Finite Group Databasebeta

← #557698

Subgroups — #557698

Order 512.

2960 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2425C211yesmaximal, characteristic
2C2×#2377C211yesmaximal, characteristic
3C2×#2376C211yesmaximal, characteristic, complemented
4#14697C211yesmaximal, characteristic, complemented
5#14696C211yesmaximal, characteristic, complemented
6#14627C211yesmaximal, characteristic, complemented
7#14622C211yesmaximal, characteristic, complemented
8#14576C211yesmaximal, characteristic, complemented
9#14571C211yesmaximal, characteristic, complemented
10#14562C211yesmaximal, characteristic, complemented
11#14557C211yesmaximal, characteristic, complemented
12#14549C211yesmaximal, characteristic, complemented
13#14548C211yesmaximal, characteristic, complemented
14#14505C211yesmaximal, characteristic, complemented
15#14384C211yesmaximal, characteristic, complemented
16#14382C211yesmaximal, characteristic, complemented
17#14363C211yesmaximal, characteristic
18#14360C211yesmaximal, characteristic, complemented
19#14359C211yesmaximal, characteristic, complemented
20#14158C211yesmaximal, characteristic, complemented
21#14156C211yesmaximal, characteristic, complemented
22#14116C211yesmaximal, characteristic, complemented
23#14108C211yesmaximal, characteristic, complemented
24#14092C211yesmaximal, characteristic, complemented
25#14068C211yesmaximal, characteristic, complemented
26#14012C211yesmaximal, characteristic, complemented
27#13988C211yesmaximal, characteristic, complemented
28#13920C211yesmaximal, characteristic, complemented
29#13908C211yesmaximal, characteristic, complemented
30#13874C211yesmaximal, characteristic, complemented
31C4×#386C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C23×C42C2211yescharacteristic
37#2425C4116yescomplemented
38C2×#398C2211yescharacteristic
39C2×#397C2211yescharacteristic
40C2×#396C2211yescharacteristic
41C2×#394C2211yescharacteristic
42#2377—28no—
43#2376—28no—
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#389C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#388C2211yescharacteristic
58C2×#388C2211yescharacteristic
59C2×#388C2211yescharacteristic
60C2×#388C2211yescharacteristic
61C2×#388C2211yescharacteristic
62C2×#388C2211yescharacteristic
63C2×#388C2211yescharacteristic
64C2×#387C2211yescharacteristic
65C2×#387C2211yescharacteristic
66C2×#387C2211yescharacteristic
67C2×#387C2211yescharacteristic
68C2×#387C2211yescharacteristic
69C2×#386C2211yescharacteristic
70C2×#386C2211yescharacteristic
71C2×#386C2211yescharacteristic
72C2×#386C2211yescharacteristic
73C2×#386C2211yescharacteristic
74C2×#386C2211yescharacteristic
75C2×#386C2211yescharacteristic
76C2×#386C2211yescharacteristic
77C2×#385C2211yescharacteristic
78C2×#385C2211yescharacteristic
79C2×#385C2211yescharacteristic
80C2×#385C2211yescharacteristic
81C2×#385C2211yescharacteristic
82C2×#385C2211yescharacteristic
83C2×#381C2211yescharacteristic
84C2×#381C2211yescharacteristic
85C2×#380C2211yescharacteristic
86C2×#380C2211yescharacteristic
87C2×#380C2211yescharacteristic
88C2×#380C2211yescharacteristic
89C2×#380C2211yescharacteristic
90C2×#380C2211yescharacteristic
91C2×C4×C22⋊C4C2211yescharacteristic
92C2×C4×C22⋊C4C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94C2×C4×C22⋊C4C2211yescharacteristic
95C22×#95C2211yescharacteristic
96#1445C2211yescharacteristic
97#1445C2211yescharacteristic
98#1445C2211yescharacteristic
99#1444C2211yescharacteristic
100#1444C2211yescharacteristic
101#1444C2211yescharacteristic
102#1443C2211yescharacteristic
103#1443C2211yescharacteristic
104#1443C2211yescharacteristic
105#1443C2211yescharacteristic
106#1442C2211yescharacteristic
107#1442C2211yescharacteristic
108#1442C2211yescharacteristic
109#1442C2211yescharacteristic
110#1442C2211yescharacteristic
111#1442C2211yescharacteristic
112#1442C2211yescharacteristic
113#1441C2211yescharacteristic
114#1441C2211yescharacteristic
115#1441C2211yescharacteristic
116#1441C2211yescharacteristic
117#1441C2211yescharacteristic
118#1441C2211yescharacteristic
119#1441C2211yescharacteristic
120#1441C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1438C2211yescharacteristic
138#1438C2211yescharacteristic
139#1438C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1436C2211yescharacteristic
147#1436C2211yescharacteristic
148#1436C2211yescharacteristic
149#1436C2211yescharacteristic
150#1436C2211yescharacteristic
151#1436C2211yescharacteristic
152#1436C2211yescharacteristic
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
166C4⋊#95C2211yescharacteristic
167C4⋊#95C2211yescharacteristic
168C4⋊#95C2211yescharacteristic
169#1434C2211yescharacteristic
170#1434C2211yescharacteristic
171#1434C2211yescharacteristic
172#1434C2211yescharacteristic
173#1434C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C4×#95C2211yescharacteristic
187C4×#95C2211yescharacteristic
188C4×#95C2211yescharacteristic
189C4×#95C2211yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C2×#123—24no—
201C2×#123—24no—
202C2×#123—42no—
203C2×#123—42no—
204C2×#123C2×C418yescomplemented
205C2×#123C2×C418yescomplemented
206C2×#121—24no—
207C2×#121—24no—
208C2×#121C2×C418yes—
209C2×C4×D4—42no—
210C2×C4×D4—42no—
211C2×C4×D4C2×C418yescomplemented
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
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×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×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C42—42no—
268C22×C42—42no—
269C22×C42—42no—
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282#398C2×C418yescomplemented
283#397C2×C418yescomplemented
284#396C2×C418yescomplemented
285#394C2×C418yes—
286#390—24no—
287#390—24no—
288#390—24no—
289#389—24no—
290#389—24no—
291#389—42no—
292#389—42no—
293#389—42no—
294#389—42no—
295#389C2×C418yescomplemented
296#388—24no—
297#388—24no—
298#388—24no—
299#388—24no—
300#388—24no—
301#388—24no—
302#388—42no—
303#388—42no—
304#388—42no—
305#388C2×C418yescomplemented
306#387—24no—
307#387—24no—
308#387—24no—
309#387—24no—
310#387—42no—
311#386—24no—
312#386—24no—
313#386—24no—
314#386—24no—
315#386—42no—
316#386C2×C418yes—
317#386C2×C418yescomplemented
318#386D418yes—
319#385—24no—
320#385—24no—
321#385—24no—
322#385—24no—
323#385—42no—
324#385C2×C418yescomplemented
325#381—24no—
326#381—42no—
327#380—24no—
328#380—24no—
329#380—24no—
330#380—42no—
331#380—42no—
332#380C2×C418yescomplemented
333C4×C22⋊C4—42no—
334C4×C22⋊C4—42no—
335C4×C22⋊C4—42no—
336C4×C22⋊C4—42no—
337C2×#95C2×C418yescomplemented
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
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
416C25C2411yescharacteristic
417C25C2411yescharacteristic
418C25C2411yescharacteristic
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4—22no—
423C22×D4—41no—
424C22×D4—41no—
425C22×D4—41no—
426C22×D4—41no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4—41no—
430C22×D4—41no—
431C22×D4—41no—
432C22×D4—41no—
433C22×D4—41no—
434C22×D4—41no—
435C22×D4C22×C414yes—
436C22×D4C22×C414yes—
437C22×D4C22×C414yes—
438C22×D4C2×D414yes—
439C22×D4#4114yes—
440C23×C4—22no—
441C23×C4—22no—
442C23×C4—22no—
443C23×C4—22no—
444C23×C4—22no—
445C23×C4—22no—
446C23×C4—22no—
447C23×C4—22no—
448C23×C4—22no—
449C23×C4—22no—
450C23×C4—22no—
451C23×C4—22no—
452C23×C4—22no—
453C23×C4—22no—
454C23×C4—41no—
455C23×C4—41no—
456C23×C4—41no—
457C23×C4—41no—
458C23×C4—41no—
459C23×C4—41no—
460C23×C4—41no—
461C23×C4—41no—
462C23×C4—41no—
463C23×C4—41no—
464C23×C4—41no—
465C23×C4—41no—
466C23×C4—41no—
467C23×C4—41no—
468C23×C4—41no—
469C23×C4—41no—
470C23×C4—41no—
471C23×C4—41no—
472C23×C4—41no—
473C23×C4—41no—
474C23×C4—41no—
475C23×C4—41no—
476C23×C4—41no—
477C23×C4—41no—
478C23×C4—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4C22×C414yes—
485C23×C4C22×C414yes—
486C23×C4C22×C414yes—
487C23×C4C22×C414yes—
488C23×C4C2×D414yes—
489C23×C4C2411yescharacteristic
490C23×C4C2411yescharacteristic
491C23×C4C2411yescharacteristic
492C23×C4C2411yescharacteristic
493C23×C4C2411yescharacteristic
494C23×C4C2411yescharacteristic
495C23×C4C2411yescharacteristic
496C23×C4C2411yescharacteristic
497C23×C4C2411yescharacteristic
498C23×C4C2411yescharacteristic
499C23×C4C2411yescharacteristic
500C23×C4C2411yescharacteristic
501C23×C4C2411yescharacteristic
502C23×C4C2411yescharacteristic
503C23×C4C2411yescharacteristic
504C23×C4C2411yescharacteristic
505C23×C4C2411yescharacteristic
506C23×C4C2411yescharacteristic
507C23×C4C2411yescharacteristic
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517#123—232no—
518#123—416no—
519#121—232no—
520C4×D4—416no—
521C2×C4⋊C4—22no—
522C2×C4⋊C4—22no—
523C2×C4⋊C4—22no—
524C2×C4⋊C4—22no—
525C2×C4⋊C4—22no—
526C2×C4⋊C4—22no—
527C2×C4⋊C4—22no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—22no—
530C2×C4⋊C4—22no—
531C2×C4⋊C4—22no—
532C2×C4⋊C4—22no—
533C2×C4⋊C4—22no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—22no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—22no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
544C2×C4⋊C4—41no—
545C2×C4⋊C4—41no—
546C2×C4⋊C4—41no—
547C2×C4⋊C4—41no—
548C2×C4⋊C4—41no—
549C2×C4⋊C4—41no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4—41no—
552C2×C4⋊C4—41no—
553C2×C4⋊C4—41no—
554C2×C4⋊C4—41no—
555C2×C4⋊C4—41no—
556C2×C4⋊C4—41no—
557C2×C4⋊C4—41no—
558C2×C4⋊C4—41no—
559C2×C4⋊C4—41no—
560C2×C4⋊C4—41no—
561C2×C4⋊C4—41no—
562C2×C4⋊C4—41no—
563C2×C4⋊C4—41no—
564C2×C4⋊C4—41no—
565C2×C4⋊C4—41no—
566C2×C4⋊C4—41no—
567C2×C4⋊C4—41no—
568C2×C4⋊C4—41no—
569C2×C4⋊C4—41no—
570C2×C4⋊C4—41no—
571C2×C4⋊C4—41no—
572C2×C4⋊C4—41no—
573C2×C4⋊C4—41no—
574C2×C4⋊C4—41no—
575C2×C4⋊C4—41no—
576C2×C4⋊C4—41no—
577C2×C4⋊C4—41no—
578C2×C4⋊C4—41no—
579C2×C4⋊C4—41no—
580C2×C4⋊C4—41no—
581C2×C4⋊C4—41no—
582C2×C4⋊C4C22×C414yes—
583C2×C4⋊C4C22×C414yes—
584C2×C4⋊C4C22×C414yes—
585C2×C4⋊C4C22×C414yes—
586C2×C4⋊C4C22×C414yes—
587C2×C4⋊C4C22×C414yes—
588C2×C4⋊C4C22×C414yes—
589C2×C4⋊C4C22×C414yes—
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—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—22no—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—22no—
618C2×C22⋊C4—22no—
619C2×C22⋊C4—22no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—22no—
622C2×C22⋊C4—22no—
623C2×C22⋊C4—22no—
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—41no—
648C2×C22⋊C4—41no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—41no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4C22×C414yes—
673C2×C22⋊C4C22×C414yes—
674C2×C22⋊C4C22×C414yes—
675C2×C22⋊C4C22×C414yes—
676C2×C22⋊C4C22×C414yes—
677C2×C22⋊C4C22×C414yes—
678C2×C22⋊C4C22×C414yes—
679C2×C22⋊C4C22×C414yes—
680C2×C22⋊C4C22×C414yes—
681C2×C22⋊C4C22×C414yes—
682C2×C22⋊C4C22×C414yes—
683C2×C22⋊C4C2×D414yes—
684C2×C22⋊C4C2×D414yes—
685C2×C22⋊C4C2×D414yes—
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—41no—
700C2×C42—41no—
701C2×C42—41no—
702C2×C42—41no—
703C2×C42—41no—
704C2×C42—41no—
705C2×C42—41no—
706C2×C42—41no—
707C2×C42—416no—
708C2×C42—41no—
709C2×C42—41no—
710C2×C42—41no—
711C2×C42—41no—
712C2×C42—41no—
713C2×C42—41no—
714C2×C42—41no—
715C2×C42—41no—
716C2×C42—41no—
717C2×C42—41no—
718C2×C42—41no—
719C2×C42—41no—
720C2×C42—41no—
721C2×C42—41no—
722C2×C42C22×C414yes—
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—41no—
756#95—41no—
757#95—41no—
758#95—41no—
759#95—41no—
760#95—41no—
761#95—41no—
762#95—41no—
763#95—41no—
764#95—41no—
765#95—41no—
766#95—41no—
767#95—41no—
768#95—41no—
769#95—41no—
770#95—41no—
771#95—41no—
772#95—41no—
773#95—41no—
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#95C22×C414yes—
792#95C22×C414yes—
793#95C22×C414yes—
794#95C22×C414yes—
795#95C22×C414yes—
796#95C22×C414yes—
797#95C22×C414yes—
798#95C22×C414yes—
799#95C2×D414yes—
800#95C2×D414yes—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—21no—
806C24—21no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—21no—
812C24—21no—
813C24—21no—
814C24—21no—
815C24—21no—
816C24—21no—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24C23×C412yes—
840C24C23×C412yes—
841C24C23×C412yes—
842C24C22×D412yes—
843C24C22×D412yes—
844C24C2×#4112yes—
845C24C2×#4112yes—
846C24C2511yescharacteristic
847C2×D4—28no—
848C2×D4—28no—
849C2×D4—44no—
850C2×D4—44no—
851C2×D4—44no—
852C2×D4—44no—
853C2×D4—44no—
854C2×D4—44no—
855C2×D4—44no—
856C2×D4—44no—
857C2×D4—44no—
858C2×D4—44no—
859C2×D4—82no—
860C2×D4—82no—
861C2×D4—82no—
862C2×D4—82no—
863C2×D4—82no—
864C2×D4—82no—
865C2×D4—82no—
866C2×D4—82no—
867C2×D4C4×D4116yes—
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—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—28no—
971C22×C4—28no—
972C22×C4—28no—
973C22×C4—28no—
974C22×C4—28no—
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—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
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—82no—
1072C22×C4—82no—
1073C22×C4—82no—
1074C22×C4—82no—
1075C22×C4—82no—
1076C22×C4—82no—
1077C22×C4—82no—
1078C22×C4—82no—
1079C22×C4—82no—
1080C22×C4—82no—
1081C22×C4—82no—
1082C22×C4—82no—
1083C22×C4—82no—
1084C22×C4—82no—
1085C22×C4—82no—
1086C22×C4—82no—
1087C22×C4—82no—
1088C22×C4—82no—
1089C22×C4C23×C412yes—
1090C22×C4C23×C412yes—
1091C22×C4C23×C412yes—
1092C22×C4C23×C412yes—
1093C22×C4C23×C412yes—
1094C22×C4C23×C412yes—
1095C22×C4C23×C412yes—
1096C22×C4C23×C412yes—
1097C22×C4C23×C412yes—
1098C22×C4C23×C412yes—
1099C22×C4C23×C412yes—
1100C22×C4C23×C412yes—
1101C22×C4C22×D412yes—
1102C22×C4C22×D412yes—
1103C22×C4C22×D412yes—
1104C22×C4C22×D412yes—
1105C22×C4C22×D412yes—
1106C22×C4C2×#4112yes—
1107C22×C4H(5,𝔽2)12yes—
1108C22×C4H(5,𝔽2)12yes—
1109C22×C4H(5,𝔽2)12yes—
1110C22×C4H(5,𝔽2)12yes—
1111C22×C42−1+412yes—
1112C22×C42−1+412yes—
1113C4⋊C4—28no—
1114C4⋊C4—28no—
1115C4⋊C4—28no—
1116C4⋊C4—28no—
1117C4⋊C4—28no—
1118C4⋊C4—44no—
1119C4⋊C4—44no—
1120C4⋊C4—44no—
1121C4⋊C4—82no—
1122C4⋊C4—82no—
1123C4⋊C4—82no—
1124C4⋊C4—82no—
1125C4⋊C4—82no—
1126C4⋊C4—82no—
1127C4⋊C4—82no—
1128C4⋊C4—82no—
1129C4⋊C4—82no—
1130C4⋊C4—82no—
1131C4⋊C4—82no—
1132C4⋊C4—82no—
1133C4⋊C4—82no—
1134C4⋊C4—82no—
1135C4⋊C4—82no—
1136C22⋊C4—28no—
1137C22⋊C4—28no—
1138C22⋊C4—28no—
1139C22⋊C4—28no—
1140C22⋊C4—28no—
1141C22⋊C4—28no—
1142C22⋊C4—28no—
1143C22⋊C4—28no—
1144C22⋊C4—44no—
1145C22⋊C4—44no—
1146C22⋊C4—44no—
1147C22⋊C4—44no—
1148C22⋊C4—44no—
1149C22⋊C4—44no—
1150C22⋊C4—44no—
1151C22⋊C4—44no—
1152C22⋊C4—44no—
1153C22⋊C4—44no—
1154C22⋊C4—82no—
1155C22⋊C4—82no—
1156C22⋊C4—82no—
1157C22⋊C4—82no—
1158C22⋊C4—82no—
1159C22⋊C4—82no—
1160C22⋊C4—82no—
1161C22⋊C4—82no—
1162C22⋊C4—82no—
1163C22⋊C4—82no—
1164C22⋊C4—82no—
1165C22⋊C4—82no—
1166C22⋊C4—82no—
1167C22⋊C4—82no—
1168C42—44no—
1169C42—44no—
1170C42—44no—
1171C42—44no—
1172C42—44no—
1173C42—82no—
1174C42—82no—
1175C42—82no—
1176C42—82no—
1177C42—82no—
1178C42—82no—
1179C42—82no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
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—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23C2×C4×D414yes—
1284C23C2×C4×D414yes—
1285C23C24×C411yescharacteristic
1286C23C23×D411yescharacteristic
1287C23C22×#4111yescharacteristic
1288C23C2×H(5,𝔽2)11yescharacteristic
1289C23C2×H(5,𝔽2)11yescharacteristic
1290C23C2×H(5,𝔽2)11yescharacteristic
1291C23C2×H(5,𝔽2)11yescharacteristic
1292C23C2×2−1+411yescharacteristic
1293C23C2×2−1+411yescharacteristic
1294C23#58511yescharacteristic
1295C23#58511yescharacteristic
1296C23#58511yescharacteristic
1297C23#58511yescharacteristic
1298C23#58511yescharacteristic
1299C23#58511yescharacteristic
1300D4—416no—
1301D4—88no—
1302D4—88no—
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—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—416no—
1367C2×C4—416no—
1368C2×C4—416no—
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—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4—88no—
1503C2×C4C2×C4×D414yes—
1504C2×C4#51814yes—
1505C2×C4#52014yes—
1506C22—24no—
1507C22—24no—
1508C22—24no—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22C22×C4×D411yescharacteristic
1552C22C2×#51811yescharacteristic
1553C22C2×#52011yescharacteristic
1554C22#342811yescharacteristic
1555C22#342811yescharacteristic
1556C22C4×H(5,𝔽2)11yescharacteristic
1557C22C4×2−1+411yescharacteristic
1558C22#349611yescharacteristic
1559C22#349611yescharacteristic
1560C22#349611yescharacteristic
1561C22#349611yescharacteristic
1562C22#349911yescharacteristic
1563C22#350011yescharacteristic
1564C22#350511yescharacteristic
1565C22#350511yescharacteristic
1566C22#351311yescharacteristic
1567C22#351511yescharacteristic
1568C22#352011yescharacteristic
1569C22#352111yescharacteristic
1570C22#352911yescharacteristic
1571C22#352911yescharacteristic
1572C22#353111yescharacteristic
1573C22#353111yescharacteristic
1574C22#353211yescharacteristic
1575C22#353411yescharacteristic
1576C22#353511yescharacteristic
1577C22#353511yescharacteristic
1578C22#353611yescharacteristic
1579C22#353911yescharacteristic
1580C22#353911yescharacteristic
1581C22#354111yescharacteristic
1582C22#355411yescharacteristic
1583C22#356211yescharacteristic
1584C22#356511yescharacteristic
1585C22#356611yescharacteristic
1586C4—24no—
1587C4—24no—
1588C4—24no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—81no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4—81no—
1609C4—81no—
1610C4—81no—
1611C4—81no—
1612C4—81no—
1613C4—81no—
1614C2—44no—
1615C2—44no—
1616C2—82no—
1617C2#3420511yescharacteristic
1618C2#3430811yescharacteristic
1619C2#3430911yescharacteristic
1620C2#3435011yescharacteristic
1621C2#3444311yescharacteristic
1622C2#3445611yescharacteristic
1623C2#3447311yescharacteristic
1624C2#4547611yescharacteristic
1625C2#4548011yescharacteristic
1626C2#4561411yescharacteristic
1627C2#4562011yescharacteristic
1628C2#4578411yescharacteristic
1629C2#4579011yescharacteristic
1630C2#4588911yescharacteristic
1631C2#4591311yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2376C2semidirect
4. #14697C2semidirect
5. #14696C2semidirect
6. #14627C2semidirect
7. #14622C2semidirect
8. #14576C2semidirect
9. #14571C2semidirect
10. #14562C2semidirect
11. #14557C2semidirect
12. #14549C2semidirect
13. #14548C2semidirect
14. #14505C2semidirect
15. #14384C2semidirect
16. #14382C2semidirect
18. #14360C2semidirect
19. #14359C2semidirect
20. #14158C2semidirect
21. #14156C2semidirect
22. #14116C2semidirect
23. #14108C2semidirect
24. #14092C2semidirect
25. #14068C2semidirect
26. #14012C2semidirect
27. #13988C2semidirect
28. #13920C2semidirect
29. #13908C2semidirect
30. #13874C2semidirect
31. C4×#386C2semidirect
37. #2425C4semidirect
204. C2×#123C2×C4semidirect
205. C2×#123C2×C4semidirect
211. C2×C4×D4C2×C4semidirect
282. #398C2×C4semidirect
283. #397C2×C4semidirect
284. #396C2×C4semidirect
295. #389C2×C4semidirect
305. #388C2×C4semidirect
317. #386C2×C4semidirect
324. #385C2×C4semidirect
332. #380C2×C4semidirect
337. C2×#95C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#24252
C2×#23772
C2×#23762
#146972
#146962
#146272
#146222
#145762
#145712
#145622
#145572
#145492
#145482
#145052
#143842
#143822
#143632
#143602
#143592
#141582
#141562
#141162
#141082
#140922
#140682
#140122
#139882
#139202
#139082
#138742
C4×#3862