Finite Group Databasebeta

← #650396

Subgroups — #650396

Order 512.

6532 conjugacy classes of subgroups.

The subgroup lattice has 2199 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#525C211yesmaximal, characteristic, complemented
2C2×#2430C211yesmaximal, characteristic, complemented
3C2×#2404C211yesmaximal, characteristic, complemented
4C2×#2339C211yesmaximal, characteristic, complemented
5#15984C211yesmaximal, characteristic, complemented
6#15982C211yesmaximal, characteristic, complemented
7#15671C211yesmaximal, characteristic, complemented
8#15668C211yesmaximal, characteristic, complemented
9#15368C211yesmaximal, characteristic, complemented
10#15323C211yesmaximal, characteristic, complemented
11#15273C211yesmaximal, characteristic, complemented
12#15270C211yesmaximal, characteristic, complemented
13#14934C211yesmaximal, characteristic, complemented
14#14911C211yesmaximal, characteristic, complemented
15#14887C211yesmaximal, characteristic, complemented
16#14885C211yesmaximal, characteristic, complemented
17#14865C211yesmaximal, characteristic, complemented
18#14759C211yesmaximal, characteristic, complemented
19#14730C211yesmaximal, characteristic, complemented
20#14716C211yesmaximal, characteristic, complemented
21#14694C211yesmaximal, characteristic, complemented
22#14175C211yesmaximal, characteristic, complemented
23#14064C211yesmaximal, characteristic, complemented
24#14023C211yesmaximal, characteristic, complemented
25#14023C211yesmaximal, characteristic, complemented
26#14016C211yesmaximal, characteristic, complemented
27#13968C211yesmaximal, characteristic, complemented
28#13967C211yesmaximal, characteristic, complemented
29#13956C211yesmaximal, characteristic, complemented
30#13894C211yesmaximal, characteristic, complemented
31C2×C22⋊#95C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C23×#41C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C2×#525—28no—
36C2×#525—28no—
37C2×#525—28no—
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×#117C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57#2430—28no—
58#2404—28no—
59C2×#395C2211yescharacteristic, complemented
60C2×#394C2211yescharacteristic, complemented
61C2×#393C2211yescharacteristic
62C2×#393C2211yescharacteristic
63C2×#393C2211yescharacteristic, complemented
64C2×#393C2211yescharacteristic, complemented
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic
67C2×#392C2211yescharacteristic
68C2×#392C2211yescharacteristic
69C2×#392C2211yescharacteristic, complemented
70#2339—28no—
71C2×#391C2211yescharacteristic, complemented
72C2×#391C2211yescharacteristic, complemented
73C2×#386C2211yescharacteristic
74C2×#386C2211yescharacteristic
75C2×#386C2211yescharacteristic
76C2×#386C2211yescharacteristic
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic, complemented
92C2×#386C2211yescharacteristic, complemented
93C2×#386C2211yescharacteristic, complemented
94C2×#386C2211yescharacteristic, complemented
95C2×#386C2211yescharacteristic, complemented
96C2×#386C2211yescharacteristic, complemented
97C2×#385C2211yescharacteristic, complemented
98C2×#385C2211yescharacteristic, complemented
99C2×#381C2211yescharacteristic
100C2×#381C2211yescharacteristic
101C2×#381C2211yescharacteristic, complemented
102C2×#381C2211yescharacteristic, complemented
103C2×#380C2211yescharacteristic, complemented
104C2×#379C2211yescharacteristic
105C2×C4×C22⋊C4C2211yescharacteristic, complemented
106C22×#95C2211yescharacteristic
107C22×#95C2211yescharacteristic
108C22×#95C2211yescharacteristic
109C22×#95C2211yescharacteristic
110C22×#95C2211yescharacteristic, complemented
111#1446C2211yescharacteristic, complemented
112#1446C2211yescharacteristic, complemented
113#1446C2211yescharacteristic, complemented
114#1445C2211yescharacteristic, complemented
115#1445C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1442C2211yescharacteristic, complemented
118#1442C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1440C2211yescharacteristic, complemented
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic, complemented
159#1438C2211yescharacteristic, complemented
160#1437C2211yescharacteristic
161#1437C2211yescharacteristic
162#1437C2211yescharacteristic, complemented
163#1437C2211yescharacteristic, complemented
164#1436C2211yescharacteristic, complemented
165#1436C2211yescharacteristic, complemented
166#1436C2211yescharacteristic, complemented
167#1436C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C22×#41—24no—
195C22×#41—24no—
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—24no—
200C22×#41—24no—
201C22×#41—24no—
202C22×#41—24no—
203C22×#41—42no—
204C22×#41—42no—
205C22×#41—42no—
206C22×#41—42no—
207C22×#41—42no—
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C24×C4—24no—
223C24×C4—24no—
224C24×C4—24no—
225C24×C4—24no—
226C24×C4—42no—
227C24×C4—42no—
228C24×C4—42no—
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244#525—2128no—
245C2×#123—24no—
246C2×#123—24no—
247C2×#123—24no—
248C2×#123—24no—
249C2×#123—24no—
250C2×#123—24no—
251C2×#123—24no—
252C2×#123—24no—
253C2×#123—42no—
254C2×C22⋊Q8—24no—
255C2×C22⋊Q8—24no—
256C2×C22⋊Q8—24no—
257C2×C22⋊Q8—24no—
258C2×C22⋊Q8—24no—
259C2×C22⋊Q8—24no—
260C2×#121—24no—
261C2×#121—24no—
262C2×#121—24no—
263C2×#121—24no—
264C2×#121—24no—
265C2×#121—24no—
266C2×#121—24no—
267C2×#121—42no—
268C2×#121D418yescomplemented
269C2×#120—24no—
270C2×#120—24no—
271C2×#120—24no—
272C2×#120—24no—
273C2×#120—24no—
274C2×#120—24no—
275C2×#120—24no—
276C2×#120—42no—
277C2×#120D418yescomplemented
278C2×C4×D4—24no—
279C2×C4×D4—24no—
280C2×C4×D4—24no—
281C2×C4×D4—24no—
282C2×C4×D4—24no—
283C2×C4×D4—24no—
284C2×C4×D4—24no—
285C2×C4×D4—24no—
286C2×C4×D4—24no—
287C2×C4×D4—24no—
288C2×C4×D4—24no—
289C2×C4×D4—24no—
290C2×C4×D4—42no—
291C2×C4×D4—42no—
292C2×C4×D4D418yescomplemented
293C2×#117—24no—
294C2×#117—24no—
295C2×#117—24no—
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—24no—
307C22×C22⋊C4—24no—
308C22×C22⋊C4—24no—
309C22×C22⋊C4—42no—
310C22×C22⋊C4—42no—
311C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#395—24no—
364#394—24no—
365#393—24no—
366#393—24no—
367#393—24no—
368#393—42no—
369#392—24no—
370#392—24no—
371#392—24no—
372#392—24no—
373#392—42no—
374#391—24no—
375#391—24no—
376#386—24no—
377#386—24no—
378#386—24no—
379#386—24no—
380#386—24no—
381#386—24no—
382#386—24no—
383#386—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#386—24no—
388#386—24no—
389#386—24no—
390#386—24no—
391#386—24no—
392#386—42no—
393#386—42no—
394#386—42no—
395#386—42no—
396#386—42no—
397#386—42no—
398#386—42no—
399#386—42no—
400#385—24no—
401#385—24no—
402#381—24no—
403#381—24no—
404#381—24no—
405#381—42no—
406#380—24no—
407#379—42no—
408C4×C22⋊C4—24no—
409C2×#95—24no—
410C2×#95—24no—
411C2×#95—24no—
412C2×#95—42no—
413C2×#95—42no—
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
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C2×#95C2311yescharacteristic
470C2×#95C2311yescharacteristic
471C2×#95C2311yescharacteristic
472C2×#95C2311yescharacteristic
473C2×#95C2311yescharacteristic
474C2×#95C2311yescharacteristic
475C2×#95C2311yescharacteristic
476C2×#95C2311yescharacteristic
477C2×#95C2311yescharacteristic
478C25—22no—
479C25—22no—
480C25—22no—
481C25—22no—
482C25—22no—
483C25—22no—
484C25—22no—
485C25—22no—
486C25—22no—
487C25—22no—
488C25—41no—
489C25—41no—
490C25—41no—
491C25—41no—
492C25C2×D414yes—
493C25C2411yescharacteristic
494C25C2411yescharacteristic
495C25C2411yescharacteristic
496C25C2411yescharacteristic
497C25C2411yescharacteristic
498C25C2411yescharacteristic
499C2×#41—232no—
500C2×#41—232no—
501C2×#41—416no—
502C2×#41—416no—
503C2×#41—416no—
504C2×#41—416no—
505C2×#41—416no—
506C2×#41—416no—
507C2×#41—416no—
508C2×#41—416no—
509C2×#41—416no—
510C2×#41—416no—
511C2×#41—416no—
512C2×#41—416no—
513C22×Q8—22no—
514C22×Q8—22no—
515C22×Q8—22no—
516C22×Q8—22no—
517C22×Q8—22no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—22no—
522C22×Q8—22no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
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—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4C2×D414yes—
604C22×D4C2×D414yes—
605C22×D4C2×D414yes—
606C22×D4C2×D414yes—
607C22×D4C2×D414yes—
608C22×D4C2×D414yes—
609C22×D4C2×D414yes—
610C22×D4#4114yescomplemented
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—232no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—22no—
651C23×C4—22no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—22no—
656C23×C4—22no—
657C23×C4—22no—
658C23×C4—22no—
659C23×C4—22no—
660C23×C4—22no—
661C23×C4—22no—
662C23×C4—22no—
663C23×C4—22no—
664C23×C4—22no—
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—22no—
668C23×C4—22no—
669C23×C4—22no—
670C23×C4—22no—
671C23×C4—22no—
672C23×C4—22no—
673C23×C4—22no—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—22no—
678C23×C4—22no—
679C23×C4—41no—
680C23×C4—41no—
681C23×C4—41no—
682C23×C4—41no—
683C23×C4—41no—
684C23×C4—41no—
685C23×C4—41no—
686C23×C4—41no—
687C23×C4—41no—
688C23×C4—41no—
689C23×C4—41no—
690C23×C4—41no—
691C23×C4—41no—
692C23×C4—41no—
693C23×C4—41no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—41no—
697C23×C4—416no—
698C23×C4—416no—
699C23×C4—41no—
700C23×C4—41no—
701C23×C4—41no—
702C23×C4—41no—
703C23×C4—41no—
704C23×C4—41no—
705C23×C4—41no—
706C23×C4—41no—
707C23×C4—41no—
708C23×C4—41no—
709C23×C4—41no—
710C23×C4—41no—
711C23×C4—41no—
712C23×C4—41no—
713C23×C4—41no—
714C23×C4—416no—
715C23×C4—416no—
716C23×C4—416no—
717C23×C4—416no—
718C23×C4C2×D414yes—
719C23×C4C2×D414yes—
720C23×C4C2×D414yes—
721C23×C4#4114yescomplemented
722C23×C4#4114yescomplemented
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748#123—232no—
749#123—232no—
750#123—416no—
751C22⋊Q8—232no—
752C22⋊Q8—232no—
753#121—232no—
754#121—232no—
755#121—416no—
756#120—232no—
757#120—232no—
758#120—416no—
759C4×D4—232no—
760C4×D4—232no—
761C4×D4—232no—
762C4×D4—232no—
763C4×D4—416no—
764#117—232no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—22no—
771C2×C4⋊C4—22no—
772C2×C4⋊C4—22no—
773C2×C4⋊C4—22no—
774C2×C4⋊C4—22no—
775C2×C4⋊C4—22no—
776C2×C4⋊C4—22no—
777C2×C4⋊C4—22no—
778C2×C4⋊C4—22no—
779C2×C4⋊C4—22no—
780C2×C4⋊C4—22no—
781C2×C4⋊C4—22no—
782C2×C4⋊C4—22no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—22no—
785C2×C4⋊C4—22no—
786C2×C4⋊C4—22no—
787C2×C4⋊C4—22no—
788C2×C4⋊C4—41no—
789C2×C4⋊C4—41no—
790C2×C4⋊C4—41no—
791C2×C4⋊C4—41no—
792C2×C4⋊C4—41no—
793C2×C4⋊C4C2×D414yes—
794C2×C4⋊C4C2×D414yes—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
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—416no—
897C2×C22⋊C4—416no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C22⋊C4—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4C2×D414yes—
934C2×C22⋊C4C2×D414yes—
935C2×C22⋊C4C2×D414yes—
936C2×C22⋊C4C2×D414yes—
937C2×C22⋊C4C2×D414yes—
938C2×C22⋊C4C2×D414yes—
939C2×C22⋊C4C2×D414yes—
940C2×C22⋊C4#4114yescomplemented
941C2×C42—22no—
942C2×C42—22no—
943C2×C42—22no—
944C2×C42—22no—
945C2×C42—22no—
946C2×C42—22no—
947C2×C42—41no—
948C2×C42—41no—
949C2×C42C2×D414yes—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—22no—
955#95—22no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—22no—
960#95—22no—
961#95—22no—
962#95—22no—
963#95—22no—
964#95—22no—
965#95—22no—
966#95—22no—
967#95—22no—
968#95—22no—
969#95—22no—
970#95—22no—
971#95—22no—
972#95—22no—
973#95—22no—
974#95—22no—
975#95—22no—
976#95—22no—
977#95—22no—
978#95—22no—
979#95—22no—
980#95—22no—
981#95—22no—
982#95—22no—
983#95—22no—
984#95—22no—
985#95—22no—
986#95—22no—
987#95—22no—
988#95—22no—
989#95—41no—
990#95—41no—
991#95—41no—
992#95—41no—
993#95—41no—
994#95—41no—
995#95—41no—
996#95—41no—
997#95—41no—
998#95—41no—
999#95—41no—
1000#95—41no—
1001#95—41no—
1002#95—41no—
1003#95—41no—
1004#95—41no—
1005#95—41no—
1006#95—41no—
1007#95—41no—
1008#95—41no—
1009#95—41no—
1010#95—41no—
1011#95—41no—
1012#95—41no—
1013#95—41no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—28no—
1023C24—28no—
1024C24—28no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—28no—
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—28no—
1066C24—28no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
1078C24—21no—
1079C24—21no—
1080C24—21no—
1081C24—21no—
1082C24—21no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—21no—
1087C24—21no—
1088C24—21no—
1089C24—21no—
1090C24—21no—
1091C24—21no—
1092C24—21no—
1093C24—21no—
1094C24—21no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24C22×D412yes—
1122C24C22×D412yes—
1123C24C22×D412yes—
1124C24C22×D412yes—
1125C24C22×D412yes—
1126C24C22×D412yes—
1127C24C22×D412yes—
1128C24C22×D412yes—
1129C24C22×D412yes—
1130C24C2×#4112yes—
1131C24C2×#4112yes—
1132C24C2×#4112yes—
1133C24C2×#4112yes—
1134C24C2×#4112yes—
1135C24H(5,𝔽2)12yes—
1136C24H(5,𝔽2)12yes—
1137C24H(5,𝔽2)12yes—
1138C242−1+412yes—
1139C24C2511yescharacteristic
1140#41—4128no—
1141#41—4128no—
1142C2×Q8—28no—
1143C2×Q8—28no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
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—44no—
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—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
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#120116yes—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—28no—
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—28no—
1344C22×C4—28no—
1345C22×C4—28no—
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—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—4128no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
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—82no—
1486C22×C4—82no—
1487C22×C4—82no—
1488C22×C4—82no—
1489C22×C4—82no—
1490C22×C4—82no—
1491C22×C4—82no—
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×C4C22×D412yes—
1501C22×C4C22×D412yes—
1502C22×C4C22×D412yes—
1503C22×C4C22×D412yes—
1504C22×C4C22×D412yes—
1505C22×C4C22×D412yes—
1506C22×C4C22×D412yes—
1507C22×C4C22×D412yes—
1508C22×C4C22×D412yes—
1509C22×C4C22×D412yes—
1510C22×C4C22×D412yes—
1511C22×C4C22×D412yes—
1512C22×C4C2×#4112yes—
1513C22×C4C2×#4112yes—
1514C22×C4C2×#4112yes—
1515C22×C4C2×#4112yes—
1516C22×C4C2×#4112yes—
1517C22×C4C2×#4112yes—
1518C22×C4C2×#4112yes—
1519C22×C4H(5,𝔽2)12yes—
1520C22×C4H(5,𝔽2)12yes—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—82no—
1564C22⋊C4—82no—
1565C22⋊C4—82no—
1566C22⋊C4—82no—
1567C22⋊C4—82no—
1568C22⋊C4—82no—
1569C22⋊C4—82no—
1570C22⋊C4—82no—
1571C22⋊C4—82no—
1572C22⋊C4—82no—
1573C22⋊C4—82no—
1574C22⋊C4—82no—
1575C22⋊C4—82no—
1576C22⋊C4—82no—
1577C22⋊C4—82no—
1578C22⋊C4—82no—
1579C42—28no—
1580C42—28no—
1581C42—44no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—232no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—416no—
1680C23—416no—
1681C23—416no—
1682C23—416no—
1683C23—416no—
1684C23—416no—
1685C23—416no—
1686C23—416no—
1687C23—416no—
1688C23—416no—
1689C23—416no—
1690C23—416no—
1691C23—416no—
1692C23—416no—
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—41no—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—41no—
1796C23—41no—
1797C23C2×#12014yes—
1798C23C2×#12014yes—
1799C23#52514yes—
1800C23#53514yes—
1801C23#54614yes—
1802C23#54614yes—
1803C23#54614yes—
1804C23#54614yes—
1805C23#54614yes—
1806C23#54714yes—
1807C23C23×D411yescharacteristic
1808C23C23×D411yescharacteristic
1809C23C23×D411yescharacteristic
1810C23C22×#4111yescharacteristic
1811C23C22×#4111yescharacteristic
1812C23C22×#4111yescharacteristic
1813C23C22×#4111yescharacteristic
1814C23C2×H(5,𝔽2)11yescharacteristic
1815C23C2×H(5,𝔽2)11yescharacteristic
1816C23C2×H(5,𝔽2)11yescharacteristic
1817C23C2×H(5,𝔽2)11yescharacteristic
1818C23C2×H(5,𝔽2)11yescharacteristic
1819C23C2×2−1+411yescharacteristic
1820C23#58511yescharacteristic
1821C23#58511yescharacteristic
1822Q8—416no—
1823Q8—416no—
1824D4—232no—
1825D4—416no—
1826D4—416no—
1827D4—416no—
1828D4—416no—
1829D4—416no—
1830D4—416no—
1831D4—416no—
1832D4—416no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836C2×C4—232no—
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—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—416no—
1892C2×C4—416no—
1893C2×C4—416no—
1894C2×C4—416no—
1895C2×C4—416no—
1896C2×C4—416no—
1897C2×C4—416no—
1898C2×C4—416no—
1899C2×C4—416no—
1900C2×C4—416no—
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—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—41no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—88no—
2020C2×C4—88no—
2021C2×C4—88no—
2022C2×C4—88no—
2023C2×C4C2×#12014yes—
2024C2×C4#54614yes—
2025C2×C4#54614yes—
2026C22—24no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—24no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—24no—
2036C22—24no—
2037C22—24no—
2038C22—24no—
2039C22—24no—
2040C22—24no—
2041C22—24no—
2042C22—24no—
2043C22—24no—
2044C22—24no—
2045C22—24no—
2046C22—24no—
2047C22—24no—
2048C22—24no—
2049C22—464no—
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—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
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—
2115C22—81no—
2116C22#240418yes—
2117C22C22×#12011yescharacteristic
2118C22C2×#52511yescharacteristic
2119C22#344411yescharacteristic
2120C22C2×#53511yescharacteristic
2121C22#346011yescharacteristic
2122C22C2×#54611yescharacteristic
2123C22C2×#54611yescharacteristic
2124C22C2×#54611yescharacteristic
2125C22C2×#54611yescharacteristic
2126C22C2×#54611yescharacteristic
2127C22C2×#54611yescharacteristic
2128C22C2×#54611yescharacteristic
2129C22C2×#54711yescharacteristic
2130C22D4×#4111yescharacteristic
2131C22D4×#4111yescharacteristic
2132C22#347511yescharacteristic
2133C22#348111yescharacteristic
2134C22#348411yescharacteristic
2135C22#348411yescharacteristic
2136C22#348411yescharacteristic
2137C22#348511yescharacteristic
2138C22#348911yescharacteristic
2139C22#348911yescharacteristic
2140C22#349011yescharacteristic
2141C22#349211yescharacteristic
2142C22#349211yescharacteristic
2143C22#349411yescharacteristic
2144C22#350611yescharacteristic
2145C22#351311yescharacteristic
2146C22#351911yescharacteristic
2147C22#352011yescharacteristic
2148C22#353411yescharacteristic
2149C22#353611yescharacteristic
2150C22#354211yescharacteristic
2151C22#354211yescharacteristic
2152C4—24no—
2153C4—24no—
2154C4—24no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—81no—
2168C4—81no—
2169C4—81no—
2170C4—81no—
2171C4—81no—
2172C4—81no—
2173C4—81no—
2174C4—81no—
2175C4—81no—
2176C4—81no—
2177C2—28no—
2178C2—44no—
2179C2—44no—
2180C2—44no—
2181C2—82no—
2182C2—82no—
2183C2C2×#240411yescharacteristic
2184C2#3473211yescharacteristic
2185C2#3535311yescharacteristic
2186C2#3614611yescharacteristic
2187C2#3614711yescharacteristic
2188C2#3615211yescharacteristic
2189C2#3621311yescharacteristic
2190C2#3774511yescharacteristic
2191C2#3777711yescharacteristic
2192C2#3783911yescharacteristic
2193C2#3835811yescharacteristic
2194C2#5900911yescharacteristic
2195C2#5902311yescharacteristic
2196C2#5902911yescharacteristic
2197C2#5909011yescharacteristic
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. C22×#525C2semidirect
2. C2×#2430C2semidirect
3. C2×#2404C2semidirect
4. C2×#2339C2semidirect
5. #15984C2semidirect
6. #15982C2semidirect
7. #15671C2semidirect
8. #15668C2semidirect
9. #15368C2semidirect
10. #15323C2semidirect
11. #15273C2semidirect
12. #15270C2semidirect
13. #14934C2semidirect
14. #14911C2semidirect
15. #14887C2semidirect
16. #14885C2semidirect
17. #14865C2semidirect
18. #14759C2semidirect
19. #14730C2semidirect
20. #14716C2semidirect
21. #14694C2semidirect
22. #14175C2semidirect
23. #14064C2semidirect
24. #14023C2semidirect
25. #14023C2semidirect
26. #14016C2semidirect
27. #13968C2semidirect
28. #13967C2semidirect
29. #13956C2semidirect
30. #13894C2semidirect
31. C2×C22⋊#95C2semidirect
59. C2×#395C22semidirect
60. C2×#394C22semidirect
63. C2×#393C22semidirect
64. C2×#393C22semidirect
69. C2×#392C22semidirect
71. C2×#391C22semidirect
72. C2×#391C22semidirect
91. C2×#386C22semidirect
92. C2×#386C22semidirect
93. C2×#386C22semidirect
94. C2×#386C22semidirect
95. C2×#386C22semidirect
96. C2×#386C22semidirect
97. C2×#385C22semidirect
98. C2×#385C22semidirect
101. C2×#381C22semidirect
102. C2×#381C22semidirect
103. C2×#380C22semidirect
105. C2×C4×C22⋊C4C22semidirect
110. C22×#95C22semidirect
111. #1446C22semidirect
112. #1446C22semidirect
113. #1446C22semidirect
114. #1445C22semidirect
115. #1445C22semidirect
116. #1442C22semidirect
117. #1442C22semidirect
118. #1442C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1442C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
134. #1440C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
158. #1438C22semidirect
159. #1438C22semidirect
162. #1437C22semidirect
163. #1437C22semidirect
164. #1436C22semidirect
165. #1436C22semidirect
166. #1436C22semidirect
167. #1436C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
268. C2×#121D4semidirect
277. C2×#120D4semidirect
292. C2×C4×D4D4semidirect
610. C22×D4#41semidirect
721. C23×C4#41semidirect
722. C23×C4#41semidirect
940. C2×C22⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
C22×#5252
C2×#24302
C2×#24042
C2×#23392
#159842
#159822
#156712
#156682
#153682
#153232
#152732
#152702
#149342
#149112
#148872
#148852
#148652
#147592
#147302
#147162
#146942
#141752
#140642
#140232
#140162
#139682
#139672
#139562
#138942
C2×C22⋊#952