Finite Group Databasebeta

← C2×#760386 #72325248

Subgroups — C2×#760386 #72325248

Order 1024.

48565 conjugacy classes of subgroups.

The subgroup lattice has 2772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#2534C211yesmaximal, characteristic, complemented
2C22×C4×#120C211yesmaximal, characteristic, complemented
3C23×#386C211yesmaximal, characteristic, complemented
4C22×#2280C211yesmaximal, characteristic, complemented
5#760386C2132yesmaximal, direct product factor
6C2×#16562C212yesmaximal, complemented
7C2×#16512C212yesmaximal, complemented
8C2×#14974C212yesmaximal, complemented
9C2×#14918C211yesmaximal, characteristic, complemented
10C2×#14911C211yesmaximal, characteristic, complemented
11C2×#14890C212yesmaximal, complemented
12C2×#14886C212yesmaximal, complemented
13C2×#14730C212yesmaximal, complemented
14C2×#14724C211yesmaximal, characteristic, complemented
15C2×#14715C211yesmaximal, characteristic
16C2×#14199C212yesmaximal, complemented
17C2×#14187C212yesmaximal, complemented
18C2×#14149C211yesmaximal, characteristic, complemented
19C2×#13996C211yesmaximal, characteristic, complemented
20C2×#13995C211yesmaximal, characteristic, complemented
21C2×#13972C211yesmaximal, characteristic, complemented
22C2×#13971C211yesmaximal, characteristic, complemented
23C2×#13960C211yesmaximal, characteristic, complemented
24C2×#13903C211yesmaximal, characteristic, complemented
25C25×D4C2211yescharacteristic
26C26×C4C2211yescharacteristic
27C23×#123C2211yescharacteristic
28C23×#120C2211yescharacteristic
29C23×#120C2211yescharacteristic
30C23×C4×D4C2211yescharacteristic
31C23×C4×D4C2211yescharacteristic, complemented
32C23×C4×D4C2211yescharacteristic, complemented
33C23×#117C2212yescomplemented
34C24×C22⋊C4C2211yescharacteristic
35C24×C22⋊C4C2211yescharacteristic
36C24×C22⋊C4C2211yescharacteristic
37C2×#2534—216no—
38C2×#2534C22116yescomplemented
39C22×#396C2212yescomplemented
40C22×#394C2212yes—
41C22×#394C2212yes—
42C22×#394C2212yescomplemented
43C22×#392C2212yes—
44C22×#392C2212yes—
45C2×C4×#120—216no—
46C2×C4×#120C22116yescomplemented
47C22×#390C2212yescomplemented
48C22×#388C2212yescomplemented
49C22×#388C2212yescomplemented
50C22×#386—216no—
51C22×#386C2212yes—
52C22×#386C2212yes—
53C22×#386C2212yes—
54C22×#386C2212yes—
55C22×#386C2211yescharacteristic
56C22×#386C2211yescharacteristic
57C22×#386C2211yescharacteristic
58C22×#386C22116yescomplemented
59C22×#386C2211yescharacteristic, complemented
60C22×#386C2211yescharacteristic, complemented
61C22×#386C2212yescomplemented
62C22×#385C2211yescharacteristic
63C22×#385C2211yescharacteristic
64C22×#385C2211yescharacteristic
65C22×#385C2211yescharacteristic, complemented
66C22×#385C2211yescharacteristic, complemented
67C2×#2280—216no—
68C2×#2280C22116yescomplemented
69C22×#381C2211yescharacteristic
70C22×#381C2211yescharacteristic
71C22×#381C2211yescharacteristic
72C22×#381C2212yescomplemented
73C22×#380C2211yescharacteristic
74C22×#380C2211yescharacteristic
75C22×#380C2212yescomplemented
76C22×#379C2211yescharacteristic
77C22×#379C2211yescharacteristic
78C22×#379C2211yescharacteristic
79C22×#379C2211yescharacteristic
80C22×#379C2211yescharacteristic
81C22×#379C2211yescharacteristic
82C22×C4×C22⋊C4C2211yescharacteristic
83C22×C4×C22⋊C4C2211yescharacteristic
84C22×C4×C22⋊C4C2211yescharacteristic
85C22×C4×C22⋊C4C2212yescomplemented
86C22×C4×C22⋊C4C2211yescharacteristic, complemented
87C22×C4×C22⋊C4C2211yescharacteristic, complemented
88C23×#95C2211yescharacteristic
89C23×#95C2211yescharacteristic
90#16562C22132yescomplemented
91#16512C22132yescomplemented
92#14974C22132yescomplemented
93#14918C22116yescomplemented
94#14911C22116yescomplemented
95#14890C22132yescomplemented
96#14886C22132yescomplemented
97#14730C22132yescomplemented
98#14724C22116yescomplemented
99#14715C22116yes—
100#14199C22132yescomplemented
101#14187C22132yescomplemented
102#14149C22116yescomplemented
103#13996C22116yescomplemented
104#13995C22116yescomplemented
105#13972C22116yescomplemented
106#13971C22116yescomplemented
107#13960C22116yescomplemented
108#13903C22116yescomplemented
109C2×#1445C2212yescomplemented
110C2×#1443C2212yescomplemented
111C2×#1442C2212yescomplemented
112C2×#1441C2212yescomplemented
113C2×#1441C2212yescomplemented
114C2×#1441C2212yescomplemented
115C2×#1440C2212yescomplemented
116C2×#1440C2212yescomplemented
117C2×#1440C2212yescomplemented
118C2×#1439C2212yescomplemented
119C2×#1439C2212yescomplemented
120C2×#1439C2212yescomplemented
121C2×#1439C2212yescomplemented
122C2×#1439C2212yescomplemented
123C2×#1439C2212yescomplemented
124C2×#1439C2212yescomplemented
125C2×#1439C2212yescomplemented
126C2×#1439C2212yescomplemented
127C2×#1439C2212yescomplemented
128C2×#1438C2212yes—
129C2×#1438C2212yes—
130C2×#1438C2212yes—
131C2×#1438C2212yes—
132C2×#1438C2212yescomplemented
133C2×#1438C2212yescomplemented
134C2×#1438C2212yescomplemented
135C2×#1437C2212yescomplemented
136C2×#1437C2212yescomplemented
137C2×#1437C2212yescomplemented
138C2×#1437C2212yescomplemented
139C2×#1437C2212yescomplemented
140C2×#1436C2212yescomplemented
141C2×#1436C2212yescomplemented
142C2×#1436C2212yescomplemented
143C2×C4⋊#95C2212yescomplemented
144C2×#1434C2212yescomplemented
145C2×#1434C2212yescomplemented
146C2×C22⋊#95C2211yescharacteristic
147C2×C22⋊#95C2211yescharacteristic
148C2×C22⋊#95C2211yescharacteristic
149C2×C22⋊#95C2211yescharacteristic
150C2×C22⋊#95C2212yescomplemented
151C27C2311yescharacteristic
152C27C2311yescharacteristic
153C24×D4—28no—
154C24×D4—216no—
155C24×D4—44no—
156C24×D4—44no—
157C24×D4—48no—
158C24×D4C2311yescharacteristic
159C24×D4C2312yes—
160C24×D4C2311yescharacteristic
161C24×D4C2311yescharacteristic
162C24×D4C2312yes—
163C24×D4C2318yes—
164C24×D4C2312yes—
165C25×C4—28no—
166C25×C4—28no—
167C25×C4—48no—
168C25×C4—48no—
169C25×C4D4116yescomplemented
170C25×C4C2311yescharacteristic
171C25×C4C2311yescharacteristic
172C25×C4C2311yescharacteristic
173C25×C4C2311yescharacteristic
174C25×C4C2311yescharacteristic
175C25×C4C2311yescharacteristic
176C25×C4C2311yescharacteristic
177C25×C4C2311yescharacteristic
178C25×C4C2311yescharacteristic
179C25×C4C2318yes—
180C25×C4C2311yescharacteristic
181C22×#123—28no—
182C22×#123—28no—
183C22×#123—44no—
184C22×#123C2318yes—
185C22×#120—28no—
186C22×#120—28no—
187C22×#120—28no—
188C22×#120—28no—
189C22×#120—28no—
190C22×#120—44no—
191C22×#120C2318yes—
192C22×#120C2318yes—
193C22×C4×D4—28no—
194C22×C4×D4—28no—
195C22×C4×D4—28no—
196C22×C4×D4—28no—
197C22×C4×D4—28no—
198C22×C4×D4—48no—
199C22×C4×D4—48no—
200C22×C4×D4C2318yes—
201C22×C4×D4C2318yescomplemented
202C22×C4×D4C2318yescomplemented
203C22×#117—216no—
204C22×#117—48no—
205C22×#117—48no—
206C22×#117C23116yescomplemented
207C23×C4⋊C4C2311yescharacteristic
208C23×C4⋊C4C2311yescharacteristic
209C23×C4⋊C4C2312yes—
210C23×C4⋊C4C2312yes—
211C23×C4⋊C4C2311yescharacteristic
212C23×C4⋊C4C2312yes—
213C23×C4⋊C4C2312yes—
214C23×C4⋊C4C2312yes—
215C23×C22⋊C4—28no—
216C23×C22⋊C4—28no—
217C23×C22⋊C4—28no—
218C23×C22⋊C4—28no—
219C23×C22⋊C4—28no—
220C23×C22⋊C4—48no—
221C23×C22⋊C4—44no—
222C23×C22⋊C4—44no—
223C23×C22⋊C4C2318yes—
224C23×C22⋊C4C2311yescharacteristic
225C23×C22⋊C4C2311yescharacteristic
226C23×C22⋊C4C2312yes—
227C23×C22⋊C4C2311yescharacteristic
228C23×C22⋊C4C2311yescharacteristic
229C23×C22⋊C4C2311yescharacteristic
230C23×C22⋊C4C2312yes—
231C23×C22⋊C4C2312yes—
232C23×C22⋊C4C2311yescharacteristic
233C23×C22⋊C4C2311yescharacteristic
234C23×C22⋊C4C2311yescharacteristic
235C23×C22⋊C4C2311yescharacteristic
236C23×C22⋊C4C2311yescharacteristic
237C23×C22⋊C4C2312yes—
238C23×C22⋊C4C2312yes—
239C23×C22⋊C4C2312yes—
240C23×C22⋊C4C2312yes—
241C23×C22⋊C4C2312yes—
242C23×C22⋊C4C2312yes—
243C23×C22⋊C4C2312yes—
244C23×C22⋊C4C2312yes—
245C23×C22⋊C4C2311yescharacteristic
246C23×C22⋊C4C2311yescharacteristic
247C23×C22⋊C4C2311yescharacteristic
248C23×C22⋊C4C2311yescharacteristic
249C23×C22⋊C4C2311yescharacteristic
250C23×C22⋊C4C2312yes—
251C23×C22⋊C4C2312yes—
252C23×C22⋊C4C2311yescharacteristic
253C23×C22⋊C4C2312yes—
254C23×C22⋊C4C2312yes—
255C23×C22⋊C4C2312yes—
256C23×C22⋊C4C2312yes—
257C23×C22⋊C4C2312yes—
258C23×C22⋊C4C2318yes—
259C23×C22⋊C4C2318yes—
260C23×C22⋊C4C2312yes—
261C23×C22⋊C4C2312yes—
262C23×C42C2311yescharacteristic
263C23×C42C2312yes—
264C23×C42C2312yes—
265C23×C42C2311yescharacteristic
266C23×C42C2311yescharacteristic
267#2534—2128no—
268C2×#396—216no—
269C2×#396C23116yescomplemented
270C2×#394—216no—
271C2×#394—216no—
272C2×#394—48no—
273C2×#394C23116yes—
274C2×#394C23116yes—
275C2×#394C23116yescomplemented
276C2×#392—216no—
277C2×#392—48no—
278C2×#392C23116yes—
279C2×#392C23116yes—
280C4×#120—2128no—
281C2×#390—48no—
282C2×#390C23116yescomplemented
283C2×#388—216no—
284C2×#388—48no—
285C2×#388C23116yescomplemented
286C2×#388C23116yescomplemented
287C2×#386—216no—
288C2×#386—216no—
289C2×#386—216no—
290C2×#386—216no—
291C2×#386—216no—
292C2×#386—28no—
293C2×#386—28no—
294C2×#386—28no—
295C2×#386—2128no—
296C2×#386—44no—
297C2×#386—44no—
298C2×#386C23116yes—
299C2×#386C23116yes—
300C2×#386C23116yes—
301C2×#386C23116yes—
302C2×#386C2318yes—
303C2×#386C2318yes—
304C2×#386C2318yes—
305C2×#386C23116yescomplemented
306C2×#386C2318yescomplemented
307C2×#386C2318yescomplemented
308C2×#385—28no—
309C2×#385—28no—
310C2×#385—28no—
311C2×#385—44no—
312C2×#385—44no—
313C2×#385C2318yes—
314C2×#385C2318yes—
315C2×#385C2318yes—
316C2×#385C2318yescomplemented
317C2×#385C2318yescomplemented
318#2280—2128no—
319C2×#381—216no—
320C2×#381—28no—
321C2×#381—28no—
322C2×#381—44no—
323C2×#381C2318yes—
324C2×#381C2318yes—
325C2×#381C2318yes—
326C2×#381C23116yescomplemented
327C2×#380—28no—
328C2×#380—216no—
329C2×#380D4116yescomplemented
330C2×#380C2318yes—
331C2×#380C2318yes—
332C2×#380C23116yescomplemented
333C2×#379—28no—
334C2×#379—28no—
335C2×#379—28no—
336C2×#379—28no—
337C2×#379—28no—
338C2×#379—44no—
339C2×#379C2318yes—
340C2×#379C2318yes—
341C2×#379C2318yes—
342C2×#379C2318yes—
343C2×#379C2318yes—
344C2×#379C2318yes—
345C2×C4×C22⋊C4—216no—
346C2×C4×C22⋊C4—28no—
347C2×C4×C22⋊C4—28no—
348C2×C4×C22⋊C4—28no—
349C2×C4×C22⋊C4—28no—
350C2×C4×C22⋊C4—28no—
351C2×C4×C22⋊C4C2318yes—
352C2×C4×C22⋊C4C2318yes—
353C2×C4×C22⋊C4C2318yes—
354C2×C4×C22⋊C4C23116yescomplemented
355C2×C4×C22⋊C4C2318yescomplemented
356C2×C4×C22⋊C4C2318yescomplemented
357C22×#95—28no—
358C22×#95—28no—
359C22×#95C2312yes—
360C22×#95C2312yes—
361C22×#95C2312yes—
362C22×#95C2312yes—
363C22×#95C2312yes—
364C22×#95C2312yes—
365C22×#95C2311yescharacteristic
366C22×#95C2311yescharacteristic
367C22×#95C2311yescharacteristic
368C22×#95C2312yes—
369C22×#95C2312yes—
370C22×#95C2312yes—
371C22×#95C2312yes—
372C22×#95C2311yescharacteristic
373C22×#95C2318yes—
374C22×#95C2318yes—
375C22×#95C2312yes—
376C22×#95C2312yes—
377C22×#95C2311yescharacteristic
378C22×#95C2312yes—
379C22×#95C2311yescharacteristic
380C22×#95C2312yes—
381C22×#95C2312yes—
382C22×#95C2312yes—
383C22×#95C2312yes—
384C22×#95C2312yes—
385C22×#95C2312yes—
386C22×#95C2312yes—
387C22×#95C2312yes—
388C22×#95C2312yes—
389C22×#95C2312yes—
390C22×#95C2312yes—
391C22×#95C2312yes—
392C22×#95C2312yes—
393#1445C23116yescomplemented
394#1443C23116yescomplemented
395#1442C23116yescomplemented
396#1441C23116yescomplemented
397#1441C23116yescomplemented
398#1441C23116yescomplemented
399#1440C23116yescomplemented
400#1440C23116yescomplemented
401#1440C23116yescomplemented
402#1439C23116yescomplemented
403#1439C23116yescomplemented
404#1439C23116yescomplemented
405#1439C23116yescomplemented
406#1439C23116yescomplemented
407#1439C23116yescomplemented
408#1439C23116yescomplemented
409#1439C23116yescomplemented
410#1439C23116yescomplemented
411#1439C23116yescomplemented
412#1438C23116yes—
413#1438C23116yes—
414#1438C23116yes—
415#1438C23116yes—
416#1438C23116yescomplemented
417#1438C23116yescomplemented
418#1438C23116yescomplemented
419#1437C23116yescomplemented
420#1437C23116yescomplemented
421#1437C23116yescomplemented
422#1437C23116yescomplemented
423#1437C23116yescomplemented
424#1436C23116yescomplemented
425#1436C23116yescomplemented
426#1436C23116yescomplemented
427C4⋊#95C23116yescomplemented
428#1434C23116yescomplemented
429#1434C23116yescomplemented
430C22⋊#95C2318yes—
431C22⋊#95C2318yes—
432C22⋊#95C2318yes—
433C22⋊#95C2318yes—
434C22⋊#95C23116yescomplemented
435C26—28no—
436C26—28no—
437C26—24no—
438C26—24no—
439C26—24no—
440C26—24no—
441C26—24no—
442C26—28no—
443C26—24no—
444C26—24no—
445C26—24no—
446C26—24no—
447C26—24no—
448C26—24no—
449C26—24no—
450C26—24no—
451C26—44no—
452C26—44no—
453C26—44no—
454C26—44no—
455C26—44no—
456C26C2×D418yes—
457C26C2411yescharacteristic
458C26C2412yes—
459C26C2411yescharacteristic
460C26C2411yescharacteristic
461C26C2414yes—
462C26C2414yes—
463C26C2411yescharacteristic
464C23×D4—2128no—
465C23×D4—232no—
466C23×D4—28no—
467C23×D4—28no—
468C23×D4—24no—
469C23×D4—24no—
470C23×D4—24no—
471C23×D4—24no—
472C23×D4—28no—
473C23×D4—28no—
474C23×D4—24no—
475C23×D4—24no—
476C23×D4—24no—
477C23×D4—24no—
478C23×D4—24no—
479C23×D4—24no—
480C23×D4—264no—
481C23×D4—28no—
482C23×D4—28no—
483C23×D4—28no—
484C23×D4—28no—
485C23×D4—28no—
486C23×D4—28no—
487C23×D4—28no—
488C23×D4—28no—
489C23×D4—24no—
490C23×D4—24no—
491C23×D4—44no—
492C23×D4—44no—
493C23×D4—44no—
494C23×D4—44no—
495C23×D4—44no—
496C23×D4—44no—
497C23×D4—416no—
498C23×D4—416no—
499C23×D4—44no—
500C23×D4—44no—
501C23×D4—44no—
502C23×D4—44no—
503C23×D4—44no—
504C23×D4—44no—
505C23×D4—432no—
506C23×D4—4128no—
507C23×D4—4128no—
508C23×D4—464no—
509C23×D4—464no—
510C23×D4#4118yes—
511C23×D4#41116yes—
512C23×D4C2414yes—
513C23×D4C2418yes—
514C23×D4C2414yes—
515C23×D4C2414yes—
516C23×D4C2418yes—
517C23×D4C2418yes—
518C24×C4—28no—
519C24×C4—24no—
520C24×C4—24no—
521C24×C4—28no—
522C24×C4—24no—
523C24×C4—24no—
524C24×C4—24no—
525C24×C4—28no—
526C24×C4—2128no—
527C24×C4—24no—
528C24×C4—24no—
529C24×C4—24no—
530C24×C4—232no—
531C24×C4—24no—
532C24×C4—232no—
533C24×C4—24no—
534C24×C4—24no—
535C24×C4—28no—
536C24×C4—28no—
537C24×C4—28no—
538C24×C4—24no—
539C24×C4—24no—
540C24×C4—24no—
541C24×C4—24no—
542C24×C4—24no—
543C24×C4—24no—
544C24×C4—24no—
545C24×C4—24no—
546C24×C4—24no—
547C24×C4—24no—
548C24×C4—24no—
549C24×C4—24no—
550C24×C4—24no—
551C24×C4—24no—
552C24×C4—24no—
553C24×C4—464no—
554C24×C4—432no—
555C24×C4—464no—
556C24×C4—44no—
557C24×C4—44no—
558C24×C4—44no—
559C24×C4—44no—
560C24×C4—432no—
561C24×C4—44no—
562C24×C4—44no—
563C24×C4—44no—
564C24×C4—44no—
565C24×C4—44no—
566C24×C4—44no—
567C24×C4—44no—
568C24×C4—44no—
569C24×C4—4128no—
570C24×C4—4128no—
571C24×C4C2×D418yes—
572C24×C4C2×D418yes—
573C24×C4C2×D418yes—
574C24×C4C2×D418yes—
575C24×C4C2×D418yes—
576C24×C4C2×D418yes—
577C24×C4C2×D418yes—
578C24×C4C2×D4164yescomplemented
579C24×C4#4118yes—
580C24×C4C2414yes—
581C24×C4C2411yescharacteristic
582C24×C4C2412yes—
583C24×C4C2412yes—
584C24×C4C2411yescharacteristic
585C24×C4C2411yescharacteristic
586C24×C4C2412yes—
587C24×C4C2412yes—
588C24×C4C2411yescharacteristic
589C24×C4C2414yes—
590C24×C4C2411yescharacteristic
591C24×C4C2412yes—
592C24×C4C2412yes—
593C24×C4C2412yes—
594C24×C4C2411yescharacteristic
595C24×C4C2411yescharacteristic
596C24×C4C2411yescharacteristic
597C24×C4C2414yes—
598C24×C4C2414yes—
599C24×C4C2414yes—
600C24×C4C2414yes—
601C24×C4C2411yescharacteristic
602C24×C4C2411yescharacteristic
603C24×C4C2411yescharacteristic
604C24×C4C2414yes—
605C24×C4C2414yes—
606C24×C4C2414yes—
607C24×C4C2414yes—
608C2×#123—232no—
609C2×#123—232no—
610C2×#123—416no—
611C2×#123—464no—
612C2×#120—2128no—
613C2×#120—232no—
614C2×#120—232no—
615C2×#120—232no—
616C2×#120—232no—
617C2×#120—232no—
618C2×#120—416no—
619C2×#120—464no—
620C2×C4×D4—232no—
621C2×C4×D4—232no—
622C2×C4×D4—232no—
623C2×C4×D4—232no—
624C2×C4×D4—232no—
625C2×C4×D4—432no—
626C2×C4×D4—432no—
627C2×C4×D4—464no—
628C2×C4×D4—464no—
629C2×C4×D4—464no—
630C2×#117—264no—
631C2×#117—432no—
632C2×#117—432no—
633C2×#117—4128no—
634C22×C4⋊C4—24no—
635C22×C4⋊C4—28no—
636C22×C4⋊C4—28no—
637C22×C4⋊C4—24no—
638C22×C4⋊C4—24no—
639C22×C4⋊C4—24no—
640C22×C4⋊C4—24no—
641C22×C4⋊C4—28no—
642C22×C4⋊C4—28no—
643C22×C4⋊C4—28no—
644C22×C4⋊C4—44no—
645C22×C4⋊C4—44no—
646C22×C4⋊C4—44no—
647C22×C4⋊C4—44no—
648C22×C4⋊C4—44no—
649C22×C4⋊C4—44no—
650C22×C4⋊C4—44no—
651C22×C4⋊C4—44no—
652C22×C4⋊C4—44no—
653C22×C4⋊C4—44no—
654C22×C4⋊C4—44no—
655C22×C4⋊C4C2×D4116yescomplemented
656C22×C4⋊C4C2414yes—
657C22×C4⋊C4C2414yes—
658C22×C4⋊C4C2418yes—
659C22×C4⋊C4C2418yes—
660C22×C4⋊C4C2418yes—
661C22×C4⋊C4C2414yes—
662C22×C4⋊C4C2418yes—
663C22×C4⋊C4C2418yes—
664C22×C22⋊C4—24no—
665C22×C22⋊C4—24no—
666C22×C22⋊C4—24no—
667C22×C22⋊C4—24no—
668C22×C22⋊C4—24no—
669C22×C22⋊C4—24no—
670C22×C22⋊C4—24no—
671C22×C22⋊C4—24no—
672C22×C22⋊C4—24no—
673C22×C22⋊C4—24no—
674C22×C22⋊C4—24no—
675C22×C22⋊C4—24no—
676C22×C22⋊C4—28no—
677C22×C22⋊C4—28no—
678C22×C22⋊C4—232no—
679C22×C22⋊C4—24no—
680C22×C22⋊C4—24no—
681C22×C22⋊C4—24no—
682C22×C22⋊C4—24no—
683C22×C22⋊C4—24no—
684C22×C22⋊C4—24no—
685C22×C22⋊C4—24no—
686C22×C22⋊C4—24no—
687C22×C22⋊C4—24no—
688C22×C22⋊C4—28no—
689C22×C22⋊C4—28no—
690C22×C22⋊C4—28no—
691C22×C22⋊C4—28no—
692C22×C22⋊C4—28no—
693C22×C22⋊C4—24no—
694C22×C22⋊C4—28no—
695C22×C22⋊C4—24no—
696C22×C22⋊C4—24no—
697C22×C22⋊C4—28no—
698C22×C22⋊C4—28no—
699C22×C22⋊C4—28no—
700C22×C22⋊C4—24no—
701C22×C22⋊C4—24no—
702C22×C22⋊C4—24no—
703C22×C22⋊C4—24no—
704C22×C22⋊C4—24no—
705C22×C22⋊C4—28no—
706C22×C22⋊C4—28no—
707C22×C22⋊C4—28no—
708C22×C22⋊C4—28no—
709C22×C22⋊C4—232no—
710C22×C22⋊C4—28no—
711C22×C22⋊C4—232no—
712C22×C22⋊C4—28no—
713C22×C22⋊C4—28no—
714C22×C22⋊C4—232no—
715C22×C22⋊C4—28no—
716C22×C22⋊C4—28no—
717C22×C22⋊C4—28no—
718C22×C22⋊C4—28no—
719C22×C22⋊C4—24no—
720C22×C22⋊C4—24no—
721C22×C22⋊C4—24no—
722C22×C22⋊C4—28no—
723C22×C22⋊C4—28no—
724C22×C22⋊C4—28no—
725C22×C22⋊C4—28no—
726C22×C22⋊C4—232no—
727C22×C22⋊C4—24no—
728C22×C22⋊C4—28no—
729C22×C22⋊C4—28no—
730C22×C22⋊C4—28no—
731C22×C22⋊C4—28no—
732C22×C22⋊C4—28no—
733C22×C22⋊C4—28no—
734C22×C22⋊C4—28no—
735C22×C22⋊C4—28no—
736C22×C22⋊C4—28no—
737C22×C22⋊C4—432no—
738C22×C22⋊C4—44no—
739C22×C22⋊C4—44no—
740C22×C22⋊C4—44no—
741C22×C22⋊C4—44no—
742C22×C22⋊C4—44no—
743C22×C22⋊C4—44no—
744C22×C22⋊C4—416no—
745C22×C22⋊C4—416no—
746C22×C22⋊C4—44no—
747C22×C22⋊C4—44no—
748C22×C22⋊C4—44no—
749C22×C22⋊C4—44no—
750C22×C22⋊C4—44no—
751C22×C22⋊C4—44no—
752C22×C22⋊C4—44no—
753C22×C22⋊C4—44no—
754C22×C22⋊C4—44no—
755C22×C22⋊C4—44no—
756C22×C22⋊C4—44no—
757C22×C22⋊C4—464no—
758C22×C22⋊C4—464no—
759C22×C22⋊C4—464no—
760C22×C22⋊C4—44no—
761C22×C22⋊C4—44no—
762C22×C22⋊C4—44no—
763C22×C22⋊C4—44no—
764C22×C22⋊C4—44no—
765C22×C22⋊C4—44no—
766C22×C22⋊C4—44no—
767C22×C22⋊C4—44no—
768C22×C22⋊C4—44no—
769C22×C22⋊C4—44no—
770C22×C22⋊C4—44no—
771C22×C22⋊C4—44no—
772C22×C22⋊C4—44no—
773C22×C22⋊C4—44no—
774C22×C22⋊C4C2×D418yes—
775C22×C22⋊C4C2×D418yes—
776C22×C22⋊C4#4118yes—
777C22×C22⋊C4C2414yes—
778C22×C22⋊C4C2414yes—
779C22×C22⋊C4C2414yes—
780C22×C22⋊C4C2418yes—
781C22×C22⋊C4C2418yes—
782C22×C22⋊C4C2418yes—
783C22×C22⋊C4C2414yes—
784C22×C22⋊C4C2414yes—
785C22×C22⋊C4C2414yes—
786C22×C22⋊C4C2414yes—
787C22×C22⋊C4C2414yes—
788C22×C22⋊C4C2414yes—
789C22×C22⋊C4C2414yes—
790C22×C22⋊C4C2418yes—
791C22×C22⋊C4C2418yes—
792C22×C22⋊C4C2418yes—
793C22×C22⋊C4C2418yes—
794C22×C22⋊C4C2418yes—
795C22×C22⋊C4C2418yes—
796C22×C22⋊C4C2418yes—
797C22×C22⋊C4C2418yes—
798C22×C22⋊C4C2414yes—
799C22×C22⋊C4C2414yes—
800C22×C22⋊C4C2414yes—
801C22×C22⋊C4C2418yes—
802C22×C22⋊C4C2418yes—
803C22×C22⋊C4C2418yes—
804C22×C22⋊C4C2418yes—
805C22×C22⋊C4C2418yes—
806C22×C22⋊C4C2418yes—
807C22×C22⋊C4C2418yes—
808C22×C22⋊C4C2414yes—
809C22×C22⋊C4C2414yes—
810C22×C22⋊C4C2414yes—
811C22×C22⋊C4C2418yes—
812C22×C22⋊C4C2418yes—
813C22×C42—28no—
814C22×C42—28no—
815C22×C42—24no—
816C22×C42—24no—
817C22×C42—24no—
818C22×C42—24no—
819C22×C42—24no—
820C22×C42—28no—
821C22×C42—28no—
822C22×C42—44no—
823C22×C42—44no—
824C22×C42—44no—
825C22×C42—44no—
826C22×C42C2414yes—
827C22×C42C2418yes—
828C22×C42C2418yes—
829C22×C42C2414yes—
830C22×C42C2414yes—
831#396—264no—
832#394—264no—
833#394—264no—
834#394—432no—
835#392—264no—
836#392—432no—
837#390—432no—
838#388—264no—
839#388—432no—
840#386—264no—
841#386—264no—
842#386—264no—
843#386—264no—
844#386—232no—
845#386—232no—
846#386—232no—
847#386—264no—
848#386—416no—
849#386—416no—
850#385—232no—
851#385—232no—
852#385—232no—
853#385—416no—
854#385—416no—
855#381—232no—
856#381—232no—
857#381—264no—
858#381—416no—
859#380—232no—
860#380—264no—
861#380C2×D4164yescomplemented
862#379—232no—
863#379—232no—
864#379—232no—
865#379—232no—
866#379—232no—
867#379—416no—
868C4×C22⋊C4—232no—
869C4×C22⋊C4—232no—
870C4×C22⋊C4—232no—
871C4×C22⋊C4—232no—
872C4×C22⋊C4—232no—
873C4×C22⋊C4—264no—
874C2×#95—28no—
875C2×#95—28no—
876C2×#95—28no—
877C2×#95—232no—
878C2×#95—28no—
879C2×#95—28no—
880C2×#95—28no—
881C2×#95—232no—
882C2×#95—28no—
883C2×#95—28no—
884C2×#95—28no—
885C2×#95—24no—
886C2×#95—24no—
887C2×#95—24no—
888C2×#95—24no—
889C2×#95—24no—
890C2×#95—24no—
891C2×#95—28no—
892C2×#95—28no—
893C2×#95—28no—
894C2×#95—28no—
895C2×#95—44no—
896C2×#95—44no—
897C2×#95—44no—
898C2×#95—44no—
899C2×#95—44no—
900C2×#95—44no—
901C2×#95—44no—
902C2×#95—44no—
903C2×#95—44no—
904C2×#95—44no—
905C2×#95—44no—
906C2×#95—44no—
907C2×#95C2×D4116yescomplemented
908C2×#95C2418yes—
909C2×#95C2418yes—
910C2×#95C2418yes—
911C2×#95C2418yes—
912C2×#95C2418yes—
913C2×#95C2418yes—
914C2×#95C2414yes—
915C2×#95C2418yes—
916C2×#95C2418yes—
917C2×#95C2414yes—
918C2×#95C2418yes—
919C2×#95C2418yes—
920C2×#95C2418yes—
921C2×#95C2414yes—
922C2×#95C2414yes—
923C2×#95C2414yes—
924C2×#95C2418yes—
925C2×#95C2418yes—
926C2×#95C2414yes—
927C2×#95C2418yes—
928C2×#95C2418yes—
929C2×#95C2418yes—
930C2×#95C2418yes—
931C2×#95C2418yes—
932C2×#95C2418yes—
933C2×#95C2418yes—
934C2×#95C2418yes—
935C2×#95C2418yes—
936C2×#95C2418yes—
937C2×#95C2418yes—
938C2×#95C2418yes—
939C2×#95C2418yes—
940C25—24no—
941C25—24no—
942C25—24no—
943C25—24no—
944C25—264no—
945C25—264no—
946C25—232no—
947C25—232no—
948C25—232no—
949C25—22no—
950C25—22no—
951C25—22no—
952C25—22no—
953C25—22no—
954C25—22no—
955C25—22no—
956C25—22no—
957C25—216no—
958C25—24no—
959C25—24no—
960C25—28no—
961C25—28no—
962C25—22no—
963C25—22no—
964C25—22no—
965C25—22no—
966C25—24no—
967C25—216no—
968C25—24no—
969C25—24no—
970C25—24no—
971C25—232no—
972C25—232no—
973C25—232no—
974C25—24no—
975C25—28no—
976C25—24no—
977C25—22no—
978C25—22no—
979C25—28no—
980C25—24no—
981C25—24no—
982C25—22no—
983C25—24no—
984C25—24no—
985C25—28no—
986C25—28no—
987C25—28no—
988C25—22no—
989C25—216no—
990C25—24no—
991C25—24no—
992C25—24no—
993C25—24no—
994C25—22no—
995C25—24no—
996C25—22no—
997C25—24no—
998C25—24no—
999C25—24no—
1000C25—24no—
1001C25—24no—
1002C25—24no—
1003C25—24no—
1004C25—28no—
1005C25—28no—
1006C25—28no—
1007C25—28no—
1008C25—28no—
1009C25—28no—
1010C25—416no—
1011C25—48no—
1012C25—416no—
1013C25—48no—
1014C25—48no—
1015C25—48no—
1016C25—48no—
1017C25—432no—
1018C25—432no—
1019C25—432no—
1020C25—432no—
1021C25—432no—
1022C25—432no—
1023C25—432no—
1024C25—432no—
1025C25—432no—
1026C25—432no—
1027C25—432no—
1028C25—432no—
1029C25—432no—
1030C25—432no—
1031C25—432no—
1032C25—432no—
1033C25—416no—
1034C25—416no—
1035C25—416no—
1036C25—416no—
1037C25—416no—
1038C25—416no—
1039C25—416no—
1040C25—416no—
1041C25—416no—
1042C25—416no—
1043C25—416no—
1044C25—416no—
1045C25—416no—
1046C25—416no—
1047C25—816no—
1048C25—816no—
1049C25—816no—
1050C25—816no—
1051C25—816no—
1052C25—816no—
1053C25C22×D414yes—
1054C25C22×D414yes—
1055C25C22×D4116yes—
1056C25C22×D414yes—
1057C25C22×D414yes—
1058C25C2×#4118yes—
1059C25C2×#4114yes—
1060C25C2×#4118yes—
1061C25C2×#4114yes—
1062C25C2×#4114yes—
1063C25C2×#4114yes—
1064C25H(5,𝔽2)18yes—
1065C25H(5,𝔽2)14yes—
1066C25H(5,𝔽2)14yes—
1067C25C2514yes—
1068C25C2512yes—
1069C25C2512yes—
1070C25C2512yes—
1071C25C2512yes—
1072C25C2511yescharacteristic
1073C22×D4—232no—
1074C22×D4—232no—
1075C22×D4—2256no—
1076C22×D4—264no—
1077C22×D4—232no—
1078C22×D4—264no—
1079C22×D4—232no—
1080C22×D4—232no—
1081C22×D4—28no—
1082C22×D4—28no—
1083C22×D4—28no—
1084C22×D4—28no—
1085C22×D4—216no—
1086C22×D4—216no—
1087C22×D4—28no—
1088C22×D4—28no—
1089C22×D4—28no—
1090C22×D4—28no—
1091C22×D4—216no—
1092C22×D4—216no—
1093C22×D4—28no—
1094C22×D4—28no—
1095C22×D4—216no—
1096C22×D4—216no—
1097C22×D4—216no—
1098C22×D4—216no—
1099C22×D4—216no—
1100C22×D4—216no—
1101C22×D4—216no—
1102C22×D4—28no—
1103C22×D4—28no—
1104C22×D4—216no—
1105C22×D4—48no—
1106C22×D4—432no—
1107C22×D4—432no—
1108C22×D4—48no—
1109C22×D4—48no—
1110C22×D4—48no—
1111C22×D4—48no—
1112C22×D4—48no—
1113C22×D4—48no—
1114C22×D4—48no—
1115C22×D4—432no—
1116C22×D4—432no—
1117C22×D4—432no—
1118C22×D4—432no—
1119C22×D4—48no—
1120C22×D4—48no—
1121C22×D4—48no—
1122C22×D4—432no—
1123C22×D4—432no—
1124C22×D4—48no—
1125C22×D4—432no—
1126C22×D4—432no—
1127C22×D4—432no—
1128C22×D4—432no—
1129C22×D4—416no—
1130C22×D4—416no—
1131C22×D4—4256no—
1132C22×D4—4256no—
1133C22×D4—41024no—
1134C22×D4—4128no—
1135C22×D4—432no—
1136C22×D4—4128no—
1137C22×D4—432no—
1138C22×D4—432no—
1139C22×D4—432no—
1140C22×D4—432no—
1141C22×D4—416no—
1142C22×D4—416no—
1143C22×D4—416no—
1144C22×D4—432no—
1145C22×D4—416no—
1146C22×D4—416no—
1147C22×D4—416no—
1148C22×D4—432no—
1149C22×D4—816no—
1150C22×D4—816no—
1151C22×D4—816no—
1152C22×D4—816no—
1153C22×D4C2×#41116yes—
1154C22×D4C2×#41132yes—
1155C23×C4—264no—
1156C23×C4—264no—
1157C23×C4—232no—
1158C23×C4—22no—
1159C23×C4—22no—
1160C23×C4—24no—
1161C23×C4—24no—
1162C23×C4—216no—
1163C23×C4—24no—
1164C23×C4—24no—
1165C23×C4—24no—
1166C23×C4—232no—
1167C23×C4—232no—
1168C23×C4—28no—
1169C23×C4—28no—
1170C23×C4—216no—
1171C23×C4—232no—
1172C23×C4—232no—
1173C23×C4—232no—
1174C23×C4—22no—
1175C23×C4—22no—
1176C23×C4—22no—
1177C23×C4—22no—
1178C23×C4—22no—
1179C23×C4—28no—
1180C23×C4—28no—
1181C23×C4—24no—
1182C23×C4—24no—
1183C23×C4—24no—
1184C23×C4—22no—
1185C23×C4—22no—
1186C23×C4—22no—
1187C23×C4—24no—
1188C23×C4—24no—
1189C23×C4—24no—
1190C23×C4—22no—
1191C23×C4—28no—
1192C23×C4—22no—
1193C23×C4—24no—
1194C23×C4—24no—
1195C23×C4—24no—
1196C23×C4—24no—
1197C23×C4—24no—
1198C23×C4—22no—
1199C23×C4—24no—
1200C23×C4—24no—
1201C23×C4—24no—
1202C23×C4—24no—
1203C23×C4—24no—
1204C23×C4—24no—
1205C23×C4—24no—
1206C23×C4—24no—
1207C23×C4—24no—
1208C23×C4—24no—
1209C23×C4—216no—
1210C23×C4—22no—
1211C23×C4—24no—
1212C23×C4—24no—
1213C23×C4—24no—
1214C23×C4—232no—
1215C23×C4—232no—
1216C23×C4—232no—
1217C23×C4—2256no—
1218C23×C4—232no—
1219C23×C4—232no—
1220C23×C4—28no—
1221C23×C4—28no—
1222C23×C4—28no—
1223C23×C4—28no—
1224C23×C4—28no—
1225C23×C4—28no—
1226C23×C4—216no—
1227C23×C4—216no—
1228C23×C4—216no—
1229C23×C4—28no—
1230C23×C4—28no—
1231C23×C4—24no—
1232C23×C4—24no—
1233C23×C4—22no—
1234C23×C4—22no—
1235C23×C4—22no—
1236C23×C4—22no—
1237C23×C4—22no—
1238C23×C4—24no—
1239C23×C4—22no—
1240C23×C4—24no—
1241C23×C4—24no—
1242C23×C4—28no—
1243C23×C4—24no—
1244C23×C4—24no—
1245C23×C4—24no—
1246C23×C4—28no—
1247C23×C4—24no—
1248C23×C4—24no—
1249C23×C4—24no—
1250C23×C4—22no—
1251C23×C4—22no—
1252C23×C4—24no—
1253C23×C4—24no—
1254C23×C4—28no—
1255C23×C4—24no—
1256C23×C4—28no—
1257C23×C4—24no—
1258C23×C4—24no—
1259C23×C4—24no—
1260C23×C4—24no—
1261C23×C4—24no—
1262C23×C4—22no—
1263C23×C4—22no—
1264C23×C4—24no—
1265C23×C4—24no—
1266C23×C4—24no—
1267C23×C4—24no—
1268C23×C4—22no—
1269C23×C4—22no—
1270C23×C4—24no—
1271C23×C4—24no—
1272C23×C4—24no—
1273C23×C4—24no—
1274C23×C4—24no—
1275C23×C4—24no—
1276C23×C4—28no—
1277C23×C4—24no—
1278C23×C4—28no—
1279C23×C4—28no—
1280C23×C4—28no—
1281C23×C4—24no—
1282C23×C4—24no—
1283C23×C4—24no—
1284C23×C4—24no—
1285C23×C4—24no—
1286C23×C4—24no—
1287C23×C4—28no—
1288C23×C4—28no—
1289C23×C4—28no—
1290C23×C4—28no—
1291C23×C4—28no—
1292C23×C4—4128no—
1293C23×C4—416no—
1294C23×C4—416no—
1295C23×C4—416no—
1296C23×C4—416no—
1297C23×C4—416no—
1298C23×C4—416no—
1299C23×C4—416no—
1300C23×C4—432no—
1301C23×C4—4128no—
1302C23×C4—432no—
1303C23×C4—48no—
1304C23×C4—48no—
1305C23×C4—48no—
1306C23×C4—48no—
1307C23×C4—48no—
1308C23×C4—48no—
1309C23×C4—48no—
1310C23×C4—48no—
1311C23×C4—432no—
1312C23×C4—432no—
1313C23×C4—48no—
1314C23×C4—48no—
1315C23×C4—48no—
1316C23×C4—48no—
1317C23×C4—432no—
1318C23×C4—432no—
1319C23×C4—432no—
1320C23×C4—432no—
1321C23×C4—432no—
1322C23×C4—432no—
1323C23×C4—4256no—
1324C23×C4—41024no—
1325C23×C4—4256no—
1326C23×C4—432no—
1327C23×C4—432no—
1328C23×C4—416no—
1329C23×C4—416no—
1330C23×C4—416no—
1331C23×C4—416no—
1332C23×C4—416no—
1333C23×C4—416no—
1334C23×C4—416no—
1335C23×C4—416no—
1336C23×C4—416no—
1337C23×C4—416no—
1338C23×C4—416no—
1339C23×C4—416no—
1340C23×C4—416no—
1341C23×C4—416no—
1342C23×C4—416no—
1343C23×C4—816no—
1344C23×C4—816no—
1345C23×C4—816no—
1346C23×C4—816no—
1347C23×C4#121164yes—
1348C23×C4C22×D418yes—
1349C23×C4C22×D418yes—
1350C23×C4C22×D414yes—
1351C23×C4C22×D4116yes—
1352C23×C4C22×D4116yes—
1353C23×C4C22×D4116yes—
1354C23×C4C22×D4116yes—
1355C23×C4C22×D414yes—
1356C23×C4C22×D414yes—
1357C23×C4C22×D414yes—
1358C23×C4C22×D414yes—
1359C23×C4C22×D414yes—
1360C23×C4C22×D4116yes—
1361C23×C4C22×D4116yes—
1362C23×C4C22×D4116yes—
1363C23×C4C2×#4114yes—
1364C23×C4C2×#4114yes—
1365C23×C4C2×#4114yes—
1366C23×C4C2×#4118yes—
1367C23×C4C2×#4114yes—
1368C23×C4C2×#4114yes—
1369C23×C4C2×#41116yes—
1370C23×C4H(5,𝔽2)18yes—
1371C23×C4C2512yes—
1372C23×C4C2512yes—
1373C23×C4C2514yes—
1374C23×C4C2514yes—
1375C23×C4C2512yes—
1376C23×C4C2512yes—
1377C23×C4C2514yes—
1378C23×C4C2514yes—
1379C23×C4C2514yes—
1380C23×C4C2514yes—
1381C23×C4C2512yes—
1382C23×C4C2512yes—
1383C23×C4C2512yes—
1384C23×C4C2512yes—
1385C23×C4C2514yes—
1386C23×C4C2512yes—
1387C23×C4C2512yes—
1388C23×C4C2512yes—
1389#123—4128no—
1390#120—2256no—
1391#120—4128no—
1392C4×D4—4128no—
1393C4×D4—4128no—
1394C4×D4—4128no—
1395#117—4256no—
1396C2×C4⋊C4—216no—
1397C2×C4⋊C4—28no—
1398C2×C4⋊C4—28no—
1399C2×C4⋊C4—28no—
1400C2×C4⋊C4—28no—
1401C2×C4⋊C4—216no—
1402C2×C4⋊C4—28no—
1403C2×C4⋊C4—216no—
1404C2×C4⋊C4—216no—
1405C2×C4⋊C4—216no—
1406C2×C4⋊C4—432no—
1407C2×C4⋊C4—48no—
1408C2×C4⋊C4—48no—
1409C2×C4⋊C4—48no—
1410C2×C4⋊C4—48no—
1411C2×C4⋊C4—48no—
1412C2×C4⋊C4—48no—
1413C2×C4⋊C4—432no—
1414C2×C4⋊C4—432no—
1415C2×C4⋊C4—416no—
1416C2×C4⋊C4—416no—
1417C2×C4⋊C4—416no—
1418C2×C4⋊C4—48no—
1419C2×C4⋊C4—48no—
1420C2×C4⋊C4—48no—
1421C2×C4⋊C4—48no—
1422C2×C4⋊C4—48no—
1423C2×C4⋊C4—816no—
1424C2×C4⋊C4—816no—
1425C2×C4⋊C4C22×D4132yescomplemented
1426C2×C22⋊C4—232no—
1427C2×C22⋊C4—232no—
1428C2×C22⋊C4—232no—
1429C2×C22⋊C4—232no—
1430C2×C22⋊C4—232no—
1431C2×C22⋊C4—28no—
1432C2×C22⋊C4—28no—
1433C2×C22⋊C4—28no—
1434C2×C22⋊C4—28no—
1435C2×C22⋊C4—28no—
1436C2×C22⋊C4—28no—
1437C2×C22⋊C4—28no—
1438C2×C22⋊C4—28no—
1439C2×C22⋊C4—28no—
1440C2×C22⋊C4—28no—
1441C2×C22⋊C4—28no—
1442C2×C22⋊C4—28no—
1443C2×C22⋊C4—216no—
1444C2×C22⋊C4—216no—
1445C2×C22⋊C4—28no—
1446C2×C22⋊C4—28no—
1447C2×C22⋊C4—28no—
1448C2×C22⋊C4—28no—
1449C2×C22⋊C4—28no—
1450C2×C22⋊C4—28no—
1451C2×C22⋊C4—28no—
1452C2×C22⋊C4—28no—
1453C2×C22⋊C4—28no—
1454C2×C22⋊C4—28no—
1455C2×C22⋊C4—216no—
1456C2×C22⋊C4—28no—
1457C2×C22⋊C4—28no—
1458C2×C22⋊C4—216no—
1459C2×C22⋊C4—216no—
1460C2×C22⋊C4—216no—
1461C2×C22⋊C4—216no—
1462C2×C22⋊C4—216no—
1463C2×C22⋊C4—216no—
1464C2×C22⋊C4—216no—
1465C2×C22⋊C4—216no—
1466C2×C22⋊C4—28no—
1467C2×C22⋊C4—28no—
1468C2×C22⋊C4—28no—
1469C2×C22⋊C4—28no—
1470C2×C22⋊C4—216no—
1471C2×C22⋊C4—216no—
1472C2×C22⋊C4—216no—
1473C2×C22⋊C4—216no—
1474C2×C22⋊C4—216no—
1475C2×C22⋊C4—216no—
1476C2×C22⋊C4—216no—
1477C2×C22⋊C4—216no—
1478C2×C22⋊C4—28no—
1479C2×C22⋊C4—28no—
1480C2×C22⋊C4—28no—
1481C2×C22⋊C4—28no—
1482C2×C22⋊C4—216no—
1483C2×C22⋊C4—216no—
1484C2×C22⋊C4—216no—
1485C2×C22⋊C4—216no—
1486C2×C22⋊C4—216no—
1487C2×C22⋊C4—216no—
1488C2×C22⋊C4—216no—
1489C2×C22⋊C4—28no—
1490C2×C22⋊C4—216no—
1491C2×C22⋊C4—216no—
1492C2×C22⋊C4—216no—
1493C2×C22⋊C4—216no—
1494C2×C22⋊C4—216no—
1495C2×C22⋊C4—216no—
1496C2×C22⋊C4—216no—
1497C2×C22⋊C4—216no—
1498C2×C22⋊C4—216no—
1499C2×C22⋊C4—48no—
1500C2×C22⋊C4—48no—
1501C2×C22⋊C4—48no—
1502C2×C22⋊C4—48no—
1503C2×C22⋊C4—48no—
1504C2×C22⋊C4—48no—
1505C2×C22⋊C4—48no—
1506C2×C22⋊C4—48no—
1507C2×C22⋊C4—48no—
1508C2×C22⋊C4—48no—
1509C2×C22⋊C4—48no—
1510C2×C22⋊C4—48no—
1511C2×C22⋊C4—48no—
1512C2×C22⋊C4—48no—
1513C2×C22⋊C4—48no—
1514C2×C22⋊C4—48no—
1515C2×C22⋊C4—48no—
1516C2×C22⋊C4—432no—
1517C2×C22⋊C4—432no—
1518C2×C22⋊C4—432no—
1519C2×C22⋊C4—432no—
1520C2×C22⋊C4—432no—
1521C2×C22⋊C4—432no—
1522C2×C22⋊C4—432no—
1523C2×C22⋊C4—432no—
1524C2×C22⋊C4—432no—
1525C2×C22⋊C4—4128no—
1526C2×C22⋊C4—416no—
1527C2×C22⋊C4—416no—
1528C2×C22⋊C4—4128no—
1529C2×C22⋊C4—432no—
1530C2×C22⋊C4—432no—
1531C2×C22⋊C4—416no—
1532C2×C22⋊C4—416no—
1533C2×C22⋊C4—416no—
1534C2×C22⋊C4—416no—
1535C2×C22⋊C4—416no—
1536C2×C22⋊C4—416no—
1537C2×C22⋊C4—416no—
1538C2×C22⋊C4—432no—
1539C2×C22⋊C4—432no—
1540C2×C22⋊C4—4128no—
1541C2×C22⋊C4—416no—
1542C2×C22⋊C4—432no—
1543C2×C22⋊C4—416no—
1544C2×C22⋊C4—48no—
1545C2×C22⋊C4—48no—
1546C2×C22⋊C4—48no—
1547C2×C22⋊C4—48no—
1548C2×C22⋊C4—48no—
1549C2×C22⋊C4—48no—
1550C2×C22⋊C4—48no—
1551C2×C22⋊C4—48no—
1552C2×C22⋊C4—48no—
1553C2×C22⋊C4—48no—
1554C2×C22⋊C4—48no—
1555C2×C22⋊C4—48no—
1556C2×C22⋊C4—48no—
1557C2×C22⋊C4—48no—
1558C2×C22⋊C4—816no—
1559C2×C22⋊C4—816no—
1560C2×C22⋊C4—816no—
1561C2×C22⋊C4—816no—
1562C2×C22⋊C4—816no—
1563C2×C22⋊C4—816no—
1564C2×C22⋊C4C22×D4116yes—
1565C2×C22⋊C4C22×D4116yes—
1566C2×C22⋊C4C2×#41116yes—
1567C2×C42—216no—
1568C2×C42—216no—
1569C2×C42—28no—
1570C2×C42—28no—
1571C2×C42—28no—
1572C2×C42—28no—
1573C2×C42—28no—
1574C2×C42—216no—
1575C2×C42—216no—
1576C2×C42—48no—
1577C2×C42—48no—
1578C2×C42—48no—
1579C2×C42—48no—
1580C2×C42—432no—
1581C2×C42—432no—
1582C2×C42—416no—
1583C2×C42—416no—
1584C2×C42—416no—
1585#95—216no—
1586#95—216no—
1587#95—216no—
1588#95—216no—
1589#95—216no—
1590#95—216no—
1591#95—216no—
1592#95—28no—
1593#95—28no—
1594#95—28no—
1595#95—28no—
1596#95—28no—
1597#95—28no—
1598#95—216no—
1599#95—216no—
1600#95—216no—
1601#95—216no—
1602#95—216no—
1603#95—216no—
1604#95—48no—
1605#95—48no—
1606#95—48no—
1607#95—48no—
1608#95—48no—
1609#95—48no—
1610#95—48no—
1611#95—48no—
1612#95—48no—
1613#95—48no—
1614#95—48no—
1615#95—48no—
1616#95C22×D4132yescomplemented
1617C24—24no—
1618C24—24no—
1619C24—24no—
1620C24—24no—
1621C24—28no—
1622C24—28no—
1623C24—28no—
1624C24—28no—
1625C24—216no—
1626C24—216no—
1627C24—216no—
1628C24—216no—
1629C24—216no—
1630C24—216no—
1631C24—216no—
1632C24—216no—
1633C24—216no—
1634C24—216no—
1635C24—216no—
1636C24—216no—
1637C24—264no—
1638C24—264no—
1639C24—2256no—
1640C24—22no—
1641C24—22no—
1642C24—22no—
1643C24—22no—
1644C24—22no—
1645C24—22no—
1646C24—22no—
1647C24—22no—
1648C24—24no—
1649C24—24no—
1650C24—22no—
1651C24—22no—
1652C24—22no—
1653C24—22no—
1654C24—24no—
1655C24—24no—
1656C24—24no—
1657C24—24no—
1658C24—28no—
1659C24—28no—
1660C24—28no—
1661C24—28no—
1662C24—232no—
1663C24—28no—
1664C24—28no—
1665C24—28no—
1666C24—232no—
1667C24—28no—
1668C24—232no—
1669C24—28no—
1670C24—28no—
1671C24—28no—
1672C24—28no—
1673C24—216no—
1674C24—216no—
1675C24—216no—
1676C24—216no—
1677C24—216no—
1678C24—216no—
1679C24—216no—
1680C24—216no—
1681C24—216no—
1682C24—216no—
1683C24—216no—
1684C24—216no—
1685C24—232no—
1686C24—24no—
1687C24—24no—
1688C24—22no—
1689C24—22no—
1690C24—24no—
1691C24—24no—
1692C24—22no—
1693C24—24no—
1694C24—24no—
1695C24—22no—
1696C24—24no—
1697C24—24no—
1698C24—24no—
1699C24—24no—
1700C24—22no—
1701C24—24no—
1702C24—22no—
1703C24—24no—
1704C24—24no—
1705C24—24no—
1706C24—24no—
1707C24—24no—
1708C24—24no—
1709C24—24no—
1710C24—232no—
1711C24—232no—
1712C24—28no—
1713C24—216no—
1714C24—28no—
1715C24—216no—
1716C24—28no—
1717C24—216no—
1718C24—216no—
1719C24—216no—
1720C24—216no—
1721C24—216no—
1722C24—216no—
1723C24—216no—
1724C24—416no—
1725C24—416no—
1726C24—432no—
1727C24—432no—
1728C24—4128no—
1729C24—432no—
1730C24—432no—
1731C24—4128no—
1732C24—4128no—
1733C24—432no—
1734C24—432no—
1735C24—4128no—
1736C24—432no—
1737C24—432no—
1738C24—432no—
1739C24—432no—
1740C24—432no—
1741C24—432no—
1742C24—432no—
1743C24—432no—
1744C24—4256no—
1745C24—4128no—
1746C24—4256no—
1747C24—4256no—
1748C24—4256no—
1749C24—432no—
1750C24—432no—
1751C24—416no—
1752C24—416no—
1753C24—4128no—
1754C24—4128no—
1755C24—4128no—
1756C24—416no—
1757C24—4128no—
1758C24—416no—
1759C24—44no—
1760C24—44no—
1761C24—416no—
1762C24—44no—
1763C24—44no—
1764C24—48no—
1765C24—416no—
1766C24—44no—
1767C24—44no—
1768C24—416no—
1769C24—44no—
1770C24—44no—
1771C24—48no—
1772C24—48no—
1773C24—48no—
1774C24—48no—
1775C24—48no—
1776C24—48no—
1777C24—48no—
1778C24—48no—
1779C24—48no—
1780C24—48no—
1781C24—48no—
1782C24—416no—
1783C24—48no—
1784C24—44no—
1785C24—44no—
1786C24—416no—
1787C24—48no—
1788C24—48no—
1789C24—44no—
1790C24—44no—
1791C24—48no—
1792C24—416no—
1793C24—48no—
1794C24—44no—
1795C24—44no—
1796C24—48no—
1797C24—48no—
1798C24—44no—
1799C24—48no—
1800C24—48no—
1801C24—48no—
1802C24—48no—
1803C24—44no—
1804C24—48no—
1805C24—48no—
1806C24—48no—
1807C24—48no—
1808C24—48no—
1809C24—48no—
1810C24—48no—
1811C24—48no—
1812C24—48no—
1813C24—48no—
1814C24—48no—
1815C24—48no—
1816C24—48no—
1817C24—48no—
1818C24—48no—
1819C24—48no—
1820C24—48no—
1821C24—48no—
1822C24—48no—
1823C24—48no—
1824C24—48no—
1825C24—48no—
1826C24—48no—
1827C24—48no—
1828C24—48no—
1829C24—48no—
1830C24—48no—
1831C24—416no—
1832C24—416no—
1833C24—416no—
1834C24—416no—
1835C24—816no—
1836C24—816no—
1837C24—816no—
1838C24—816no—
1839C24—816no—
1840C24—816no—
1841C24—8128no—
1842C24—8128no—
1843C24—8128no—
1844C24—8128no—
1845C24—864no—
1846C24—864no—
1847C24—864no—
1848C24—864no—
1849C24C2×#121116yes—
1850C24#525116yes—
1851C24#525116yes—
1852C24#534116yes—
1853C24#535116yes—
1854C24#546116yes—
1855C24#550116yes—
1856C24#553116yes—
1857C24#555116yes—
1858C24C23×D414yes—
1859C24C23×D414yes—
1860C24C23×D414yes—
1861C24C23×D414yes—
1862C24C23×D412yes—
1863C24C23×D412yes—
1864C24C22×#4118yes—
1865C24C22×#4114yes—
1866C24C22×#4118yes—
1867C24C22×#4114yes—
1868C24C22×#4114yes—
1869C24C22×#4114yes—
1870C24C22×#4112yes—
1871C24C22×#4112yes—
1872C24C22×#4112yes—
1873C24C22×#4114yes—
1874C24C2×H(5,𝔽2)18yes—
1875C24C2×H(5,𝔽2)14yes—
1876C24C2×H(5,𝔽2)14yes—
1877C24C2×H(5,𝔽2)14yes—
1878C24C2×H(5,𝔽2)14yes—
1879C24C2×H(5,𝔽2)12yes—
1880C24C2×H(5,𝔽2)12yes—
1881C24#58514yes—
1882C24C2611yescharacteristic
1883C2×D4—232no—
1884C2×D4—232no—
1885C2×D4—264no—
1886C2×D4—232no—
1887C2×D4—264no—
1888C2×D4—232no—
1889C2×D4—232no—
1890C2×D4—432no—
1891C2×D4—432no—
1892C2×D4—432no—
1893C2×D4—432no—
1894C2×D4—432no—
1895C2×D4—432no—
1896C2×D4—432no—
1897C2×D4—432no—
1898C2×D4—432no—
1899C2×D4—432no—
1900C2×D4—432no—
1901C2×D4—432no—
1902C2×D4—416no—
1903C2×D4—4128no—
1904C2×D4—416no—
1905C2×D4—4128no—
1906C2×D4—41024no—
1907C2×D4—432no—
1908C2×D4—432no—
1909C2×D4—432no—
1910C2×D4—432no—
1911C2×D4—432no—
1912C2×D4—4256no—
1913C2×D4—4256no—
1914C2×D4—416no—
1915C2×D4—416no—
1916C2×D4—4128no—
1917C2×D4—416no—
1918C2×D4—432no—
1919C2×D4—416no—
1920C2×D4—416no—
1921C2×D4—416no—
1922C2×D4—432no—
1923C2×D4—816no—
1924C2×D4—816no—
1925C2×D4—816no—
1926C2×D4—8128no—
1927C2×D4—816no—
1928C22×C4—264no—
1929C22×C4—264no—
1930C22×C4—2256no—
1931C22×C4—22no—
1932C22×C4—22no—
1933C22×C4—24no—
1934C22×C4—24no—
1935C22×C4—24no—
1936C22×C4—24no—
1937C22×C4—24no—
1938C22×C4—28no—
1939C22×C4—28no—
1940C22×C4—28no—
1941C22×C4—232no—
1942C22×C4—28no—
1943C22×C4—28no—
1944C22×C4—28no—
1945C22×C4—216no—
1946C22×C4—216no—
1947C22×C4—216no—
1948C22×C4—216no—
1949C22×C4—216no—
1950C22×C4—216no—
1951C22×C4—232no—
1952C22×C4—232no—
1953C22×C4—232no—
1954C22×C4—22no—
1955C22×C4—24no—
1956C22×C4—22no—
1957C22×C4—22no—
1958C22×C4—22no—
1959C22×C4—22no—
1960C22×C4—24no—
1961C22×C4—24no—
1962C22×C4—22no—
1963C22×C4—24no—
1964C22×C4—24no—
1965C22×C4—22no—
1966C22×C4—22no—
1967C22×C4—22no—
1968C22×C4—24no—
1969C22×C4—22no—
1970C22×C4—24no—
1971C22×C4—22no—
1972C22×C4—24no—
1973C22×C4—24no—
1974C22×C4—24no—
1975C22×C4—24no—
1976C22×C4—24no—
1977C22×C4—24no—
1978C22×C4—24no—
1979C22×C4—24no—
1980C22×C4—24no—
1981C22×C4—24no—
1982C22×C4—24no—
1983C22×C4—24no—
1984C22×C4—22no—
1985C22×C4—24no—
1986C22×C4—24no—
1987C22×C4—24no—
1988C22×C4—24no—
1989C22×C4—24no—
1990C22×C4—232no—
1991C22×C4—28no—
1992C22×C4—28no—
1993C22×C4—28no—
1994C22×C4—28no—
1995C22×C4—216no—
1996C22×C4—28no—
1997C22×C4—28no—
1998C22×C4—232no—
1999C22×C4—216no—
2000C22×C4—216no—
2001C22×C4—28no—
2002C22×C4—216no—
2003C22×C4—216no—
2004C22×C4—28no—
2005C22×C4—216no—
2006C22×C4—216no—
2007C22×C4—216no—
2008C22×C4—216no—
2009C22×C4—216no—
2010C22×C4—216no—
2011C22×C4—232no—
2012C22×C4—232no—
2013C22×C4—232no—
2014C22×C4—232no—
2015C22×C4—232no—
2016C22×C4—22no—
2017C22×C4—22no—
2018C22×C4—22no—
2019C22×C4—22no—
2020C22×C4—24no—
2021C22×C4—24no—
2022C22×C4—24no—
2023C22×C4—24no—
2024C22×C4—22no—
2025C22×C4—24no—
2026C22×C4—22no—
2027C22×C4—24no—
2028C22×C4—24no—
2029C22×C4—24no—
2030C22×C4—24no—
2031C22×C4—22no—
2032C22×C4—24no—
2033C22×C4—24no—
2034C22×C4—24no—
2035C22×C4—24no—
2036C22×C4—22no—
2037C22×C4—24no—
2038C22×C4—24no—
2039C22×C4—22no—
2040C22×C4—22no—
2041C22×C4—24no—
2042C22×C4—22no—
2043C22×C4—22no—
2044C22×C4—24no—
2045C22×C4—24no—
2046C22×C4—24no—
2047C22×C4—24no—
2048C22×C4—24no—
2049C22×C4—24no—
2050C22×C4—24no—
2051C22×C4—24no—
2052C22×C4—24no—
2053C22×C4—24no—
2054C22×C4—24no—
2055C22×C4—24no—
2056C22×C4—24no—
2057C22×C4—24no—
2058C22×C4—24no—
2059C22×C4—24no—
2060C22×C4—24no—
2061C22×C4—24no—
2062C22×C4—24no—
2063C22×C4—24no—
2064C22×C4—4128no—
2065C22×C4—432no—
2066C22×C4—416no—
2067C22×C4—416no—
2068C22×C4—416no—
2069C22×C4—416no—
2070C22×C4—416no—
2071C22×C4—416no—
2072C22×C4—416no—
2073C22×C4—432no—
2074C22×C4—432no—
2075C22×C4—432no—
2076C22×C4—4128no—
2077C22×C4—432no—
2078C22×C4—432no—
2079C22×C4—432no—
2080C22×C4—432no—
2081C22×C4—4128no—
2082C22×C4—4128no—
2083C22×C4—432no—
2084C22×C4—432no—
2085C22×C4—41024no—
2086C22×C4—432no—
2087C22×C4—432no—
2088C22×C4—4128no—
2089C22×C4—416no—
2090C22×C4—416no—
2091C22×C4—416no—
2092C22×C4—4128no—
2093C22×C4—44no—
2094C22×C4—44no—
2095C22×C4—44no—
2096C22×C4—44no—
2097C22×C4—48no—
2098C22×C4—416no—
2099C22×C4—48no—
2100C22×C4—44no—
2101C22×C4—44no—
2102C22×C4—44no—
2103C22×C4—44no—
2104C22×C4—48no—
2105C22×C4—48no—
2106C22×C4—48no—
2107C22×C4—48no—
2108C22×C4—48no—
2109C22×C4—48no—
2110C22×C4—48no—
2111C22×C4—48no—
2112C22×C4—48no—
2113C22×C4—48no—
2114C22×C4—48no—
2115C22×C4—48no—
2116C22×C4—48no—
2117C22×C4—48no—
2118C22×C4—416no—
2119C22×C4—416no—
2120C22×C4—44no—
2121C22×C4—416no—
2122C22×C4—48no—
2123C22×C4—44no—
2124C22×C4—44no—
2125C22×C4—44no—
2126C22×C4—416no—
2127C22×C4—48no—
2128C22×C4—44no—
2129C22×C4—44no—
2130C22×C4—48no—
2131C22×C4—44no—
2132C22×C4—44no—
2133C22×C4—416no—
2134C22×C4—48no—
2135C22×C4—416no—
2136C22×C4—48no—
2137C22×C4—44no—
2138C22×C4—44no—
2139C22×C4—44no—
2140C22×C4—44no—
2141C22×C4—48no—
2142C22×C4—48no—
2143C22×C4—416no—
2144C22×C4—48no—
2145C22×C4—48no—
2146C22×C4—416no—
2147C22×C4—48no—
2148C22×C4—48no—
2149C22×C4—48no—
2150C22×C4—48no—
2151C22×C4—416no—
2152C22×C4—48no—
2153C22×C4—416no—
2154C22×C4—48no—
2155C22×C4—48no—
2156C22×C4—48no—
2157C22×C4—48no—
2158C22×C4—48no—
2159C22×C4—48no—
2160C22×C4—48no—
2161C22×C4—48no—
2162C22×C4—48no—
2163C22×C4—48no—
2164C22×C4—48no—
2165C22×C4—48no—
2166C22×C4—48no—
2167C22×C4—48no—
2168C22×C4—48no—
2169C22×C4—48no—
2170C22×C4—48no—
2171C22×C4—48no—
2172C22×C4—48no—
2173C22×C4—48no—
2174C22×C4—48no—
2175C22×C4—48no—
2176C22×C4—416no—
2177C22×C4—816no—
2178C22×C4—816no—
2179C22×C4—864no—
2180C22×C4—816no—
2181C22×C4—816no—
2182C22×C4—864no—
2183C22×C4—864no—
2184C22×C4C2×#121116yes—
2185C22×C4C2×#121116yes—
2186C22×C4C2×#121164yes—
2187C22×C4#534116yes—
2188C22×C4C23×D414yes—
2189C22×C4C23×D418yes—
2190C22×C4C23×D418yes—
2191C22×C4C23×D414yes—
2192C22×C4C23×D414yes—
2193C22×C4C23×D414yes—
2194C22×C4C23×D414yes—
2195C22×C4C23×D414yes—
2196C22×C4C22×#4114yes—
2197C22×C4C22×#4114yes—
2198C22×C4C22×#4118yes—
2199C22×C4C22×#4114yes—
2200C22×C4C22×#4114yes—
2201C22×C4C22×#4114yes—
2202C22×C4C2×H(5,𝔽2)18yes—
2203C4⋊C4—432no—
2204C4⋊C4—432no—
2205C4⋊C4—432no—
2206C4⋊C4—416no—
2207C4⋊C4—416no—
2208C4⋊C4—416no—
2209C4⋊C4—816no—
2210C4⋊C4—816no—
2211C22⋊C4—232no—
2212C22⋊C4—232no—
2213C22⋊C4—232no—
2214C22⋊C4—232no—
2215C22⋊C4—232no—
2216C22⋊C4—432no—
2217C22⋊C4—432no—
2218C22⋊C4—432no—
2219C22⋊C4—432no—
2220C22⋊C4—432no—
2221C22⋊C4—432no—
2222C22⋊C4—432no—
2223C22⋊C4—432no—
2224C22⋊C4—432no—
2225C22⋊C4—416no—
2226C22⋊C4—416no—
2227C22⋊C4—432no—
2228C22⋊C4—432no—
2229C22⋊C4—416no—
2230C22⋊C4—416no—
2231C22⋊C4—416no—
2232C22⋊C4—416no—
2233C22⋊C4—416no—
2234C22⋊C4—416no—
2235C22⋊C4—416no—
2236C22⋊C4—432no—
2237C22⋊C4—432no—
2238C22⋊C4—416no—
2239C22⋊C4—432no—
2240C22⋊C4—416no—
2241C22⋊C4—816no—
2242C22⋊C4—816no—
2243C22⋊C4—816no—
2244C22⋊C4—816no—
2245C22⋊C4—816no—
2246C22⋊C4—816no—
2247C42—432no—
2248C42—432no—
2249C42—416no—
2250C42—416no—
2251C42—416no—
2252C23—28no—
2253C23—28no—
2254C23—28no—
2255C23—28no—
2256C23—28no—
2257C23—28no—
2258C23—264no—
2259C23—232no—
2260C23—264no—
2261C23—232no—
2262C23—264no—
2263C23—232no—
2264C23—264no—
2265C23—232no—
2266C23—24no—
2267C23—24no—
2268C23—24no—
2269C23—24no—
2270C23—232no—
2271C23—28no—
2272C23—28no—
2273C23—232no—
2274C23—28no—
2275C23—28no—
2276C23—28no—
2277C23—28no—
2278C23—2128no—
2279C23—28no—
2280C23—28no—
2281C23—28no—
2282C23—28no—
2283C23—28no—
2284C23—28no—
2285C23—28no—
2286C23—28no—
2287C23—232no—
2288C23—232no—
2289C23—232no—
2290C23—24no—
2291C23—24no—
2292C23—24no—
2293C23—24no—
2294C23—24no—
2295C23—24no—
2296C23—24no—
2297C23—24no—
2298C23—24no—
2299C23—24no—
2300C23—24no—
2301C23—24no—
2302C23—232no—
2303C23—232no—
2304C23—28no—
2305C23—28no—
2306C23—232no—
2307C23—28no—
2308C23—28no—
2309C23—28no—
2310C23—28no—
2311C23—28no—
2312C23—24no—
2313C23—28no—
2314C23—24no—
2315C23—28no—
2316C23—24no—
2317C23—28no—
2318C23—28no—
2319C23—28no—
2320C23—28no—
2321C23—464no—
2322C23—464no—
2323C23—464no—
2324C23—464no—
2325C23—41024no—
2326C23—4128no—
2327C23—4128no—
2328C23—4128no—
2329C23—4128no—
2330C23—464no—
2331C23—464no—
2332C23—464no—
2333C23—464no—
2334C23—44no—
2335C23—44no—
2336C23—44no—
2337C23—44no—
2338C23—432no—
2339C23—432no—
2340C23—416no—
2341C23—416no—
2342C23—432no—
2343C23—432no—
2344C23—416no—
2345C23—432no—
2346C23—432no—
2347C23—464no—
2348C23—416no—
2349C23—416no—
2350C23—416no—
2351C23—432no—
2352C23—432no—
2353C23—416no—
2354C23—42no—
2355C23—42no—
2356C23—42no—
2357C23—42no—
2358C23—44no—
2359C23—42no—
2360C23—42no—
2361C23—42no—
2362C23—42no—
2363C23—44no—
2364C23—416no—
2365C23—44no—
2366C23—44no—
2367C23—44no—
2368C23—44no—
2369C23—44no—
2370C23—44no—
2371C23—44no—
2372C23—44no—
2373C23—44no—
2374C23—44no—
2375C23—44no—
2376C23—44no—
2377C23—44no—
2378C23—44no—
2379C23—44no—
2380C23—44no—
2381C23—44no—
2382C23—44no—
2383C23—44no—
2384C23—44no—
2385C23—44no—
2386C23—432no—
2387C23—432no—
2388C23—432no—
2389C23—416no—
2390C23—432no—
2391C23—432no—
2392C23—432no—
2393C23—416no—
2394C23—432no—
2395C23—432no—
2396C23—44no—
2397C23—42no—
2398C23—42no—
2399C23—44no—
2400C23—44no—
2401C23—42no—
2402C23—42no—
2403C23—44no—
2404C23—44no—
2405C23—42no—
2406C23—42no—
2407C23—44no—
2408C23—44no—
2409C23—432no—
2410C23—42no—
2411C23—44no—
2412C23—44no—
2413C23—44no—
2414C23—44no—
2415C23—42no—
2416C23—44no—
2417C23—44no—
2418C23—44no—
2419C23—416no—
2420C23—44no—
2421C23—44no—
2422C23—44no—
2423C23—44no—
2424C23—44no—
2425C23—44no—
2426C23—44no—
2427C23—44no—
2428C23—44no—
2429C23—864no—
2430C23—864no—
2431C23—864no—
2432C23—864no—
2433C23—8512no—
2434C23—832no—
2435C23—832no—
2436C23—832no—
2437C23—816no—
2438C23—88no—
2439C23—816no—
2440C23—816no—
2441C23—816no—
2442C23—816no—
2443C23—832no—
2444C23—816no—
2445C23—88no—
2446C23—816no—
2447C23—816no—
2448C23—816no—
2449C23—88no—
2450C23—88no—
2451C23—816no—
2452C23#2414164yes—
2453C23C22×#12118yes—
2454C23C22×#12114yes—
2455C23C2×#52518yes—
2456C23C2×#52518yes—
2457C23C2×#52514yes—
2458C23C2×#52514yes—
2459C23C2×#53418yes—
2460C23C2×#53414yes—
2461C23C2×#53414yes—
2462C23C2×#53518yes—
2463C23C2×#53514yes—
2464C23#344914yes—
2465C23C2×#54618yes—
2466C23C2×#54614yes—
2467C23C2×#55018yes—
2468C23C2×#55014yes—
2469C23D4×#4118yes—
2470C23C2×#55318yes—
2471C23C2×#55314yes—
2472C23C2×#55518yes—
2473C23C2×#55514yes—
2474C23#347518yes—
2475C23#348118yes—
2476C23#348118yes—
2477C23#348418yes—
2478C23#349018yes—
2479C23#349018yes—
2480C23#349018yes—
2481C23#351318yes—
2482C23#351318yes—
2483C23#354218yes—
2484C23#354218yes—
2485C23C24×D411yescharacteristic
2486C23C24×D411yescharacteristic
2487C23C23×#4111yescharacteristic
2488C23C23×#4112yes—
2489C23C23×#4111yescharacteristic
2490C23C23×#4111yescharacteristic
2491C23C22×H(5,𝔽2)12yes—
2492C23C22×H(5,𝔽2)12yes—
2493C23C22×H(5,𝔽2)11yescharacteristic
2494C23C22×H(5,𝔽2)11yescharacteristic
2495C23C2×#58512yes—
2496D4—464no—
2497D4—464no—
2498D4—4128no—
2499D4—4128no—
2500D4—464no—
2501D4—864no—
2502C2×C4—2128no—
2503C2×C4—28no—
2504C2×C4—28no—
2505C2×C4—28no—
2506C2×C4—28no—
2507C2×C4—28no—
2508C2×C4—28no—
2509C2×C4—232no—
2510C2×C4—232no—
2511C2×C4—232no—
2512C2×C4—24no—
2513C2×C4—24no—
2514C2×C4—24no—
2515C2×C4—24no—
2516C2×C4—24no—
2517C2×C4—24no—
2518C2×C4—28no—
2519C2×C4—28no—
2520C2×C4—28no—
2521C2×C4—28no—
2522C2×C4—28no—
2523C2×C4—24no—
2524C2×C4—24no—
2525C2×C4—24no—
2526C2×C4—24no—
2527C2×C4—28no—
2528C2×C4—24no—
2529C2×C4—24no—
2530C2×C4—28no—
2531C2×C4—28no—
2532C2×C4—24no—
2533C2×C4—28no—
2534C2×C4—28no—
2535C2×C4—24no—
2536C2×C4—28no—
2537C2×C4—464no—
2538C2×C4—464no—
2539C2×C4—464no—
2540C2×C4—464no—
2541C2×C4—464no—
2542C2×C4—464no—
2543C2×C4—44no—
2544C2×C4—44no—
2545C2×C4—44no—
2546C2×C4—44no—
2547C2×C4—44no—
2548C2×C4—44no—
2549C2×C4—44no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—416no—
2553C2×C4—432no—
2554C2×C4—432no—
2555C2×C4—416no—
2556C2×C4—416no—
2557C2×C4—42no—
2558C2×C4—42no—
2559C2×C4—42no—
2560C2×C4—42no—
2561C2×C4—44no—
2562C2×C4—44no—
2563C2×C4—42no—
2564C2×C4—42no—
2565C2×C4—432no—
2566C2×C4—42no—
2567C2×C4—42no—
2568C2×C4—416no—
2569C2×C4—44no—
2570C2×C4—44no—
2571C2×C4—44no—
2572C2×C4—44no—
2573C2×C4—44no—
2574C2×C4—44no—
2575C2×C4—44no—
2576C2×C4—44no—
2577C2×C4—44no—
2578C2×C4—44no—
2579C2×C4—44no—
2580C2×C4—44no—
2581C2×C4—44no—
2582C2×C4—44no—
2583C2×C4—44no—
2584C2×C4—42no—
2585C2×C4—44no—
2586C2×C4—42no—
2587C2×C4—42no—
2588C2×C4—42no—
2589C2×C4—44no—
2590C2×C4—42no—
2591C2×C4—42no—
2592C2×C4—44no—
2593C2×C4—42no—
2594C2×C4—42no—
2595C2×C4—44no—
2596C2×C4—44no—
2597C2×C4—42no—
2598C2×C4—42no—
2599C2×C4—42no—
2600C2×C4—42no—
2601C2×C4—44no—
2602C2×C4—44no—
2603C2×C4—44no—
2604C2×C4—44no—
2605C2×C4—44no—
2606C2×C4—44no—
2607C2×C4—44no—
2608C2×C4—44no—
2609C2×C4—44no—
2610C2×C4—44no—
2611C2×C4—44no—
2612C2×C4—44no—
2613C2×C4—44no—
2614C2×C4—44no—
2615C2×C4—44no—
2616C2×C4—44no—
2617C2×C4—44no—
2618C2×C4—44no—
2619C2×C4—44no—
2620C2×C4—44no—
2621C2×C4—44no—
2622C2×C4—832no—
2623C2×C4—832no—
2624C2×C4—88no—
2625C2×C4—816no—
2626C2×C4—832no—
2627C2×C4—816no—
2628C2×C4—88no—
2629C2×C4—816no—
2630C2×C4—816no—
2631C2×C4—88no—
2632C2×C4—88no—
2633C2×C4C22×#12118yes—
2634C2×C4C22×#12118yes—
2635C2×C4C2×#53418yes—
2636C22—2128no—
2637C22—216no—
2638C22—216no—
2639C22—216no—
2640C22—28no—
2641C22—216no—
2642C22—28no—
2643C22—28no—
2644C22—28no—
2645C22—28no—
2646C22—28no—
2647C22—28no—
2648C22—28no—
2649C22—28no—
2650C22—28no—
2651C22—28no—
2652C22—28no—
2653C22—4256no—
2654C22—464no—
2655C22—464no—
2656C22—48no—
2657C22—48no—
2658C22—48no—
2659C22—48no—
2660C22—48no—
2661C22—48no—
2662C22—44no—
2663C22—48no—
2664C22—48no—
2665C22—44no—
2666C22—44no—
2667C22—44no—
2668C22—44no—
2669C22—44no—
2670C22—44no—
2671C22—44no—
2672C22—48no—
2673C22—48no—
2674C22—48no—
2675C22—48no—
2676C22—48no—
2677C22—44no—
2678C22—48no—
2679C22—48no—
2680C22—44no—
2681C22—48no—
2682C22—48no—
2683C22—44no—
2684C22—8128no—
2685C22—832no—
2686C22—864no—
2687C22—84no—
2688C22—84no—
2689C22—84no—
2690C22—84no—
2691C22—84no—
2692C22—84no—
2693C22—84no—
2694C22—82no—
2695C22—82no—
2696C22—84no—
2697C22—82no—
2698C22—84no—
2699C22—82no—
2700C22—84no—
2701C22C2×#2414116yes—
2702C22C2×#241418yes—
2703C22#3473718yes—
2704C22#3495618yes—
2705C22#3498118yes—
2706C22#3505018yes—
2707C22#3506218yes—
2708C22#3744818yes—
2709C22#59029116yes—
2710C22#59045116yes—
2711C22#59207116yes—
2712C22#59223116yes—
2713C22C23×#12111yescharacteristic
2714C22C22×#52511yescharacteristic
2715C22C22×#52511yescharacteristic
2716C22C22×#53411yescharacteristic
2717C22C22×#53411yescharacteristic
2718C22C22×#53511yescharacteristic
2719C22C2×#344911yescharacteristic
2720C22C22×#54611yescharacteristic
2721C22C22×#55011yescharacteristic
2722C22C2×D4×#4112yes—
2723C22C22×#55311yescharacteristic
2724C22C22×#55511yescharacteristic
2725C22C2×#347512yes—
2726C22C2×#348112yes—
2727C22C2×#348112yes—
2728C22C2×#354212yes—
2729C22C2×#354212yes—
2730C22C2×#348412yes—
2731C22C2×#349012yes—
2732C22C2×#349012yes—
2733C22C2×#349012yes—
2734C22C2×#351312yes—
2735C22C2×#351312yes—
2736C4—28no—
2737C4—28no—
2738C4—28no—
2739C4—48no—
2740C4—48no—
2741C4—44no—
2742C4—44no—
2743C4—44no—
2744C4—48no—
2745C4—44no—
2746C4—84no—
2747C4—84no—
2748C4—84no—
2749C4—82no—
2750C4—82no—
2751C4—82no—
2752C4—82no—
2753C4—84no—
2754C2—216no—
2755C2—48no—
2756C2—48no—
2757C2—84no—
2758C2—88no—
2759C2#760386116yesdirect product factor
2760C2C22×#241411yescharacteristic
2761C2C2×#3473711yescharacteristic
2762C2C2×#3495611yescharacteristic
2763C2C2×#3498111yescharacteristic
2764C2C2×#3505011yescharacteristic
2765C2C2×#3506211yescharacteristic
2766C2C2×#3744811yescharacteristic
2767C2C2×#5902912yes—
2768C2C2×#5904512yes—
2769C2C2×#5920712yes—
2770C2C2×#5922312yes—
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC24C26
prime radicalC2×#14715C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#2534C2semidirect
2. C22×C4×#120C2semidirect
3. C23×#386C2semidirect
4. C22×#2280C2semidirect
5. #760386C2direct (N × H)
6. C2×#16562C2semidirect
7. C2×#16512C2semidirect
8. C2×#14974C2semidirect
9. C2×#14918C2semidirect
10. C2×#14911C2semidirect
11. C2×#14890C2semidirect
12. C2×#14886C2semidirect
13. C2×#14730C2semidirect
14. C2×#14724C2semidirect
16. C2×#14199C2semidirect
17. C2×#14187C2semidirect
18. C2×#14149C2semidirect
19. C2×#13996C2semidirect
20. C2×#13995C2semidirect
21. C2×#13972C2semidirect
22. C2×#13971C2semidirect
23. C2×#13960C2semidirect
24. C2×#13903C2semidirect
31. C23×C4×D4C22semidirect
32. C23×C4×D4C22semidirect
33. C23×#117C22semidirect
38. C2×#2534C22semidirect
39. C22×#396C22semidirect
42. C22×#394C22semidirect
46. C2×C4×#120C22semidirect
47. C22×#390C22semidirect
48. C22×#388C22semidirect
49. C22×#388C22semidirect
58. C22×#386C22semidirect
59. C22×#386C22semidirect
60. C22×#386C22semidirect
61. C22×#386C22semidirect
65. C22×#385C22semidirect
66. C22×#385C22semidirect
68. C2×#2280C22semidirect
72. C22×#381C22semidirect
75. C22×#380C22semidirect
85. C22×C4×C22⋊C4C22semidirect
86. C22×C4×C22⋊C4C22semidirect
87. C22×C4×C22⋊C4C22semidirect
90. #16562C22semidirect
91. #16512C22semidirect
92. #14974C22semidirect
93. #14918C22semidirect
94. #14911C22semidirect
95. #14890C22semidirect
96. #14886C22semidirect
97. #14730C22semidirect
98. #14724C22semidirect
100. #14199C22semidirect
101. #14187C22semidirect
102. #14149C22semidirect
103. #13996C22semidirect
104. #13995C22semidirect
105. #13972C22semidirect
106. #13971C22semidirect
107. #13960C22semidirect
108. #13903C22semidirect
109. C2×#1445C22semidirect
110. C2×#1443C22semidirect
111. C2×#1442C22semidirect
112. C2×#1441C22semidirect
113. C2×#1441C22semidirect
114. C2×#1441C22semidirect
115. C2×#1440C22semidirect
116. C2×#1440C22semidirect
117. C2×#1440C22semidirect
118. C2×#1439C22semidirect
119. C2×#1439C22semidirect
120. C2×#1439C22semidirect
121. C2×#1439C22semidirect
122. C2×#1439C22semidirect
123. C2×#1439C22semidirect
124. C2×#1439C22semidirect
125. C2×#1439C22semidirect
126. C2×#1439C22semidirect
127. C2×#1439C22semidirect
132. C2×#1438C22semidirect
133. C2×#1438C22semidirect
134. C2×#1438C22semidirect
135. C2×#1437C22semidirect
136. C2×#1437C22semidirect
137. C2×#1437C22semidirect
138. C2×#1437C22semidirect
139. C2×#1437C22semidirect
140. C2×#1436C22semidirect
141. C2×#1436C22semidirect
142. C2×#1436C22semidirect
143. C2×C4⋊#95C22semidirect
144. C2×#1434C22semidirect
145. C2×#1434C22semidirect
150. C2×C22⋊#95C22semidirect
169. C25×C4D4semidirect
201. C22×C4×D4C23semidirect
202. C22×C4×D4C23semidirect
206. C22×#117C23semidirect
269. C2×#396C23semidirect
275. C2×#394C23semidirect
282. C2×#390C23semidirect
285. C2×#388C23semidirect
286. C2×#388C23semidirect
305. C2×#386C23semidirect
306. C2×#386C23semidirect
307. C2×#386C23semidirect
316. C2×#385C23semidirect
317. C2×#385C23semidirect
326. C2×#381C23semidirect
329. C2×#380D4semidirect
332. C2×#380C23semidirect
354. C2×C4×C22⋊C4C23semidirect
355. C2×C4×C22⋊C4C23semidirect
356. C2×C4×C22⋊C4C23semidirect
393. #1445C23semidirect
394. #1443C23semidirect
395. #1442C23semidirect
396. #1441C23semidirect
397. #1441C23semidirect
398. #1441C23semidirect
399. #1440C23semidirect
400. #1440C23semidirect
401. #1440C23semidirect
402. #1439C23semidirect
403. #1439C23semidirect
404. #1439C23semidirect
405. #1439C23semidirect
406. #1439C23semidirect
407. #1439C23semidirect
408. #1439C23semidirect
409. #1439C23semidirect
410. #1439C23semidirect
411. #1439C23semidirect
416. #1438C23semidirect
417. #1438C23semidirect
418. #1438C23semidirect
419. #1437C23semidirect
420. #1437C23semidirect
421. #1437C23semidirect
422. #1437C23semidirect
423. #1437C23semidirect
424. #1436C23semidirect
425. #1436C23semidirect
426. #1436C23semidirect
427. C4⋊#95C23semidirect
428. #1434C23semidirect
429. #1434C23semidirect
434. C22⋊#95C23semidirect
578. C24×C4C2×D4semidirect
655. C22×C4⋊C4C2×D4semidirect
861. #380C2×D4semidirect
907. C2×#95C2×D4semidirect
1425. C2×C4⋊C4C22×D4semidirect
1616. #95C22×D4semidirect
2759. C2#760386direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#25342
C22×C4×#1202
C23×#3862
C22×#22802
#7603862
C2×#165622
C2×#165122
C2×#149742
C2×#149182
C2×#149112
C2×#148902
C2×#148862
C2×#147302
C2×#147242
C2×#147152
C2×#141992
C2×#141872
C2×#141492
C2×#139962
C2×#139952
C2×#139722
C2×#139712
C2×#139602
C2×#139032