13111yescharacteristic, complemented
1047#387C22×C13111yescharacteristic, complemented
1048#387C22×C13111yescharacteristic, complemented
1049#386C22×C13111yescharacteristic
1050#386C22×C13111yescharacteristic
1051#386C22×C13111yescharacteristic
1052#386C22×C13111yescharacteristic
1053#386C22×C13111yescharacteristic
1054#386C22×C13111yescharacteristic
1055#386C22×C13111yescharacteristic
1056#386C22×C13111yescharacteristic
1057#386C22×C13111yescharacteristic
1058#386C22×C13111yescharacteristic
1059#386C22×C13111yescharacteristic
1060#386C22×C13111yescharacteristic
1061#386C22×C13111yescharacteristic
1062#386C22×C13111yescharacteristic
1063#386C22×C13111yescharacteristic
1064#386C22×C13111yescharacteristic
1065#386C22×C13111yescharacteristic
1066#386C22×C13111yescharacteristic, complemented
1067#386C22×C13111yescharacteristic, complemented
1068#386C22×C13111yescharacteristic, complemented
1069#386C22×C13111yescharacteristic, complemented
1070#386C22×C13111yescharacteristic, complemented
1071#386C22×C13111yescharacteristic, complemented
1072#386C22×C13111yescharacteristic, complemented
1073#385C22×C13111yescharacteristic
1074#385C22×C13111yescharacteristic
1075#385C22×C13111yescharacteristic
1076#385C22×C13111yescharacteristic
1077#385C22×C13111yescharacteristic, complemented
1078#385C22×C13111yescharacteristic, complemented
1079#385C22×C13111yescharacteristic, complemented
1080#385C22×C13111yescharacteristic, complemented
1081#385C22×C13111yescharacteristic, complemented
1082#385C22×C13111yescharacteristic, complemented
1083#383C22×C13111yescharacteristic, complemented
1084#382C22×C13111yescharacteristic, complemented
1085#381C22×C13111yescharacteristic
1086#381C22×C13111yescharacteristic
1087#380C22×C13111yescharacteristic
1088#380C22×C13111yescharacteristic
1089#380C22×C13111yescharacteristic
1090#380C22×C13111yescharacteristic, complemented
1091#380C22×C13111yescharacteristic, complemented
1092#379C22×C13111yescharacteristic
1093C4×C22⋊C4C22×C13111yescharacteristic, complemented
1094C2×#95C22×C13111yescharacteristic, complemented
1095C25C23×C13111yescharacteristic
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C23×C13111yescharacteristic
1100C22×D4C23×C13111yescharacteristic
1101C22×D4C23×C13111yescharacteristic
1102C22×D4C23×C13111yescharacteristic
1103C22×D4C23×C13111yescharacteristic
1104C22×D4C23×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
1125C23×C4—24no—
1126C23×C4—42no—
1127C23×C4—42no—
1128C23×C4C23×C13111yescharacteristic
1129C23×C4C23×C13111yescharacteristic
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
1140C23×C4C23×C13111yescharacteristic
1141#127—24no—
1142#127—42no—
1143#125—24no—
1144#124—42no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—24no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—24no—
1162#121—42no—
1163#121—42no—
1164#121—42no—
1165#121—42no—
1166#121—42no—
1167#121—42no—
1168#121—42no—
1169#121—42no—
1170#120—24no—
1171#120—24no—
1172#120—42no—
1173#120—42no—
1174#120—42no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4D4×C13118yescomplemented
1180#117—24no—
1181#117—24no—
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×C4⋊C4C23×C13111yescharacteristic
1205C2×C4⋊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×C42C23×C13111yescharacteristic
1261C2×C42C23×C13111yescharacteristic
1262C2×C42C23×C13111yescharacteristic
1263C2×C42C23×C13111yescharacteristic
1264C2×C42C23×C13111yescharacteristic
1265#95C23×C13111yescharacteristic
1266#95C23×C13111yescharacteristic
1267#95C23×C13111yescharacteristic
1268#95C23×C13111yescharacteristic
1269#95C23×C13111yescharacteristic
1270#95C23×C13111yescharacteristic
1271#95C23×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
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24C24×C13111yescharacteristic
1305C24C24×C13111yescharacteristic
1306C24C24×C13111yescharacteristic
1307C24C24×C13111yescharacteristic
1308C24C24×C13111yescharacteristic
1309C24C24×C13111yescharacteristic
1310C24C24×C13111yescharacteristic
1311C24C24×C13111yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
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—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
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×D4C2×D4×C13114yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
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—41no—
1406C22×C4—41no—
1407C22×C4—41no—
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—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—416no—
1429C22×C4C2×D4×C13114yes—
1430C22×C4C2×D4×C13114yes—
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
1449C22×C4C24×C13111yescharacteristic
1450C22×C4C24×C13111yescharacteristic
1451C22×C4C24×C13111yescharacteristic
1452C22×C4C24×C13111yescharacteristic
1453C22×C4C24×C13111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4C2×D4×C13114yes—
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—22no—
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⋊C4C2×D4×C13114yes—
1531C22⋊C4C2×D4×C13114yes—
1532C42—22no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42C2×D4×C13114yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
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—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23C22×D4×C13112yes—
1597C23C22×D4×C13112yes—
1598C23H(5,𝔽2)×C13112yes—
1599C23H(5,𝔽2)×C13112yes—
1600C23C25×C13111yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
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—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—82no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4C22×D4×C13112yes—
1704C2×C4C22×D4×C13112yes—
1705C2×C4C22×D4×C13112yes—
1706C2×C4C22×D4×C13112yes—
1707C2×C4C22×D4×C13112yes—
1708C2×C4H(5,𝔽2)×C13112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
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—
1766C22C23×D4×C13111yescharacteristic
1767C22C2×H(5,𝔽2)×C13111yescharacteristic
1768C22C2×H(5,𝔽2)×C13111yescharacteristic
1769C22C2×H(5,𝔽2)×C13111yescharacteristic
1770C22#585×C13111yescharacteristic
1771C22#585×C13111yescharacteristic
1772C22#585×C13111yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—42no—
1800C2—81no—
1801C2—81no—
1802C2—81no—
1803C2—81no—
1804C2#3449×C13111yescharacteristic
1805C2#3484×C13111yescharacteristic
1806C2#3488×C13111yescharacteristic
1807C2#3533×C13111yescharacteristic
1808C2#3534×C13111yescharacteristic
1809C2#3539×C13111yescharacteristic
1810C2#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×#540×C131C2semidirect
2. C2×#525×C131C2semidirect
3. #2849×C131C2semidirect
4. #2847×C131C2semidirect
5. #2694×C131C2semidirect
6. #2693×C131C2semidirect
7. #2690×C131C2semidirect
8. #2688×C131C2semidirect
9. #2687×C131C2semidirect
10. #2678×C131C2semidirect
11. #2676×C131C2semidirect
12. #2675×C131C2semidirect
13. #2673×C131C2semidirect
14. #2673×C131C2semidirect
15. #2672×C131C2semidirect
16. #2671×C131C2semidirect
17. #2671×C131C2semidirect
18. #2669×C131C2semidirect
19. #2669×C131C2semidirect
20. #2668×C131C2semidirect
21. #2635×C131C2semidirect
22. #2630×C131C2semidirect
23. #2609×C131C2semidirect
24. #2602×C131C2semidirect
25. #2598×C131C2semidirect
26. #2598×C131C2semidirect
27. #2543×C131C2semidirect
28. #2535×C131C2semidirect
29. #2431×C131C2semidirect
30. #2430×C131C2semidirect
31. #2318×C131C2semidirect
37. C2×#125×C131C22semidirect
38. C2×#124×C131C22semidirect
45. C2×#123×C131C22semidirect
46. C2×#123×C131C22semidirect
61. C2×#121×C131C22semidirect
62. C2×#121×C131C22semidirect
63. C2×#121×C131C22semidirect
64. C2×#121×C131C22semidirect
74. C2×C4×D4×C131C22semidirect
76. C2×#117×C131C22semidirect
77. #400×C131C22semidirect
78. #400×C131C22semidirect
79. #400×C131C22semidirect
81. #399×C131C22semidirect
82. #399×C131C22semidirect
83. #398×C131C22semidirect
84. #398×C131C22semidirect
85. #398×C131C22semidirect
89. #397×C131C22semidirect
90. #397×C131C22semidirect
92. #396×C131C22semidirect
93. #396×C131C22semidirect
94. #396×C131C22semidirect
95. #395×C131C22semidirect
104. #394×C131C22semidirect
105. #394×C131C22semidirect
106. #394×C131C22semidirect
107. #394×C131C22semidirect
108. #394×C131C22semidirect
109. #393×C131C22semidirect
121. #392×C131C22semidirect
122. #392×C131C22semidirect
123. #392×C131C22semidirect
124. #392×C131C22semidirect
125. #391×C131C22semidirect
128. #389×C131C22semidirect
134. #388×C131C22semidirect
135. #388×C131C22semidirect
136. #388×C131C22semidirect
137. #388×C131C22semidirect
138. #388×C131C22semidirect
139. #387×C131C22semidirect
140. #387×C131C22semidirect
141. #387×C131C22semidirect
142. #387×C131C22semidirect
160. #386×C131C22semidirect
161. #386×C131C22semidirect
162. #386×C131C22semidirect
163. #386×C131C22semidirect
164. #386×C131C22semidirect
165. #386×C131C22semidirect
166. #386×C131C22semidirect
171. #385×C131C22semidirect
172. #385×C131C22semidirect
173. #385×C131C22semidirect
174. #385×C131C22semidirect
175. #385×C131C22semidirect
176. #385×C131C22semidirect
177. #383×C131C22semidirect
178. #382×C131C22semidirect
184. #380×C131C22semidirect
185. #380×C131C22semidirect
187. C4×C22⋊C4×C131C22semidirect
188. C2×#95×C131C22semidirect
273. C4×D4×C131D4semidirect
905. #36713C131direct (N × H)
906. C131#36713direct (N × H)
907. C2×#540C2×C131semidirect
908. C2×#525C2×C131semidirect
909. #2849C2×C131semidirect
910. #2847C2×C131semidirect
911. #2694C2×C131semidirect
912. #2693C2×C131semidirect
913. #2690C2×C131semidirect
914. #2688C2×C131semidirect
915. #2687C2×C131semidirect
916. #2678C2×C131semidirect
917. #2676C2×C131semidirect
918. #2675C2×C131semidirect
919. #2673C2×C131semidirect
920. #2673C2×C131semidirect
921. #2672C2×C131semidirect
922. #2671C2×C131semidirect
923. #2671C2×C131semidirect
924. #2669C2×C131semidirect
925. #2669C2×C131semidirect
926. #2668C2×C131semidirect
927. #2635C2×C131semidirect
928. #2630C2×C131semidirect
929. #2609C2×C131semidirect
930. #2602C2×C131semidirect
931. #2598C2×C131semidirect
932. #2598C2×C131semidirect
933. #2543C2×C131semidirect
934. #2535C2×C131semidirect
935. #2431C2×C131semidirect
936. #2430C2×C131semidirect
937. #2318C2×C131semidirect
943. C2×#125C22×C131semidirect
944. C2×#124C22×C131semidirect
951. C2×#123C22×C131semidirect
952. C2×#123C22×C131semidirect
967. C2×#121C22×C131semidirect
968. C2×#121C22×C131semidirect
969. C2×#121C22×C131semidirect
970. C2×#121C22×C131semidirect
980. C2×C4×D4C22×C131semidirect
982. C2×#117C22×C131semidirect
983. #400C22×C131semidirect
984. #400C22×C131semidirect
985. #400C22×C131semidirect
987. #399C22×C131semidirect
988. #399C22×C131semidirect
989. #398C22×C131semidirect
990. #398C22×C131semidirect
991. #398C22×C131semidirect
995. #397C22×C131semidirect
996. #397C22×C131semidirect
998. #396C22×C131semidirect
999. #396C22×C131semidirect
1000. #396C22×C131semidirect
1001. #395C22×C131semidirect
1010. #394C22×C131semidirect
1011. #394C22×C131semidirect
1012. #394C22×C131semidirect
1013. #394C22×C131semidirect
1014. #394C22×C131semidirect
1015. #393C22×C131semidirect
1027. #392C22×C131semidirect
1028. #392C22×C131semidirect
1029. #392C22×C131semidirect
1030. #392C22×C131semidirect
1031. #391C22×C131semidirect
1034. #389C22×C131semidirect
1040. #388C22×C131semidirect
1041. #388C22×C131semidirect
1042. #388C22×C131semidirect
1043. #388C22×C131semidirect
1044. #388C22×C131semidirect
1045. #387C22×C131semidirect
1046. #387C22×C131semidirect
1047. #387C22×C131semidirect
1048. #387C22×C131semidirect
1066. #386C22×C131semidirect
1067. #386C22×C131semidirect
1068. #386C22×C131semidirect
1069. #386C22×C131semidirect
1070. #386C22×C131semidirect
1071. #386C22×C131semidirect
1072. #386C22×C131semidirect
1077. #385C22×C131semidirect
1078. #385C22×C131semidirect
1079. #385C22×C131semidirect
1080. #385C22×C131semidirect
1081. #385C22×C131semidirect
1082. #385C22×C131semidirect
1083. #383C22×C131semidirect
1084. #382C22×C131semidirect
1090. #380C22×C131semidirect
1091. #380C22×C131semidirect
1093. C4×C22⋊C4C22×C131semidirect
1094. C2×#95C22×C131semidirect
1179. C4×D4D4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C1312
C2×#525×C1312
#2849×C1312
#2847×C1312
#2694×C1312
#2693×C1312
#2690×C1312
#2688×C1312
#2687×C1312
#2678×C1312
#2676×C1312
#2675×C1312
#2673×C1312
#2672×C1312
#2671×C1312
#2669×C1312
#2668×C1312
#2635×C1312
#2630×C1312
#2609×C1312
#2602×C1312
#2598×C1312
#2543×C1312
#2535×C1312
#2431×C1312
#2430×C1312
#2318×C1312
#36713131