Finite Group Databasebeta

← #4036849

Subgroups — #4036849

Order 512.

4400 conjugacy classes of subgroups.

The subgroup lattice has 2197 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2705C211yesmaximal, characteristic, complemented
2C2×#2685C211yesmaximal, characteristic, complemented
3C2×#2678C211yesmaximal, characteristic, complemented
4C2×#2408C211yesmaximal, characteristic, complemented
5#17091C211yesmaximal, characteristic, complemented
6#17087C211yesmaximal, characteristic, complemented
7#17086C211yesmaximal, characteristic, complemented
8#15913C211yesmaximal, characteristic, complemented
9#15696C211yesmaximal, characteristic, complemented
10#15619C211yesmaximal, characteristic, complemented
11#15493C211yesmaximal, characteristic, complemented
12#15428C211yesmaximal, characteristic, complemented
13#15393C211yesmaximal, characteristic, complemented
14#15316C211yesmaximal, characteristic, complemented
15#15315C211yesmaximal, characteristic, complemented
16#15309C211yesmaximal, characteristic, complemented
17#15297C211yesmaximal, characteristic, complemented
18#15297C211yesmaximal, characteristic, complemented
19#15283C211yesmaximal, characteristic, complemented
20#15257C211yesmaximal, characteristic, complemented
21#14996C211yesmaximal, characteristic, complemented
22#14762C211yesmaximal, characteristic, complemented
23#14760C211yesmaximal, characteristic, complemented
24#14754C211yesmaximal, characteristic, complemented
25#14724C211yesmaximal, characteristic, complemented
26#14715C211yesmaximal, characteristic, complemented
27#14566C211yesmaximal, characteristic, complemented
28#14358C211yesmaximal, characteristic, complemented
29#14358C211yesmaximal, characteristic, complemented
30#14185C211yesmaximal, characteristic, complemented
31#13970C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#126C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2705—28no—
44#2685—28no—
45#2678—28no—
46#2408—28no—
47C2×#399C2211yescharacteristic, complemented
48C2×#399C2211yescharacteristic, complemented
49C2×#397C2211yescharacteristic
50C2×#397C2211yescharacteristic, complemented
51C2×#397C2211yescharacteristic, complemented
52C2×#396C2211yescharacteristic
53C2×#396C2211yescharacteristic, complemented
54C2×#396C2211yescharacteristic, complemented
55C2×#396C2211yescharacteristic, complemented
56C2×#396C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic, complemented
65C2×#394C2211yescharacteristic, complemented
66C2×#394C2211yescharacteristic, complemented
67C2×#394C2211yescharacteristic, complemented
68C2×#394C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic, complemented
70C2×#392C2211yescharacteristic
71C2×#392C2211yescharacteristic
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic, complemented
77C2×#392C2211yescharacteristic, complemented
78C2×#392C2211yescharacteristic, complemented
79C2×#392C2211yescharacteristic, complemented
80C2×#390C2211yescharacteristic
81C2×#390C2211yescharacteristic
82C2×#390C2211yescharacteristic
83C2×#390C2211yescharacteristic
84C2×#390C2211yescharacteristic, complemented
85C2×#390C2211yescharacteristic, complemented
86C2×#390C2211yescharacteristic, complemented
87C2×#390C2211yescharacteristic, complemented
88C2×#390C2211yescharacteristic, complemented
89C2×#389C2211yescharacteristic, complemented
90C2×#389C2211yescharacteristic, complemented
91C2×#388C2211yescharacteristic
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic, complemented
94C2×#388C2211yescharacteristic, complemented
95C2×#388C2211yescharacteristic, complemented
96C2×#388C2211yescharacteristic, complemented
97C2×#388C2211yescharacteristic, complemented
98C2×#388C2211yescharacteristic, complemented
99C2×#387C2211yescharacteristic, complemented
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic, complemented
107C2×#380C2211yescharacteristic
108C2×#380C2211yescharacteristic, complemented
109C2×#379C2211yescharacteristic
110C2×#379C2211yescharacteristic
111C2×#379C2211yescharacteristic
112C2×#379C2211yescharacteristic
113C2×#379C2211yescharacteristic
114C2×#379C2211yescharacteristic
115C2×#379C2211yescharacteristic
116C2×#379C2211yescharacteristic
117C2×C4×C22⋊C4C2211yescharacteristic, complemented
118C2×C4×C22⋊C4C2211yescharacteristic, complemented
119#1445C2211yescharacteristic, complemented
120#1444C2211yescharacteristic, complemented
121#1444C2211yescharacteristic, complemented
122#1443C2211yescharacteristic, complemented
123#1443C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1437C2211yescharacteristic, complemented
179#1437C2211yescharacteristic, complemented
180#1437C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185#1436C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187C4⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C26C2311yescharacteristic
193C23×D4—24no—
194C23×D4—42no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4—42no—
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C24×C4C2311yescharacteristic
218C2×#126—24no—
219C2×#126—24no—
220C2×#126—42no—
221C2×#123—24no—
222C2×#123—24no—
223C2×#123—42no—
224C2×#121—24no—
225C2×#121—24no—
226C2×#121—24no—
227C2×#121—24no—
228C2×#121—42no—
229C2×#121—42no—
230C2×#121—42no—
231C2×#121—42no—
232C2×#121—42no—
233C2×#120—24no—
234C2×#120—24no—
235C2×#120—24no—
236C2×#120—24no—
237C2×#120—24no—
238C2×#120—24no—
239C2×#120—24no—
240C2×#120—42no—
241C2×#120—42no—
242C2×#120—42no—
243C2×#120—42no—
244C2×#120—42no—
245C2×C4×D4—24no—
246C2×C4×D4—42no—
247C2×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
264C22×C4⋊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×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337#399—24no—
338#399—24no—
339#397—24no—
340#397—42no—
341#397—42no—
342#396—24no—
343#396—24no—
344#396—24no—
345#396—24no—
346#396—42no—
347#394—24no—
348#394—24no—
349#394—24no—
350#394—24no—
351#394—24no—
352#394—24no—
353#394—42no—
354#394—42no—
355#394—42no—
356#394—42no—
357#394—42no—
358#394D418yescomplemented
359#394D418yescomplemented
360#392—24no—
361#392—24no—
362#392—24no—
363#392—24no—
364#392—24no—
365#392—42no—
366#392—42no—
367#392—42no—
368#392—42no—
369#392—42no—
370#390—24no—
371#390—24no—
372#390—24no—
373#390—24no—
374#390—24no—
375#390—24no—
376#390—24no—
377#390—24no—
378#390—42no—
379#389—24no—
380#389—42no—
381#388—24no—
382#388—24no—
383#388—24no—
384#388—24no—
385#388—24no—
386#388—42no—
387#388—42no—
388#388—42no—
389#387—24no—
390#386—24no—
391#386—24no—
392#386—42no—
393#386—42no—
394#386—42no—
395#385—42no—
396#385—42no—
397#380—24no—
398#380—24no—
399#379—24no—
400#379—24no—
401#379—24no—
402#379—24no—
403#379—24no—
404#379—42no—
405#379—42no—
406#379—42no—
407C4×C22⋊C4—42no—
408C4×C22⋊C4—42no—
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
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C25—22no—
456C25—22no—
457C25—22no—
458C25—22no—
459C25—22no—
460C25—22no—
461C25—22no—
462C25—22no—
463C25—22no—
464C25—22no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25—41no—
481C25—41no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25C2411yescharacteristic
486C25C2411yescharacteristic
487C25C2411yescharacteristic
488C25C2411yescharacteristic
489C25C2411yescharacteristic
490C25C2411yescharacteristic
491C25C2411yescharacteristic
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—416no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—416no—
596C22×D4—416no—
597C22×D4—416no—
598C22×D4—416no—
599C22×D4—416no—
600C22×D4—416no—
601C22×D4C2×D414yes—
602C22×D4C2×D414yes—
603C22×D4#4114yes—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649#126—416no—
650#123—416no—
651#121—416no—
652#121—416no—
653#121—416no—
654#120—416no—
655#120—416no—
656#120—416no—
657#120—416no—
658C4×D4—416no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—22no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—22no—
672C2×C4⋊C4—22no—
673C2×C4⋊C4—22no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—22no—
678C2×C4⋊C4—22no—
679C2×C4⋊C4—22no—
680C2×C4⋊C4—22no—
681C2×C4⋊C4—22no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—22no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—41no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4C2×D414yes—
709C2×C4⋊C4C2×D414yescomplemented
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4C2×D414yes—
901C2×C22⋊C4C2×D414yes—
902C2×C22⋊C4C2×D414yes—
903C2×C22⋊C4C2×D414yes—
904C2×C22⋊C4C2×D414yes—
905C2×C22⋊C4C2×D414yes—
906C2×C22⋊C4C2×D414yescomplemented
907C2×C22⋊C4C2×D414yescomplemented
908C2×C42—22no—
909C2×C42—22no—
910C2×C42—22no—
911C2×C42—22no—
912C2×C42—22no—
913C2×C42—22no—
914C2×C42—22no—
915C2×C42—41no—
916C2×C42—41no—
917C2×C42—41no—
918C2×C42—41no—
919C2×C42—41no—
920C2×C42—41no—
921C2×C42—41no—
922C2×C42—41no—
923C2×C42—41no—
924C2×C42—41no—
925C2×C42—41no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—22no—
933#95—22no—
934#95—22no—
935#95—22no—
936#95—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—41no—
948#95—41no—
949#95—41no—
950#95—41no—
951#95—41no—
952#95—41no—
953#95—41no—
954#95—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959#95—41no—
960#95—41no—
961#95—41no—
962#95—41no—
963#95—41no—
964#95—41no—
965#95—41no—
966#95—41no—
967#95—41no—
968#95—41no—
969#95—41no—
970#95C2×D414yes—
971#95C2×D414yescomplemented
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—82no—
1095C24—82no—
1096C24—82no—
1097C24—82no—
1098C24—82no—
1099C24—82no—
1100C24—82no—
1101C24—82no—
1102C24—82no—
1103C24—82no—
1104C24—82no—
1105C24—82no—
1106C24—82no—
1107C24—82no—
1108C24—82no—
1109C24—82no—
1110C24—82no—
1111C24—82no—
1112C24—82no—
1113C24—82no—
1114C24—82no—
1115C24—82no—
1116C24—82no—
1117C24—82no—
1118C24—82no—
1119C24—82no—
1120C24—82no—
1121C24—82no—
1122C24—82no—
1123C24—82no—
1124C24—82no—
1125C24—82no—
1126C24—82no—
1127C24—82no—
1128C24—82no—
1129C24—82no—
1130C24—82no—
1131C24—82no—
1132C24—82no—
1133C24—82no—
1134C24—82no—
1135C24—82no—
1136C24—82no—
1137C24—82no—
1138C24C22×D412yes—
1139C24C22×D412yes—
1140C24C22×D412yes—
1141C24C22×D412yes—
1142C24C2×#4112yes—
1143C24C2×#4112yes—
1144C24H(5,𝔽2)12yes—
1145C24H(5,𝔽2)12yes—
1146C24H(5,𝔽2)12yes—
1147C24C2511yescharacteristic
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—4128no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—28no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—82no—
1422C22×C4—82no—
1423C22×C4—82no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4—82no—
1427C22×C4C22×D412yes—
1428C22×C4C22×D412yes—
1429C22×C4C22×D412yes—
1430C22×C4C22×D412yes—
1431C22×C4C22×D412yes—
1432C22×C4C22×D412yes—
1433C22×C4C22×D412yes—
1434C22×C4C22×D412yes—
1435C22×C4C22×D412yes—
1436C22×C4C22×D412yes—
1437C22×C4C2×#4112yes—
1438C22×C4H(5,𝔽2)12yes—
1439C22×C4H(5,𝔽2)12yes—
1440C22×C4H(5,𝔽2)12yes—
1441C22×C4H(5,𝔽2)12yes—
1442C22×C4H(5,𝔽2)12yes—
1443C4⋊C4—28no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—82no—
1454C4⋊C4—82no—
1455C4⋊C4—82no—
1456C4⋊C4—82no—
1457C4⋊C4—82no—
1458C4⋊C4—82no—
1459C4⋊C4—82no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—82no—
1493C22⋊C4—82no—
1494C22⋊C4—82no—
1495C22⋊C4—82no—
1496C22⋊C4—82no—
1497C22⋊C4—82no—
1498C22⋊C4—82no—
1499C22⋊C4—82no—
1500C22⋊C4—82no—
1501C22⋊C4—82no—
1502C22⋊C4—82no—
1503C22⋊C4—82no—
1504C22⋊C4—82no—
1505C22⋊C4—82no—
1506C22⋊C4—82no—
1507C22⋊C4—82no—
1508C22⋊C4—82no—
1509C22⋊C4—82no—
1510C22⋊C4—82no—
1511C22⋊C4—82no—
1512C22⋊C4—82no—
1513C22⋊C4—82no—
1514C22⋊C4—82no—
1515C22⋊C4—82no—
1516C22⋊C4—82no—
1517C22⋊C4—82no—
1518C22⋊C4—82no—
1519C22⋊C4—82no—
1520C22⋊C4—82no—
1521C22⋊C4—82no—
1522C22⋊C4—82no—
1523C22⋊C4—82no—
1524C22⋊C4—82no—
1525C22⋊C4—82no—
1526C42—44no—
1527C42—44no—
1528C42—82no—
1529C42—82no—
1530C42—82no—
1531C42—82no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—416no—
1609C23—416no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23—88no—
1787C23—88no—
1788C23—88no—
1789C23—88no—
1790C23—88no—
1791C23—88no—
1792C23—88no—
1793C23—88no—
1794C23—88no—
1795C23—88no—
1796C23—88no—
1797C23—88no—
1798C23—88no—
1799C23—88no—
1800C23—88no—
1801C23—88no—
1802C23—88no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23#54614yes—
1807C23C23×D411yescharacteristic
1808C23C23×D411yescharacteristic
1809C23C22×#4111yescharacteristic
1810C23C2×H(5,𝔽2)11yescharacteristic
1811C23C2×H(5,𝔽2)11yescharacteristic
1812C23C2×H(5,𝔽2)11yescharacteristic
1813C23C2×H(5,𝔽2)11yescharacteristic
1814C23C2×H(5,𝔽2)11yescharacteristic
1815C23C2×H(5,𝔽2)11yescharacteristic
1816C23C2×H(5,𝔽2)11yescharacteristic
1817C23C2×H(5,𝔽2)11yescharacteristic
1818C23#58511yescharacteristic
1819C23#58511yescharacteristic
1820C23#58511yescharacteristic
1821C23#58511yescharacteristic
1822D4—416no—
1823D4—416no—
1824D4—416no—
1825D4—416no—
1826D4—416no—
1827D4—88no—
1828D4—88no—
1829D4—88no—
1830D4—88no—
1831D4—88no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836D4—88no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—416no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—88no—
2005C2×C4—88no—
2006C2×C4D4214yes—
2007C2×C4#56014yes—
2008C22—24no—
2009C22—24no—
2010C22—24no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—832no—
2066C22—832no—
2067C22—81no—
2068C22—81no—
2069C22—81no—
2070C22—81no—
2071C22—81no—
2072C22—81no—
2073C22—81no—
2074C22—81no—
2075C22—81no—
2076C22—81no—
2077C22—81no—
2078C22—81no—
2079C22—81no—
2080C22—81no—
2081C22—81no—
2082C22—81no—
2083C22—81no—
2084C22—81no—
2085C22—81no—
2086C22—81no—
2087C22—81no—
2088C22—81no—
2089C22—81no—
2090C22—81no—
2091C22—81no—
2092C22—81no—
2093C22—81no—
2094C22—81no—
2095C22—81no—
2096C22—81no—
2097C22—81no—
2098C22—81no—
2099C22—81no—
2100C22—81no—
2101C22—81no—
2102C22—81no—
2103C22—81no—
2104C22—81no—
2105C22—81no—
2106C22—81no—
2107C22—81no—
2108C22—81no—
2109C22—81no—
2110C22—81no—
2111C22—81no—
2112C22—81no—
2113C22—81no—
2114C22—81no—
2115C22C2×D4211yescharacteristic
2116C22C2×#54611yescharacteristic
2117C22D4×#4111yescharacteristic
2118C22#348411yescharacteristic
2119C22#348411yescharacteristic
2120C22#348411yescharacteristic
2121C22#348811yescharacteristic
2122C22#348811yescharacteristic
2123C22#348811yescharacteristic
2124C22#349011yescharacteristic
2125C22#349611yescharacteristic
2126C22#349611yescharacteristic
2127C22#349811yescharacteristic
2128C22#350011yescharacteristic
2129C22#350511yescharacteristic
2130C22#351311yescharacteristic
2131C22#351411yescharacteristic
2132C22#351911yescharacteristic
2133C22C2×#56011yescharacteristic
2134C22#353211yescharacteristic
2135C22#353211yescharacteristic
2136C22#353211yescharacteristic
2137C22#353311yescharacteristic
2138C22#353411yescharacteristic
2139C22#354011yescharacteristic
2140C22#354211yescharacteristic
2141C22#354211yescharacteristic
2142C22#354211yescharacteristic
2143C22#354311yescharacteristic
2144C22#354611yescharacteristic
2145C22#354611yescharacteristic
2146C22#354611yescharacteristic
2147C22#356011yescharacteristic
2148C22#356011yescharacteristic
2149C22#356211yescharacteristic
2150C4—24no—
2151C4—24no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—81no—
2163C4—81no—
2164C4—81no—
2165C4—81no—
2166C4—81no—
2167C4—81no—
2168C4—81no—
2169C4—81no—
2170C4—81no—
2171C4—81no—
2172C4—81no—
2173C4—81no—
2174C2—44no—
2175C2—82no—
2176C2—82no—
2177C2—82no—
2178C2—82no—
2179C2—82no—
2180C2—82no—
2181C2#4300811yescharacteristic
2182C2#4310911yescharacteristic
2183C2#4391011yescharacteristic
2184C2#4393211yescharacteristic
2185C2#4486811yescharacteristic
2186C2#4492711yescharacteristic
2187C2#4543811yescharacteristic
2188C2#4548311yescharacteristic
2189C2#4564211yescharacteristic
2190C2#4660511yescharacteristic
2191C2#4683611yescharacteristic
2192C2#4771911yescharacteristic
2193C2#5555311yescharacteristic
2194C2#5555911yescharacteristic
2195C2#5912311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
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×#2705C2semidirect
2. C2×#2685C2semidirect
3. C2×#2678C2semidirect
4. C2×#2408C2semidirect
5. #17091C2semidirect
6. #17087C2semidirect
7. #17086C2semidirect
8. #15913C2semidirect
9. #15696C2semidirect
10. #15619C2semidirect
11. #15493C2semidirect
12. #15428C2semidirect
13. #15393C2semidirect
14. #15316C2semidirect
15. #15315C2semidirect
16. #15309C2semidirect
17. #15297C2semidirect
18. #15297C2semidirect
19. #15283C2semidirect
20. #15257C2semidirect
21. #14996C2semidirect
22. #14762C2semidirect
23. #14760C2semidirect
24. #14754C2semidirect
25. #14724C2semidirect
26. #14715C2semidirect
27. #14566C2semidirect
28. #14358C2semidirect
29. #14358C2semidirect
30. #14185C2semidirect
31. #13970C2semidirect
33. C22×#126C22semidirect
34. C22×#123C22semidirect
47. C2×#399C22semidirect
48. C2×#399C22semidirect
50. C2×#397C22semidirect
51. C2×#397C22semidirect
53. C2×#396C22semidirect
54. C2×#396C22semidirect
55. C2×#396C22semidirect
56. C2×#396C22semidirect
64. C2×#394C22semidirect
65. C2×#394C22semidirect
66. C2×#394C22semidirect
67. C2×#394C22semidirect
68. C2×#394C22semidirect
69. C2×#394C22semidirect
76. C2×#392C22semidirect
77. C2×#392C22semidirect
78. C2×#392C22semidirect
79. C2×#392C22semidirect
84. C2×#390C22semidirect
85. C2×#390C22semidirect
86. C2×#390C22semidirect
87. C2×#390C22semidirect
88. C2×#390C22semidirect
89. C2×#389C22semidirect
90. C2×#389C22semidirect
93. C2×#388C22semidirect
94. C2×#388C22semidirect
95. C2×#388C22semidirect
96. C2×#388C22semidirect
97. C2×#388C22semidirect
98. C2×#388C22semidirect
99. C2×#387C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
106. C2×#385C22semidirect
108. C2×#380C22semidirect
117. C2×C4×C22⋊C4C22semidirect
118. C2×C4×C22⋊C4C22semidirect
119. #1445C22semidirect
120. #1444C22semidirect
121. #1444C22semidirect
122. #1443C22semidirect
123. #1443C22semidirect
124. #1442C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1437C22semidirect
179. #1437C22semidirect
180. #1437C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. #1436C22semidirect
186. C4⋊#95C22semidirect
187. C4⋊#95C22semidirect
190. C22⋊#95C22semidirect
358. #394D4semidirect
359. #394D4semidirect
709. C2×C4⋊C4C2×D4semidirect
906. C2×C22⋊C4C2×D4semidirect
907. C2×C22⋊C4C2×D4semidirect
971. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27052
C2×#26852
C2×#26782
C2×#24082
#170912
#170872
#170862
#159132
#156962
#156192
#154932
#154282
#153932
#153162
#153152
#153092
#152972
#152832
#152572
#149962
#147622
#147602
#147542
#147242
#147152
#145662
#143582
#141852
#139702