Finite Group Databasebeta

← #72297782

Subgroups — #72297782

Order 1024.

49031 conjugacy classes of subgroups.

The subgroup lattice has 2693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3496C211yesmaximal, characteristic, complemented
2C2×#45355C212yesmaximal, complemented
3C2×#59041C211yesmaximal, characteristic, complemented
4#5956191C211yesmaximal, characteristic, complemented
5#4928938C214yesmaximal, complemented
6#4312027C214yesmaximal, complemented
7D4×#392C212yesmaximal, complemented
8#1394155C212yesmaximal, complemented
9#1262353C218yesmaximal, complemented
10#1260445C214yesmaximal, complemented
11#1085256C214yesmaximal, complemented
12#1082737C214yesmaximal, complemented
13#777338C212yesmaximal, complemented
14#777321C212yesmaximal, complemented
15#777314C214yesmaximal, complemented
16#726432C212yesmaximal, complemented
17#725993C212yesmaximal, complemented
18#647676C214yesmaximal, complemented
19#647663C214yesmaximal, complemented
20#637269C211yesmaximal, characteristic, complemented
21#612797C211yesmaximal, characteristic, complemented
22#607767C211yesmaximal, characteristic, complemented
23#539101C212yesmaximal, complemented
24#530247C211yesmaximal, characteristic, complemented
25C23×H(5,𝔽2)C2212yescomplemented
26C2×#3496—232no—
27C2×#3496—216no—
28C22×#547C2212yescomplemented
29C22×#547C2212yescomplemented
30C22×#546C2214yescomplemented
31C22×#546C2214yescomplemented
32C22×D42C2212yes—
33C22×D42C2211yescharacteristic, complemented
34C22×D42C2212yescomplemented
35C22×D42C2214yescomplemented
36C22×#537C2212yescomplemented
37C22×#534C2214yescomplemented
38C22×#532C2211yescharacteristic
39C22×#532C2211yescharacteristic, complemented
40C23×#121C2214yescomplemented
41C23×C4×D4C2211yescharacteristic, complemented
42#59041—216no—
43C2×#2684C2214yescomplemented
44C2×#2668C2218yescomplemented
45C2×#2668C2218yescomplemented
46#45355—232no—
47C2×#2847C2212yescomplemented
48C2×#2563C2211yescharacteristic, complemented
49C2×#2563C2211yescharacteristic, complemented
50C2×#2535C2212yescomplemented
51C2×#2535C2212yescomplemented
52C2×#2535C2212yescomplemented
53C2×#2535C2214yescomplemented
54C2×#2535C2212yescomplemented
55C2×#2404C2214yescomplemented
56C2×#2404C2214yescomplemented
57C2×#2420C2212yescomplemented
58C2×#2420C2212yescomplemented
59C2×#2408C2212yescomplemented
60C2×#2408C2212yescomplemented
61C2×#2408C2214yescomplemented
62C2×#2408C2214yescomplemented
63C2×#2403C2218yescomplemented
64C2×#2403C2218yescomplemented
65C2×#2403C2218yescomplemented
66C2×#2397C2212yescomplemented
67C22×#392C2214yescomplemented
68C2×#2366C2211yescharacteristic, complemented
69C2×D4×C22⋊C4C2212yescomplemented
70C2×D4×C22⋊C4C2212yescomplemented
71C2×D4×C22⋊C4C2214yescomplemented
72C2×#2328C2212yescomplemented
73C2×#2328C2212yescomplemented
74C2×C4×#121C2211yescharacteristic, complemented
75C2×C4×#121C2211yescharacteristic, complemented
76C2×C4×#120C2214yescomplemented
77#16632C2218yescomplemented
78#16600C2218yescomplemented
79#16558C2212yescomplemented
80#16509C2212yescomplemented
81#16364C2214yescomplemented
82#16362C2212yescomplemented
83#16361C2214yescomplemented
84#16263C2214yescomplemented
85#16258C2214yescomplemented
86#16255C2218yescomplemented
87#16252C2212yescomplemented
88#16249C2218yescomplemented
89#15948C2218yescomplemented
90#15669C2218yescomplemented
91#15463C2218yescomplemented
92#15412C2218yescomplemented
93#15368C2218yescomplemented
94#15368C2218yescomplemented
95#15277C2218yescomplemented
96#15277C2218yescomplemented
97#15273C2218yescomplemented
98#15273C2218yescomplemented
99#15270C2218yescomplemented
100#15270C2218yescomplemented
101#15263C2218yescomplemented
102#15263C2218yescomplemented
103#15257C2218yescomplemented
104#15257C2218yescomplemented
105#15230C2211yescharacteristic, complemented
106#15219C2212yescomplemented
107#15219C2214yescomplemented
108#15181C2212yescomplemented
109#15159C2214yescomplemented
110#15144C2211yescharacteristic, complemented
111#15142C2211yescharacteristic, complemented
112#15140C2211yescharacteristic, complemented
113#15125C2212yescomplemented
114#15124C2212yescomplemented
115#15124C2212yescomplemented
116#15124C2214yescomplemented
117#15123C2214yescomplemented
118#15123C2212yescomplemented
119#15123C2214yescomplemented
120#15123C2214yescomplemented
121#14915C2214yescomplemented
122#14885C2218yescomplemented
123#14885C2218yescomplemented
124#14885C2214yescomplemented
125#14885C2214yescomplemented
126#14885C2214yescomplemented
127#14885C2214yescomplemented
128#14811C2212yescomplemented
129#14807C2212yescomplemented
130#14796C2214yescomplemented
131#14795C2214yescomplemented
132#14777C2212yescomplemented
133#14776C2212yescomplemented
134#14759C2214yescomplemented
135#14757C2214yescomplemented
136#14734C2212yescomplemented
137#14727C2218yescomplemented
138#14722C2214yescomplemented
139#14718C2218yescomplemented
140#14717C2214yescomplemented
141#14716C2218yescomplemented
142#14716C2212yescomplemented
143#14716C2214yescomplemented
144#14715C2218yescomplemented
145#14715C2212yescomplemented
146#14715C2218yescomplemented
147#14715C2214yescomplemented
148#14715C2218yescomplemented
149#14715C2214yescomplemented
150#14715C2212yescomplemented
151#14682C2211yescharacteristic, complemented
152#14680C2212yescomplemented
153#14473C2214yescomplemented
154#14417C2218yescomplemented
155#14417C2214yescomplemented
156#14357C2218yescomplemented
157#14335C2214yescomplemented
158#14299C2214yescomplemented
159#14282C2212yescomplemented
160#14175C2214yescomplemented
161#14137C2214yescomplemented
162#14134C2218yescomplemented
163#13970C2214yescomplemented
164#13970C2214yescomplemented
165#13970C2214yescomplemented
166#13967C2218yescomplemented
167#13967C2214yescomplemented
168#13956C2214yescomplemented
169#13956C2214yescomplemented
170#13941C2212yescomplemented
171#13916C2212yescomplemented
172#13905C2212yescomplemented
173#13902C2214yescomplemented
174#13894C2214yescomplemented
175#13881C2214yescomplemented
176#13872C2214yescomplemented
177#13872C2214yescomplemented
178#13867C2218yescomplemented
179#13867C2218yescomplemented
180#13867C2218yescomplemented
181C4×#392C2212yescomplemented
182C4×#392C2212yescomplemented
183#13847C2212yescomplemented
184D4×#95C2212yescomplemented
185#13785C2212yescomplemented
186#13753C2211yescharacteristic, complemented
187C22×H(5,𝔽2)—216no—
188C22×H(5,𝔽2)—232no—
189C22×H(5,𝔽2)—416no—
190C22×H(5,𝔽2)—416no—
191C23×#41C2314yes—
192C23×#41C2312yes—
193C23×#41C2314yes—
194C23×#41C2312yes—
195C24×D4C2311yescharacteristic
196C24×D4C2318yes—
197C24×D4C2312yes—
198C24×D4C2314yes—
199C24×D4C2312yes—
200C24×D4C2314yes—
201C24×D4C2314yes—
202C24×D4C2318yes—
203C25×C4C2312yes—
204#3496—2512no—
205C2×#547—216no—
206C2×#547—232no—
207C2×#547—216no—
208C2×#547—216no—
209C2×#547—216no—
210C2×#546—232no—
211C2×#546—232no—
212C2×#546—232no—
213C2×#546—264no—
214C2×#546—232no—
215C2×D42—232no—
216C2×D42—232no—
217C2×D42—216no—
218C2×D42—216no—
219C2×D42—216no—
220C2×D42—28no—
221C2×D42—216no—
222C2×D42—416no—
223C2×D42—416no—
224C2×D42D4132yescomplemented
225C2×#537—216no—
226C2×#537—232no—
227C2×#534—232no—
228C2×#534—264no—
229C2×#532—28no—
230C2×#532—216no—
231C2×#532—216no—
232C2×#532D4116yescomplemented
233C22×C4⋊Q8C2311yescharacteristic
234C22×C4⋊Q8C2311yescharacteristic
235C22×#127C2312yes—
236C22×#127C2311yescharacteristic
237C22×#127C2311yescharacteristic
238C22×#124C2312yes—
239C22×#124C2312yes—
240C22×#123C2318yes—
241C22×#123C2318yes—
242C22×C22⋊Q8C2314yes—
243C22×C22⋊Q8C2314yes—
244C22×#121—232no—
245C22×#121—232no—
246C22×#121—232no—
247C22×#121C2312yes—
248C22×#121C2314yes—
249C22×#121C2312yes—
250C22×#121C2312yes—
251C22×#121C2314yes—
252C22×#121C2312yes—
253C22×#121C2318yes—
254C22×#121C2318yes—
255C22×#121C2311yescharacteristic
256C22×#121C2314yes—
257C22×#121C2312yes—
258C22×#121C2312yes—
259C22×#121C2314yes—
260C22×#121C2314yes—
261C22×#121C2314yes—
262C22×#121C2311yescharacteristic
263C22×#121C2318yes—
264C22×#120C2314yes—
265C22×#120C2318yes—
266C22×#120C2318yes—
267C22×#120C2318yes—
268C22×#120C2314yes—
269C22×#120C2314yes—
270C22×#120C2318yes—
271C22×#120C2318yes—
272C22×#120C2314yes—
273C22×#120C2318yes—
274C22×C4×D4—28no—
275C22×C4×D4—216no—
276C22×C4×D4C2312yes—
277C22×C4×D4C2311yescharacteristic
278C22×C4×D4C2312yes—
279C22×C4×D4C2311yescharacteristic
280C22×C4×D4C2312yes—
281C22×C4×D4C2312yes—
282C22×C4×D4C2314yes—
283C22×C4×D4C2314yes—
284C22×C4×D4C2312yes—
285C22×C4×D4C2312yes—
286C22×C4×D4C2312yes—
287C22×C4×D4C2312yes—
288C22×C4×D4C2312yes—
289C22×C4×D4C2314yes—
290C22×C4×D4C2312yes—
291C22×C4×D4C2312yes—
292C22×C4×D4C2312yes—
293C23×C4⋊C4C2314yes—
294C23×C4⋊C4C2311yescharacteristic
295C23×C22⋊C4C2318yes—
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2314yes—
298C23×C22⋊C4C2318yes—
299C23×C42C2311yescharacteristic
300#2847—48no—
301#2684—232no—
302#2668—264no—
303#2668—264no—
304#2563—28no—
305#2563—28no—
306#2535—232no—
307#2535—216no—
308#2535—216no—
309#2535—216no—
310#2535—216no—
311#2420—216no—
312#2420—216no—
313#2408—232no—
314#2408—232no—
315#2408—216no—
316#2408—216no—
317#2404—232no—
318#2404—416no—
319#2403—264no—
320#2403—264no—
321#2403—432no—
322#2397—216no—
323C2×#399C2314yes—
324C2×#399C2314yes—
325C2×#397C2314yes—
326C2×#397C2314yes—
327C2×#397C2318yes—
328C2×#397C2314yes—
329C2×#397C2314yes—
330C2×#394C2318yes—
331C2×#394C2318yes—
332C2×#394C2314yes—
333C2×#394C2314yes—
334C2×#394C2314yes—
335C2×#393C2314yes—
336C2×#393C2314yes—
337C2×#393C2314yes—
338C2×#393C2314yes—
339C2×#392—416no—
340C2×#392C2314yes—
341C2×#392C2312yes—
342C2×#392C2312yes—
343C2×#392C2314yes—
344C2×#392C2314yes—
345C2×#392C2318yes—
346C2×#392C2318yes—
347C2×#392C2314yes—
348C2×#392C2314yes—
349C2×#392C2314yes—
350C2×#392C2314yes—
351C2×#392C2318yes—
352C2×#392C2318yes—
353C2×#392C2318yes—
354C2×#392C2318yes—
355C2×#392C2318yes—
356C2×#392C2318yes—
357C2×#392C2318yes—
358C2×#392C2314yes—
359C2×#392C2314yes—
360C2×#392C2314yes—
361C2×#392C2314yes—
362#2366—28no—
363D4×C22⋊C4—216no—
364D4×C22⋊C4—216no—
365D4×C22⋊C4—416no—
366#2328—216no—
367#2328—216no—
368C4×#121—28no—
369C4×#121—28no—
370C4×#120—416no—
371C2×#390C2311yescharacteristic
372C2×#390C2312yes—
373C2×#390C2312yes—
374C2×#390C2312yes—
375C2×#390C2312yes—
376C2×#390C2312yes—
377C2×#390C2314yes—
378C2×#390C2311yescharacteristic
379C2×#390C2312yes—
380C2×#390C2312yes—
381C2×#390C2312yes—
382C2×#390C2314yes—
383C2×#389C2311yescharacteristic
384C2×#389C2311yescharacteristic
385C2×#388C2312yes—
386C2×#388C2312yes—
387C2×#386C2318yes—
388C2×#386C2318yes—
389C2×#386C2318yes—
390C2×#386C2318yes—
391C2×#386C2318yes—
392C2×#386C2318yes—
393C2×#386C2312yes—
394C2×#386C2312yes—
395C2×#386C2314yes—
396C2×#386C2314yes—
397C2×#386C2314yes—
398C2×#386C2314yes—
399C2×#386C2318yes—
400C2×#386C2314yes—
401C2×#386C2314yes—
402C2×#386C2318yes—
403C2×#386C2318yes—
404C2×#386C2314yes—
405C2×#386C2318yes—
406C2×#386C2318yes—
407C2×#386C2318yes—
408C2×#386C2318yes—
409C2×#386C2318yes—
410C2×#386C2318yes—
411C2×#386C2318yes—
412C2×#386C2314yes—
413C2×#386C2318yes—
414C2×#386C2318yes—
415C2×#386C2314yes—
416C2×#386C2314yes—
417C2×#385C2314yes—
418C2×#385C2314yes—
419C2×#385C2314yes—
420C2×#382C2312yes—
421C2×#382C2312yes—
422C2×#382C2312yes—
423C2×#382C2312yes—
424C2×#381C2314yes—
425C2×#381C2314yes—
426C2×#380C2312yes—
427C2×#380C2312yes—
428C2×#380C2312yes—
429C2×#380C2312yes—
430C2×#380C2314yes—
431C2×#380C2314yes—
432C2×#380C2311yescharacteristic
433C2×#380C2311yescharacteristic
434C2×#380C2312yes—
435C2×#380C2314yes—
436C2×#380C2314yes—
437C2×#379C2314yes—
438C2×#379C2318yes—
439C2×#379C2318yes—
440C2×#379C2314yes—
441C2×#379C2318yes—
442C2×#379C2318yes—
443C2×#379C2314yes—
444C2×#379C2318yes—
445C2×#379C2314yes—
446C2×C4×C4⋊C4C2311yescharacteristic
447C2×C4×C4⋊C4C2311yescharacteristic
448C2×C4×C22⋊C4C2312yes—
449C2×C4×C22⋊C4C2314yes—
450C2×C4×C22⋊C4C2312yes—
451C2×C4×C22⋊C4C2312yes—
452C2×C4×C22⋊C4C2314yes—
453C2×#376C2312yes—
454C22×#95C2314yes—
455#1446C2314yes—
456#1446C2314yes—
457#1446C2318yes—
458#1445C2318yes—
459#1445C2314yes—
460#1445C2314yes—
461#1444C2312yes—
462#1444C2312yes—
463#1442C2318yes—
464#1442C2318yes—
465#1442C2314yes—
466#1442C2314yes—
467#1441C2318yes—
468#1441C2318yes—
469#1441C2314yes—
470#1440C2318yes—
471#1440C2318yes—
472#1440C2318yes—
473#1440C2318yes—
474#1440C2318yes—
475#1440C2318yes—
476#1440C2318yes—
477#1439C2314yes—
478#1439C2314yes—
479#1439C2314yes—
480#1439C2314yes—
481#1439C2318yes—
482#1439C2318yes—
483#1439C2318yes—
484#1439C2318yes—
485#1439C2314yes—
486#1439C2318yes—
487#1439C2314yes—
488#1439C2314yes—
489#1439C2312yes—
490#1439C2312yes—
491#1439C2314yes—
492#1439C2314yes—
493#1439C2318yes—
494#1439C2318yes—
495#1439C2318yes—
496#1438C2318yes—
497#1438C2318yes—
498#1438C2318yes—
499#1438C2318yes—
500#1438C2318yes—
501#1438C2318yes—
502#1438C2318yes—
503#1438C2318yes—
504#1438C2318yes—
505#1438C2318yes—
506#1438C2318yes—
507#1438C2314yes—
508#1438C2318yes—
509#1438C2314yes—
510#1438C2318yes—
511#1438C2318yes—
512#1438C2314yes—
513#1438C2312yes—
514#1438C2314yes—
515#1438C2312yes—
516#1438C2314yes—
517#1438C2314yes—
518#1438C2314yes—
519#1438C2318yes—
520#1438C2318yes—
521#1438C2314yes—
522#1438C2318yes—
523#1438C2318yes—
524#1437C2318yes—
525#1437C2318yes—
526C4⋊#95C2312yes—
527C4⋊#95C2314yes—
528C4⋊#95C2314yes—
529C4⋊#95C2314yes—
530C4⋊#95C2312yes—
531C4⋊#95C2312yes—
532#1434C2312yes—
533#1434C2312yes—
534#1434C2312yes—
535#1434C2312yes—
536C22⋊#95C2318yes—
537C22⋊#95C2318yes—
538C22⋊#95C2318yes—
539C22⋊#95C2318yes—
540C22⋊#95C2318yes—
541C22⋊#95C2312yes—
542C22⋊#95C2312yes—
543C22⋊#95C2318yes—
544C22⋊#95C2314yes—
545C22⋊#95C2314yes—
546C22⋊#95C2318yes—
547C22⋊#95C2318yes—
548C22⋊#95C2318yes—
549C22⋊#95C2318yes—
550C22⋊#95C2312yes—
551C22⋊#95C2312yes—
552C22⋊#95C2318yes—
553C22⋊#95C2314yes—
554C4×#95C2311yescharacteristic
555C4×#95C2311yescharacteristic
556C26C2412yes—
557C26C2414yes—
558C26C2418yes—
559C2×H(5,𝔽2)—2256no—
560C2×H(5,𝔽2)—4128no—
561C2×H(5,𝔽2)—4512no—
562C2×H(5,𝔽2)—4128no—
563C22×#41—216no—
564C22×#41—216no—
565C22×#41—216no—
566C22×#41—232no—
567C22×#41—216no—
568C22×#41—216no—
569C22×#41—28no—
570C22×#41—216no—
571C22×#41—216no—
572C22×#41—48no—
573C22×#41—48no—
574C22×#41—48no—
575C22×#41—416no—
576C22×#41—416no—
577C22×#41—416no—
578C22×#41—48no—
579C22×#41—48no—
580C22×#41C2×D4116yescomplemented
581C23×Q8C2412yes—
582C23×Q8C2412yes—
583C23×D4—28no—
584C23×D4—28no—
585C23×D4—28no—
586C23×D4—232no—
587C23×D4—232no—
588C23×D4—232no—
589C23×D4—232no—
590C23×D4—216no—
591C23×D4—216no—
592C23×D4—216no—
593C23×D4—216no—
594C23×D4—232no—
595C23×D4—232no—
596C23×D4—216no—
597C23×D4—28no—
598C23×D4—28no—
599C23×D4—28no—
600C23×D4—216no—
601C23×D4—216no—
602C23×D4—24no—
603C23×D4—216no—
604C23×D4—48no—
605C23×D4—48no—
606C23×D4—44no—
607C23×D4—48no—
608C23×D4—48no—
609C23×D4—48no—
610C23×D4—48no—
611C23×D4—416no—
612C23×D4—416no—
613C23×D4—416no—
614C23×D4—416no—
615C23×D4—416no—
616C23×D4—416no—
617C23×D4—416no—
618C23×D4—48no—
619C23×D4—416no—
620C23×D4—416no—
621C23×D4—416no—
622C23×D4—416no—
623C23×D4—88no—
624C23×D4—84no—
625C23×D4C2×D4132yescomplemented
626C23×D4C2×D4132yescomplemented
627C23×D4C2412yes—
628C23×D4C2412yes—
629C23×D4C2412yes—
630C23×D4C2411yescharacteristic
631C23×D4C2418yes—
632C23×D4C2414yes—
633C23×D4C2412yes—
634C23×D4C2411yescharacteristic
635C23×D4C2414yes—
636C23×D4C2414yes—
637C23×D4C2418yes—
638C23×D4C2414yes—
639C23×D4C2412yes—
640C23×D4C2412yes—
641C23×D4C2414yes—
642C23×D4C2418yes—
643C23×D4C2414yes—
644C23×D4C2412yes—
645C23×D4C2418yes—
646C23×D4C2412yes—
647C23×D4C2418yes—
648C23×D4C2418yes—
649C23×D4C2412yes—
650C23×D4C2412yes—
651C24×C4—216no—
652C24×C4—28no—
653C24×C4—44no—
654C24×C4—44no—
655C24×C4—48no—
656C24×C4C2412yes—
657C24×C4C2411yescharacteristic
658C24×C4C2414yes—
659C24×C4C2411yescharacteristic
660C24×C4C2418yes—
661C24×C4C2414yes—
662C24×C4C2414yes—
663C24×C4C2412yes—
664C24×C4C2412yes—
665C24×C4C2418yes—
666C24×C4C2414yes—
667C24×C4C2411yescharacteristic
668C24×C4C2414yes—
669#547—2256no—
670#547—2256no—
671#546—2512no—
672#546—2512no—
673D42—2256no—
674D42—2256no—
675D42—4256no—
676D42—464no—
677#537—2256no—
678#534—2512no—
679#532—2128no—
680#532—2128no—
681C2×C4⋊Q8—28no—
682C2×C4⋊Q8—24no—
683C2×C4⋊Q8—28no—
684C2×C4⋊Q8C2×D418yescomplemented
685C2×#127—28no—
686C2×#127—28no—
687C2×#127—28no—
688C2×#127—24no—
689C2×#127—28no—
690C2×#127C2×D4116yes—
691C2×#127C2×D418yes—
692C2×#124—216no—
693C2×#124—216no—
694C2×#124—28no—
695C2×#124C2×D4116yescomplemented
696C2×#123—232no—
697C2×#123—232no—
698C2×#123—232no—
699C2×#123—232no—
700C2×#123—232no—
701C2×#123—232no—
702C2×C22⋊Q8—216no—
703C2×C22⋊Q8—216no—
704C2×C22⋊Q8—216no—
705C2×C22⋊Q8—216no—
706C2×C22⋊Q8—232no—
707C2×#121—2512no—
708C2×#121—28no—
709C2×#121—216no—
710C2×#121—232no—
711C2×#121—232no—
712C2×#121—216no—
713C2×#121—216no—
714C2×#121—216no—
715C2×#121—232no—
716C2×#121—232no—
717C2×#121—216no—
718C2×#121—216no—
719C2×#121—216no—
720C2×#121—232no—
721C2×#121—28no—
722C2×#121—216no—
723C2×#121—28no—
724C2×#121—216no—
725C2×#121—216no—
726C2×#121—216no—
727C2×#121—216no—
728C2×#121—232no—
729C2×#121—28no—
730C2×#121—28no—
731C2×#121—24no—
732C2×#121—216no—
733C2×#121—24no—
734C2×#121—24no—
735C2×#121—216no—
736C2×#121—28no—
737C2×#121—216no—
738C2×#121—232no—
739C2×#121—232no—
740C2×#121—216no—
741C2×#121—44no—
742C2×#121—416no—
743C2×#121—42no—
744C2×#121—48no—
745C2×#121—48no—
746C2×#121—416no—
747C2×#121—48no—
748C2×#121C2×D4116yescomplemented
749C2×#121C2×D4132yescomplemented
750C2×#121C2×D4116yescomplemented
751C2×#121C2×D4132yescomplemented
752C2×#120—232no—
753C2×#120—232no—
754C2×#120—232no—
755C2×#120—232no—
756C2×#120—232no—
757C2×#120—216no—
758C2×#120—232no—
759C2×#120—232no—
760C2×#120—216no—
761C2×#120—232no—
762C2×#120—216no—
763C2×#120—232no—
764C2×#120—216no—
765C2×#120—232no—
766C2×#120—416no—
767C2×#120—416no—
768C2×#120—48no—
769C2×#120—416no—
770C2×#120—48no—
771C2×#120—416no—
772C2×#120—48no—
773C2×#120—416no—
774C2×#120—416no—
775C2×#120—416no—
776C2×#120—416no—
777C2×#120—84no—
778C2×#120—88no—
779C2×#120C2×D4164yescomplemented
780C2×C4×D4—2128no—
781C2×C4×D4—28no—
782C2×C4×D4—216no—
783C2×C4×D4—216no—
784C2×C4×D4—216no—
785C2×C4×D4—216no—
786C2×C4×D4—216no—
787C2×C4×D4—216no—
788C2×C4×D4—28no—
789C2×C4×D4—28no—
790C2×C4×D4—216no—
791C2×C4×D4—28no—
792C2×C4×D4—28no—
793C2×C4×D4—28no—
794C2×C4×D4—216no—
795C2×C4×D4—28no—
796C2×C4×D4—28no—
797C2×C4×D4—28no—
798C2×C4×D4—28no—
799C2×C4×D4—28no—
800C2×C4×D4—28no—
801C2×C4×D4—28no—
802C2×C4×D4—28no—
803C2×C4×D4—24no—
804C2×C4×D4—24no—
805C2×C4×D4—28no—
806C2×C4×D4—28no—
807C2×C4×D4—216no—
808C2×C4×D4—216no—
809C2×C4×D4—48no—
810C2×C4×D4—48no—
811C2×C4×D4—48no—
812C2×C4×D4—48no—
813C2×C4×D4—48no—
814C2×C4×D4—48no—
815C2×C4×D4—84no—
816C2×C4×D4—84no—
817C2×C4×D4C2×D4116yescomplemented
818C2×C4×D4C2×D4116yescomplemented
819C2×C4×D4C2×D4116yescomplemented
820C2×C4×D4C2×D4116yescomplemented
821C22×C4⋊C4—24no—
822C22×C4⋊C4—216no—
823C22×C4⋊C4—28no—
824C22×C4⋊C4—216no—
825C22×C4⋊C4—216no—
826C22×C4⋊C4C2411yescharacteristic
827C22×C4⋊C4C2412yes—
828C22×C4⋊C4C2418yes—
829C22×C4⋊C4C2411yescharacteristic
830C22×C4⋊C4C2414yes—
831C22×C4⋊C4C2411yescharacteristic
832C22×C4⋊C4C2412yes—
833C22×C4⋊C4C2411yescharacteristic
834C22×C4⋊C4C2414yes—
835C22×C4⋊C4C2412yes—
836C22×C4⋊C4C2412yes—
837C22×C4⋊C4C2412yes—
838C22×C4⋊C4C2412yes—
839C22×C4⋊C4C2412yes—
840C22×C4⋊C4C2414yes—
841C22×C4⋊C4C2412yes—
842C22×C4⋊C4C2411yescharacteristic
843C22×C4⋊C4C2411yescharacteristic
844C22×C22⋊C4—232no—
845C22×C22⋊C4—28no—
846C22×C22⋊C4—216no—
847C22×C22⋊C4—232no—
848C22×C22⋊C4—232no—
849C22×C22⋊C4—216no—
850C22×C22⋊C4—416no—
851C22×C22⋊C4—48no—
852C22×C22⋊C4—48no—
853C22×C22⋊C4—416no—
854C22×C22⋊C4—88no—
855C22×C22⋊C4C2412yes—
856C22×C22⋊C4C2412yes—
857C22×C22⋊C4C2412yes—
858C22×C22⋊C4C2412yes—
859C22×C22⋊C4C2414yes—
860C22×C22⋊C4C2414yes—
861C22×C22⋊C4C2414yes—
862C22×C22⋊C4C2418yes—
863C22×C22⋊C4C2414yes—
864C22×C22⋊C4C2412yes—
865C22×C22⋊C4C2414yes—
866C22×C22⋊C4C2414yes—
867C22×C22⋊C4C2418yes—
868C22×C22⋊C4C2414yes—
869C22×C22⋊C4C2414yes—
870C22×C22⋊C4C2412yes—
871C22×C22⋊C4C2418yes—
872C22×C22⋊C4C2414yes—
873C22×C22⋊C4C2414yes—
874C22×C22⋊C4C2414yes—
875C22×C22⋊C4C2418yes—
876C22×C22⋊C4C2414yes—
877C22×C22⋊C4C2414yes—
878C22×C22⋊C4C2414yes—
879C22×C22⋊C4C2418yes—
880C22×C22⋊C4C2414yes—
881C22×C22⋊C4C2414yes—
882C22×C22⋊C4C2418yes—
883C22×C22⋊C4C2414yes—
884C22×C22⋊C4C2414yes—
885C22×C22⋊C4C2418yes—
886C22×C22⋊C4C2418yes—
887C22×C22⋊C4C2412yes—
888C22×C22⋊C4C2412yes—
889C22×C22⋊C4C2412yes—
890C22×C22⋊C4C2414yes—
891C22×C22⋊C4C2418yes—
892C22×C22⋊C4C2418yes—
893C22×C22⋊C4C2418yes—
894C22×C22⋊C4C2418yes—
895C22×C22⋊C4C2414yes—
896C22×C22⋊C4C2414yes—
897C22×C22⋊C4C2418yes—
898C22×C22⋊C4C2414yes—
899C22×C22⋊C4C2414yes—
900C22×C22⋊C4C2418yes—
901C22×C22⋊C4C2412yes—
902C22×C22⋊C4C2414yes—
903C22×C22⋊C4C2418yes—
904C22×C22⋊C4C2418yes—
905C22×C22⋊C4C2418yes—
906C22×C42—28no—
907C22×C42C2×D418yescomplemented
908C22×C42C2412yes—
909C22×C42C2412yes—
910C22×C42C2411yescharacteristic
911C22×C42C2411yescharacteristic
912C22×C42C2411yescharacteristic
913C22×C42C2412yes—
914C22×C42C2412yes—
915C22×C42C2411yescharacteristic
916#399—216no—
917#399—216no—
918#397—216no—
919#397—232no—
920#397—216no—
921#397—216no—
922#397—216no—
923#394—232no—
924#394—232no—
925#394—216no—
926#394—216no—
927#394—84no—
928#393—216no—
929#393—216no—
930#393—48no—
931#393—48no—
932#392—216no—
933#392—232no—
934#392—216no—
935#392—232no—
936#392—232no—
937#392—216no—
938#392—216no—
939#392—28no—
940#392—216no—
941#392—28no—
942#392—216no—
943#392—216no—
944#392—48no—
945#392—48no—
946#392—416no—
947#392—416no—
948#392—48no—
949#392—416no—
950#392—416no—
951#392—416no—
952#392—416no—
953#392—84no—
954#390—28no—
955#390—216no—
956#390—28no—
957#390—28no—
958#390—28no—
959#390—28no—
960#390—28no—
961#390—24no—
962#390—24no—
963#390—28no—
964#390—48no—
965#390—44no—
966#389—24no—
967#389—24no—
968#388—28no—
969#388—28no—
970#386—232no—
971#386—232no—
972#386—216no—
973#386—232no—
974#386—216no—
975#386—232no—
976#386—216no—
977#386—216no—
978#386—232no—
979#386—28no—
980#386—28no—
981#386—232no—
982#386—216no—
983#386—216no—
984#386—232no—
985#386—232no—
986#386—48no—
987#386—416no—
988#386—48no—
989#386—48no—
990#386—416no—
991#386—48no—
992#386—416no—
993#386—416no—
994#386—416no—
995#386—416no—
996#386—416no—
997#386—416no—
998#386—416no—
999#386—416no—
1000#385—48no—
1001#385—48no—
1002#385—48no—
1003#382—28no—
1004#382—28no—
1005#382—28no—
1006#382—28no—
1007#381—216no—
1008#381—48no—
1009#380—216no—
1010#380—24no—
1011#380—24no—
1012#380—28no—
1013#380—28no—
1014#380—28no—
1015#380—28no—
1016#380—216no—
1017#380—44no—
1018#380—48no—
1019#380—48no—
1020#379—232no—
1021#379—216no—
1022#379—216no—
1023#379—232no—
1024#379—416no—
1025#379—48no—
1026#379—416no—
1027#379—84no—
1028#379—88no—
1029C4×C4⋊C4—24no—
1030C4×C4⋊C4—24no—
1031C4×C22⋊C4—28no—
1032C4×C22⋊C4—28no—
1033C4×C22⋊C4—216no—
1034C4×C22⋊C4—28no—
1035C4×C22⋊C4—48no—
1036#376—28no—
1037C2×#95—48no—
1038C2×#95C2412yes—
1039C2×#95C2414yes—
1040C2×#95C2412yes—
1041C2×#95C2414yes—
1042C2×#95C2414yes—
1043C2×#95C2418yes—
1044C2×#95C2418yes—
1045C2×#95C2414yes—
1046C2×#95C2418yes—
1047C2×#95C2414yes—
1048C2×#95C2414yes—
1049C2×#95C2414yes—
1050C2×#95C2412yes—
1051C2×#95C2412yes—
1052C2×#95C2414yes—
1053C2×#95C2414yes—
1054C2×#95C2412yes—
1055C2×#95C2412yes—
1056C2×#95C2414yes—
1057C2×#95C2414yes—
1058C2×#95C2412yes—
1059C2×#95C2412yes—
1060C2×#95C2414yes—
1061C2×#95C2412yes—
1062C2×#95C2418yes—
1063C2×#95C2418yes—
1064C2×#95C2414yes—
1065C2×#95C2418yes—
1066C2×#95C2418yes—
1067C2×#95C2418yes—
1068C2×#95C2418yes—
1069C2×#95C2418yes—
1070C2×#95C2412yes—
1071C2×#95C2414yes—
1072C2×#95C2418yes—
1073C2×#95C2414yes—
1074C2×#95C2418yes—
1075C2×#95C2418yes—
1076C2×#95C2414yes—
1077C25—24no—
1078C25—28no—
1079C25—28no—
1080C25—24no—
1081C25—216no—
1082C25—216no—
1083C25—216no—
1084C25—216no—
1085C25—28no—
1086C25—28no—
1087C25—28no—
1088C25—216no—
1089C25—48no—
1090C25—48no—
1091C25—44no—
1092C25—42no—
1093C25—44no—
1094C25—44no—
1095C25—42no—
1096C25—42no—
1097C25—42no—
1098C25—48no—
1099C25—48no—
1100C25—48no—
1101C25—48no—
1102C25—48no—
1103C25—48no—
1104C25—44no—
1105C25—48no—
1106C25—48no—
1107C25—44no—
1108C25—48no—
1109C25—48no—
1110C25—44no—
1111C25—48no—
1112C25C22×D4132yes—
1113C25H(5,𝔽2)18yes—
1114C25C2514yes—
1115C25C2512yes—
1116C25C2512yes—
1117C25C2514yes—
1118C25C2514yes—
1119C25C2511yescharacteristic
1120H(5,𝔽2)—42048no—
1121C2×#41—264no—
1122C2×#41—2128no—
1123C2×#41—2128no—
1124C2×#41—264no—
1125C2×#41—432no—
1126C2×#41—432no—
1127C2×#41—464no—
1128C2×#41—4128no—
1129C2×#41—4128no—
1130C2×#41—432no—
1131C2×#41—432no—
1132C2×#41—4128no—
1133C2×#41—464no—
1134C2×#41—4128no—
1135C2×#41—464no—
1136C2×#41—464no—
1137C2×#41—4128no—
1138C2×#41—4128no—
1139C22×Q8—28no—
1140C22×Q8—28no—
1141C22×Q8—24no—
1142C22×Q8—28no—
1143C22×Q8—44no—
1144C22×Q8—44no—
1145C22×Q8—44no—
1146C22×Q8C22×D418yes—
1147C22×D4—232no—
1148C22×D4—2128no—
1149C22×D4—232no—
1150C22×D4—232no—
1151C22×D4—28no—
1152C22×D4—28no—
1153C22×D4—28no—
1154C22×D4—28no—
1155C22×D4—2256no—
1156C22×D4—2128no—
1157C22×D4—216no—
1158C22×D4—216no—
1159C22×D4—216no—
1160C22×D4—216no—
1161C22×D4—28no—
1162C22×D4—28no—
1163C22×D4—216no—
1164C22×D4—28no—
1165C22×D4—28no—
1166C22×D4—216no—
1167C22×D4—216no—
1168C22×D4—216no—
1169C22×D4—28no—
1170C22×D4—24no—
1171C22×D4—28no—
1172C22×D4—216no—
1173C22×D4—216no—
1174C22×D4—216no—
1175C22×D4—216no—
1176C22×D4—2128no—
1177C22×D4—2128no—
1178C22×D4—28no—
1179C22×D4—216no—
1180C22×D4—24no—
1181C22×D4—28no—
1182C22×D4—216no—
1183C22×D4—216no—
1184C22×D4—216no—
1185C22×D4—28no—
1186C22×D4—28no—
1187C22×D4—24no—
1188C22×D4—28no—
1189C22×D4—28no—
1190C22×D4—24no—
1191C22×D4—24no—
1192C22×D4—216no—
1193C22×D4—216no—
1194C22×D4—216no—
1195C22×D4—216no—
1196C22×D4—28no—
1197C22×D4—28no—
1198C22×D4—28no—
1199C22×D4—28no—
1200C22×D4—28no—
1201C22×D4—216no—
1202C22×D4—28no—
1203C22×D4—216no—
1204C22×D4—216no—
1205C22×D4—24no—
1206C22×D4—24no—
1207C22×D4—24no—
1208C22×D4—24no—
1209C22×D4—24no—
1210C22×D4—24no—
1211C22×D4—22no—
1212C22×D4—22no—
1213C22×D4—216no—
1214C22×D4—28no—
1215C22×D4—24no—
1216C22×D4—24no—
1217C22×D4—24no—
1218C22×D4—28no—
1219C22×D4—24no—
1220C22×D4—24no—
1221C22×D4—28no—
1222C22×D4—24no—
1223C22×D4—24no—
1224C22×D4—24no—
1225C22×D4—24no—
1226C22×D4—216no—
1227C22×D4—28no—
1228C22×D4—24no—
1229C22×D4—22no—
1230C22×D4—24no—
1231C22×D4—464no—
1232C22×D4—464no—
1233C22×D4—464no—
1234C22×D4—44no—
1235C22×D4—44no—
1236C22×D4—44no—
1237C22×D4—44no—
1238C22×D4—44no—
1239C22×D4—44no—
1240C22×D4—48no—
1241C22×D4—44no—
1242C22×D4—48no—
1243C22×D4—48no—
1244C22×D4—48no—
1245C22×D4—48no—
1246C22×D4—44no—
1247C22×D4—42no—
1248C22×D4—44no—
1249C22×D4—44no—
1250C22×D4—44no—
1251C22×D4—44no—
1252C22×D4—44no—
1253C22×D4—48no—
1254C22×D4—48no—
1255C22×D4—48no—
1256C22×D4—48no—
1257C22×D4—48no—
1258C22×D4—48no—
1259C22×D4—44no—
1260C22×D4—48no—
1261C22×D4—48no—
1262C22×D4—48no—
1263C22×D4—42no—
1264C22×D4—42no—
1265C22×D4—48no—
1266C22×D4—48no—
1267C22×D4—44no—
1268C22×D4—44no—
1269C22×D4—48no—
1270C22×D4—48no—
1271C22×D4—48no—
1272C22×D4—48no—
1273C22×D4—48no—
1274C22×D4—48no—
1275C22×D4—48no—
1276C22×D4—44no—
1277C22×D4—44no—
1278C22×D4—4128no—
1279C22×D4—464no—
1280C22×D4—432no—
1281C22×D4—4128no—
1282C22×D4—4128no—
1283C22×D4—4128no—
1284C22×D4—464no—
1285C22×D4—4128no—
1286C22×D4—464no—
1287C22×D4—4128no—
1288C22×D4—464no—
1289C22×D4—4128no—
1290C22×D4—432no—
1291C22×D4—4128no—
1292C22×D4—4128no—
1293C22×D4—4128no—
1294C22×D4—4128no—
1295C22×D4—432no—
1296C22×D4—432no—
1297C22×D4—832no—
1298C22×D4—832no—
1299C22×D4—832no—
1300C22×D4—832no—
1301C22×D4—832no—
1302C22×D4—816no—
1303C22×D4—816no—
1304C22×D4—864no—
1305C22×D4—864no—
1306C22×D4—864no—
1307C22×D4—864no—
1308C22×D4—864no—
1309C22×D4—864no—
1310C22×D4—864no—
1311C22×D4C22×D418yes—
1312C22×D4C22×D418yes—
1313C22×D4C22×D4132yes—
1314C22×D4C22×D4116yes—
1315C22×D4C22×D4116yes—
1316C22×D4C22×D418yes—
1317C22×D4C22×D4132yes—
1318C22×D4C22×D418yes—
1319C22×D4C22×D4116yes—
1320C22×D4C22×D418yes—
1321C22×D4C22×D4116yes—
1322C22×D4H(5,𝔽2)18yes—
1323C22×D4H(5,𝔽2)14yescomplemented
1324C23×C4—24no—
1325C23×C4—24no—
1326C23×C4—24no—
1327C23×C4—216no—
1328C23×C4—216no—
1329C23×C4—264no—
1330C23×C4—28no—
1331C23×C4—24no—
1332C23×C4—216no—
1333C23×C4—216no—
1334C23×C4—28no—
1335C23×C4—28no—
1336C23×C4—28no—
1337C23×C4—28no—
1338C23×C4—24no—
1339C23×C4—28no—
1340C23×C4—28no—
1341C23×C4—28no—
1342C23×C4—24no—
1343C23×C4—28no—
1344C23×C4—28no—
1345C23×C4—22no—
1346C23×C4—28no—
1347C23×C4—22no—
1348C23×C4—28no—
1349C23×C4—28no—
1350C23×C4—24no—
1351C23×C4—28no—
1352C23×C4—216no—
1353C23×C4—216no—
1354C23×C4—216no—
1355C23×C4—28no—
1356C23×C4—28no—
1357C23×C4—24no—
1358C23×C4—24no—
1359C23×C4—28no—
1360C23×C4—24no—
1361C23×C4—24no—
1362C23×C4—216no—
1363C23×C4—28no—
1364C23×C4—48no—
1365C23×C4—48no—
1366C23×C4—48no—
1367C23×C4—48no—
1368C23×C4—48no—
1369C23×C4—48no—
1370C23×C4—48no—
1371C23×C4—48no—
1372C23×C4—42no—
1373C23×C4—44no—
1374C23×C4—42no—
1375C23×C4—44no—
1376C23×C4—44no—
1377C23×C4—44no—
1378C23×C4—42no—
1379C23×C4—44no—
1380C23×C4—44no—
1381C23×C4—44no—
1382C23×C4—44no—
1383C23×C4—42no—
1384C23×C4—48no—
1385C23×C4—48no—
1386C23×C4—48no—
1387C23×C4—48no—
1388C23×C4—44no—
1389C23×C4—832no—
1390C23×C4—816no—
1391C23×C4—832no—
1392C23×C4—816no—
1393C23×C4C22×D4116yes—
1394C23×C4C22×D414yes—
1395C23×C4C22×D414yes—
1396C23×C4C22×D4116yes—
1397C23×C4C22×D414yes—
1398C23×C4C22×D4116yes—
1399C23×C4C2512yes—
1400C23×C4C2512yes—
1401C23×C4C2512yes—
1402C23×C4C2512yes—
1403C23×C4C2514yes—
1404C23×C4C2512yes—
1405C23×C4C2512yes—
1406C23×C4C2518yes—
1407C23×C4C2511yescharacteristic
1408C23×C4C2511yescharacteristic
1409C23×C4C2514yes—
1410C23×C4C2514yes—
1411C23×C4C2514yes—
1412C23×C4C2514yes—
1413C23×C4C2511yescharacteristic
1414C23×C4C2511yescharacteristic
1415C23×C4C2511yescharacteristic
1416C23×C4C2511yescharacteristic
1417C4⋊Q8—232no—
1418C4⋊Q8—232no—
1419#127—232no—
1420#127—264no—
1421#127#120164yescomplemented
1422#124—264no—
1423#124—264no—
1424#123—2256no—
1425#123—2256no—
1426C22⋊Q8—2128no—
1427C22⋊Q8—2128no—
1428#121—264no—
1429#121—2256no—
1430#121—2128no—
1431#121—2256no—
1432#121—264no—
1433#121—2128no—
1434#121—264no—
1435#121—2128no—
1436#121—264no—
1437#121—2128no—
1438#121—416no—
1439#121—464no—
1440#121—416no—
1441#121—4128no—
1442#121—464no—
1443#121—432no—
1444#121—432no—
1445#120—2256no—
1446#120—2256no—
1447#120—464no—
1448#120—4128no—
1449#120—4128no—
1450#120—464no—
1451#120—832no—
1452#120—864no—
1453#120—864no—
1454#120—832no—
1455C4×D4—264no—
1456C4×D4—264no—
1457C4×D4—264no—
1458C4×D4—264no—
1459C4×D4—264no—
1460C4×D4—264no—
1461C4×D4—264no—
1462C4×D4—264no—
1463C4×D4—464no—
1464C4×D4—464no—
1465C4×D4—416no—
1466C4×D4—416no—
1467C4×D4—816no—
1468C4×D4—816no—
1469C4×D4—832no—
1470C4×D4—816no—
1471C4×D4—816no—
1472C2×C4⋊C4—232no—
1473C2×C4⋊C4—2128no—
1474C2×C4⋊C4—24no—
1475C2×C4⋊C4—28no—
1476C2×C4⋊C4—24no—
1477C2×C4⋊C4—28no—
1478C2×C4⋊C4—24no—
1479C2×C4⋊C4—24no—
1480C2×C4⋊C4—24no—
1481C2×C4⋊C4—216no—
1482C2×C4⋊C4—216no—
1483C2×C4⋊C4—216no—
1484C2×C4⋊C4—28no—
1485C2×C4⋊C4—24no—
1486C2×C4⋊C4—28no—
1487C2×C4⋊C4—22no—
1488C2×C4⋊C4—22no—
1489C2×C4⋊C4—24no—
1490C2×C4⋊C4—28no—
1491C2×C4⋊C4—22no—
1492C2×C4⋊C4—22no—
1493C2×C4⋊C4—28no—
1494C2×C4⋊C4—24no—
1495C2×C4⋊C4—22no—
1496C2×C4⋊C4—22no—
1497C2×C4⋊C4—28no—
1498C2×C4⋊C4—28no—
1499C2×C4⋊C4—24no—
1500C2×C4⋊C4—28no—
1501C2×C4⋊C4—22no—
1502C2×C4⋊C4—22no—
1503C2×C4⋊C4—24no—
1504C2×C4⋊C4—24no—
1505C2×C4⋊C4—28no—
1506C2×C4⋊C4—44no—
1507C2×C4⋊C4—42no—
1508C2×C4⋊C4—42no—
1509C2×C4⋊C4—44no—
1510C2×C4⋊C4—44no—
1511C2×C4⋊C4—44no—
1512C2×C4⋊C4—44no—
1513C2×C4⋊C4C22×D418yes—
1514C2×C4⋊C4C22×D418yes—
1515C2×C4⋊C4C22×D418yes—
1516C2×C4⋊C4C22×D418yes—
1517C2×C22⋊C4—264no—
1518C2×C22⋊C4—2256no—
1519C2×C22⋊C4—28no—
1520C2×C22⋊C4—216no—
1521C2×C22⋊C4—28no—
1522C2×C22⋊C4—216no—
1523C2×C22⋊C4—216no—
1524C2×C22⋊C4—216no—
1525C2×C22⋊C4—216no—
1526C2×C22⋊C4—28no—
1527C2×C22⋊C4—28no—
1528C2×C22⋊C4—28no—
1529C2×C22⋊C4—28no—
1530C2×C22⋊C4—28no—
1531C2×C22⋊C4—28no—
1532C2×C22⋊C4—216no—
1533C2×C22⋊C4—216no—
1534C2×C22⋊C4—28no—
1535C2×C22⋊C4—28no—
1536C2×C22⋊C4—216no—
1537C2×C22⋊C4—28no—
1538C2×C22⋊C4—216no—
1539C2×C22⋊C4—216no—
1540C2×C22⋊C4—28no—
1541C2×C22⋊C4—28no—
1542C2×C22⋊C4—28no—
1543C2×C22⋊C4—28no—
1544C2×C22⋊C4—28no—
1545C2×C22⋊C4—216no—
1546C2×C22⋊C4—24no—
1547C2×C22⋊C4—24no—
1548C2×C22⋊C4—24no—
1549C2×C22⋊C4—24no—
1550C2×C22⋊C4—28no—
1551C2×C22⋊C4—28no—
1552C2×C22⋊C4—28no—
1553C2×C22⋊C4—24no—
1554C2×C22⋊C4—24no—
1555C2×C22⋊C4—216no—
1556C2×C22⋊C4—24no—
1557C2×C22⋊C4—24no—
1558C2×C22⋊C4—28no—
1559C2×C22⋊C4—24no—
1560C2×C22⋊C4—28no—
1561C2×C22⋊C4—24no—
1562C2×C22⋊C4—28no—
1563C2×C22⋊C4—216no—
1564C2×C22⋊C4—28no—
1565C2×C22⋊C4—28no—
1566C2×C22⋊C4—28no—
1567C2×C22⋊C4—28no—
1568C2×C22⋊C4—28no—
1569C2×C22⋊C4—28no—
1570C2×C22⋊C4—24no—
1571C2×C22⋊C4—24no—
1572C2×C22⋊C4—216no—
1573C2×C22⋊C4—216no—
1574C2×C22⋊C4—216no—
1575C2×C22⋊C4—216no—
1576C2×C22⋊C4—28no—
1577C2×C22⋊C4—216no—
1578C2×C22⋊C4—216no—
1579C2×C22⋊C4—28no—
1580C2×C22⋊C4—28no—
1581C2×C22⋊C4—28no—
1582C2×C22⋊C4—28no—
1583C2×C22⋊C4—24no—
1584C2×C22⋊C4—24no—
1585C2×C22⋊C4—28no—
1586C2×C22⋊C4—216no—
1587C2×C22⋊C4—28no—
1588C2×C22⋊C4—28no—
1589C2×C22⋊C4—216no—
1590C2×C22⋊C4—216no—
1591C2×C22⋊C4—44no—
1592C2×C22⋊C4—44no—
1593C2×C22⋊C4—48no—
1594C2×C22⋊C4—44no—
1595C2×C22⋊C4—44no—
1596C2×C22⋊C4—44no—
1597C2×C22⋊C4—44no—
1598C2×C22⋊C4—48no—
1599C2×C22⋊C4—48no—
1600C2×C22⋊C4—48no—
1601C2×C22⋊C4—44no—
1602C2×C22⋊C4—42no—
1603C2×C22⋊C4—42no—
1604C2×C22⋊C4—48no—
1605C2×C22⋊C4—44no—
1606C2×C22⋊C4—44no—
1607C2×C22⋊C4—48no—
1608C2×C22⋊C4—48no—
1609C2×C22⋊C4—44no—
1610C2×C22⋊C4—44no—
1611C2×C22⋊C4—48no—
1612C2×C22⋊C4—48no—
1613C2×C22⋊C4—48no—
1614C2×C22⋊C4—48no—
1615C2×C22⋊C4—44no—
1616C2×C22⋊C4—44no—
1617C2×C22⋊C4—44no—
1618C2×C22⋊C4—44no—
1619C2×C22⋊C4—48no—
1620C2×C22⋊C4—44no—
1621C2×C22⋊C4—44no—
1622C2×C22⋊C4—48no—
1623C2×C22⋊C4—44no—
1624C2×C22⋊C4—44no—
1625C2×C22⋊C4—48no—
1626C2×C22⋊C4—48no—
1627C2×C22⋊C4—48no—
1628C2×C22⋊C4—48no—
1629C2×C22⋊C4—48no—
1630C2×C22⋊C4—48no—
1631C2×C22⋊C4—44no—
1632C2×C22⋊C4—48no—
1633C2×C22⋊C4—48no—
1634C2×C22⋊C4—48no—
1635C2×C22⋊C4—48no—
1636C2×C22⋊C4—48no—
1637C2×C22⋊C4—48no—
1638C2×C22⋊C4—48no—
1639C2×C22⋊C4—48no—
1640C2×C22⋊C4—48no—
1641C2×C22⋊C4—44no—
1642C2×C22⋊C4—48no—
1643C2×C22⋊C4—48no—
1644C2×C22⋊C4—44no—
1645C2×C22⋊C4—44no—
1646C2×C22⋊C4—48no—
1647C2×C22⋊C4—48no—
1648C2×C22⋊C4—48no—
1649C2×C22⋊C4—48no—
1650C2×C22⋊C4—48no—
1651C2×C22⋊C4—48no—
1652C2×C22⋊C4—832no—
1653C2×C22⋊C4—864no—
1654C2×C22⋊C4C22×D4116yes—
1655C2×C22⋊C4C22×D4116yes—
1656C2×C22⋊C4C22×D4132yes—
1657C2×C22⋊C4C22×D4116yes—
1658C2×C22⋊C4C22×D4116yes—
1659C2×C42—24no—
1660C2×C42—24no—
1661C2×C42—24no—
1662C2×C42—24no—
1663C2×C42—24no—
1664C2×C42—232no—
1665C2×C42—24no—
1666C2×C42—24no—
1667C2×C42—24no—
1668C2×C42—24no—
1669C2×C42—28no—
1670C2×C42—24no—
1671C2×C42—44no—
1672C2×C42C22×D414yes—
1673C2×C42C22×D414yes—
1674C2×C42C22×D414yes—
1675C2×C42C22×D414yes—
1676C2×C42C22×D418yes—
1677C2×C42H(5,𝔽2)18yescomplemented
1678#95—28no—
1679#95—28no—
1680#95—24no—
1681#95—24no—
1682#95—24no—
1683#95—24no—
1684#95—24no—
1685#95—24no—
1686#95—28no—
1687#95—28no—
1688#95—28no—
1689#95—28no—
1690#95—216no—
1691#95—216no—
1692#95—216no—
1693#95—28no—
1694#95—28no—
1695#95—24no—
1696#95—28no—
1697#95—28no—
1698#95—28no—
1699#95—28no—
1700#95—24no—
1701#95—48no—
1702#95—44no—
1703#95—44no—
1704#95—48no—
1705#95—44no—
1706#95—48no—
1707#95—48no—
1708#95—48no—
1709#95—48no—
1710#95—48no—
1711#95—48no—
1712#95—48no—
1713#95—48no—
1714#95—44no—
1715#95—42no—
1716#95—42no—
1717C24—216no—
1718C24—216no—
1719C24—232no—
1720C24—24no—
1721C24—24no—
1722C24—22no—
1723C24—24no—
1724C24—22no—
1725C24—24no—
1726C24—28no—
1727C24—21no—
1728C24—24no—
1729C24—24no—
1730C24—24no—
1731C24—28no—
1732C24—24no—
1733C24—22no—
1734C24—24no—
1735C24—24no—
1736C24—24no—
1737C24—22no—
1738C24—24no—
1739C24—24no—
1740C24—24no—
1741C24—21no—
1742C24—24no—
1743C24—24no—
1744C24—24no—
1745C24—22no—
1746C24—24no—
1747C24—28no—
1748C24—232no—
1749C24—216no—
1750C24—22no—
1751C24—22no—
1752C24—24no—
1753C24—24no—
1754C24—24no—
1755C24—24no—
1756C24—24no—
1757C24—22no—
1758C24—24no—
1759C24—24no—
1760C24—22no—
1761C24—24no—
1762C24—24no—
1763C24—22no—
1764C24—28no—
1765C24—28no—
1766C24—24no—
1767C24—24no—
1768C24—24no—
1769C24—22no—
1770C24—28no—
1771C24—24no—
1772C24—22no—
1773C24—22no—
1774C24—24no—
1775C24—28no—
1776C24—24no—
1777C24—24no—
1778C24—264no—
1779C24—264no—
1780C24—432no—
1781C24—416no—
1782C24—48no—
1783C24—48no—
1784C24—432no—
1785C24—432no—
1786C24—432no—
1787C24—432no—
1788C24—432no—
1789C24—432no—
1790C24—432no—
1791C24—432no—
1792C24—416no—
1793C24—432no—
1794C24—416no—
1795C24—416no—
1796C24—432no—
1797C24—416no—
1798C24—88no—
1799C24—88no—
1800C24—84no—
1801C24—84no—
1802C24—88no—
1803C24—88no—
1804C24—88no—
1805C24—88no—
1806C24—84no—
1807C24—88no—
1808C24—84no—
1809C24—84no—
1810C24—84no—
1811C24—88no—
1812C24—88no—
1813C24—88no—
1814C24—816no—
1815C24—816no—
1816C24—816no—
1817C24—816no—
1818C24—816no—
1819C24—816no—
1820C24—816no—
1821C24—816no—
1822C24—816no—
1823C24—88no—
1824C24—816no—
1825C24—88no—
1826C24—816no—
1827C24—816no—
1828C24—816no—
1829C24—816no—
1830C24—816no—
1831C24—816no—
1832C24—816no—
1833C24—816no—
1834C24—816no—
1835C24—816no—
1836C24—816no—
1837C24—88no—
1838C24—88no—
1839C24—88no—
1840C24—816no—
1841C24—816no—
1842C24—88no—
1843C24—168no—
1844C24—168no—
1845C24—168no—
1846C24—168no—
1847C24—168no—
1848C24—168no—
1849C24—168no—
1850C24—168no—
1851C24—168no—
1852C24—168no—
1853C24—168no—
1854C24C23×D418yes—
1855C24C23×D4116yes—
1856C24C23×D418yes—
1857C24C23×D418yes—
1858C24C23×D412yes—
1859C24C2×H(5,𝔽2)14yes—
1860C24C2×H(5,𝔽2)18yes—
1861C24C2×H(5,𝔽2)18yes—
1862C24C2×H(5,𝔽2)14yes—
1863C24#58514yes—
1864C24C2611yescharacteristic
1865#41—4256no—
1866#41—4256no—
1867#41—4512no—
1868#41—4512no—
1869C2×Q8—216no—
1870C2×Q8—216no—
1871C2×Q8—48no—
1872C2×Q8—48no—
1873C2×Q8—432no—
1874C2×Q8—432no—
1875C2×Q8—48no—
1876C2×Q8—48no—
1877C2×D4—216no—
1878C2×D4—216no—
1879C2×D4—232no—
1880C2×D4—216no—
1881C2×D4—216no—
1882C2×D4—232no—
1883C2×D4—2256no—
1884C2×D4—232no—
1885C2×D4—232no—
1886C2×D4—264no—
1887C2×D4—232no—
1888C2×D4—232no—
1889C2×D4—216no—
1890C2×D4—28no—
1891C2×D4—264no—
1892C2×D4—232no—
1893C2×D4—232no—
1894C2×D4—264no—
1895C2×D4—216no—
1896C2×D4—264no—
1897C2×D4—264no—
1898C2×D4—216no—
1899C2×D4—216no—
1900C2×D4—232no—
1901C2×D4—216no—
1902C2×D4—216no—
1903C2×D4—216no—
1904C2×D4—216no—
1905C2×D4—28no—
1906C2×D4—232no—
1907C2×D4—216no—
1908C2×D4—216no—
1909C2×D4—48no—
1910C2×D4—48no—
1911C2×D4—432no—
1912C2×D4—48no—
1913C2×D4—416no—
1914C2×D4—432no—
1915C2×D4—48no—
1916C2×D4—432no—
1917C2×D4—416no—
1918C2×D4—432no—
1919C2×D4—432no—
1920C2×D4—432no—
1921C2×D4—432no—
1922C2×D4—416no—
1923C2×D4—416no—
1924C2×D4—48no—
1925C2×D4—44no—
1926C2×D4—432no—
1927C2×D4—432no—
1928C2×D4—4512no—
1929C2×D4—4512no—
1930C2×D4—432no—
1931C2×D4—432no—
1932C2×D4—432no—
1933C2×D4—432no—
1934C2×D4—432no—
1935C2×D4—432no—
1936C2×D4—432no—
1937C2×D4—432no—
1938C2×D4—432no—
1939C2×D4—416no—
1940C2×D4—416no—
1941C2×D4—416no—
1942C2×D4—432no—
1943C2×D4—41024no—
1944C2×D4—416no—
1945C2×D4—416no—
1946C2×D4—432no—
1947C2×D4—416no—
1948C2×D4—432no—
1949C2×D4—432no—
1950C2×D4—416no—
1951C2×D4—416no—
1952C2×D4—416no—
1953C2×D4—416no—
1954C2×D4—432no—
1955C2×D4—432no—
1956C2×D4—432no—
1957C2×D4—48no—
1958C2×D4—48no—
1959C2×D4—416no—
1960C2×D4—416no—
1961C2×D4—416no—
1962C2×D4—432no—
1963C2×D4—432no—
1964C2×D4—416no—
1965C2×D4—416no—
1966C2×D4—48no—
1967C2×D4—48no—
1968C2×D4—416no—
1969C2×D4—432no—
1970C2×D4—44no—
1971C2×D4—44no—
1972C2×D4—48no—
1973C2×D4—48no—
1974C2×D4—48no—
1975C2×D4—48no—
1976C2×D4—48no—
1977C2×D4—48no—
1978C2×D4—44no—
1979C2×D4—84no—
1980C2×D4—84no—
1981C2×D4—816no—
1982C2×D4—816no—
1983C2×D4—8256no—
1984C2×D4—88no—
1985C2×D4—84no—
1986C2×D4—84no—
1987C2×D4—816no—
1988C2×D4—88no—
1989C2×D4—88no—
1990C2×D4—88no—
1991C2×D4—88no—
1992C2×D4—816no—
1993C2×D4—816no—
1994C2×D4—816no—
1995C2×D4—816no—
1996C2×D4—816no—
1997C2×D4—816no—
1998C2×D4—816no—
1999C2×D4—816no—
2000C2×D4—816no—
2001C2×D4—816no—
2002C2×D4—816no—
2003C2×D4—816no—
2004C2×D4—816no—
2005C2×D4—88no—
2006C2×D4—816no—
2007C2×D4—816no—
2008C2×D4—88no—
2009C2×D4—816no—
2010C2×D4—816no—
2011C2×D4—816no—
2012C2×D4—8128no—
2013C2×D4—8128no—
2014C2×D4—8512no—
2015C2×D4C2×#120132yes—
2016C2×D4C2×#120132yes—
2017C2×D4C2×#120132yes—
2018C22×C4—232no—
2019C22×C4—22no—
2020C22×C4—22no—
2021C22×C4—22no—
2022C22×C4—22no—
2023C22×C4—22no—
2024C22×C4—22no—
2025C22×C4—28no—
2026C22×C4—28no—
2027C22×C4—28no—
2028C22×C4—264no—
2029C22×C4—24no—
2030C22×C4—22no—
2031C22×C4—22no—
2032C22×C4—24no—
2033C22×C4—24no—
2034C22×C4—24no—
2035C22×C4—28no—
2036C22×C4—24no—
2037C22×C4—24no—
2038C22×C4—22no—
2039C22×C4—24no—
2040C22×C4—21no—
2041C22×C4—24no—
2042C22×C4—24no—
2043C22×C4—24no—
2044C22×C4—24no—
2045C22×C4—24no—
2046C22×C4—28no—
2047C22×C4—28no—
2048C22×C4—28no—
2049C22×C4—24no—
2050C22×C4—22no—
2051C22×C4—21no—
2052C22×C4—24no—
2053C22×C4—24no—
2054C22×C4—22no—
2055C22×C4—24no—
2056C22×C4—232no—
2057C22×C4—232no—
2058C22×C4—216no—
2059C22×C4—28no—
2060C22×C4—232no—
2061C22×C4—232no—
2062C22×C4—232no—
2063C22×C4—232no—
2064C22×C4—28no—
2065C22×C4—232no—
2066C22×C4—28no—
2067C22×C4—28no—
2068C22×C4—22no—
2069C22×C4—22no—
2070C22×C4—22no—
2071C22×C4—22no—
2072C22×C4—22no—
2073C22×C4—22no—
2074C22×C4—24no—
2075C22×C4—28no—
2076C22×C4—24no—
2077C22×C4—24no—
2078C22×C4—24no—
2079C22×C4—28no—
2080C22×C4—24no—
2081C22×C4—24no—
2082C22×C4—24no—
2083C22×C4—22no—
2084C22×C4—22no—
2085C22×C4—28no—
2086C22×C4—24no—
2087C22×C4—24no—
2088C22×C4—24no—
2089C22×C4—24no—
2090C22×C4—24no—
2091C22×C4—28no—
2092C22×C4—28no—
2093C22×C4—22no—
2094C22×C4—24no—
2095C22×C4—22no—
2096C22×C4—28no—
2097C22×C4—24no—
2098C22×C4—22no—
2099C22×C4—24no—
2100C22×C4—22no—
2101C22×C4—22no—
2102C22×C4—24no—
2103C22×C4—22no—
2104C22×C4—24no—
2105C22×C4—24no—
2106C22×C4—24no—
2107C22×C4—24no—
2108C22×C4—28no—
2109C22×C4—24no—
2110C22×C4—416no—
2111C22×C4—432no—
2112C22×C4—44no—
2113C22×C4—44no—
2114C22×C4—432no—
2115C22×C4—432no—
2116C22×C4—432no—
2117C22×C4—432no—
2118C22×C4—432no—
2119C22×C4—432no—
2120C22×C4—416no—
2121C22×C4—432no—
2122C22×C4—416no—
2123C22×C4—432no—
2124C22×C4—432no—
2125C22×C4—48no—
2126C22×C4—48no—
2127C22×C4—432no—
2128C22×C4—432no—
2129C22×C4—48no—
2130C22×C4—416no—
2131C22×C4—416no—
2132C22×C4—48no—
2133C22×C4—416no—
2134C22×C4—416no—
2135C22×C4—48no—
2136C22×C4—48no—
2137C22×C4—416no—
2138C22×C4—48no—
2139C22×C4—416no—
2140C22×C4—48no—
2141C22×C4—88no—
2142C22×C4—88no—
2143C22×C4—88no—
2144C22×C4—88no—
2145C22×C4—88no—
2146C22×C4—88no—
2147C22×C4—88no—
2148C22×C4—816no—
2149C22×C4—816no—
2150C22×C4—8128no—
2151C22×C4—88no—
2152C22×C4—88no—
2153C22×C4—84no—
2154C22×C4—84no—
2155C22×C4—816no—
2156C22×C4—816no—
2157C22×C4—816no—
2158C22×C4—816no—
2159C22×C4—88no—
2160C22×C4—88no—
2161C22×C4—88no—
2162C22×C4—816no—
2163C22×C4—168no—
2164C22×C4C23×D418yes—
2165C22×C4C23×D418yes—
2166C22×C4C23×D412yes—
2167C22×C4C23×D412yes—
2168C22×C4C23×D418yes—
2169C22×C4C23×D414yes—
2170C22×C4C23×D414yes—
2171C22×C4C23×D412yes—
2172C22×C4C23×D412yes—
2173C22×C4C23×D412yes—
2174C22×C4C23×D414yes—
2175C22×C4C23×D412yes—
2176C22×C4C2×H(5,𝔽2)18yes—
2177C22×C4C2×H(5,𝔽2)14yes—
2178C22×C4C2×H(5,𝔽2)12yes—
2179C22×C4C2×H(5,𝔽2)14yes—
2180C22×C4#58512yes—
2181C4⋊C4—216no—
2182C4⋊C4—264no—
2183C4⋊C4—216no—
2184C4⋊C4—216no—
2185C4⋊C4—216no—
2186C4⋊C4—216no—
2187C4⋊C4—216no—
2188C4⋊C4—416no—
2189C4⋊C4—44no—
2190C4⋊C4—44no—
2191C4⋊C4—44no—
2192C4⋊C4—44no—
2193C4⋊C4—416no—
2194C4⋊C4—44no—
2195C4⋊C4—44no—
2196C4⋊C4—88no—
2197C4⋊C4—84no—
2198C4⋊C4—84no—
2199C22⋊C4—232no—
2200C22⋊C4—232no—
2201C22⋊C4—264no—
2202C22⋊C4—232no—
2203C22⋊C4—264no—
2204C22⋊C4—232no—
2205C22⋊C4—232no—
2206C22⋊C4—232no—
2207C22⋊C4—416no—
2208C22⋊C4—416no—
2209C22⋊C4—416no—
2210C22⋊C4—432no—
2211C22⋊C4—416no—
2212C22⋊C4—416no—
2213C22⋊C4—432no—
2214C22⋊C4—48no—
2215C22⋊C4—48no—
2216C22⋊C4—416no—
2217C22⋊C4—432no—
2218C22⋊C4—416no—
2219C22⋊C4—48no—
2220C22⋊C4—48no—
2221C22⋊C4—48no—
2222C22⋊C4—48no—
2223C22⋊C4—88no—
2224C22⋊C4—88no—
2225C22⋊C4—816no—
2226C22⋊C4—88no—
2227C22⋊C4—84no—
2228C22⋊C4—84no—
2229C22⋊C4—88no—
2230C22⋊C4—88no—
2231C22⋊C4—816no—
2232C22⋊C4—816no—
2233C22⋊C4—88no—
2234C22⋊C4—816no—
2235C22⋊C4—88no—
2236C22⋊C4—88no—
2237C22⋊C4—84no—
2238C22⋊C4—88no—
2239C22⋊C4—84no—
2240C22⋊C4—816no—
2241C22⋊C4—816no—
2242C22⋊C4—816no—
2243C22⋊C4—88no—
2244C22⋊C4—816no—
2245C22⋊C4—88no—
2246C22⋊C4—816no—
2247C22⋊C4—816no—
2248C22⋊C4—168no—
2249C22⋊C4—168no—
2250C42—28no—
2251C42—28no—
2252C42—28no—
2253C42—216no—
2254C42—48no—
2255C42—48no—
2256C42—48no—
2257C42C2×#120116yes—
2258C23—264no—
2259C23—28no—
2260C23—216no—
2261C23—216no—
2262C23—28no—
2263C23—28no—
2264C23—28no—
2265C23—28no—
2266C23—216no—
2267C23—216no—
2268C23—28no—
2269C23—28no—
2270C23—22no—
2271C23—28no—
2272C23—28no—
2273C23—28no—
2274C23—28no—
2275C23—28no—
2276C23—28no—
2277C23—216no—
2278C23—28no—
2279C23—216no—
2280C23—22no—
2281C23—28no—
2282C23—22no—
2283C23—28no—
2284C23—22no—
2285C23—28no—
2286C23—28no—
2287C23—28no—
2288C23—28no—
2289C23—22no—
2290C23—28no—
2291C23—28no—
2292C23—24no—
2293C23—24no—
2294C23—28no—
2295C23—28no—
2296C23—22no—
2297C23—28no—
2298C23—28no—
2299C23—216no—
2300C23—28no—
2301C23—24no—
2302C23—28no—
2303C23—24no—
2304C23—28no—
2305C23—28no—
2306C23—216no—
2307C23—28no—
2308C23—24no—
2309C23—24no—
2310C23—28no—
2311C23—28no—
2312C23—28no—
2313C23—4128no—
2314C23—44no—
2315C23—44no—
2316C23—44no—
2317C23—44no—
2318C23—42no—
2319C23—44no—
2320C23—44no—
2321C23—42no—
2322C23—44no—
2323C23—44no—
2324C23—44no—
2325C23—42no—
2326C23—44no—
2327C23—42no—
2328C23—44no—
2329C23—44no—
2330C23—44no—
2331C23—44no—
2332C23—48no—
2333C23—44no—
2334C23—44no—
2335C23—48no—
2336C23—44no—
2337C23—48no—
2338C23—44no—
2339C23—44no—
2340C23—48no—
2341C23—48no—
2342C23—48no—
2343C23—44no—
2344C23—44no—
2345C23—44no—
2346C23—48no—
2347C23—44no—
2348C23—48no—
2349C23—48no—
2350C23—42no—
2351C23—44no—
2352C23—42no—
2353C23—48no—
2354C23—42no—
2355C23—42no—
2356C23—44no—
2357C23—44no—
2358C23—42no—
2359C23—42no—
2360C23—48no—
2361C23—44no—
2362C23—48no—
2363C23—44no—
2364C23—44no—
2365C23—44no—
2366C23—44no—
2367C23—44no—
2368C23—44no—
2369C23—42no—
2370C23—44no—
2371C23—42no—
2372C23—42no—
2373C23—44no—
2374C23—42no—
2375C23—44no—
2376C23—48no—
2377C23—48no—
2378C23—48no—
2379C23—44no—
2380C23—42no—
2381C23—42no—
2382C23—44no—
2383C23—44no—
2384C23—48no—
2385C23—48no—
2386C23—44no—
2387C23—44no—
2388C23—42no—
2389C23—42no—
2390C23—48no—
2391C23—44no—
2392C23—48no—
2393C23—48no—
2394C23—44no—
2395C23—832no—
2396C23—816no—
2397C23—832no—
2398C23—816no—
2399C23—864no—
2400C23—864no—
2401C23—864no—
2402C23—864no—
2403C23—832no—
2404C23—832no—
2405C23—816no—
2406C23—816no—
2407C23—832no—
2408C23—816no—
2409C23—816no—
2410C23—832no—
2411C23—864no—
2412C23—832no—
2413C23—1616no—
2414C23—1632no—
2415C23—1632no—
2416C23—1632no—
2417C23—1632no—
2418C23—1632no—
2419C23—1632no—
2420C23—1632no—
2421C23—1632no—
2422C23—1616no—
2423C23—1632no—
2424C23—1632no—
2425C23—1632no—
2426C23—1632no—
2427C23—1616no—
2428C23—1616no—
2429C23—1632no—
2430C23C22×#120116yes—
2431C23#348414yes—
2432C23#3484116yes—
2433C23C24×D412yes—
2434C23C24×D411yescharacteristic
2435C23C22×H(5,𝔽2)11yescharacteristic
2436C23C22×H(5,𝔽2)12yes—
2437C23C22×H(5,𝔽2)12yes—
2438C23C22×H(5,𝔽2)12yes—
2439C23C2×#58512yes—
2440C23C2×#58511yescharacteristic
2441C23H(7,𝔽2)12yes—
2442Q8—432no—
2443Q8—432no—
2444D4—264no—
2445D4—264no—
2446D4—264no—
2447D4—432no—
2448D4—432no—
2449D4—432no—
2450D4—416no—
2451D4—464no—
2452D4—4128no—
2453D4—464no—
2454D4—4128no—
2455D4—464no—
2456D4—432no—
2457D4—416no—
2458D4—864no—
2459D4—816no—
2460D4—864no—
2461D4—832no—
2462D4—816no—
2463D4—816no—
2464D4—832no—
2465D4—832no—
2466D4—864no—
2467D4—864no—
2468C2×C4—232no—
2469C2×C4—28no—
2470C2×C4—22no—
2471C2×C4—28no—
2472C2×C4—22no—
2473C2×C4—22no—
2474C2×C4—28no—
2475C2×C4—22no—
2476C2×C4—22no—
2477C2×C4—22no—
2478C2×C4—28no—
2479C2×C4—28no—
2480C2×C4—28no—
2481C2×C4—216no—
2482C2×C4—28no—
2483C2×C4—28no—
2484C2×C4—22no—
2485C2×C4—22no—
2486C2×C4—22no—
2487C2×C4—28no—
2488C2×C4—22no—
2489C2×C4—22no—
2490C2×C4—22no—
2491C2×C4—28no—
2492C2×C4—28no—
2493C2×C4—28no—
2494C2×C4—28no—
2495C2×C4—464no—
2496C2×C4—464no—
2497C2×C4—4128no—
2498C2×C4—44no—
2499C2×C4—44no—
2500C2×C4—44no—
2501C2×C4—44no—
2502C2×C4—48no—
2503C2×C4—48no—
2504C2×C4—48no—
2505C2×C4—44no—
2506C2×C4—42no—
2507C2×C4—44no—
2508C2×C4—44no—
2509C2×C4—42no—
2510C2×C4—44no—
2511C2×C4—44no—
2512C2×C4—44no—
2513C2×C4—44no—
2514C2×C4—416no—
2515C2×C4—464no—
2516C2×C4—44no—
2517C2×C4—48no—
2518C2×C4—48no—
2519C2×C4—48no—
2520C2×C4—44no—
2521C2×C4—44no—
2522C2×C4—48no—
2523C2×C4—42no—
2524C2×C4—42no—
2525C2×C4—44no—
2526C2×C4—42no—
2527C2×C4—42no—
2528C2×C4—48no—
2529C2×C4—44no—
2530C2×C4—44no—
2531C2×C4—42no—
2532C2×C4—42no—
2533C2×C4—42no—
2534C2×C4—42no—
2535C2×C4—42no—
2536C2×C4—42no—
2537C2×C4—42no—
2538C2×C4—42no—
2539C2×C4—44no—
2540C2×C4—44no—
2541C2×C4—44no—
2542C2×C4—48no—
2543C2×C4—42no—
2544C2×C4—42no—
2545C2×C4—42no—
2546C2×C4—42no—
2547C2×C4—48no—
2548C2×C4—44no—
2549C2×C4—44no—
2550C2×C4—44no—
2551C2×C4—42no—
2552C2×C4—42no—
2553C2×C4—44no—
2554C2×C4—48no—
2555C2×C4—48no—
2556C2×C4—44no—
2557C2×C4—44no—
2558C2×C4—88no—
2559C2×C4—816no—
2560C2×C4—832no—
2561C2×C4—816no—
2562C2×C4—864no—
2563C2×C4—816no—
2564C2×C4—1616no—
2565C2×C4C22×#12014yes—
2566C2×C4C22×#12014yes—
2567C2×C4C22×#12014yes—
2568C2×C4#348414yes—
2569C2×C4#348418yes—
2570C2×C4#348814yes—
2571C2×C4#349618yes—
2572C2×C4#349814yes—
2573C22—24no—
2574C22—216no—
2575C22—216no—
2576C22—216no—
2577C22—216no—
2578C22—24no—
2579C22—216no—
2580C22—216no—
2581C22—24no—
2582C22—42no—
2583C22—48no—
2584C22—48no—
2585C22—42no—
2586C22—48no—
2587C22—48no—
2588C22—48no—
2589C22—48no—
2590C22—48no—
2591C22—416no—
2592C22—416no—
2593C22—42no—
2594C22—48no—
2595C22—48no—
2596C22—48no—
2597C22—48no—
2598C22—42no—
2599C22—48no—
2600C22—416no—
2601C22—48no—
2602C22—48no—
2603C22—48no—
2604C22—48no—
2605C22—416no—
2606C22—48no—
2607C22—48no—
2608C22—48no—
2609C22—48no—
2610C22—44no—
2611C22—48no—
2612C22—416no—
2613C22—44no—
2614C22—44no—
2615C22—44no—
2616C22—44no—
2617C22—48no—
2618C22—48no—
2619C22—416no—
2620C22—416no—
2621C22—44no—
2622C22—864no—
2623C22—82no—
2624C22—82no—
2625C22—82no—
2626C22—82no—
2627C22—82no—
2628C22—84no—
2629C22—88no—
2630C22—84no—
2631C22—88no—
2632C22—84no—
2633C22—82no—
2634C22—84no—
2635C22—82no—
2636C22—84no—
2637C22—88no—
2638C22—82no—
2639C22—84no—
2640C22—16128no—
2641C22—1664no—
2642C22C23×#12011yescharacteristic
2643C22C2×#348411yescharacteristic
2644C22C2×#348414yes—
2645C22C2×#348411yescharacteristic
2646C22C2×#348412yes—
2647C22C2×#349612yes—
2648C22C2×#348811yescharacteristic
2649C22C2×#349811yescharacteristic
2650C22#6281111yescharacteristic
2651C22#6281814yes—
2652C22#6285211yescharacteristic
2653C22#6289212yes—
2654C22#6290512yes—
2655C22#6291214yes—
2656C22#6298714yes—
2657C22#6301212yes—
2658C22#6301812yes—
2659C4—24no—
2660C4—24no—
2661C4—24no—
2662C4—48no—
2663C4—48no—
2664C4—42no—
2665C4—48no—
2666C4—42no—
2667C4—48no—
2668C4—82no—
2669C4—82no—
2670C4—82no—
2671C4—84no—
2672C4—82no—
2673C4—82no—
2674C4—88no—
2675C4—82no—
2676C4#3568018yes—
2677C2—44no—
2678C2—416no—
2679C2—416no—
2680C2—88no—
2681C2—84no—
2682C2—84no—
2683C2C2×#3568011yescharacteristic
2684C2#763093911yescharacteristic
2685C2#763183811yescharacteristic
2686C2#772931411yescharacteristic
2687C2#773805911yescharacteristic
2688C2#774655811yescharacteristic
2689C2#775804511yescharacteristic
2690C2#784993014yes—
2691C2#784997714yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C26
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×#3496C2semidirect
2. C2×#45355C2semidirect
3. C2×#59041C2semidirect
4. #5956191C2semidirect
5. #4928938C2semidirect
6. #4312027C2semidirect
7. D4×#392C2semidirect
8. #1394155C2semidirect
9. #1262353C2semidirect
10. #1260445C2semidirect
11. #1085256C2semidirect
12. #1082737C2semidirect
13. #777338C2semidirect
14. #777321C2semidirect
15. #777314C2semidirect
16. #726432C2semidirect
17. #725993C2semidirect
18. #647676C2semidirect
19. #647663C2semidirect
20. #637269C2semidirect
21. #612797C2semidirect
22. #607767C2semidirect
23. #539101C2semidirect
24. #530247C2semidirect
25. C23×H(5,𝔽2)C22semidirect
28. C22×#547C22semidirect
29. C22×#547C22semidirect
30. C22×#546C22semidirect
31. C22×#546C22semidirect
33. C22×D42C22semidirect
34. C22×D42C22semidirect
35. C22×D42C22semidirect
36. C22×#537C22semidirect
37. C22×#534C22semidirect
39. C22×#532C22semidirect
40. C23×#121C22semidirect
41. C23×C4×D4C22semidirect
43. C2×#2684C22semidirect
44. C2×#2668C22semidirect
45. C2×#2668C22semidirect
47. C2×#2847C22semidirect
48. C2×#2563C22semidirect
49. C2×#2563C22semidirect
50. C2×#2535C22semidirect
51. C2×#2535C22semidirect
52. C2×#2535C22semidirect
53. C2×#2535C22semidirect
54. C2×#2535C22semidirect
55. C2×#2404C22semidirect
56. C2×#2404C22semidirect
57. C2×#2420C22semidirect
58. C2×#2420C22semidirect
59. C2×#2408C22semidirect
60. C2×#2408C22semidirect
61. C2×#2408C22semidirect
62. C2×#2408C22semidirect
63. C2×#2403C22semidirect
64. C2×#2403C22semidirect
65. C2×#2403C22semidirect
66. C2×#2397C22semidirect
67. C22×#392C22semidirect
68. C2×#2366C22semidirect
69. C2×D4×C22⋊C4C22semidirect
70. C2×D4×C22⋊C4C22semidirect
71. C2×D4×C22⋊C4C22semidirect
72. C2×#2328C22semidirect
73. C2×#2328C22semidirect
74. C2×C4×#121C22semidirect
75. C2×C4×#121C22semidirect
76. C2×C4×#120C22semidirect
77. #16632C22semidirect
78. #16600C22semidirect
79. #16558C22semidirect
80. #16509C22semidirect
81. #16364C22semidirect
82. #16362C22semidirect
83. #16361C22semidirect
84. #16263C22semidirect
85. #16258C22semidirect
86. #16255C22semidirect
87. #16252C22semidirect
88. #16249C22semidirect
89. #15948C22semidirect
90. #15669C22semidirect
91. #15463C22semidirect
92. #15412C22semidirect
93. #15368C22semidirect
94. #15368C22semidirect
95. #15277C22semidirect
96. #15277C22semidirect
97. #15273C22semidirect
98. #15273C22semidirect
99. #15270C22semidirect
100. #15270C22semidirect
101. #15263C22semidirect
102. #15263C22semidirect
103. #15257C22semidirect
104. #15257C22semidirect
105. #15230C22semidirect
106. #15219C22semidirect
107. #15219C22semidirect
108. #15181C22semidirect
109. #15159C22semidirect
110. #15144C22semidirect
111. #15142C22semidirect
112. #15140C22semidirect
113. #15125C22semidirect
114. #15124C22semidirect
115. #15124C22semidirect
116. #15124C22semidirect
117. #15123C22semidirect
118. #15123C22semidirect
119. #15123C22semidirect
120. #15123C22semidirect
121. #14915C22semidirect
122. #14885C22semidirect
123. #14885C22semidirect
124. #14885C22semidirect
125. #14885C22semidirect
126. #14885C22semidirect
127. #14885C22semidirect
128. #14811C22semidirect
129. #14807C22semidirect
130. #14796C22semidirect
131. #14795C22semidirect
132. #14777C22semidirect
133. #14776C22semidirect
134. #14759C22semidirect
135. #14757C22semidirect
136. #14734C22semidirect
137. #14727C22semidirect
138. #14722C22semidirect
139. #14718C22semidirect
140. #14717C22semidirect
141. #14716C22semidirect
142. #14716C22semidirect
143. #14716C22semidirect
144. #14715C22semidirect
145. #14715C22semidirect
146. #14715C22semidirect
147. #14715C22semidirect
148. #14715C22semidirect
149. #14715C22semidirect
150. #14715C22semidirect
151. #14682C22semidirect
152. #14680C22semidirect
153. #14473C22semidirect
154. #14417C22semidirect
155. #14417C22semidirect
156. #14357C22semidirect
157. #14335C22semidirect
158. #14299C22semidirect
159. #14282C22semidirect
160. #14175C22semidirect
161. #14137C22semidirect
162. #14134C22semidirect
163. #13970C22semidirect
164. #13970C22semidirect
165. #13970C22semidirect
166. #13967C22semidirect
167. #13967C22semidirect
168. #13956C22semidirect
169. #13956C22semidirect
170. #13941C22semidirect
171. #13916C22semidirect
172. #13905C22semidirect
173. #13902C22semidirect
174. #13894C22semidirect
175. #13881C22semidirect
176. #13872C22semidirect
177. #13872C22semidirect
178. #13867C22semidirect
179. #13867C22semidirect
180. #13867C22semidirect
181. C4×#392C22semidirect
182. C4×#392C22semidirect
183. #13847C22semidirect
184. D4×#95C22semidirect
185. #13785C22semidirect
186. #13753C22semidirect
224. C2×D42D4semidirect
232. C2×#532D4semidirect
580. C22×#41C2×D4semidirect
625. C23×D4C2×D4semidirect
626. C23×D4C2×D4semidirect
684. C2×C4⋊Q8C2×D4semidirect
695. C2×#124C2×D4semidirect
748. C2×#121C2×D4semidirect
749. C2×#121C2×D4semidirect
750. C2×#121C2×D4semidirect
751. C2×#121C2×D4semidirect
779. C2×#120C2×D4semidirect
817. C2×C4×D4C2×D4semidirect
818. C2×C4×D4C2×D4semidirect
819. C2×C4×D4C2×D4semidirect
820. C2×C4×D4C2×D4semidirect
907. C22×C42C2×D4semidirect
1323. C22×D4H(5,𝔽2)semidirect
1421. #127#120semidirect
1677. C2×C42H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C22×#34962
C2×#453552
C2×#590412
#59561912
#49289382
#43120272
D4×#3922
#13941552
#12623532
#12604452
#10852562
#10827372
#7773382
#7773212
#7773142
#7264322
#7259932
#6476762
#6476632
#6372692
#6127972
#6077672
#5391012
#5302472