Finite Group Databasebeta

← #776334

Subgroups — #776334

Order 512.

3354 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2442C211yesmaximal, characteristic
2C2×#2462C211yesmaximal, characteristic, complemented
3C22×#395C211yesmaximal, characteristic
4C2×Q8×C22⋊C4C211yesmaximal, characteristic
5#16293C211yesmaximal, characteristic, complemented
6#16281C211yesmaximal, characteristic, complemented
7#15860C211yesmaximal, characteristic, complemented
8#15858C211yesmaximal, characteristic, complemented
9#15856C211yesmaximal, characteristic, complemented
10#15849C211yesmaximal, characteristic, complemented
11#15699C211yesmaximal, characteristic, complemented
12#15623C211yesmaximal, characteristic, complemented
13#15437C211yesmaximal, characteristic, complemented
14#15360C211yesmaximal, characteristic, complemented
15#14937C211yesmaximal, characteristic, complemented
16#14880C211yesmaximal, characteristic, complemented
17#14876C211yesmaximal, characteristic, complemented
18#14874C211yesmaximal, characteristic
19#14816C211yesmaximal, characteristic, complemented
20#14766C211yesmaximal, characteristic
21#14728C211yesmaximal, characteristic
22#14186C211yesmaximal, characteristic, complemented
23#14047C211yesmaximal, characteristic
24#14047C211yesmaximal, characteristic
25#14043C211yesmaximal, characteristic
26#14039C211yesmaximal, characteristic
27#13980C211yesmaximal, characteristic
28#13980C211yesmaximal, characteristic
29#13907C211yesmaximal, characteristic
30#13882C211yesmaximal, characteristic
31#13814C211yesmaximal, characteristic
32C24×Q8C2211yescharacteristic
33C22×#125C2211yescharacteristic
34C22×C4×Q8C2211yescharacteristic
35C22×C4×Q8C2211yescharacteristic
36C23×C4⋊C4C2211yescharacteristic
37C23×C4⋊C4C2211yescharacteristic
38C23×C4⋊C4C2211yescharacteristic
39#2462—28no—
40#2442—28no—
41C2×#400C2211yescharacteristic
42C2×#400C2211yescharacteristic
43C2×#398C2211yescharacteristic
44C2×#398C2211yescharacteristic
45C2×#398C2211yescharacteristic
46C2×#398C2211yescharacteristic
47C2×#398C2211yescharacteristic
48C2×#395—28no—
49C2×#395C2211yescharacteristic
50C2×#395C2211yescharacteristic
51C2×#395C2211yescharacteristic
52C2×#395C2211yescharacteristic
53C2×#395C2211yescharacteristic
54C2×#395C2211yescharacteristic
55C2×#395C2211yescharacteristic
56C2×#395C2211yescharacteristic
57C2×#395C2211yescharacteristic
58C2×#395C2211yescharacteristic
59C2×#395C2211yescharacteristic
60C2×#395C2211yescharacteristic
61Q8×C22⋊C4—28no—
62C2×#391C2211yescharacteristic
63C2×#391C2211yescharacteristic
64C2×#391C2211yescharacteristic
65C2×#391C2211yescharacteristic
66C2×#391C2211yescharacteristic
67C2×#391C2211yescharacteristic
68C2×#389C2211yescharacteristic
69C2×#389C2211yescharacteristic
70C2×#389C2211yescharacteristic
71C2×#389C2211yescharacteristic
72C2×#389C2211yescharacteristic
73C2×#389C2211yescharacteristic
74C2×#387C2211yescharacteristic
75C2×#387C2211yescharacteristic
76C2×#387C2211yescharacteristic
77C2×#387C2211yescharacteristic
78C2×#387C2211yescharacteristic
79C2×#387C2211yescharacteristic
80C2×#387C2211yescharacteristic
81C2×#387C2211yescharacteristic
82C2×#385C2211yescharacteristic
83C2×#385C2211yescharacteristic
84C2×#385C2211yescharacteristic
85C2×#385C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#382C2211yescharacteristic
89C2×#380C2211yescharacteristic
90C2×#380C2211yescharacteristic
91C2×#380C2211yescharacteristic
92C2×#380C2211yescharacteristic
93C2×#380C2211yescharacteristic
94C2×#380C2211yescharacteristic
95C2×C4×C4⋊C4C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97C2×C4×C22⋊C4C2211yescharacteristic
98C2×C4×C22⋊C4C2211yescharacteristic
99C2×C4×C22⋊C4C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101C22×#95C2211yescharacteristic
102C22×#95C2211yescharacteristic
103C22×#95C2211yescharacteristic
104#1446C2211yescharacteristic
105#1446C2211yescharacteristic
106#1446C2211yescharacteristic
107#1446C2211yescharacteristic
108#1445C2211yescharacteristic
109#1445C2211yescharacteristic
110#1445C2211yescharacteristic
111#1445C2211yescharacteristic
112#1445C2211yescharacteristic
113#1445C2211yescharacteristic
114#1445C2211yescharacteristic
115#1444C2211yescharacteristic
116#1444C2211yescharacteristic
117#1444C2211yescharacteristic
118#1444C2211yescharacteristic
119#1444C2211yescharacteristic
120#1443C2211yescharacteristic
121#1443C2211yescharacteristic
122#1443C2211yescharacteristic
123#1443C2211yescharacteristic
124#1442C2211yescharacteristic
125#1442C2211yescharacteristic
126#1442C2211yescharacteristic
127#1442C2211yescharacteristic
128#1442C2211yescharacteristic
129#1442C2211yescharacteristic
130#1442C2211yescharacteristic
131#1442C2211yescharacteristic
132#1442C2211yescharacteristic
133#1442C2211yescharacteristic
134#1441C2211yescharacteristic
135#1441C2211yescharacteristic
136#1441C2211yescharacteristic
137#1441C2211yescharacteristic
138#1441C2211yescharacteristic
139#1441C2211yescharacteristic
140#1441C2211yescharacteristic
141#1441C2211yescharacteristic
142#1441C2211yescharacteristic
143#1441C2211yescharacteristic
144#1441C2211yescharacteristic
145#1441C2211yescharacteristic
146#1441C2211yescharacteristic
147#1441C2211yescharacteristic
148#1441C2211yescharacteristic
149#1441C2211yescharacteristic
150#1441C2211yescharacteristic
151#1441C2211yescharacteristic
152#1441C2211yescharacteristic
153#1436C2211yescharacteristic
154#1436C2211yescharacteristic
155#1436C2211yescharacteristic
156#1436C2211yescharacteristic
157#1436C2211yescharacteristic
158#1436C2211yescharacteristic
159#1436C2211yescharacteristic
160#1436C2211yescharacteristic
161#1436C2211yescharacteristic
162#1436C2211yescharacteristic
163#1436C2211yescharacteristic
164#1436C2211yescharacteristic
165#1436C2211yescharacteristic
166#1436C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169#1436C2211yescharacteristic
170#1436C2211yescharacteristic
171C4⋊#95C2211yescharacteristic
172C4⋊#95C2211yescharacteristic
173C4⋊#95C2211yescharacteristic
174#1434C2211yescharacteristic
175#1434C2211yescharacteristic
176#1434C2211yescharacteristic
177#1434C2211yescharacteristic
178#1434C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C4×#95C2211yescharacteristic
191C23×Q8—24no—
192C23×Q8—24no—
193C23×Q8—24no—
194C23×Q8—24no—
195C23×Q8—42no—
196C23×Q8—42no—
197C23×Q8—42no—
198C23×Q8C2311yescharacteristic
199C23×Q8C2311yescharacteristic
200C23×Q8C2311yescharacteristic
201C23×Q8C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#125—24no—
210C2×#125—24no—
211C2×#125—42no—
212C2×C4×Q8—24no—
213C2×C4×Q8—24no—
214C2×C4×Q8—24no—
215C2×C4×Q8—42no—
216C2×C4×Q8—42no—
217C2×C4×Q8—42no—
218C22×C4⋊C4—24no—
219C22×C4⋊C4—24no—
220C22×C4⋊C4—24no—
221C22×C4⋊C4—24no—
222C22×C4⋊C4—24no—
223C22×C4⋊C4—24no—
224C22×C4⋊C4—42no—
225C22×C4⋊C4—42no—
226C22×C4⋊C4—42no—
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281#400—24no—
282#400—24no—
283#398—24no—
284#398—24no—
285#398—24no—
286#398—24no—
287#398—42no—
288#395—24no—
289#395—24no—
290#395—24no—
291#395—24no—
292#395—24no—
293#395—24no—
294#395—24no—
295#395—24no—
296#395—42no—
297#395—42no—
298#395—42no—
299#395D418yes—
300#391—24no—
301#391—24no—
302#391—24no—
303#391—24no—
304#391—24no—
305#391—24no—
306#389—24no—
307#389—24no—
308#389—24no—
309#389—24no—
310#389—42no—
311#389—42no—
312#387—24no—
313#387—24no—
314#387—24no—
315#387—24no—
316#387—24no—
317#387—24no—
318#387—42no—
319#387—42no—
320#385—24no—
321#385—24no—
322#385—24no—
323#385—24no—
324#385—24no—
325#385Q818yescomplemented
326#382—24no—
327#380—24no—
328#380—24no—
329#380—24no—
330#380—24no—
331#380—24no—
332#380D418yes—
333C4×C4⋊C4—24no—
334C4×C22⋊C4—24no—
335C4×C22⋊C4—24no—
336C4×C22⋊C4—24no—
337C4×C22⋊C4—24no—
338C4×C22⋊C4—24no—
339C2×#95—24no—
340C2×#95—24no—
341C2×#95—24no—
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
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C25C2411yescharacteristic
433C22×Q8—232no—
434C22×Q8—22no—
435C22×Q8—22no—
436C22×Q8—22no—
437C22×Q8—22no—
438C22×Q8—22no—
439C22×Q8—22no—
440C22×Q8—22no—
441C22×Q8—22no—
442C22×Q8—22no—
443C22×Q8—22no—
444C22×Q8—22no—
445C22×Q8—22no—
446C22×Q8—22no—
447C22×Q8—22no—
448C22×Q8—22no—
449C22×Q8—22no—
450C22×Q8—22no—
451C22×Q8—22no—
452C22×Q8—22no—
453C22×Q8—22no—
454C22×Q8—22no—
455C22×Q8—41no—
456C22×Q8—41no—
457C22×Q8—41no—
458C22×Q8—41no—
459C22×Q8—41no—
460C22×Q8—41no—
461C22×Q8—416no—
462C22×Q8—416no—
463C22×Q8—416no—
464C22×Q8—416no—
465C22×Q8—416no—
466C22×Q8—416no—
467C22×Q8C2×D414yes—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—22no—
471C23×C4—22no—
472C23×C4—22no—
473C23×C4—22no—
474C23×C4—22no—
475C23×C4—22no—
476C23×C4—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—22no—
485C23×C4—22no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—22no—
489C23×C4—22no—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—41no—
504C23×C4—41no—
505C23×C4—41no—
506C23×C4—41no—
507C23×C4—41no—
508C23×C4—41no—
509C23×C4—41no—
510C23×C4—41no—
511C23×C4—41no—
512C23×C4C2×D414yes—
513C23×C4C2×Q814yes—
514C23×C4#4114yes—
515C23×C4#4114yes—
516C23×C4#4114yes—
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547#125—416no—
548C4×Q8—416no—
549C4×Q8—416no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—22no—
589C2×C4⋊C4—22no—
590C2×C4⋊C4—22no—
591C2×C4⋊C4—22no—
592C2×C4⋊C4—22no—
593C2×C4⋊C4—22no—
594C2×C4⋊C4—22no—
595C2×C4⋊C4—22no—
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—416no—
620C2×C4⋊C4—416no—
621C2×C4⋊C4—416no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4—41no—
626C2×C4⋊C4—41no—
627C2×C4⋊C4—41no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C4⋊C4—41no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4C2×D414yes—
655C2×C4⋊C4C2×D414yes—
656C2×C4⋊C4C2×D414yes—
657C2×C4⋊C4C2×D414yes—
658C2×C4⋊C4C2×D414yes—
659C2×C4⋊C4C2×Q814yescomplemented
660C2×C4⋊C4C2×Q814yescomplemented
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4C2×D414yes—
682C2×C22⋊C4C2×D414yes—
683C2×C22⋊C4C2×Q814yes—
684C2×C22⋊C4C2×Q814yes—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—22no—
691C2×C42—22no—
692C2×C42—22no—
693C2×C42—22no—
694C2×C42—22no—
695C2×C42—22no—
696C2×C42—22no—
697C2×C42—22no—
698C2×C42—22no—
699C2×C42—22no—
700C2×C42—22no—
701C2×C42—22no—
702C2×C42—22no—
703C2×C42—22no—
704C2×C42—22no—
705C2×C42—41no—
706C2×C42—41no—
707C2×C42—41no—
708C2×C42—41no—
709C2×C42—41no—
710C2×C42—41no—
711C2×C42—41no—
712C2×C42—41no—
713C2×C42—41no—
714C2×C42—41no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—22no—
721#95—22no—
722#95—22no—
723#95—22no—
724#95—22no—
725#95—22no—
726#95—22no—
727#95—22no—
728#95—22no—
729#95—22no—
730#95—22no—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—22no—
745#95—22no—
746#95—22no—
747#95—22no—
748#95—22no—
749#95—22no—
750#95—22no—
751#95—22no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—41no—
775#95—41no—
776#95—41no—
777#95—41no—
778#95—41no—
779#95—41no—
780#95—41no—
781#95—41no—
782#95—41no—
783#95—41no—
784#95—41no—
785#95—41no—
786#95—41no—
787#95—41no—
788#95—41no—
789#95—41no—
790#95—41no—
791#95—41no—
792#95—41no—
793#95—41no—
794#95—41no—
795#95—41no—
796#95—41no—
797#95—41no—
798#95C2×D414yes—
799#95C2×D414yes—
800#95C2×D414yes—
801#95C2×D414yes—
802#95C2×D414yes—
803#95C2×Q814yescomplemented
804#95C2×Q814yescomplemented
805C24—21no—
806C24—21no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—21no—
812C24—21no—
813C24C22×D412yes—
814C24C22×Q812yes—
815C24C2×#4112yes—
816C24C2×#4112yes—
817C24C2×#4112yes—
818C242−1+412yes—
819C242−1+412yes—
820C24C2511yescharacteristic
821C2×Q8—28no—
822C2×Q8—28no—
823C2×Q8—28no—
824C2×Q8—28no—
825C2×Q8—28no—
826C2×Q8—28no—
827C2×Q8—28no—
828C2×Q8—28no—
829C2×Q8—28no—
830C2×Q8—28no—
831C2×Q8—44no—
832C2×Q8—44no—
833C2×Q8—44no—
834C2×Q8—44no—
835C2×Q8—44no—
836C2×Q8—44no—
837C2×Q8—44no—
838C2×Q8—44no—
839C2×Q8—44no—
840C2×Q8—44no—
841C2×Q8—44no—
842C2×Q8—44no—
843C2×Q8—44no—
844C2×Q8—44no—
845C2×Q8—44no—
846C2×Q8—4128no—
847C2×Q8—44no—
848C2×Q8—44no—
849C2×Q8—44no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
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—28no—
871C22×C4—28no—
872C22×C4—28no—
873C22×C4—28no—
874C22×C4—28no—
875C22×C4—28no—
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—21no—
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—28no—
973C22×C4—28no—
974C22×C4—28no—
975C22×C4—28no—
976C22×C4—28no—
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—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
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—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—82no—
1076C22×C4—82no—
1077C22×C4—82no—
1078C22×C4C22×D412yes—
1079C22×C4C22×D412yes—
1080C22×C4C22×D412yes—
1081C22×C4C22×D412yes—
1082C22×C4C22×D412yes—
1083C22×C4C22×D412yes—
1084C22×C4C22×D412yes—
1085C22×C4C22×D412yes—
1086C22×C4C22×D412yes—
1087C22×C4C22×D412yes—
1088C22×C4C22×D412yes—
1089C22×C4C22×D412yes—
1090C22×C4C22×D412yes—
1091C22×C4C22×Q812yes—
1092C22×C4C22×Q812yes—
1093C22×C4C22×Q812yes—
1094C22×C4C22×Q812yes—
1095C22×C4C22×Q812yes—
1096C22×C4C22×Q812yes—
1097C22×C4C2×#4112yes—
1098C22×C4C2×#4112yes—
1099C22×C4C2×#4112yes—
1100C22×C4C2×#4112yes—
1101C22×C4C2×#4112yes—
1102C22×C4C2×#4112yes—
1103C22×C4H(5,𝔽2)12yes—
1104C22×C4H(5,𝔽2)12yes—
1105C22×C4H(5,𝔽2)12yes—
1106C22×C42−1+412yes—
1107C22×C42−1+412yes—
1108C22×C42−1+412yes—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—28no—
1112C4⋊C4—28no—
1113C4⋊C4—28no—
1114C4⋊C4—44no—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—44no—
1120C4⋊C4—44no—
1121C4⋊C4—44no—
1122C4⋊C4—44no—
1123C4⋊C4—44no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—82no—
1140C4⋊C4—82no—
1141C4⋊C4—82no—
1142C4⋊C4—82no—
1143C4⋊C4—82no—
1144C4⋊C4—82no—
1145C22⋊C4—28no—
1146C22⋊C4—28no—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—44no—
1150C22⋊C4—44no—
1151C22⋊C4—44no—
1152C22⋊C4—44no—
1153C42—44no—
1154C42—44no—
1155C42—44no—
1156C42—44no—
1157C42—44no—
1158C42—44no—
1159C42—44no—
1160C42—44no—
1161C42—44no—
1162C42—82no—
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#52514yes—
1192C23#53314yes—
1193C23#54114yes—
1194C23#54714yes—
1195C23D4×Q814yes—
1196C23#55214yes—
1197C23#55714yes—
1198C23C23×D411yescharacteristic
1199C23C23×D411yescharacteristic
1200C23C23×Q811yescharacteristic
1201C23C22×#4111yescharacteristic
1202C23C22×#4111yescharacteristic
1203C23C22×#4111yescharacteristic
1204C23C2×H(5,𝔽2)11yescharacteristic
1205C23C2×H(5,𝔽2)11yescharacteristic
1206C23C2×H(5,𝔽2)11yescharacteristic
1207C23C2×2−1+411yescharacteristic
1208C23C2×2−1+411yescharacteristic
1209C23C2×2−1+411yescharacteristic
1210C23C2×2−1+411yescharacteristic
1211C23C2×2−1+411yescharacteristic
1212C23#58511yescharacteristic
1213Q8—232no—
1214Q8—416no—
1215Q8—416no—
1216Q8—416no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
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—416no—
1296C2×C4—416no—
1297C2×C4—416no—
1298C2×C4—416no—
1299C2×C4—416no—
1300C2×C4—416no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
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—88no—
1429C2×C4D4214yes—
1430C2×C4#54614yes—
1431C2×C4#54614yes—
1432C2×C4#54814yes—
1433C2×C4D4×Q814yes—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22#246218yescomplemented
1449C22C2×#52511yescharacteristic
1450C22C2×#53311yescharacteristic
1451C22C2×#54111yescharacteristic
1452C22C2×D4211yescharacteristic
1453C22C2×#54611yescharacteristic
1454C22C2×#54611yescharacteristic
1455C22C2×#54711yescharacteristic
1456C22C2×#54811yescharacteristic
1457C22C2×D4×Q811yescharacteristic
1458C22C2×D4×Q811yescharacteristic
1459C22C2×#55211yescharacteristic
1460C22C2×#55711yescharacteristic
1461C22#348411yescharacteristic
1462C22#348611yescharacteristic
1463C22#348911yescharacteristic
1464C22#348911yescharacteristic
1465C22#349011yescharacteristic
1466C22#349011yescharacteristic
1467C22#349511yescharacteristic
1468C22#349511yescharacteristic
1469C22#349911yescharacteristic
1470C22#350111yescharacteristic
1471C22#350311yescharacteristic
1472C22#350311yescharacteristic
1473C22#350511yescharacteristic
1474C22#350911yescharacteristic
1475C22#350911yescharacteristic
1476C22#351111yescharacteristic
1477C22#351111yescharacteristic
1478C22#353811yescharacteristic
1479C22#353811yescharacteristic
1480C22#353811yescharacteristic
1481C22#354111yescharacteristic
1482C22#355211yescharacteristic
1483C22#355211yescharacteristic
1484C4—24no—
1485C4—24no—
1486C4—24no—
1487C4—24no—
1488C4—24no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C2—28no—
1515C2C2×#246211yescharacteristic
1516C2#3593111yescharacteristic
1517C2#3608611yescharacteristic
1518C2#3609811yescharacteristic
1519C2#3612911yescharacteristic
1520C2#3766311yescharacteristic
1521C2#4054711yescharacteristic
1522C2#4309711yescharacteristic
1523C2#4312511yescharacteristic
1524C2#4389111yescharacteristic
1525C2#4395811yescharacteristic
1526C2#5899811yescharacteristic
1527C2#5901411yescharacteristic
1528C2#5912511yescharacteristic
1529C2#5914411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC25C24
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2462C2semidirect
5. #16293C2semidirect
6. #16281C2semidirect
7. #15860C2semidirect
8. #15858C2semidirect
9. #15856C2semidirect
10. #15849C2semidirect
11. #15699C2semidirect
12. #15623C2semidirect
13. #15437C2semidirect
14. #15360C2semidirect
15. #14937C2semidirect
16. #14880C2semidirect
17. #14876C2semidirect
19. #14816C2semidirect
22. #14186C2semidirect
325. #385Q8semidirect
659. C2×C4⋊C4C2×Q8semidirect
660. C2×C4⋊C4C2×Q8semidirect
803. #95C2×Q8semidirect
804. #95C2×Q8semidirect
1448. C22#2462semidirect

Maximal subgroups

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

subgroupindex
C2×#24422
C2×#24622
C22×#3952
C2×Q8×C22⋊C42
#162932
#162812
#158602
#158582
#158562
#158492
#156992
#156232
#154372
#153602
#149372
#148802
#148762
#148742
#148162
#147662
#147282
#141862
#140472
#140432
#140392
#139802
#139072
#138822
#138142