Finite Group Databasebeta

← #2076689

Subgroups — #2076689

Order 512.

3118 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2724C211yesmaximal, characteristic, complemented
2C2×#2483C211yesmaximal, characteristic, complemented
3C2×#2411C211yesmaximal, characteristic
4C2×#2418C211yesmaximal, characteristic
5#17118C211yesmaximal, characteristic, complemented
6#16657C211yesmaximal, characteristic, complemented
7#16527C211yesmaximal, characteristic, complemented
8#16469C211yesmaximal, characteristic, complemented
9#16391C211yesmaximal, characteristic, complemented
10#16309C211yesmaximal, characteristic, complemented
11#16302C211yesmaximal, characteristic, complemented
12#15982C211yesmaximal, characteristic, complemented
13#15929C211yesmaximal, characteristic, complemented
14#15774C211yesmaximal, characteristic, complemented
15#15702C211yesmaximal, characteristic, complemented
16#15539C211yesmaximal, characteristic, complemented
17#15421C211yesmaximal, characteristic, complemented
18#15359C211yesmaximal, characteristic, complemented
19#15351C211yesmaximal, characteristic, complemented
20#15344C211yesmaximal, characteristic, complemented
21#15300C211yesmaximal, characteristic, complemented
22#15285C211yesmaximal, characteristic, complemented
23#15081C211yesmaximal, characteristic, complemented
24#14907C211yesmaximal, characteristic, complemented
25#14801C211yesmaximal, characteristic, complemented
26#14727C211yesmaximal, characteristic, complemented
27#14382C211yesmaximal, characteristic, complemented
28#14358C211yesmaximal, characteristic
29#14262C211yesmaximal, characteristic, complemented
30#14063C211yesmaximal, characteristic, complemented
31#14018C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×#117C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39#2724—28no—
40#2483—28no—
41#2418—28no—
42#2411—28no—
43C2×#399C2211yescharacteristic
44C2×#398C2211yescharacteristic, complemented
45C2×#398C2211yescharacteristic, complemented
46C2×#398C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic
48C2×#397C2211yescharacteristic
49C2×#397C2211yescharacteristic
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic
52C2×#397C2211yescharacteristic
53C2×#397C2211yescharacteristic
54C2×#397C2211yescharacteristic
55C2×#397C2211yescharacteristic, complemented
56C2×#397C2211yescharacteristic, complemented
57C2×#396C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#390C2211yescharacteristic
64C2×#390C2211yescharacteristic
65C2×#390C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#389C2211yescharacteristic, complemented
68C2×#389C2211yescharacteristic, complemented
69C2×#389C2211yescharacteristic, complemented
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#387C2211yescharacteristic, complemented
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#385C2211yescharacteristic
81C2×#385C2211yescharacteristic
82C2×#385C2211yescharacteristic
83C2×#385C2211yescharacteristic
84C2×#385C2211yescharacteristic
85C2×#385C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic, complemented
90C2×#385C2211yescharacteristic, complemented
91C2×#381C2211yescharacteristic
92C2×#381C2211yescharacteristic
93C2×#381C2211yescharacteristic
94C2×#381C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#379C2211yescharacteristic
97C2×#379C2211yescharacteristic
98C2×#379C2211yescharacteristic
99C2×#379C2211yescharacteristic
100C2×C4×C4⋊C4C2211yescharacteristic, complemented
101#1445C2211yescharacteristic, complemented
102#1445C2211yescharacteristic, complemented
103#1445C2211yescharacteristic, complemented
104#1445C2211yescharacteristic, complemented
105#1445C2211yescharacteristic, complemented
106#1444C2211yescharacteristic, complemented
107#1444C2211yescharacteristic, complemented
108#1444C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1443C2211yescharacteristic, complemented
112#1442C2211yescharacteristic, complemented
113#1442C2211yescharacteristic, complemented
114#1442C2211yescharacteristic, complemented
115#1442C2211yescharacteristic, complemented
116#1441C2211yescharacteristic, complemented
117#1441C2211yescharacteristic, complemented
118#1441C2211yescharacteristic, complemented
119#1441C2211yescharacteristic, complemented
120#1441C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic
138#1440C2211yescharacteristic, complemented
139#1440C2211yescharacteristic, complemented
140#1440C2211yescharacteristic, complemented
141#1440C2211yescharacteristic, complemented
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1439C2211yescharacteristic, complemented
164#1439C2211yescharacteristic, complemented
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177C4⋊#95C2211yescharacteristic, complemented
178C4⋊#95C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C2×#123—24no—
201C2×#123—24no—
202C2×#123—24no—
203C2×#123—24no—
204C2×#123—42no—
205C2×#123—42no—
206C2×#120—42no—
207C2×#120—42no—
208C2×#120D418yes—
209C2×C4×D4—24no—
210C2×C4×D4—42no—
211C2×C4×D4—42no—
212C2×#117—24no—
213C2×#117—42no—
214C2×#117—42no—
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×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C22⋊C4—24no—
241C22×C22⋊C4—24no—
242C22×C22⋊C4—24no—
243C22×C22⋊C4—24no—
244C22×C22⋊C4—42no—
245C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C42C2311yescharacteristic
293C22×C42C2311yescharacteristic
294C22×C42C2311yescharacteristic
295C22×C42C2311yescharacteristic
296C22×C42C2311yescharacteristic
297#399—24no—
298#398—24no—
299#398—24no—
300#398—42no—
301#397—24no—
302#397—24no—
303#397—24no—
304#397—24no—
305#397—24no—
306#397—24no—
307#397—24no—
308#397—24no—
309#397—24no—
310#397—42no—
311#396—24no—
312#396—24no—
313#394—24no—
314#394—24no—
315#394—24no—
316#394—24no—
317#390—24no—
318#390—24no—
319#390—24no—
320#390—24no—
321#389—24no—
322#389—24no—
323#389—42no—
324#388—24no—
325#388—24no—
326#388—24no—
327#388—24no—
328#388—42no—
329#388—42no—
330#387—42no—
331#386—24no—
332#386—24no—
333#386—24no—
334#385—24no—
335#385—24no—
336#385—24no—
337#385—24no—
338#385—24no—
339#385—24no—
340#385—24no—
341#385—24no—
342#385—24no—
343#385—42no—
344#385D418yescomplemented
345#381—24no—
346#381—24no—
347#381—24no—
348#381—24no—
349#380—24no—
350#379—24no—
351#379—24no—
352#379—24no—
353#379—24no—
354C4×C4⋊C4—42no—
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
425C25—22no—
426C25—22no—
427C25—22no—
428C25—22no—
429C25—41no—
430C25—41no—
431C25—41no—
432C25—41no—
433C25—41no—
434C25—41no—
435C25—41no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25C2×D414yes—
440C25C2411yescharacteristic
441C25C2411yescharacteristic
442C25C2411yescharacteristic
443C25C2411yescharacteristic
444C22×D4—22no—
445C22×D4—22no—
446C22×D4—22no—
447C22×D4—22no—
448C22×D4—22no—
449C22×D4—22no—
450C22×D4—41no—
451C22×D4—41no—
452C22×D4—41no—
453C22×D4—41no—
454C22×D4—41no—
455C22×D4—41no—
456C22×D4—41no—
457C22×D4—41no—
458C22×D4—41no—
459C22×D4—41no—
460C22×D4—41no—
461C22×D4—41no—
462C22×D4C2×D414yes—
463C22×D4C2×D414yes—
464C22×D4C2×D414yes—
465C23×C4—22no—
466C23×C4—22no—
467C23×C4—22no—
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—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4C2×D414yes—
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
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527#123—416no—
528#123—416no—
529#120—416no—
530C4×D4—416no—
531#117—416no—
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—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
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—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⋊C4—41no—
583C2×C4⋊C4—41no—
584C2×C4⋊C4—41no—
585C2×C4⋊C4—41no—
586C2×C4⋊C4—41no—
587C2×C4⋊C4—41no—
588C2×C4⋊C4—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
592C2×C4⋊C4—41no—
593C2×C4⋊C4—41no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4C2×D414yes—
606C2×C4⋊C4C2×D414yes—
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—22no—
625C2×C22⋊C4—22no—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
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—416no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4—41no—
679C2×C22⋊C4—41no—
680C2×C22⋊C4—41no—
681C2×C22⋊C4—41no—
682C2×C22⋊C4—41no—
683C2×C22⋊C4—41no—
684C2×C22⋊C4—41no—
685C2×C22⋊C4—41no—
686C2×C22⋊C4—41no—
687C2×C22⋊C4—41no—
688C2×C22⋊C4—41no—
689C2×C22⋊C4—41no—
690C2×C22⋊C4—41no—
691C2×C22⋊C4—41no—
692C2×C22⋊C4—41no—
693C2×C22⋊C4—41no—
694C2×C22⋊C4—41no—
695C2×C22⋊C4—41no—
696C2×C22⋊C4—41no—
697C2×C22⋊C4—41no—
698C2×C22⋊C4—41no—
699C2×C22⋊C4—41no—
700C2×C22⋊C4—41no—
701C2×C22⋊C4—41no—
702C2×C22⋊C4—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—41no—
706C2×C22⋊C4—41no—
707C2×C22⋊C4—41no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—416no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4—41no—
715C2×C22⋊C4—41no—
716C2×C22⋊C4—41no—
717C2×C22⋊C4—41no—
718C2×C22⋊C4—41no—
719C2×C22⋊C4—41no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4—41no—
725C2×C22⋊C4—41no—
726C2×C22⋊C4—41no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4C2×D414yes—
742C2×C22⋊C4C2×D414yes—
743C2×C22⋊C4C2×D414yes—
744C2×C22⋊C4C2×D414yes—
745C2×C22⋊C4C2×D414yes—
746C2×C22⋊C4#4114yes—
747C2×C42—22no—
748C2×C42—22no—
749C2×C42—22no—
750C2×C42—22no—
751C2×C42—22no—
752C2×C42—22no—
753C2×C42—22no—
754C2×C42—22no—
755C2×C42—22no—
756C2×C42—22no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42—41no—
760C2×C42—41no—
761C2×C42—41no—
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—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—22no—
779#95—22no—
780#95—22no—
781#95—22no—
782#95—22no—
783#95—22no—
784#95—22no—
785#95—22no—
786#95—22no—
787#95—22no—
788#95—22no—
789#95—22no—
790#95—22no—
791#95—22no—
792#95—22no—
793#95—22no—
794#95—41no—
795#95—41no—
796#95—41no—
797#95—41no—
798#95—41no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805#95—41no—
806#95—41no—
807#95—41no—
808#95—41no—
809#95—41no—
810#95—41no—
811#95—41no—
812#95—41no—
813#95—41no—
814#95—41no—
815#95—41no—
816#95—41no—
817#95—41no—
818#95—41no—
819#95—41no—
820#95—41no—
821#95—41no—
822#95—41no—
823#95—41no—
824#95—41no—
825#95—41no—
826#95—41no—
827#95—41no—
828#95—41no—
829#95—41no—
830#95C2×D414yes—
831#95C2×D414yes—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—28no—
885C24—28no—
886C24—44no—
887C24—44no—
888C24—44no—
889C24—44no—
890C24—44no—
891C24—44no—
892C24—44no—
893C24—44no—
894C24—44no—
895C24—44no—
896C24—44no—
897C24—44no—
898C24—44no—
899C24—82no—
900C24—82no—
901C24—82no—
902C24—82no—
903C24—82no—
904C24—82no—
905C24—82no—
906C24—82no—
907C24—82no—
908C24—82no—
909C24—82no—
910C24—82no—
911C24—82no—
912C24—82no—
913C24—82no—
914C24—82no—
915C24—82no—
916C24—82no—
917C24—82no—
918C24—82no—
919C24C22×D412yes—
920C24C22×D412yes—
921C24C22×D412yes—
922C24C22×D412yes—
923C24C22×D412yes—
924C24C2×#4112yes—
925C24H(5,𝔽2)12yes—
926C242−1+412yes—
927C24C2511yescharacteristic
928C2×D4—28no—
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C2×D4—82no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—28no—
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—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—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—82no—
1144C22×C4—82no—
1145C22×C4—82no—
1146C22×C4—82no—
1147C22×C4—82no—
1148C22×C4—82no—
1149C22×C4—82no—
1150C22×C4—82no—
1151C22×C4—82no—
1152C22×C4—82no—
1153C22×C4—82no—
1154C22×C4—82no—
1155C22×C4—82no—
1156C22×C4—82no—
1157C22×C4—82no—
1158C22×C4—82no—
1159C22×C4—82no—
1160C22×C4C22×D412yes—
1161C22×C4C22×D412yes—
1162C22×C4C22×D412yes—
1163C22×C4C22×D412yes—
1164C22×C4C22×D412yes—
1165C22×C4C22×D412yes—
1166C22×C4C22×D412yes—
1167C22×C4C22×D412yes—
1168C22×C4C22×D412yes—
1169C22×C4C2×#4112yes—
1170C22×C4C2×#4112yes—
1171C22×C4H(5,𝔽2)12yes—
1172C22×C4H(5,𝔽2)12yes—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—82no—
1187C4⋊C4—82no—
1188C4⋊C4—82no—
1189C4⋊C4—82no—
1190C4⋊C4—82no—
1191C4⋊C4—82no—
1192C4⋊C4—82no—
1193C4⋊C4—82no—
1194C4⋊C4—82no—
1195C4⋊C4—82no—
1196C4⋊C4—82no—
1197C4⋊C4—82no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—82no—
1231C22⋊C4—82no—
1232C22⋊C4—82no—
1233C22⋊C4—82no—
1234C22⋊C4—82no—
1235C22⋊C4—82no—
1236C22⋊C4—82no—
1237C22⋊C4—82no—
1238C22⋊C4—82no—
1239C22⋊C4—82no—
1240C22⋊C4—82no—
1241C22⋊C4—82no—
1242C22⋊C4—82no—
1243C22⋊C4—82no—
1244C42—44no—
1245C42—44no—
1246C42—44no—
1247C42—44no—
1248C42—82no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—416no—
1300C23—416no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—88no—
1390C23—88no—
1391C23—88no—
1392C23—88no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—88no—
1402C23D4214yes—
1403C23#54714yes—
1404C23C23×D411yescharacteristic
1405C23C23×D411yescharacteristic
1406C23C22×#4111yescharacteristic
1407C23C2×H(5,𝔽2)11yescharacteristic
1408C23C2×H(5,𝔽2)11yescharacteristic
1409C23C2×H(5,𝔽2)11yescharacteristic
1410C23C2×2−1+411yescharacteristic
1411C23#58511yescharacteristic
1412C23#58511yescharacteristic
1413C23#58511yescharacteristic
1414C23#58511yescharacteristic
1415C23#58511yescharacteristic
1416C23#58511yescharacteristic
1417C23#58511yescharacteristic
1418C23#58511yescharacteristic
1419D4—416no—
1420D4—88no—
1421D4—88no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—416no—
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—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4#53414yes—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—832no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22C2×#53411yescharacteristic
1678C22#344911yescharacteristic
1679C22C2×D4211yescharacteristic
1680C22C2×#54711yescharacteristic
1681C22D4×#4111yescharacteristic
1682C22#348511yescharacteristic
1683C22#348511yescharacteristic
1684C22#348511yescharacteristic
1685C22#348511yescharacteristic
1686C22#348711yescharacteristic
1687C22#348911yescharacteristic
1688C22#349111yescharacteristic
1689C22#349611yescharacteristic
1690C22#349611yescharacteristic
1691C22#351011yescharacteristic
1692C22#351311yescharacteristic
1693C22#351311yescharacteristic
1694C22#351311yescharacteristic
1695C22#353311yescharacteristic
1696C22#353311yescharacteristic
1697C22#353511yescharacteristic
1698C22#353511yescharacteristic
1699C22#353511yescharacteristic
1700C22#354011yescharacteristic
1701C22#354211yescharacteristic
1702C22#354211yescharacteristic
1703C22#355111yescharacteristic
1704C22#356211yescharacteristic
1705C22#356211yescharacteristic
1706C22#356411yescharacteristic
1707C22#356411yescharacteristic
1708C22#356611yescharacteristic
1709C22#356611yescharacteristic
1710C22#356611yescharacteristic
1711C22#356811yescharacteristic
1712C4—24no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—81no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C2—44no—
1740C2—44no—
1741C2—82no—
1742C2—82no—
1743C2#3765511yescharacteristic
1744C2#3803811yescharacteristic
1745C2#3933811yescharacteristic
1746C2#3994111yescharacteristic
1747C2#4053211yescharacteristic
1748C2#4267311yescharacteristic
1749C2#4304011yescharacteristic
1750C2#4351011yescharacteristic
1751C2#4735111yescharacteristic
1752C2#4877511yescharacteristic
1753C2#5127411yescharacteristic
1754C2#5157911yescharacteristic
1755C2#5597411yescharacteristic
1756C2#5664011yescharacteristic
1757C2#5899511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2724C2semidirect
2. C2×#2483C2semidirect
5. #17118C2semidirect
6. #16657C2semidirect
7. #16527C2semidirect
8. #16469C2semidirect
9. #16391C2semidirect
10. #16309C2semidirect
11. #16302C2semidirect
12. #15982C2semidirect
13. #15929C2semidirect
14. #15774C2semidirect
15. #15702C2semidirect
16. #15539C2semidirect
17. #15421C2semidirect
18. #15359C2semidirect
19. #15351C2semidirect
20. #15344C2semidirect
21. #15300C2semidirect
22. #15285C2semidirect
23. #15081C2semidirect
24. #14907C2semidirect
25. #14801C2semidirect
26. #14727C2semidirect
27. #14382C2semidirect
29. #14262C2semidirect
30. #14063C2semidirect
31. #14018C2semidirect
44. C2×#398C22semidirect
45. C2×#398C22semidirect
46. C2×#398C22semidirect
55. C2×#397C22semidirect
56. C2×#397C22semidirect
67. C2×#389C22semidirect
68. C2×#389C22semidirect
69. C2×#389C22semidirect
76. C2×#387C22semidirect
89. C2×#385C22semidirect
90. C2×#385C22semidirect
100. C2×C4×C4⋊C4C22semidirect
101. #1445C22semidirect
102. #1445C22semidirect
103. #1445C22semidirect
104. #1445C22semidirect
105. #1445C22semidirect
106. #1444C22semidirect
107. #1444C22semidirect
108. #1444C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1443C22semidirect
112. #1442C22semidirect
113. #1442C22semidirect
114. #1442C22semidirect
115. #1442C22semidirect
116. #1441C22semidirect
117. #1441C22semidirect
118. #1441C22semidirect
119. #1441C22semidirect
120. #1441C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
138. #1440C22semidirect
139. #1440C22semidirect
140. #1440C22semidirect
141. #1440C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
163. #1439C22semidirect
164. #1439C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. C4⋊#95C22semidirect
178. C4⋊#95C22semidirect
179. C4⋊#95C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect
183. #1434C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
344. #385D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27242
C2×#24832
C2×#24112
C2×#24182
#171182
#166572
#165272
#164692
#163912
#163092
#163022
#159822
#159292
#157742
#157022
#155392
#154212
#153592
#153512
#153442
#153002
#152852
#150812
#149072
#148012
#147272
#143822
#143582
#142622
#140632
#140182