Finite Group Databasebeta

← #880560

Subgroups — #880560

Order 512.

2748 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#16929C211yesmaximal, characteristic, complemented
2#16850C211yesmaximal, characteristic, complemented
3#16761C211yesmaximal, characteristic, complemented
4#16645C211yesmaximal, characteristic, complemented
5#15883C211yesmaximal, characteristic, complemented
6#15855C211yesmaximal, characteristic, complemented
7#15749C211yesmaximal, characteristic, complemented
8#15749C211yesmaximal, characteristic, complemented
9#15739C211yesmaximal, characteristic, complemented
10#15650C211yesmaximal, characteristic, complemented
11#15637C211yesmaximal, characteristic, complemented
12#15499C211yesmaximal, characteristic, complemented
13#14955C211yesmaximal, characteristic, complemented
14#14738C211yesmaximal, characteristic, complemented
15#14734C211yesmaximal, characteristic
16#14727C211yesmaximal, characteristic
17#14727C211yesmaximal, characteristic
18#14717C211yesmaximal, characteristic
19#14702C211yesmaximal, characteristic, complemented
20#14695C211yesmaximal, characteristic, complemented
21#14619C211yesmaximal, characteristic, complemented
22#14530C211yesmaximal, characteristic, complemented
23#14512C211yesmaximal, characteristic, complemented
24#14412C211yesmaximal, characteristic, complemented
25#14052C211yesmaximal, characteristic, complemented
26#14040C211yesmaximal, characteristic, complemented
27#14028C211yesmaximal, characteristic, complemented
28#13971C211yesmaximal, characteristic
29#13971C211yesmaximal, characteristic
30#13896C211yesmaximal, characteristic, complemented
31C2×#1437C211yesmaximal, characteristic
32C22×C22⋊Q8C2211yescharacteristic
33C23×C22⋊C4C2211yescharacteristic
34C23×C22⋊C4C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C42C2211yescharacteristic
37C2×#400C2211yescharacteristic, complemented
38C2×#399C2211yescharacteristic
39C2×#399C2211yescharacteristic
40C2×#397C2211yescharacteristic
41C2×#397C2211yescharacteristic
42C2×#397C2211yescharacteristic
43C2×#397C2211yescharacteristic
44C2×#393C2211yescharacteristic
45C2×#393C2211yescharacteristic
46C2×#391C2211yescharacteristic, complemented
47C2×#391C2211yescharacteristic, complemented
48C2×#391C2211yescharacteristic, complemented
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#387C2211yescharacteristic, complemented
54C2×#387C2211yescharacteristic, complemented
55C2×#387C2211yescharacteristic, complemented
56C2×#385C2211yescharacteristic
57C2×#385C2211yescharacteristic
58C2×#385C2211yescharacteristic
59C2×#385C2211yescharacteristic
60C2×#385C2211yescharacteristic
61C2×#385C2211yescharacteristic
62C2×#382C2211yescharacteristic, complemented
63C2×#380C2211yescharacteristic
64C2×#379C2211yescharacteristic
65C2×#379C2211yescharacteristic
66C2×#379C2211yescharacteristic
67C2×#379C2211yescharacteristic
68C2×C4×C22⋊C4C2211yescharacteristic
69C2×C4×C22⋊C4C2211yescharacteristic
70C22×#95C2211yescharacteristic
71C22×#95C2211yescharacteristic
72C22×#95C2211yescharacteristic
73#1446C2211yescharacteristic, complemented
74#1445C2211yescharacteristic, complemented
75#1445C2211yescharacteristic, complemented
76#1445C2211yescharacteristic, complemented
77#1445C2211yescharacteristic, complemented
78#1445C2211yescharacteristic, complemented
79#1443C2211yescharacteristic, complemented
80#1443C2211yescharacteristic, complemented
81#1443C2211yescharacteristic, complemented
82#1443C2211yescharacteristic, complemented
83#1443C2211yescharacteristic, complemented
84#1442C2211yescharacteristic, complemented
85#1442C2211yescharacteristic, complemented
86#1442C2211yescharacteristic, complemented
87#1442C2211yescharacteristic, complemented
88#1442C2211yescharacteristic, complemented
89#1442C2211yescharacteristic, complemented
90#1442C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1442C2211yescharacteristic, complemented
93#1442C2211yescharacteristic, complemented
94#1442C2211yescharacteristic, complemented
95#1442C2211yescharacteristic, complemented
96#1441C2211yescharacteristic, complemented
97#1441C2211yescharacteristic, complemented
98#1441C2211yescharacteristic, complemented
99#1441C2211yescharacteristic, complemented
100#1441C2211yescharacteristic, complemented
101#1441C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1440C2211yescharacteristic
105#1440C2211yescharacteristic
106#1440C2211yescharacteristic
107#1440C2211yescharacteristic
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1440C2211yescharacteristic
111#1440C2211yescharacteristic
112#1440C2211yescharacteristic
113#1440C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1437C2211yescharacteristic
137#1437C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1436C2211yescharacteristic, complemented
149#1436C2211yescharacteristic, complemented
150#1436C2211yescharacteristic, complemented
151#1436C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154#1436C2211yescharacteristic, complemented
155#1436C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162C4⋊#95C2211yescharacteristic, complemented
163C4⋊#95C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165C4⋊#95C2211yescharacteristic, complemented
166#1434C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172#1434C2211yescharacteristic, complemented
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C26C2311yescharacteristic
188C23×Q8C2311yescharacteristic
189C24×C4C2311yescharacteristic
190C24×C4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C2×C22⋊Q8—24no—
196C2×C22⋊Q8—24no—
197C2×C22⋊Q8—42no—
198C22×C4⋊C4C2311yescharacteristic
199C22×C4⋊C4C2311yescharacteristic
200C22×C4⋊C4C2311yescharacteristic
201C22×C4⋊C4C2311yescharacteristic
202C22×C4⋊C4C2311yescharacteristic
203C22×C4⋊C4C2311yescharacteristic
204C22×C4⋊C4C2311yescharacteristic
205C22×C4⋊C4C2311yescharacteristic
206C22×C4⋊C4C2311yescharacteristic
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C22⋊C4—24no—
216C22×C22⋊C4—24no—
217C22×C22⋊C4—24no—
218C22×C22⋊C4—42no—
219C22×C22⋊C4—42no—
220C22×C22⋊C4—42no—
221C22×C22⋊C4—42no—
222C22×C22⋊C4—42no—
223C22×C22⋊C4—42no—
224C22×C22⋊C4C2311yescharacteristic
225C22×C22⋊C4C2311yescharacteristic
226C22×C22⋊C4C2311yescharacteristic
227C22×C22⋊C4C2311yescharacteristic
228C22×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C42—42no—
261C22×C42—42no—
262C22×C42—42no—
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271#400—42no—
272#399—42no—
273#399—42no—
274#397—24no—
275#397—24no—
276#397—42no—
277#397—42no—
278#393—42no—
279#393—42no—
280#391—42no—
281#391—42no—
282#391—42no—
283#388—24no—
284#388—24no—
285#388—42no—
286#388—42no—
287#387—42no—
288#387—42no—
289#387—42no—
290#385—24no—
291#385—24no—
292#385—42no—
293#385—42no—
294#385—42no—
295#385—42no—
296#382—42no—
297#380—24no—
298#379—24no—
299#379—24no—
300#379—42no—
301#379—42no—
302C4×C22⋊C4—24no—
303C4×C22⋊C4—42no—
304C2×#95—42no—
305C2×#95—42no—
306C2×#95—42no—
307C2×#95C2311yescharacteristic
308C2×#95C2311yescharacteristic
309C2×#95C2311yescharacteristic
310C2×#95C2311yescharacteristic
311C2×#95C2311yescharacteristic
312C2×#95C2311yescharacteristic
313C2×#95C2311yescharacteristic
314C2×#95C2311yescharacteristic
315C2×#95C2311yescharacteristic
316C2×#95C2311yescharacteristic
317C2×#95C2311yescharacteristic
318C2×#95C2311yescharacteristic
319C2×#95C2311yescharacteristic
320C2×#95C2311yescharacteristic
321C2×#95C2311yescharacteristic
322C2×#95C2311yescharacteristic
323C2×#95C2311yescharacteristic
324C2×#95C2311yescharacteristic
325C2×#95C2311yescharacteristic
326C2×#95C2311yescharacteristic
327C2×#95C2311yescharacteristic
328C2×#95C2311yescharacteristic
329C2×#95C2311yescharacteristic
330C2×#95C2311yescharacteristic
331C2×#95C2311yescharacteristic
332C2×#95C2311yescharacteristic
333C2×#95C2311yescharacteristic
334C2×#95C2311yescharacteristic
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C25—22no—
394C25—22no—
395C25—22no—
396C25—22no—
397C25—22no—
398C25—22no—
399C25—22no—
400C25—22no—
401C25—22no—
402C25—41no—
403C25—41no—
404C25—41no—
405C25—41no—
406C25—41no—
407C25—41no—
408C25C2411yescharacteristic
409C25C2411yescharacteristic
410C25C2411yescharacteristic
411C22×Q8—22no—
412C22×Q8—22no—
413C22×Q8—22no—
414C22×Q8—22no—
415C22×Q8—41no—
416C22×Q8—41no—
417C22×Q8—41no—
418C23×C4—22no—
419C23×C4—22no—
420C23×C4—22no—
421C23×C4—22no—
422C23×C4—22no—
423C23×C4—22no—
424C23×C4—22no—
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—22no—
433C23×C4—22no—
434C23×C4—22no—
435C23×C4—22no—
436C23×C4—22no—
437C23×C4—22no—
438C23×C4—22no—
439C23×C4—22no—
440C23×C4—22no—
441C23×C4—22no—
442C23×C4—22no—
443C23×C4—41no—
444C23×C4—41no—
445C23×C4—41no—
446C23×C4—41no—
447C23×C4—41no—
448C23×C4—41no—
449C23×C4—41no—
450C23×C4—41no—
451C23×C4—41no—
452C23×C4—41no—
453C23×C4—41no—
454C23×C4—41no—
455C23×C4—41no—
456C23×C4—41no—
457C23×C4—41no—
458C23×C4—41no—
459C23×C4#4114yes—
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472C23×C4C2411yescharacteristic
473C23×C4C2411yescharacteristic
474C23×C4C2411yescharacteristic
475C23×C4C2411yescharacteristic
476C23×C4C2411yescharacteristic
477C23×C4C2411yescharacteristic
478C23×C4C2411yescharacteristic
479C23×C4C2411yescharacteristic
480C23×C4C2411yescharacteristic
481C23×C4C2411yescharacteristic
482C23×C4C2411yescharacteristic
483C23×C4C2411yescharacteristic
484C23×C4C2411yescharacteristic
485C23×C4C2411yescharacteristic
486C23×C4C2411yescharacteristic
487C23×C4C2411yescharacteristic
488C22⋊Q8—416no—
489C2×C4⋊C4—22no—
490C2×C4⋊C4—22no—
491C2×C4⋊C4—22no—
492C2×C4⋊C4—22no—
493C2×C4⋊C4—22no—
494C2×C4⋊C4—22no—
495C2×C4⋊C4—22no—
496C2×C4⋊C4—22no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—22no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4—22no—
502C2×C4⋊C4—22no—
503C2×C4⋊C4—22no—
504C2×C4⋊C4—22no—
505C2×C4⋊C4—22no—
506C2×C4⋊C4—22no—
507C2×C4⋊C4—22no—
508C2×C4⋊C4—22no—
509C2×C4⋊C4—41no—
510C2×C4⋊C4—41no—
511C2×C4⋊C4—41no—
512C2×C4⋊C4—41no—
513C2×C4⋊C4—41no—
514C2×C4⋊C4—41no—
515C2×C4⋊C4—41no—
516C2×C4⋊C4—41no—
517C2×C4⋊C4—41no—
518C2×C4⋊C4—41no—
519C2×C4⋊C4—41no—
520C2×C4⋊C4—41no—
521C2×C4⋊C4—41no—
522C2×C4⋊C4—41no—
523C2×C4⋊C4—41no—
524C2×C4⋊C4—41no—
525C2×C4⋊C4—41no—
526C2×C4⋊C4—41no—
527C2×C4⋊C4—41no—
528C2×C4⋊C4—41no—
529C2×C4⋊C4—41no—
530C2×C4⋊C4—41no—
531C2×C4⋊C4—41no—
532C2×C4⋊C4—41no—
533C2×C4⋊C4—41no—
534C2×C4⋊C4—41no—
535C2×C4⋊C4—41no—
536C2×C4⋊C4—41no—
537C2×C4⋊C4—41no—
538C2×C4⋊C4—41no—
539C2×C4⋊C4—41no—
540C2×C22⋊C4—22no—
541C2×C22⋊C4—22no—
542C2×C22⋊C4—22no—
543C2×C22⋊C4—22no—
544C2×C22⋊C4—22no—
545C2×C22⋊C4—22no—
546C2×C22⋊C4—22no—
547C2×C22⋊C4—22no—
548C2×C22⋊C4—22no—
549C2×C22⋊C4—22no—
550C2×C22⋊C4—22no—
551C2×C22⋊C4—22no—
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
577C2×C22⋊C4—22no—
578C2×C22⋊C4—22no—
579C2×C22⋊C4—22no—
580C2×C22⋊C4—22no—
581C2×C22⋊C4—22no—
582C2×C22⋊C4—22no—
583C2×C22⋊C4—22no—
584C2×C22⋊C4—22no—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—41no—
597C2×C22⋊C4—41no—
598C2×C22⋊C4—41no—
599C2×C22⋊C4—41no—
600C2×C22⋊C4—41no—
601C2×C22⋊C4—41no—
602C2×C22⋊C4—41no—
603C2×C22⋊C4—41no—
604C2×C22⋊C4—41no—
605C2×C22⋊C4—41no—
606C2×C22⋊C4—41no—
607C2×C22⋊C4—41no—
608C2×C22⋊C4—41no—
609C2×C22⋊C4—41no—
610C2×C22⋊C4—41no—
611C2×C22⋊C4—41no—
612C2×C22⋊C4—41no—
613C2×C22⋊C4—41no—
614C2×C22⋊C4—41no—
615C2×C22⋊C4—41no—
616C2×C22⋊C4—416no—
617C2×C22⋊C4—416no—
618C2×C22⋊C4—416no—
619C2×C22⋊C4—41no—
620C2×C22⋊C4—41no—
621C2×C22⋊C4—41no—
622C2×C22⋊C4—41no—
623C2×C22⋊C4—41no—
624C2×C22⋊C4—41no—
625C2×C22⋊C4—41no—
626C2×C22⋊C4—41no—
627C2×C22⋊C4—41no—
628C2×C22⋊C4—41no—
629C2×C22⋊C4—41no—
630C2×C22⋊C4—41no—
631C2×C22⋊C4—41no—
632C2×C22⋊C4—41no—
633C2×C22⋊C4—41no—
634C2×C22⋊C4—41no—
635C2×C22⋊C4—41no—
636C2×C22⋊C4—41no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4#4114yes—
648C2×C22⋊C4#4114yes—
649C2×C22⋊C4#4114yes—
650C2×C22⋊C4#4114yes—
651C2×C42—22no—
652C2×C42—22no—
653C2×C42—22no—
654C2×C42—22no—
655C2×C42—22no—
656C2×C42—22no—
657C2×C42—22no—
658C2×C42—22no—
659C2×C42—41no—
660C2×C42—41no—
661C2×C42—41no—
662C2×C42—41no—
663C2×C42—41no—
664C2×C42—41no—
665C2×C42—41no—
666C2×C42—41no—
667C2×C42—41no—
668C2×C42—416no—
669C2×C42—41no—
670C2×C42—41no—
671C2×C42—41no—
672C2×C42—41no—
673C2×C42—41no—
674C2×C42—41no—
675C2×C42—41no—
676#95—22no—
677#95—22no—
678#95—22no—
679#95—22no—
680#95—22no—
681#95—22no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—22no—
689#95—22no—
690#95—22no—
691#95—22no—
692#95—22no—
693#95—22no—
694#95—22no—
695#95—22no—
696#95—22no—
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—41no—
709#95—41no—
710#95—41no—
711#95—41no—
712#95—41no—
713#95—41no—
714#95—41no—
715#95—41no—
716#95—41no—
717#95—41no—
718#95—41no—
719#95—41no—
720#95—41no—
721#95—41no—
722#95—41no—
723#95—41no—
724#95—41no—
725#95—41no—
726#95—41no—
727#95—41no—
728#95—41no—
729#95—41no—
730#95—41no—
731#95—41no—
732#95—41no—
733#95—41no—
734#95—41no—
735#95—41no—
736#95—41no—
737#95—41no—
738#95—41no—
739#95—41no—
740#95—41no—
741#95—41no—
742#95—41no—
743#95—41no—
744#95—41no—
745#95—41no—
746#95—41no—
747#95—41no—
748#95—41no—
749#95—41no—
750#95—41no—
751#95—41no—
752#95—41no—
753#95—41no—
754#95—41no—
755#95—41no—
756#95—41no—
757#95—41no—
758#95—41no—
759#95—41no—
760#95—41no—
761#95—41no—
762C24—21no—
763C24—21no—
764C24—21no—
765C24—21no—
766C24—21no—
767C24—21no—
768C24—21no—
769C24—21no—
770C24—28no—
771C24—21no—
772C24—21no—
773C24—21no—
774C24—21no—
775C24—21no—
776C24—21no—
777C24—21no—
778C24—21no—
779C24—21no—
780C24—21no—
781C24—21no—
782C24—21no—
783C24—21no—
784C24—21no—
785C24—21no—
786C24—21no—
787C24—21no—
788C24—21no—
789C24—21no—
790C24—21no—
791C24—21no—
792C24—21no—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—21no—
799C24—44no—
800C24—44no—
801C24—44no—
802C24—44no—
803C24—44no—
804C24—44no—
805C24—44no—
806C24—44no—
807C24—44no—
808C24—44no—
809C24—44no—
810C24—44no—
811C24—44no—
812C24—44no—
813C24—44no—
814C24—44no—
815C24—44no—
816C24—44no—
817C24—44no—
818C24—44no—
819C24—44no—
820C24—44no—
821C24—82no—
822C24—82no—
823C24—82no—
824C24—82no—
825C24—82no—
826C24—82no—
827C24—82no—
828C24—82no—
829C24—82no—
830C24—82no—
831C24—82no—
832C24—82no—
833C24C2×#4112yes—
834C24C2×#4112yes—
835C24C2×#4112yes—
836C24C2×#4112yes—
837C24C2×#4112yes—
838C24H(5,𝔽2)12yes—
839C24H(5,𝔽2)12yes—
840C242−1+412yes—
841C242−1+412yes—
842C24C2511yescharacteristic
843C2×Q8—44no—
844C2×Q8—44no—
845C2×Q8—44no—
846C2×Q8—44no—
847C2×Q8—82no—
848C2×Q8—82no—
849C2×Q8—82no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—28no—
855C22×C4—28no—
856C22×C4—28no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—28no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4—44no—
1047C22×C4—44no—
1048C22×C4—44no—
1049C22×C4—44no—
1050C22×C4—44no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—44no—
1054C22×C4—44no—
1055C22×C4—44no—
1056C22×C4—44no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—82no—
1065C22×C4—82no—
1066C22×C4—82no—
1067C22×C4—82no—
1068C22×C4—82no—
1069C22×C4—82no—
1070C22×C4—82no—
1071C22×C4—82no—
1072C22×C4—82no—
1073C22×C4—82no—
1074C22×C4C2×#4112yes—
1075C22×C4C2×#4112yes—
1076C22×C4C2×#4112yes—
1077C22×C4C2×#4112yes—
1078C22×C4C2×#4112yes—
1079C22×C4C2×#4112yes—
1080C22×C4C2×#4112yes—
1081C22×C4C2×#4112yes—
1082C22×C4C2×#4112yes—
1083C22×C4C2×#4112yes—
1084C22×C4H(5,𝔽2)12yes—
1085C22×C4H(5,𝔽2)12yes—
1086C22×C4H(5,𝔽2)12yes—
1087C22×C4H(5,𝔽2)12yes—
1088C4⋊C4—44no—
1089C4⋊C4—44no—
1090C4⋊C4—44no—
1091C4⋊C4—44no—
1092C4⋊C4—44no—
1093C4⋊C4—44no—
1094C4⋊C4—82no—
1095C4⋊C4—82no—
1096C4⋊C4—82no—
1097C4⋊C4—82no—
1098C4⋊C4—82no—
1099C4⋊C4—82no—
1100C4⋊C4—82no—
1101C4⋊C4—82no—
1102C4⋊C4—82no—
1103C4⋊C4—82no—
1104C4⋊C4—82no—
1105C22⋊C4—28no—
1106C22⋊C4—28no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C22⋊C4—44no—
1128C22⋊C4—44no—
1129C22⋊C4—82no—
1130C22⋊C4—82no—
1131C22⋊C4—82no—
1132C22⋊C4—82no—
1133C22⋊C4—82no—
1134C22⋊C4—82no—
1135C22⋊C4—82no—
1136C22⋊C4—82no—
1137C22⋊C4—82no—
1138C22⋊C4—82no—
1139C22⋊C4—82no—
1140C22⋊C4—82no—
1141C42—44no—
1142C42—44no—
1143C42—44no—
1144C42—44no—
1145C42—44no—
1146C42—82no—
1147C42—82no—
1148C42—82no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—416no—
1192C23—416no—
1193C23—416no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—88no—
1251C23—88no—
1252C23—88no—
1253C23—88no—
1254C23—88no—
1255C23—88no—
1256C23—88no—
1257C23—88no—
1258C23—88no—
1259C23—88no—
1260C23—88no—
1261C23—88no—
1262C23#54114yes—
1263C23#54214yes—
1264C23#54214yes—
1265C23#55114yes—
1266C23#55214yes—
1267C23#55914yes—
1268C23#56214yes—
1269C23C22×#4111yescharacteristic
1270C23C22×#4111yescharacteristic
1271C23C22×#4111yescharacteristic
1272C23C22×#4111yescharacteristic
1273C23C22×#4111yescharacteristic
1274C23C2×H(5,𝔽2)11yescharacteristic
1275C23C2×H(5,𝔽2)11yescharacteristic
1276C23C2×H(5,𝔽2)11yescharacteristic
1277C23C2×H(5,𝔽2)11yescharacteristic
1278C23C2×H(5,𝔽2)11yescharacteristic
1279C23C2×H(5,𝔽2)11yescharacteristic
1280C23C2×2−1+411yescharacteristic
1281C23C2×2−1+411yescharacteristic
1282C23#58511yescharacteristic
1283C23#58511yescharacteristic
1284Q8—88no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—416no—
1325C2×C4—416no—
1326C2×C4—416no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—88no—
1484C2×C4—88no—
1485C2×C4—88no—
1486C2×C4#53814yes—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—832no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22#275418yes—
1533C22#344411yescharacteristic
1534C22C2×#53811yescharacteristic
1535C22C2×#54111yescharacteristic
1536C22C2×#54211yescharacteristic
1537C22C2×#54211yescharacteristic
1538C22C2×#55111yescharacteristic
1539C22C2×#55211yescharacteristic
1540C22#347511yescharacteristic
1541C22#347511yescharacteristic
1542C22C2×#55911yescharacteristic
1543C22#348111yescharacteristic
1544C22#348111yescharacteristic
1545C22#349011yescharacteristic
1546C22#349011yescharacteristic
1547C22#350511yescharacteristic
1548C22#350611yescharacteristic
1549C22#351311yescharacteristic
1550C22#351311yescharacteristic
1551C22#351311yescharacteristic
1552C22#351411yescharacteristic
1553C22#351911yescharacteristic
1554C22#351911yescharacteristic
1555C22#352011yescharacteristic
1556C22#352011yescharacteristic
1557C22#352011yescharacteristic
1558C22#352011yescharacteristic
1559C22C2×#56211yescharacteristic
1560C22#353211yescharacteristic
1561C22#353411yescharacteristic
1562C22#353511yescharacteristic
1563C22#353611yescharacteristic
1564C22#354211yescharacteristic
1565C22#354311yescharacteristic
1566C22#356111yescharacteristic
1567C22#356411yescharacteristic
1568C4—24no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C2—28no—
1597C2—82no—
1598C2—82no—
1599C2#3508611yescharacteristic
1600C2#3633011yescharacteristic
1601C2#3652111yescharacteristic
1602C2#3676011yescharacteristic
1603C2#3810811yescharacteristic
1604C2#3813411yescharacteristic
1605C2#3817011yescharacteristic
1606C2#3854211yescharacteristic
1607C2#3856611yescharacteristic
1608C2#3919811yescharacteristic
1609C2#4556211yescharacteristic
1610C2#4573311yescharacteristic
1611C2C2×#275411yescharacteristic
1612C2#5949211yescharacteristic
1613C2#5949411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #16929C2semidirect
2. #16850C2semidirect
3. #16761C2semidirect
4. #16645C2semidirect
5. #15883C2semidirect
6. #15855C2semidirect
7. #15749C2semidirect
8. #15749C2semidirect
9. #15739C2semidirect
10. #15650C2semidirect
11. #15637C2semidirect
12. #15499C2semidirect
13. #14955C2semidirect
14. #14738C2semidirect
19. #14702C2semidirect
20. #14695C2semidirect
21. #14619C2semidirect
22. #14530C2semidirect
23. #14512C2semidirect
24. #14412C2semidirect
25. #14052C2semidirect
26. #14040C2semidirect
27. #14028C2semidirect
30. #13896C2semidirect
37. C2×#400C22semidirect
46. C2×#391C22semidirect
47. C2×#391C22semidirect
48. C2×#391C22semidirect
53. C2×#387C22semidirect
54. C2×#387C22semidirect
55. C2×#387C22semidirect
62. C2×#382C22semidirect
73. #1446C22semidirect
74. #1445C22semidirect
75. #1445C22semidirect
76. #1445C22semidirect
77. #1445C22semidirect
78. #1445C22semidirect
79. #1443C22semidirect
80. #1443C22semidirect
81. #1443C22semidirect
82. #1443C22semidirect
83. #1443C22semidirect
84. #1442C22semidirect
85. #1442C22semidirect
86. #1442C22semidirect
87. #1442C22semidirect
88. #1442C22semidirect
89. #1442C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1442C22semidirect
93. #1442C22semidirect
94. #1442C22semidirect
95. #1442C22semidirect
96. #1441C22semidirect
97. #1441C22semidirect
98. #1441C22semidirect
99. #1441C22semidirect
100. #1441C22semidirect
101. #1441C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
148. #1436C22semidirect
149. #1436C22semidirect
150. #1436C22semidirect
151. #1436C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. #1436C22semidirect
155. #1436C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. C4⋊#95C22semidirect
163. C4⋊#95C22semidirect
164. C4⋊#95C22semidirect
165. C4⋊#95C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
170. #1434C22semidirect
171. #1434C22semidirect
172. #1434C22semidirect

Maximal subgroups

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

subgroupindex
#169292
#168502
#167612
#166452
#158832
#158552
#157492
#157392
#156502
#156372
#154992
#149552
#147382
#147342
#147272
#147172
#147022
#146952
#146192
#145302
#145122
#144122
#140522
#140402
#140282
#139712
#138962
C2×#14372