Finite Group Databasebeta

← #72335118

Subgroups — #72335118

Order 1024.

67210 conjugacy classes of subgroups.

The subgroup lattice has 2265 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×#121C211yesmaximal, characteristic, complemented
2C2×#59013C213yesmaximal, complemented
3#846561C216yesmaximal, complemented
4#845849C216yesmaximal, complemented
5#759464C213yesmaximal, complemented
6#759305C213yesmaximal, complemented
7#649469C216yesmaximal, complemented
8#649049C216yesmaximal, complemented
9#648733C213yesmaximal, complemented
10#648354C213yesmaximal, complemented
11#648036C213yesmaximal, complemented
12#647676C213yesmaximal, complemented
13#612922C211yesmaximal, characteristic, complemented
14#612792C211yesmaximal, characteristic, complemented
15#612642C212yesmaximal, complemented
16#612634C212yesmaximal, complemented
17#612433C212yesmaximal, complemented
18C4×#2846C211yesmaximal, characteristic, complemented
19C2×#14680C211yesmaximal, characteristic, complemented
20#531611C213yesmaximal, complemented
21D4×#379C212yesmaximal, complemented
22D4×#379C211yesmaximal, characteristic, complemented
23#519290C211yesmaximal, characteristic, complemented
24C25×D4C2212yes—
25C25×D4C2211yescharacteristic
26C26×C4C2211yescharacteristic
27C22×#553C2211yescharacteristic, complemented
28C23×#121—248no—
29C23×#121C2213yes—
30C23×#121C2216yes—
31C23×#121C2213yes—
32C23×#121C2216yes—
33C23×#121C2213yes—
34C23×#121C2213yes—
35C24×C4⋊C4C2211yescharacteristic
36C24×C22⋊C4C2212yes—
37#59013—248no—
38C2×#2703C2216yescomplemented
39C2×#2691C2216yescomplemented
40C2×#2846C2211yescharacteristic
41C2×#2846C2212yes—
42C2×#2535C2213yescomplemented
43C2×#2543C2216yescomplemented
44C2×#2490C2213yescomplemented
45C2×#2504C2213yescomplemented
46C2×#2414C2213yescomplemented
47C2×#2420C2213yescomplemented
48C2×#2442C2213yescomplemented
49C2×#2416C2213yescomplemented
50C2×#2408C2213yescomplemented
51C2×#2408C2213yescomplemented
52C2×#2444C2216yescomplemented
53C2×#2480C2216yescomplemented
54C2×#2412C2216yescomplemented
55C2×#2410C2216yescomplemented
56C2×#2410C2216yescomplemented
57C2×#2361C2213yescomplemented
58C2×#2352C2213yescomplemented
59C2×D4×C22⋊C4C2213yescomplemented
60C2×D4×C22⋊C4C2216yescomplemented
61C2×D4×C22⋊C4C2216yescomplemented
62C2×D4×C22⋊C4C2213yescomplemented
63C2×C4×#120C2211yescharacteristic
64C2×C4×#120C2213yescomplemented
65C2×C4×#120C2213yescomplemented
66C22×#380C2213yescomplemented
67C22×#380C2213yescomplemented
68C22×#379C2212yes—
69C22×#379C2212yes—
70#16362C22112yescomplemented
71#16261C2216yescomplemented
72#16260C2216yescomplemented
73#15984C22112yescomplemented
74#15674C22112yescomplemented
75#15338C22112yescomplemented
76#15320C22112yescomplemented
77#15319C22112yescomplemented
78#15312C22112yescomplemented
79#15277C22112yescomplemented
80#15273C22112yescomplemented
81#15219C2216yescomplemented
82#15219C2216yescomplemented
83#15126C2216yescomplemented
84#15123C2216yescomplemented
85#14913C22112yescomplemented
86#14822C2216yescomplemented
87#14820C2216yescomplemented
88#14820C2216yescomplemented
89#14820C2216yescomplemented
90#14757C2216yescomplemented
91#14747C2216yescomplemented
92#14728C2216yescomplemented
93#14727C2216yescomplemented
94#14727C2216yescomplemented
95#14726C2216yescomplemented
96#14725C2216yescomplemented
97#14725C2216yescomplemented
98#14724C2216yescomplemented
99#14724C2216yescomplemented
100#14724C2216yescomplemented
101#14715C2216yescomplemented
102#14715C2216yescomplemented
103#14715C2216yescomplemented
104#14694C2211yescharacteristic
105#14694C2212yes—
106#14694C2213yescomplemented
107#14694C2213yescomplemented
108#14693C2211yescharacteristic
109#14693C2212yes—
110#14693C2213yescomplemented
111#14693C2213yescomplemented
112#14680C2212yes—
113#14680C2211yescharacteristic
114#14680C2212yes—
115#14680C2211yescharacteristic
116#14680C2216yescomplemented
117#14680C2213yescomplemented
118#14680C2213yescomplemented
119#14679C2211yescharacteristic
120#14679C2212yes—
121#14679C2212yes—
122#14361C22112yescomplemented
123#14137C2216yescomplemented
124#14134C2216yescomplemented
125#14130C2213yescomplemented
126#14039C2216yescomplemented
127#14023C22112yescomplemented
128#14019C2216yescomplemented
129#13998C2216yescomplemented
130#13991C2216yescomplemented
131#13971C2216yescomplemented
132#13970C2216yescomplemented
133#13907C2213yescomplemented
134#13902C2213yescomplemented
135#13902C2216yescomplemented
136#13902C2213yescomplemented
137#13902C2216yescomplemented
138#13902C2213yescomplemented
139#13902C2213yescomplemented
140#13881C2213yescomplemented
141#13881C2213yescomplemented
142#13877C2216yescomplemented
143#13873C2216yescomplemented
144#13872C2213yescomplemented
145#13869C2216yescomplemented
146#13867C2216yescomplemented
147#13867C2216yescomplemented
148#13867C2216yescomplemented
149#13867C2216yescomplemented
150#13867C2216yescomplemented
151#13867C2216yescomplemented
152#13867C2216yescomplemented
153#13867C2216yescomplemented
154C22⋊C4×C4⋊C4C2213yescomplemented
155C4×#379C2212yes—
156C4×#379C2211yescharacteristic
157C4×#379C2213yescomplemented
158C4×#379C2213yescomplemented
159C2×C22⋊#95C2216yescomplemented
160C27C2311yescharacteristic
161C27C2312yes—
162C24×D4—224no—
163C24×D4—248no—
164C24×D4—216no—
165C24×D4—28no—
166C24×D4—412no—
167C24×D4—424no—
168C24×D4C2316yes—
169C24×D4C2313yes—
170C24×D4C2316yes—
171C24×D4C2316yes—
172C24×D4C2316yes—
173C24×D4C2316yes—
174C24×D4C2313yes—
175C25×C4—224no—
176C25×C4—28no—
177C25×C4—412no—
178C25×C4C2311yescharacteristic
179C25×C4C2313yes—
180C25×C4C2311yescharacteristic
181C25×C4C2312yes—
182C25×C4C2313yes—
183C25×C4C2313yes—
184C25×C4C2313yes—
185C2×#553—224no—
186C22×#126C2312yescomplemented
187C22×#125C2311yescharacteristic, complemented
188C22×#123C2312yescomplemented
189C22×#121—2512no—
190C22×#121—224no—
191C22×#121—248no—
192C22×#121—224no—
193C22×#121—248no—
194C22×#121—248no—
195C22×#121—248no—
196C22×#121—296no—
197C22×#121—296no—
198C22×#121—248no—
199C22×#121—224no—
200C22×#121—248no—
201C22×#121D4148yescomplemented
202C22×#121C2316yes—
203C22×#121C23112yes—
204C22×#121C2316yes—
205C22×#121C23112yes—
206C22×#121C2316yes—
207C22×#121C2316yes—
208C22×#121C2316yes—
209C22×#121C2313yes—
210C22×#121C2313yes—
211C22×#121C2313yes—
212C22×#121C2311yescharacteristic
213C22×#121C2312yescomplemented
214C22×#121C2311yescharacteristic, complemented
215C22×#121C2316yescomplemented
216C22×#121C2313yescomplemented
217C22×#120C2311yescharacteristic
218C22×#120C2313yes—
219C22×#120C2316yes—
220C22×#120C2313yes—
221C22×#120C2316yes—
222C22×C4×D4C2313yes—
223C22×C4×D4C2312yescomplemented
224C22×C4×D4C2311yescharacteristic, complemented
225C22×C4×D4C2311yescharacteristic, complemented
226C22×C4×D4C2316yescomplemented
227C22×C4×D4C2313yescomplemented
228C22×C4×D4C2313yescomplemented
229C22×#117C2311yescharacteristic, complemented
230C23×C4⋊C4—224no—
231C23×C4⋊C4C2313yes—
232C23×C4⋊C4C2316yes—
233C23×C4⋊C4C2313yes—
234C23×C4⋊C4C2311yescharacteristic, complemented
235C23×C4⋊C4C2313yescomplemented
236C23×C22⋊C4—248no—
237C23×C22⋊C4C2316yes—
238C23×C22⋊C4C2316yes—
239C23×C22⋊C4C2316yes—
240C23×C22⋊C4C2316yes—
241C23×C22⋊C4C2316yes—
242C23×C22⋊C4C2316yes—
243C23×C22⋊C4C2316yes—
244C23×C22⋊C4C2316yes—
245#2846—28no—
246#2846—48no—
247#2703—248no—
248#2691—248no—
249#2543—248no—
250#2535—224no—
251#2504—224no—
252#2490—224no—
253#2480—248no—
254#2444—248no—
255#2442—224no—
256#2420—224no—
257#2416—224no—
258#2414—224no—
259#2412—248no—
260#2410—248no—
261#2410—424no—
262#2408—224no—
263#2408—412no—
264C2×#400C2316yescomplemented
265C2×#398C2316yescomplemented
266C2×#397C2316yescomplemented
267C2×#397C2316yescomplemented
268C2×#397C2316yescomplemented
269C2×#397C2316yescomplemented
270C2×#397C2316yescomplemented
271C2×#396C2316yescomplemented
272C2×#394C2316yescomplemented
273C2×#394C2316yescomplemented
274C2×#394C2316yescomplemented
275C2×#394C2316yescomplemented
276C2×#394C2316yescomplemented
277C2×#394C23112yescomplemented
278C2×#394C2316yescomplemented
279C2×#392C2316yescomplemented
280C2×#392C2316yescomplemented
281C2×#392C2316yescomplemented
282C2×#392C23112yescomplemented
283C2×#392C2316yescomplemented
284#2361—224no—
285#2352—224no—
286D4×C22⋊C4—224no—
287D4×C22⋊C4—248no—
288D4×C22⋊C4—424no—
289D4×C22⋊C4—412no—
290C4×#120—224no—
291C4×#120—28no—
292C4×#120—412no—
293C2×#390C2313yescomplemented
294C2×#390C2316yescomplemented
295C2×#390C2313yescomplemented
296C2×#390C2316yescomplemented
297C2×#390C2313yescomplemented
298C2×#390C2313yescomplemented
299C2×#390C2316yescomplemented
300C2×#390C2316yescomplemented
301C2×#390C23112yescomplemented
302C2×#389C2313yescomplemented
303C2×#389C2313yescomplemented
304C2×#388C2316yescomplemented
305C2×#388C2316yescomplemented
306C2×#388C2316yescomplemented
307C2×#388C2316yescomplemented
308C2×#387C2316yescomplemented
309C2×#386C2316yes—
310C2×#386C2313yes—
311C2×#386C2313yes—
312C2×#386C2316yes—
313C2×#386C2313yes—
314C2×#386C2313yescomplemented
315C2×#386C2316yescomplemented
316C2×#386C2316yescomplemented
317C2×#386C2316yescomplemented
318C2×#386C2316yescomplemented
319C2×#386C2316yescomplemented
320C2×#386C2316yescomplemented
321C2×#386C2316yescomplemented
322C2×#386C2316yescomplemented
323C2×#386C2316yescomplemented
324C2×#386C2313yescomplemented
325C2×#386C23112yescomplemented
326C2×#386C23112yescomplemented
327C2×#386C23112yescomplemented
328C2×#386C23112yescomplemented
329C2×#386C2316yescomplemented
330C2×#385C2316yes—
331C2×#385C2313yes—
332C2×#385C2313yes—
333C2×#385C2316yes—
334C2×#385C2313yes—
335C2×#385C2316yescomplemented
336C2×#385C2313yescomplemented
337C2×#385C2313yescomplemented
338C2×#385C2316yescomplemented
339C2×#382C2313yescomplemented
340C2×#382C2313yescomplemented
341C2×#381C2316yescomplemented
342C2×#380—224no—
343C2×#380—412no—
344C2×#380C2313yes—
345C2×#380C2313yes—
346C2×#380C2313yes—
347C2×#380C2316yes—
348C2×#380C2313yes—
349C2×#380C2316yes—
350C2×#380C2316yes—
351C2×#380C2316yes—
352C2×#380C2313yescomplemented
353C2×#380C2313yescomplemented
354C2×#380C2313yescomplemented
355C2×#380C2316yescomplemented
356C2×#380C2316yescomplemented
357C2×#380C2316yescomplemented
358C2×#379—48no—
359C2×#379—48no—
360C2×#379C2313yes—
361C2×#379C2311yescharacteristic
362C2×#379C2312yes—
363C2×#379C2313yes—
364C2×#379C2313yes—
365C2×#379C2313yes—
366C2×#379C2316yes—
367C2×#379C2316yes—
368C2×#379C2311yescharacteristic
369C2×#379C2311yescharacteristic
370C2×#379C2312yes—
371C2×#379C2316yes—
372C2×#379C2316yes—
373C2×#379C2316yes—
374C2×#379C2313yes—
375C2×#379C2313yes—
376C2×#379C2316yes—
377C2×#379C2316yes—
378C2×#379C2316yes—
379C2×#379C2316yes—
380C2×#379C2316yes—
381C2×#379C2316yes—
382C2×#379C2316yes—
383C2×#379C2316yes—
384C2×#379C2316yes—
385C2×C4×C4⋊C4C2313yescomplemented
386C2×C4×C22⋊C4C2313yes—
387C2×C4×C22⋊C4C2313yes—
388C2×C4×C22⋊C4C2316yes—
389C2×C4×C22⋊C4C2313yes—
390C2×C4×C22⋊C4C2316yes—
391C2×C4×C22⋊C4C2313yescomplemented
392C2×C4×C22⋊C4C2313yescomplemented
393C2×C4×C22⋊C4C2316yescomplemented
394C22×#95C2316yescomplemented
395C22×#95C2316yescomplemented
396#1444C2316yescomplemented
397#1442C2316yescomplemented
398#1442C23112yescomplemented
399#1442C23112yescomplemented
400#1441C23112yescomplemented
401#1441C2316yescomplemented
402#1440C23112yescomplemented
403#1440C23112yescomplemented
404#1440C23112yescomplemented
405#1440C23112yescomplemented
406#1440C23112yescomplemented
407#1440C23112yescomplemented
408#1439C23112yescomplemented
409#1439C23112yescomplemented
410#1439C23112yescomplemented
411#1439C23112yescomplemented
412#1439C2316yescomplemented
413#1439C23112yescomplemented
414#1438C23112yescomplemented
415#1438C23112yescomplemented
416#1438C23112yescomplemented
417#1438C23112yescomplemented
418#1438C23112yescomplemented
419#1438C23112yescomplemented
420#1438C2316yescomplemented
421#1438C23112yescomplemented
422#1438C23112yescomplemented
423#1438C23112yescomplemented
424#1438C2316yescomplemented
425#1438C23112yescomplemented
426#1438C23112yescomplemented
427#1438C23112yescomplemented
428#1437C23112yescomplemented
429#1436C23112yescomplemented
430C4⋊#95C2316yescomplemented
431C4⋊#95C2316yescomplemented
432C22⋊#95C2316yes—
433C22⋊#95C2316yes—
434C22⋊#95C2316yes—
435C22⋊#95C2316yes—
436C22⋊#95C2316yes—
437C22⋊#95C2313yes—
438C22⋊#95C2313yes—
439C22⋊#95C2316yes—
440C22⋊#95C2316yes—
441C22⋊#95C2316yes—
442C22⋊#95C2316yes—
443C22⋊#95C2313yes—
444C22⋊#95C2316yes—
445C22⋊#95C2313yes—
446C22⋊#95C2313yes—
447C22⋊#95C2316yes—
448C22⋊#95C2316yes—
449C22⋊#95C2313yes—
450C22⋊#95C2316yescomplemented
451C22⋊#95C23112yescomplemented
452C22⋊#95C2316yescomplemented
453C22⋊#95C23112yescomplemented
454C22⋊#95C2316yescomplemented
455C22⋊#95C23112yescomplemented
456C22⋊#95C2316yescomplemented
457C26—212no—
458C26—212no—
459C26—224no—
460C26—24no—
461C26—24no—
462C26—28no—
463C26—28no—
464C26—28no—
465C26—46no—
466C26—46no—
467C26—412no—
468C26—412no—
469C26—412no—
470C26#4118yes—
471C26C2411yescharacteristic
472C26C2413yes—
473C26C2416yes—
474C26C2416yes—
475C26C2413yes—
476C23×D4—2128no—
477C23×D4—2256no—
478C23×D4—224no—
479C23×D4—224no—
480C23×D4—224no—
481C23×D4—224no—
482C23×D4—224no—
483C23×D4—224no—
484C23×D4—248no—
485C23×D4—224no—
486C23×D4—248no—
487C23×D4—248no—
488C23×D4—248no—
489C23×D4—248no—
490C23×D4—224no—
491C23×D4—224no—
492C23×D4—224no—
493C23×D4—224no—
494C23×D4—224no—
495C23×D4—212no—
496C23×D4—212no—
497C23×D4—224no—
498C23×D4—212no—
499C23×D4—212no—
500C23×D4—212no—
501C23×D4—412no—
502C23×D4—412no—
503C23×D4—424no—
504C23×D4—4192no—
505C23×D4—412no—
506C23×D4—412no—
507C23×D4—412no—
508C23×D4—4192no—
509C23×D4—424no—
510C23×D4—424no—
511C23×D4—424no—
512C23×D4—424no—
513C23×D4—4384no—
514C23×D4—4384no—
515C23×D4C2×D4124yes—
516C23×D4C2×D4148yes—
517C23×D4C2413yes—
518C23×D4C2411yescharacteristic
519C23×D4C2416yes—
520C23×D4C2413yes—
521C23×D4C24112yes—
522C23×D4C2416yes—
523C23×D4C2416yes—
524C23×D4C2416yes—
525C23×D4C2416yes—
526C23×D4C2412yes—
527C23×D4C2411yescharacteristic
528C23×D4C2413yes—
529C23×D4C2412yes—
530C23×D4C2416yes—
531C24×C4—212no—
532C24×C4—212no—
533C24×C4—2128no—
534C24×C4—212no—
535C24×C4—212no—
536C24×C4—212no—
537C24×C4—224no—
538C24×C4—224no—
539C24×C4—224no—
540C24×C4—224no—
541C24×C4—212no—
542C24×C4—224no—
543C24×C4—212no—
544C24×C4—212no—
545C24×C4—24no—
546C24×C4—28no—
547C24×C4—212no—
548C24×C4—212no—
549C24×C4—212no—
550C24×C4—212no—
551C24×C4—412no—
552C24×C4—412no—
553C24×C4—412no—
554C24×C4—412no—
555C24×C4—46no—
556C24×C4—46no—
557C24×C4—46no—
558C24×C4—412no—
559C24×C4—4192no—
560C24×C4—4192no—
561C24×C4C2×D4124yes—
562C24×C4#4118yes—
563C24×C4C2411yescharacteristic
564C24×C4C2413yes—
565C24×C4C2413yes—
566C24×C4C2413yes—
567C24×C4C2416yes—
568C24×C4C2416yes—
569C24×C4C2413yes—
570C24×C4C2413yes—
571C24×C4C2413yes—
572C24×C4C2416yes—
573C24×C4C2411yescharacteristic
574C24×C4C2413yes—
575C24×C4C2412yes—
576C24×C4C2416yes—
577C24×C4C2412yes—
578C24×C4C2416yes—
579#553—464no—
580C2×#126—224no—
581C2×#125—212no—
582C2×#123—224no—
583C2×#121—2384no—
584C2×#121—2768no—
585C2×#121—2384no—
586C2×#121—2384no—
587C2×#121—2768no—
588C2×#121—224no—
589C2×#121—248no—
590C2×#121—224no—
591C2×#121—248no—
592C2×#121—248no—
593C2×#121—248no—
594C2×#121—248no—
595C2×#121—224no—
596C2×#121—224no—
597C2×#121—224no—
598C2×#121—224no—
599C2×#121—2384no—
600C2×#121—212no—
601C2×#121—224no—
602C2×#121—212no—
603C2×#121—224no—
604C2×#121—224no—
605C2×#121—248no—
606C2×#121—224no—
607C2×#121—248no—
608C2×#121—248no—
609C2×#121—248no—
610C2×#121—248no—
611C2×#121—412no—
612C2×#121—424no—
613C2×#121C2×D4124yes—
614C2×#121C2×D4124yes—
615C2×#121C2×D4124yes—
616C2×#121C2×D4148yes—
617C2×#121C2×D4148yes—
618C2×#121C2×D4124yes—
619C2×#120—212no—
620C2×#120—212no—
621C2×#120—212no—
622C2×#120—24no—
623C2×#120—24no—
624C2×#120—24no—
625C2×#120—212no—
626C2×#120—224no—
627C2×#120—46no—
628C2×#120—46no—
629C2×#120—412no—
630C2×#120—412no—
631C2×#120—412no—
632C2×#120—412no—
633C2×#120—412no—
634C2×C4×D4—212no—
635C2×C4×D4—224no—
636C2×C4×D4—212no—
637C2×C4×D4—212no—
638C2×C4×D4—212no—
639C2×C4×D4—212no—
640C2×C4×D4—212no—
641C2×C4×D4—224no—
642C2×C4×D4—212no—
643C2×C4×D4—412no—
644C2×C4×D4—412no—
645C2×C4×D4—424no—
646C2×#117—212no—
647C22×C4⋊C4—2128no—
648C22×C4⋊C4—224no—
649C22×C4⋊C4—212no—
650C22×C4⋊C4—224no—
651C22×C4⋊C4—248no—
652C22×C4⋊C4—224no—
653C22×C4⋊C4—212no—
654C22×C4⋊C4—212no—
655C22×C4⋊C4—412no—
656C22×C4⋊C4C2×D4124yes—
657C22×C4⋊C4C2413yes—
658C22×C4⋊C4C2412yes—
659C22×C4⋊C4C2411yescharacteristic
660C22×C4⋊C4C2412yes—
661C22×C4⋊C4C2412yes—
662C22×C4⋊C4C2416yes—
663C22×C4⋊C4C2411yescharacteristic
664C22×C4⋊C4C2413yes—
665C22×C4⋊C4C2411yescharacteristic
666C22×C4⋊C4C2413yes—
667C22×C4⋊C4C2416yes—
668C22×C4⋊C4C2413yes—
669C22×C4⋊C4C2416yes—
670C22×C4⋊C4C2416yes—
671C22×C4⋊C4C2416yes—
672C22×C4⋊C4C2413yes—
673C22×C4⋊C4C2411yescharacteristic
674C22×C22⋊C4—2256no—
675C22×C22⋊C4—224no—
676C22×C22⋊C4—224no—
677C22×C22⋊C4—224no—
678C22×C22⋊C4—248no—
679C22×C22⋊C4—248no—
680C22×C22⋊C4—248no—
681C22×C22⋊C4—248no—
682C22×C22⋊C4—224no—
683C22×C22⋊C4—224no—
684C22×C22⋊C4—224no—
685C22×C22⋊C4—412no—
686C22×C22⋊C4—412no—
687C22×C22⋊C4—412no—
688C22×C22⋊C4—412no—
689C22×C22⋊C4—412no—
690C22×C22⋊C4—412no—
691C22×C22⋊C4—412no—
692C22×C22⋊C4—412no—
693C22×C22⋊C4—412no—
694C22×C22⋊C4C2×D4148yes—
695C22×C22⋊C4C2413yes—
696C22×C22⋊C4C2412yes—
697C22×C22⋊C4C2413yes—
698C22×C22⋊C4C2411yescharacteristic
699C22×C22⋊C4C2412yes—
700C22×C22⋊C4C2412yes—
701C22×C22⋊C4C24112yes—
702C22×C22⋊C4C2413yes—
703C22×C22⋊C4C2416yes—
704C22×C22⋊C4C2416yes—
705C22×C22⋊C4C2413yes—
706C22×C22⋊C4C2416yes—
707C22×C22⋊C4C2416yes—
708C22×C22⋊C4C2413yes—
709C22×C22⋊C4C2411yescharacteristic
710C22×C22⋊C4C2413yes—
711C22×C22⋊C4C2413yes—
712C22×C22⋊C4C2413yes—
713C22×C22⋊C4C2413yes—
714C22×C22⋊C4C2413yes—
715C22×C22⋊C4C2413yes—
716C22×C22⋊C4C2416yes—
717C22×C22⋊C4C2416yes—
718C22×C22⋊C4C2416yes—
719C22×C22⋊C4C2416yes—
720C22×C22⋊C4C2416yes—
721C22×C22⋊C4C2416yes—
722C22×C22⋊C4C24112yes—
723C22×C22⋊C4C2416yes—
724C22×C22⋊C4C2416yes—
725C22×C22⋊C4C2416yes—
726C22×C22⋊C4C2416yes—
727C22×C22⋊C4C2416yes—
728C22×C22⋊C4C2416yes—
729C22×C22⋊C4C2416yes—
730C22×C22⋊C4C2413yes—
731C22×C22⋊C4C2416yes—
732C22×C22⋊C4C2416yes—
733C22×C22⋊C4C2416yes—
734C22×C22⋊C4C2413yes—
735C22×C22⋊C4C2416yes—
736C22×C22⋊C4C2413yes—
737C22×C22⋊C4C2416yes—
738C22×C22⋊C4C24112yes—
739C22×C22⋊C4C24112yes—
740C22×C22⋊C4C24112yes—
741C22×C22⋊C4C24112yes—
742C22×C22⋊C4C2412yes—
743C22×C42C2412yes—
744C22×C42C2413yes—
745C22×C42C2411yescharacteristic
746C22×C42C2413yes—
747C22×C42C2416yes—
748#400—224no—
749#398—224no—
750#397—224no—
751#397—224no—
752#397—224no—
753#397—224no—
754#397—224no—
755#396—224no—
756#394—224no—
757#394—224no—
758#394—224no—
759#394—224no—
760#394—224no—
761#394—412no—
762#394—424no—
763#392—224no—
764#392—224no—
765#392—224no—
766#392—412no—
767#392—424no—
768#390—224no—
769#390—212no—
770#390—212no—
771#390—224no—
772#390—212no—
773#390—212no—
774#390—412no—
775#390—412no—
776#390—424no—
777#389—212no—
778#389—212no—
779#388—224no—
780#388—224no—
781#388—224no—
782#388—224no—
783#387—224no—
784#386—224no—
785#386—224no—
786#386—224no—
787#386—224no—
788#386—224no—
789#386—224no—
790#386—224no—
791#386—224no—
792#386—224no—
793#386—212no—
794#386—212no—
795#386—212no—
796#386—212no—
797#386—224no—
798#386—424no—
799#386—412no—
800#386—424no—
801#386—424no—
802#386—412no—
803#386—424no—
804#386—46no—
805#385—224no—
806#385—212no—
807#385—212no—
808#385—212no—
809#385—212no—
810#385—224no—
811#385—412no—
812#385—412no—
813#385—46no—
814#382—212no—
815#382—212no—
816#381—224no—
817#380—212no—
818#380—224no—
819#380—212no—
820#380—224no—
821#380—212no—
822#380—224no—
823#380—212no—
824#380—212no—
825#380—212no—
826#380—212no—
827#380—412no—
828#380—412no—
829#380—412no—
830#380—412no—
831#379—212no—
832#379—224no—
833#379—224no—
834#379—24no—
835#379—212no—
836#379—212no—
837#379—24no—
838#379—28no—
839#379—212no—
840#379—28no—
841#379—24no—
842#379—412no—
843#379—412no—
844#379—412no—
845#379—412no—
846#379—412no—
847#379—412no—
848#379—412no—
849#379—412no—
850#379—412no—
851#379—412no—
852#379—412no—
853#379—46no—
854#379—412no—
855#379—46no—
856C4×C4⋊C4—212no—
857C4×C22⋊C4—224no—
858C4×C22⋊C4—212no—
859C4×C22⋊C4—212no—
860C4×C22⋊C4—212no—
861C4×C22⋊C4—212no—
862C4×C22⋊C4—212no—
863C4×C22⋊C4—412no—
864C4×C22⋊C4—412no—
865C2×#95—224no—
866C2×#95—412no—
867C2×#95C2416yes—
868C2×#95C2416yes—
869C2×#95C2416yes—
870C2×#95C2416yes—
871C2×#95C2416yes—
872C2×#95C2416yes—
873C2×#95C2416yes—
874C2×#95C2416yes—
875C2×#95C2416yes—
876C2×#95C2413yes—
877C2×#95C2413yes—
878C2×#95C2413yes—
879C2×#95C2416yes—
880C2×#95C2413yes—
881C2×#95C2416yes—
882C2×#95C2416yes—
883C2×#95C2413yes—
884C2×#95C2413yes—
885C2×#95C2416yes—
886C2×#95C2416yes—
887C2×#95C2416yes—
888C2×#95C2416yes—
889C2×#95C24112yes—
890C2×#95C24112yes—
891C2×#95C2416yes—
892C2×#95C24112yes—
893C2×#95C2416yes—
894C2×#95C24112yes—
895C2×#95C24112yes—
896C25—26no—
897C25—26no—
898C25—26no—
899C25—26no—
900C25—232no—
901C25—296no—
902C25—296no—
903C25—212no—
904C25—212no—
905C25—26no—
906C25—26no—
907C25—26no—
908C25—26no—
909C25—212no—
910C25—212no—
911C25—26no—
912C25—26no—
913C25—264no—
914C25—232no—
915C25—224no—
916C25—224no—
917C25—212no—
918C25—26no—
919C25—26no—
920C25—26no—
921C25—26no—
922C25—212no—
923C25—212no—
924C25—212no—
925C25—212no—
926C25—212no—
927C25—212no—
928C25—212no—
929C25—212no—
930C25—212no—
931C25—212no—
932C25—212no—
933C25—212no—
934C25—46no—
935C25—46no—
936C25—448no—
937C25—46no—
938C25—46no—
939C25—412no—
940C25—412no—
941C25—412no—
942C25—412no—
943C25—412no—
944C25—412no—
945C25—448no—
946C25—448no—
947C25—448no—
948C25—448no—
949C25—496no—
950C25—496no—
951C25—496no—
952C25—448no—
953C25—448no—
954C25—496no—
955C25—496no—
956C25—496no—
957C25—496no—
958C25—432no—
959C25—848no—
960C25—848no—
961C25—848no—
962C25—896no—
963C25C22×D4124yes—
964C25C22×D4112yes—
965C25C2×#4114yes—
966C25C2×#4114yes—
967C25C2×#41112yes—
968C25C2×#41112yes—
969C25H(5,𝔽2)14yes—
970C25H(5,𝔽2)112yes—
971C25C2511yescharacteristic
972C25C2516yes—
973C25C2512yes—
974C25C2513yes—
975C25C2511yescharacteristic
976C25C2513yes—
977C22×D4—24no—
978C22×D4—212no—
979C22×D4—2192no—
980C22×D4—296no—
981C22×D4—2192no—
982C22×D4—2192no—
983C22×D4—2192no—
984C22×D4—2192no—
985C22×D4—224no—
986C22×D4—224no—
987C22×D4—224no—
988C22×D4—224no—
989C22×D4—224no—
990C22×D4—224no—
991C22×D4—212no—
992C22×D4—212no—
993C22×D4—212no—
994C22×D4—224no—
995C22×D4—212no—
996C22×D4—212no—
997C22×D4—212no—
998C22×D4—296no—
999C22×D4—2192no—
1000C22×D4—26no—
1001C22×D4—26no—
1002C22×D4—26no—
1003C22×D4—26no—
1004C22×D4—22no—
1005C22×D4—26no—
1006C22×D4—224no—
1007C22×D4—26no—
1008C22×D4—26no—
1009C22×D4—26no—
1010C22×D4—26no—
1011C22×D4—224no—
1012C22×D4—26no—
1013C22×D4—26no—
1014C22×D4—212no—
1015C22×D4—26no—
1016C22×D4—212no—
1017C22×D4—296no—
1018C22×D4—224no—
1019C22×D4—224no—
1020C22×D4—212no—
1021C22×D4—212no—
1022C22×D4—22no—
1023C22×D4—212no—
1024C22×D4—26no—
1025C22×D4—212no—
1026C22×D4—26no—
1027C22×D4—212no—
1028C22×D4—212no—
1029C22×D4—26no—
1030C22×D4—212no—
1031C22×D4—448no—
1032C22×D4—496no—
1033C22×D4—4192no—
1034C22×D4—496no—
1035C22×D4—496no—
1036C22×D4—496no—
1037C22×D4—412no—
1038C22×D4—412no—
1039C22×D4—412no—
1040C22×D4—412no—
1041C22×D4—412no—
1042C22×D4—412no—
1043C22×D4—496no—
1044C22×D4—496no—
1045C22×D4—41024no—
1046C22×D4—4192no—
1047C22×D4—496no—
1048C22×D4—448no—
1049C22×D4—46no—
1050C22×D4—46no—
1051C22×D4—42no—
1052C22×D4—46no—
1053C22×D4—46no—
1054C22×D4—412no—
1055C22×D4—412no—
1056C22×D4—46no—
1057C22×D4—496no—
1058C22×D4—4192no—
1059C22×D4—4192no—
1060C22×D4—4192no—
1061C22×D4—4192no—
1062C22×D4—4192no—
1063C22×D4—4192no—
1064C22×D4—496no—
1065C22×D4—496no—
1066C22×D4—4192no—
1067C22×D4—4192no—
1068C22×D4—42048no—
1069C22×D4—496no—
1070C22×D4—496no—
1071C22×D4—496no—
1072C22×D4—448no—
1073C22×D4C22×D4124yes—
1074C22×D4C22×D4112yes—
1075C22×D4C22×D4124yes—
1076C22×D4C22×D4124yes—
1077C22×D4C22×D4124yes—
1078C22×D4C22×D4124yes—
1079C22×D4C22×D4112yes—
1080C23×C4—232no—
1081C23×C4—296no—
1082C23×C4—26no—
1083C23×C4—26no—
1084C23×C4—296no—
1085C23×C4—212no—
1086C23×C4—212no—
1087C23×C4—22no—
1088C23×C4—26no—
1089C23×C4—212no—
1090C23×C4—212no—
1091C23×C4—232no—
1092C23×C4—264no—
1093C23×C4—296no—
1094C23×C4—296no—
1095C23×C4—296no—
1096C23×C4—26no—
1097C23×C4—212no—
1098C23×C4—212no—
1099C23×C4—212no—
1100C23×C4—26no—
1101C23×C4—212no—
1102C23×C4—26no—
1103C23×C4—212no—
1104C23×C4—296no—
1105C23×C4—296no—
1106C23×C4—212no—
1107C23×C4—212no—
1108C23×C4—224no—
1109C23×C4—224no—
1110C23×C4—212no—
1111C23×C4—212no—
1112C23×C4—212no—
1113C23×C4—212no—
1114C23×C4—26no—
1115C23×C4—26no—
1116C23×C4—26no—
1117C23×C4—212no—
1118C23×C4—26no—
1119C23×C4—26no—
1120C23×C4—26no—
1121C23×C4—26no—
1122C23×C4—212no—
1123C23×C4—26no—
1124C23×C4—212no—
1125C23×C4—212no—
1126C23×C4—212no—
1127C23×C4—212no—
1128C23×C4—224no—
1129C23×C4—212no—
1130C23×C4—26no—
1131C23×C4—22no—
1132C23×C4—212no—
1133C23×C4—26no—
1134C23×C4—212no—
1135C23×C4—448no—
1136C23×C4—46no—
1137C23×C4—46no—
1138C23×C4—46no—
1139C23×C4—46no—
1140C23×C4—46no—
1141C23×C4—46no—
1142C23×C4—412no—
1143C23×C4—412no—
1144C23×C4—448no—
1145C23×C4—496no—
1146C23×C4—496no—
1147C23×C4—496no—
1148C23×C4—496no—
1149C23×C4—496no—
1150C23×C4—496no—
1151C23×C4—42no—
1152C23×C4—46no—
1153C23×C4—46no—
1154C23×C4—42no—
1155C23×C4—412no—
1156C23×C4—46no—
1157C23×C4—46no—
1158C23×C4—46no—
1159C23×C4—412no—
1160C23×C4—412no—
1161C23×C4—46no—
1162C23×C4—448no—
1163C23×C4—448no—
1164C23×C4—496no—
1165C23×C4—448no—
1166C23×C4—496no—
1167C23×C4—496no—
1168C23×C4—41024no—
1169C23×C4—448no—
1170C23×C4—448no—
1171C23×C4—448no—
1172C23×C4—496no—
1173C23×C4—448no—
1174C23×C4C22×D4112yes—
1175C23×C4C22×D4112yes—
1176C23×C4C22×D4124yes—
1177C23×C4C22×D4112yes—
1178C23×C4C22×D4112yes—
1179C23×C4C22×D4112yes—
1180C23×C4C22×D4112yes—
1181C23×C4C2×#41112yes—
1182C23×C4C2×#41112yes—
1183C23×C4H(5,𝔽2)112yes—
1184C23×C4C2513yes—
1185C23×C4C2511yescharacteristic
1186C23×C4C2511yescharacteristic
1187C23×C4C2512yes—
1188C23×C4C2511yescharacteristic
1189C23×C4C2513yes—
1190C23×C4C2516yes—
1191C23×C4C2513yes—
1192C23×C4C2513yes—
1193C23×C4C2512yes—
1194C23×C4C2516yes—
1195C23×C4C2513yes—
1196C23×C4C2516yes—
1197C23×C4C2511yescharacteristic
1198C23×C4C2512yes—
1199C23×C4C2513yes—
1200C23×C4C2511yescharacteristic
1201#126—432no—
1202#125—416no—
1203#123—432no—
1204#121—2192no—
1205#121—2192no—
1206#121—2384no—
1207#121—2384no—
1208#121—2192no—
1209#121—296no—
1210#121—2192no—
1211#121—296no—
1212#121—296no—
1213#121—2192no—
1214#121—416no—
1215#121—432no—
1216#121—824no—
1217#121—848no—
1218#121#120164yescomplemented
1219#120—448no—
1220#120—448no—
1221#120—416no—
1222#120—848no—
1223#120—848no—
1224C4×D4—432no—
1225C4×D4—416no—
1226C4×D4—416no—
1227C4×D4—448no—
1228C4×D4—824no—
1229C4×D4—824no—
1230C4×D4—848no—
1231#117—416no—
1232C2×C4⋊C4—2192no—
1233C2×C4⋊C4—296no—
1234C2×C4⋊C4—224no—
1235C2×C4⋊C4—212no—
1236C2×C4⋊C4—224no—
1237C2×C4⋊C4—212no—
1238C2×C4⋊C4—296no—
1239C2×C4⋊C4—26no—
1240C2×C4⋊C4—26no—
1241C2×C4⋊C4—26no—
1242C2×C4⋊C4—26no—
1243C2×C4⋊C4—212no—
1244C2×C4⋊C4—212no—
1245C2×C4⋊C4—26no—
1246C2×C4⋊C4—26no—
1247C2×C4⋊C4—212no—
1248C2×C4⋊C4—26no—
1249C2×C4⋊C4—212no—
1250C2×C4⋊C4—212no—
1251C2×C4⋊C4—26no—
1252C2×C4⋊C4—212no—
1253C2×C4⋊C4—212no—
1254C2×C4⋊C4—26no—
1255C2×C4⋊C4—212no—
1256C2×C4⋊C4—416no—
1257C2×C4⋊C4—412no—
1258C2×C4⋊C4—412no—
1259C2×C4⋊C4—46no—
1260C2×C4⋊C4—412no—
1261C2×C4⋊C4—824no—
1262C2×C4⋊C4C22×D4112yes—
1263C2×C4⋊C4C22×D4124yes—
1264C2×C4⋊C4C22×D4112yes—
1265C2×C22⋊C4—2192no—
1266C2×C22⋊C4—2192no—
1267C2×C22⋊C4—2192no—
1268C2×C22⋊C4—224no—
1269C2×C22⋊C4—224no—
1270C2×C22⋊C4—224no—
1271C2×C22⋊C4—224no—
1272C2×C22⋊C4—224no—
1273C2×C22⋊C4—224no—
1274C2×C22⋊C4—2192no—
1275C2×C22⋊C4—26no—
1276C2×C22⋊C4—212no—
1277C2×C22⋊C4—212no—
1278C2×C22⋊C4—26no—
1279C2×C22⋊C4—26no—
1280C2×C22⋊C4—212no—
1281C2×C22⋊C4—212no—
1282C2×C22⋊C4—26no—
1283C2×C22⋊C4—26no—
1284C2×C22⋊C4—26no—
1285C2×C22⋊C4—26no—
1286C2×C22⋊C4—26no—
1287C2×C22⋊C4—26no—
1288C2×C22⋊C4—212no—
1289C2×C22⋊C4—26no—
1290C2×C22⋊C4—26no—
1291C2×C22⋊C4—26no—
1292C2×C22⋊C4—26no—
1293C2×C22⋊C4—26no—
1294C2×C22⋊C4—26no—
1295C2×C22⋊C4—212no—
1296C2×C22⋊C4—212no—
1297C2×C22⋊C4—26no—
1298C2×C22⋊C4—26no—
1299C2×C22⋊C4—212no—
1300C2×C22⋊C4—212no—
1301C2×C22⋊C4—26no—
1302C2×C22⋊C4—26no—
1303C2×C22⋊C4—212no—
1304C2×C22⋊C4—212no—
1305C2×C22⋊C4—212no—
1306C2×C22⋊C4—212no—
1307C2×C22⋊C4—26no—
1308C2×C22⋊C4—212no—
1309C2×C22⋊C4—26no—
1310C2×C22⋊C4—26no—
1311C2×C22⋊C4—26no—
1312C2×C22⋊C4—26no—
1313C2×C22⋊C4—26no—
1314C2×C22⋊C4—26no—
1315C2×C22⋊C4—26no—
1316C2×C22⋊C4—212no—
1317C2×C22⋊C4—212no—
1318C2×C22⋊C4—26no—
1319C2×C22⋊C4—26no—
1320C2×C22⋊C4—212no—
1321C2×C22⋊C4—26no—
1322C2×C22⋊C4—26no—
1323C2×C22⋊C4—26no—
1324C2×C22⋊C4—26no—
1325C2×C22⋊C4—212no—
1326C2×C22⋊C4—212no—
1327C2×C22⋊C4—212no—
1328C2×C22⋊C4—212no—
1329C2×C22⋊C4—26no—
1330C2×C22⋊C4—212no—
1331C2×C22⋊C4—212no—
1332C2×C22⋊C4—212no—
1333C2×C22⋊C4—212no—
1334C2×C22⋊C4—212no—
1335C2×C22⋊C4—212no—
1336C2×C22⋊C4—26no—
1337C2×C22⋊C4—212no—
1338C2×C22⋊C4—212no—
1339C2×C22⋊C4—224no—
1340C2×C22⋊C4—212no—
1341C2×C22⋊C4—26no—
1342C2×C22⋊C4—212no—
1343C2×C22⋊C4—46no—
1344C2×C22⋊C4—46no—
1345C2×C22⋊C4—46no—
1346C2×C22⋊C4—46no—
1347C2×C22⋊C4—46no—
1348C2×C22⋊C4—46no—
1349C2×C22⋊C4—46no—
1350C2×C22⋊C4—46no—
1351C2×C22⋊C4—412no—
1352C2×C22⋊C4—46no—
1353C2×C22⋊C4—46no—
1354C2×C22⋊C4—412no—
1355C2×C22⋊C4—412no—
1356C2×C22⋊C4—412no—
1357C2×C22⋊C4—412no—
1358C2×C22⋊C4—46no—
1359C2×C22⋊C4—412no—
1360C2×C22⋊C4—412no—
1361C2×C22⋊C4—46no—
1362C2×C22⋊C4—46no—
1363C2×C22⋊C4—46no—
1364C2×C22⋊C4—46no—
1365C2×C22⋊C4—46no—
1366C2×C22⋊C4—412no—
1367C2×C22⋊C4—412no—
1368C2×C22⋊C4—412no—
1369C2×C22⋊C4—412no—
1370C2×C22⋊C4—412no—
1371C2×C22⋊C4—412no—
1372C2×C22⋊C4—46no—
1373C2×C22⋊C4—46no—
1374C2×C22⋊C4—46no—
1375C2×C22⋊C4—412no—
1376C2×C22⋊C4—412no—
1377C2×C22⋊C4—412no—
1378C2×C22⋊C4—412no—
1379C2×C22⋊C4—412no—
1380C2×C22⋊C4—412no—
1381C2×C22⋊C4—412no—
1382C2×C22⋊C4—412no—
1383C2×C22⋊C4—848no—
1384C2×C22⋊C4—848no—
1385C2×C22⋊C4—848no—
1386C2×C22⋊C4—848no—
1387C2×C22⋊C4C22×D4124yes—
1388C2×C22⋊C4C22×D4124yes—
1389C2×C22⋊C4C22×D4124yes—
1390C2×C22⋊C4C22×D4124yes—
1391C2×C42—212no—
1392C2×C42—26no—
1393C2×C42—26no—
1394C2×C42—26no—
1395C2×C42—26no—
1396C2×C42—26no—
1397C2×C42—212no—
1398C2×C42—212no—
1399C2×C42—412no—
1400#95—212no—
1401#95—212no—
1402#95—212no—
1403#95—212no—
1404#95—212no—
1405#95—26no—
1406#95—212no—
1407#95—26no—
1408#95—26no—
1409#95—26no—
1410#95—26no—
1411#95—26no—
1412#95—212no—
1413#95—212no—
1414#95—212no—
1415#95—212no—
1416#95—212no—
1417#95—212no—
1418#95—212no—
1419#95—212no—
1420#95—212no—
1421#95—212no—
1422#95—412no—
1423#95—46no—
1424#95—46no—
1425#95—412no—
1426#95—412no—
1427#95—412no—
1428#95—412no—
1429C24—28no—
1430C24—224no—
1431C24—224no—
1432C24—224no—
1433C24—248no—
1434C24—26no—
1435C24—21no—
1436C24—23no—
1437C24—26no—
1438C24—21no—
1439C24—26no—
1440C24—23no—
1441C24—26no—
1442C24—224no—
1443C24—224no—
1444C24—224no—
1445C24—224no—
1446C24—224no—
1447C24—224no—
1448C24—224no—
1449C24—2256no—
1450C24—224no—
1451C24—248no—
1452C24—26no—
1453C24—23no—
1454C24—22no—
1455C24—22no—
1456C24—23no—
1457C24—23no—
1458C24—26no—
1459C24—22no—
1460C24—26no—
1461C24—26no—
1462C24—26no—
1463C24—23no—
1464C24—26no—
1465C24—26no—
1466C24—224no—
1467C24—224no—
1468C24—248no—
1469C24—248no—
1470C24—224no—
1471C24—224no—
1472C24—224no—
1473C24—248no—
1474C24—224no—
1475C24—224no—
1476C24—224no—
1477C24—224no—
1478C24—248no—
1479C24—212no—
1480C24—26no—
1481C24—26no—
1482C24—26no—
1483C24—26no—
1484C24—26no—
1485C24—212no—
1486C24—212no—
1487C24—212no—
1488C24—26no—
1489C24—248no—
1490C24—224no—
1491C24—224no—
1492C24—248no—
1493C24—248no—
1494C24—248no—
1495C24—23no—
1496C24—21no—
1497C24—21no—
1498C24—23no—
1499C24—23no—
1500C24—21no—
1501C24—23no—
1502C24—412no—
1503C24—412no—
1504C24—424no—
1505C24—424no—
1506C24—424no—
1507C24—424no—
1508C24—424no—
1509C24—424no—
1510C24—424no—
1511C24—424no—
1512C24—424no—
1513C24—424no—
1514C24—424no—
1515C24—424no—
1516C24—424no—
1517C24—424no—
1518C24—424no—
1519C24—424no—
1520C24—424no—
1521C24—424no—
1522C24—424no—
1523C24—424no—
1524C24—424no—
1525C24—424no—
1526C24—4384no—
1527C24—448no—
1528C24—448no—
1529C24—448no—
1530C24—448no—
1531C24—448no—
1532C24—448no—
1533C24—448no—
1534C24—448no—
1535C24—448no—
1536C24—448no—
1537C24—448no—
1538C24—448no—
1539C24—4128no—
1540C24—412no—
1541C24—4128no—
1542C24—4384no—
1543C24—4384no—
1544C24—4384no—
1545C24—412no—
1546C24—424no—
1547C24—4256no—
1548C24—4256no—
1549C24—424no—
1550C24—424no—
1551C24—4256no—
1552C24—424no—
1553C24—412no—
1554C24—412no—
1555C24—412no—
1556C24—412no—
1557C24—424no—
1558C24—424no—
1559C24—424no—
1560C24—424no—
1561C24—424no—
1562C24—424no—
1563C24—424no—
1564C24—424no—
1565C24—424no—
1566C24—424no—
1567C24—424no—
1568C24—824no—
1569C24—824no—
1570C24—824no—
1571C24—824no—
1572C24—824no—
1573C24—824no—
1574C24—824no—
1575C24—824no—
1576C24—824no—
1577C24—824no—
1578C24—824no—
1579C24—824no—
1580C24—8384no—
1581C24—8384no—
1582C24—8384no—
1583C24—8384no—
1584C24#546148yes—
1585C24#553116yescomplemented
1586C24C23×D4112yes—
1587C24C23×D4112yes—
1588C24C23×D416yes—
1589C24C23×D416yes—
1590C24C23×D416yes—
1591C24C22×#4116yes—
1592C24C22×#4112yes—
1593C24C22×#4116yes—
1594C24C22×#4116yes—
1595C24C2×H(5,𝔽2)16yes—
1596C24C2×H(5,𝔽2)16yes—
1597C24C2×H(5,𝔽2)16yes—
1598C24C2×H(5,𝔽2)16yes—
1599C24C2×H(5,𝔽2)16yes—
1600C24#58516yes—
1601C24C2611yescharacteristic
1602C2×D4—248no—
1603C2×D4—248no—
1604C2×D4—248no—
1605C2×D4—296no—
1606C2×D4—248no—
1607C2×D4—248no—
1608C2×D4—248no—
1609C2×D4—248no—
1610C2×D4—248no—
1611C2×D4—248no—
1612C2×D4—248no—
1613C2×D4—248no—
1614C2×D4—224no—
1615C2×D4—224no—
1616C2×D4—248no—
1617C2×D4—224no—
1618C2×D4—224no—
1619C2×D4—224no—
1620C2×D4—4384no—
1621C2×D4—424no—
1622C2×D4—424no—
1623C2×D4—424no—
1624C2×D4—448no—
1625C2×D4—448no—
1626C2×D4—448no—
1627C2×D4—448no—
1628C2×D4—448no—
1629C2×D4—448no—
1630C2×D4—448no—
1631C2×D4—448no—
1632C2×D4—4768no—
1633C2×D4—424no—
1634C2×D4—4384no—
1635C2×D4—4768no—
1636C2×D4—448no—
1637C2×D4—448no—
1638C2×D4—448no—
1639C2×D4—448no—
1640C2×D4—4768no—
1641C2×D4—4768no—
1642C2×D4—4768no—
1643C2×D4—448no—
1644C2×D4—448no—
1645C2×D4—448no—
1646C2×D4—448no—
1647C2×D4—424no—
1648C2×D4—44no—
1649C2×D4—412no—
1650C2×D4—412no—
1651C2×D4—412no—
1652C2×D4—412no—
1653C2×D4—412no—
1654C2×D4—412no—
1655C2×D4—412no—
1656C2×D4—412no—
1657C2×D4—412no—
1658C2×D4—412no—
1659C2×D4—48no—
1660C2×D4—424no—
1661C2×D4—424no—
1662C2×D4—424no—
1663C2×D4—86no—
1664C2×D4—86no—
1665C2×D4—812no—
1666C2×D4—812no—
1667C2×D4—812no—
1668C2×D4—812no—
1669C2×D4—812no—
1670C2×D4—812no—
1671C2×D4—824no—
1672C2×D4—1612no—
1673C2×D4C2×#120132yes—
1674C2×D4C2×#120116yes—
1675C22×C4—224no—
1676C22×C4—248no—
1677C22×C4—224no—
1678C22×C4—2256no—
1679C22×C4—26no—
1680C22×C4—21no—
1681C22×C4—22no—
1682C22×C4—26no—
1683C22×C4—23no—
1684C22×C4—26no—
1685C22×C4—224no—
1686C22×C4—224no—
1687C22×C4—224no—
1688C22×C4—248no—
1689C22×C4—248no—
1690C22×C4—224no—
1691C22×C4—224no—
1692C22×C4—248no—
1693C22×C4—224no—
1694C22×C4—248no—
1695C22×C4—248no—
1696C22×C4—26no—
1697C22×C4—212no—
1698C22×C4—23no—
1699C22×C4—26no—
1700C22×C4—23no—
1701C22×C4—26no—
1702C22×C4—26no—
1703C22×C4—212no—
1704C22×C4—224no—
1705C22×C4—224no—
1706C22×C4—248no—
1707C22×C4—224no—
1708C22×C4—248no—
1709C22×C4—224no—
1710C22×C4—224no—
1711C22×C4—224no—
1712C22×C4—224no—
1713C22×C4—224no—
1714C22×C4—224no—
1715C22×C4—23no—
1716C22×C4—23no—
1717C22×C4—23no—
1718C22×C4—23no—
1719C22×C4—26no—
1720C22×C4—26no—
1721C22×C4—23no—
1722C22×C4—26no—
1723C22×C4—26no—
1724C22×C4—23no—
1725C22×C4—23no—
1726C22×C4—23no—
1727C22×C4—23no—
1728C22×C4—23no—
1729C22×C4—23no—
1730C22×C4—21no—
1731C22×C4—21no—
1732C22×C4—26no—
1733C22×C4—26no—
1734C22×C4—212no—
1735C22×C4—212no—
1736C22×C4—23no—
1737C22×C4—23no—
1738C22×C4—23no—
1739C22×C4—23no—
1740C22×C4—26no—
1741C22×C4—212no—
1742C22×C4—26no—
1743C22×C4—212no—
1744C22×C4—26no—
1745C22×C4—23no—
1746C22×C4—21no—
1747C22×C4—22no—
1748C22×C4—26no—
1749C22×C4—22no—
1750C22×C4—23no—
1751C22×C4—23no—
1752C22×C4—23no—
1753C22×C4—26no—
1754C22×C4—26no—
1755C22×C4—23no—
1756C22×C4—26no—
1757C22×C4—23no—
1758C22×C4—26no—
1759C22×C4—26no—
1760C22×C4—26no—
1761C22×C4—23no—
1762C22×C4—412no—
1763C22×C4—412no—
1764C22×C4—412no—
1765C22×C4—424no—
1766C22×C4—424no—
1767C22×C4—424no—
1768C22×C4—424no—
1769C22×C4—424no—
1770C22×C4—4384no—
1771C22×C4—424no—
1772C22×C4—424no—
1773C22×C4—424no—
1774C22×C4—424no—
1775C22×C4—424no—
1776C22×C4—424no—
1777C22×C4—424no—
1778C22×C4—424no—
1779C22×C4—448no—
1780C22×C4—448no—
1781C22×C4—448no—
1782C22×C4—448no—
1783C22×C4—4384no—
1784C22×C4—4384no—
1785C22×C4—424no—
1786C22×C4—4384no—
1787C22×C4—4128no—
1788C22×C4—412no—
1789C22×C4—4256no—
1790C22×C4—424no—
1791C22×C4—412no—
1792C22×C4—424no—
1793C22×C4—424no—
1794C22×C4—424no—
1795C22×C4—424no—
1796C22×C4—48no—
1797C22×C4—48no—
1798C22×C4—424no—
1799C22×C4—44no—
1800C22×C4—412no—
1801C22×C4—412no—
1802C22×C4—824no—
1803C22×C4—812no—
1804C22×C4—812no—
1805C22×C4—812no—
1806C22×C4—812no—
1807C22×C4—812no—
1808C22×C4—812no—
1809C22×C4—812no—
1810C22×C4—812no—
1811C22×C4—812no—
1812C22×C4—824no—
1813C22×C4—824no—
1814C22×C4—1612no—
1815C22×C4C2×#120116yes—
1816C22×C4#546148yes—
1817C22×C4C23×D416yes—
1818C22×C4C23×D4112yes—
1819C22×C4C23×D4112yes—
1820C22×C4C23×D416yes—
1821C22×C4C23×D416yes—
1822C22×C4C23×D416yes—
1823C22×C4C22×#4116yes—
1824C22×C4C22×#4112yes—
1825C22×C4C2×H(5,𝔽2)16yes—
1826C22×C4C2×H(5,𝔽2)16yes—
1827C4⋊C4—248no—
1828C4⋊C4—248no—
1829C4⋊C4—224no—
1830C4⋊C4—44no—
1831C4⋊C4—44no—
1832C4⋊C4—48no—
1833C4⋊C4—48no—
1834C4⋊C4—44no—
1835C4⋊C4—48no—
1836C4⋊C4—412no—
1837C4⋊C4—412no—
1838C4⋊C4—412no—
1839C4⋊C4—812no—
1840C4⋊C4—812no—
1841C4⋊C4—86no—
1842C4⋊C4—812no—
1843C4⋊C4C2×#120116yes—
1844C22⋊C4—296no—
1845C22⋊C4—248no—
1846C22⋊C4—248no—
1847C22⋊C4—248no—
1848C22⋊C4—424no—
1849C22⋊C4—44no—
1850C22⋊C4—48no—
1851C22⋊C4—48no—
1852C22⋊C4—412no—
1853C22⋊C4—412no—
1854C22⋊C4—412no—
1855C22⋊C4—412no—
1856C22⋊C4—412no—
1857C22⋊C4—412no—
1858C22⋊C4—412no—
1859C22⋊C4—424no—
1860C22⋊C4—424no—
1861C22⋊C4—412no—
1862C22⋊C4—412no—
1863C22⋊C4—424no—
1864C22⋊C4—412no—
1865C22⋊C4—424no—
1866C22⋊C4—48no—
1867C22⋊C4—44no—
1868C22⋊C4—412no—
1869C22⋊C4—86no—
1870C22⋊C4—812no—
1871C22⋊C4—86no—
1872C22⋊C4—812no—
1873C22⋊C4—812no—
1874C22⋊C4—812no—
1875C22⋊C4—824no—
1876C22⋊C4—812no—
1877C22⋊C4—812no—
1878C22⋊C4—812no—
1879C22⋊C4—812no—
1880C22⋊C4—812no—
1881C22⋊C4—86no—
1882C22⋊C4—812no—
1883C22⋊C4—812no—
1884C22⋊C4—812no—
1885C22⋊C4—812no—
1886C22⋊C4—812no—
1887C22⋊C4—824no—
1888C22⋊C4—824no—
1889C22⋊C4—1612no—
1890C22⋊C4—1612no—
1891C22⋊C4C2×#120132yes—
1892C42—48no—
1893C42—44no—
1894C42—412no—
1895C42—412no—
1896C42—812no—
1897C23—232no—
1898C23—232no—
1899C23—232no—
1900C23—296no—
1901C23—296no—
1902C23—296no—
1903C23—26no—
1904C23—212no—
1905C23—26no—
1906C23—212no—
1907C23—26no—
1908C23—26no—
1909C23—212no—
1910C23—212no—
1911C23—26no—
1912C23—26no—
1913C23—212no—
1914C23—212no—
1915C23—26no—
1916C23—26no—
1917C23—26no—
1918C23—212no—
1919C23—212no—
1920C23—212no—
1921C23—212no—
1922C23—212no—
1923C23—296no—
1924C23—26no—
1925C23—212no—
1926C23—26no—
1927C23—212no—
1928C23—22no—
1929C23—296no—
1930C23—26no—
1931C23—26no—
1932C23—212no—
1933C23—212no—
1934C23—26no—
1935C23—212no—
1936C23—212no—
1937C23—26no—
1938C23—296no—
1939C23—26no—
1940C23—212no—
1941C23—26no—
1942C23—26no—
1943C23—212no—
1944C23—212no—
1945C23—296no—
1946C23—26no—
1947C23—26no—
1948C23—212no—
1949C23—212no—
1950C23—212no—
1951C23—26no—
1952C23—212no—
1953C23—212no—
1954C23—212no—
1955C23—212no—
1956C23—212no—
1957C23—212no—
1958C23—212no—
1959C23—448no—
1960C23—448no—
1961C23—448no—
1962C23—496no—
1963C23—448no—
1964C23—496no—
1965C23—448no—
1966C23—496no—
1967C23—496no—
1968C23—496no—
1969C23—496no—
1970C23—496no—
1971C23—496no—
1972C23—496no—
1973C23—448no—
1974C23—41024no—
1975C23—448no—
1976C23—496no—
1977C23—448no—
1978C23—496no—
1979C23—448no—
1980C23—448no—
1981C23—496no—
1982C23—496no—
1983C23—496no—
1984C23—46no—
1985C23—46no—
1986C23—46no—
1987C23—46no—
1988C23—46no—
1989C23—46no—
1990C23—46no—
1991C23—46no—
1992C23—412no—
1993C23—46no—
1994C23—46no—
1995C23—448no—
1996C23—46no—
1997C23—42no—
1998C23—46no—
1999C23—412no—
2000C23—412no—
2001C23—412no—
2002C23—46no—
2003C23—412no—
2004C23—412no—
2005C23—412no—
2006C23—46no—
2007C23—412no—
2008C23—412no—
2009C23—412no—
2010C23—412no—
2011C23—496no—
2012C23—412no—
2013C23—412no—
2014C23—46no—
2015C23—43no—
2016C23—43no—
2017C23—43no—
2018C23—43no—
2019C23—43no—
2020C23—43no—
2021C23—43no—
2022C23—46no—
2023C23—41no—
2024C23—43no—
2025C23—43no—
2026C23—41no—
2027C23—848no—
2028C23—848no—
2029C23—848no—
2030C23—896no—
2031C23—896no—
2032C23—896no—
2033C23—896no—
2034C23—896no—
2035C23—896no—
2036C23—896no—
2037C23—896no—
2038C23—81024no—
2039C23—848no—
2040C23—848no—
2041C23—848no—
2042C23—848no—
2043C23C22×#12018yes—
2044C23C22×#12014yes—
2045C23C2×#546112yes—
2046C23C2×#546112yes—
2047C23C2×#546112yes—
2048C23C2×#546112yes—
2049C23C2×#553112yes—
2050C23#3484112yes—
2051C23#3488112yes—
2052C23#3494112yes—
2053C23#3505112yes—
2054C23#3537112yes—
2055C23C24×D413yes—
2056C23C23×#4111yescharacteristic
2057C23C23×#4111yescharacteristic
2058C23C22×H(5,𝔽2)11yescharacteristic
2059C23C22×H(5,𝔽2)13yes—
2060C23C22×H(5,𝔽2)13yes—
2061C23C2×#58513yes—
2062D4—264no—
2063D4—232no—
2064D4—496no—
2065D4—496no—
2066D4—496no—
2067D4—496no—
2068D4—4192no—
2069D4—496no—
2070D4—448no—
2071D4—824no—
2072D4—88no—
2073D4—824no—
2074D4—168no—
2075D4—1624no—
2076C2×C4—296no—
2077C2×C4—212no—
2078C2×C4—26no—
2079C2×C4—26no—
2080C2×C4—212no—
2081C2×C4—26no—
2082C2×C4—26no—
2083C2×C4—212no—
2084C2×C4—212no—
2085C2×C4—296no—
2086C2×C4—232no—
2087C2×C4—26no—
2088C2×C4—212no—
2089C2×C4—26no—
2090C2×C4—212no—
2091C2×C4—26no—
2092C2×C4—212no—
2093C2×C4—448no—
2094C2×C4—448no—
2095C2×C4—448no—
2096C2×C4—496no—
2097C2×C4—496no—
2098C2×C4—448no—
2099C2×C4—496no—
2100C2×C4—46no—
2101C2×C4—412no—
2102C2×C4—46no—
2103C2×C4—412no—
2104C2×C4—448no—
2105C2×C4—412no—
2106C2×C4—46no—
2107C2×C4—412no—
2108C2×C4—43no—
2109C2×C4—43no—
2110C2×C4—43no—
2111C2×C4—43no—
2112C2×C4—46no—
2113C2×C4—43no—
2114C2×C4—43no—
2115C2×C4—43no—
2116C2×C4—46no—
2117C2×C4—46no—
2118C2×C4—46no—
2119C2×C4—43no—
2120C2×C4—46no—
2121C2×C4—43no—
2122C2×C4—46no—
2123C2×C4—43no—
2124C2×C4—46no—
2125C2×C4—46no—
2126C2×C4—46no—
2127C2×C4—43no—
2128C2×C4—46no—
2129C2×C4—43no—
2130C2×C4—43no—
2131C2×C4—43no—
2132C2×C4—43no—
2133C2×C4—46no—
2134C2×C4—46no—
2135C2×C4—46no—
2136C2×C4—46no—
2137C2×C4—46no—
2138C2×C4—412no—
2139C2×C4—412no—
2140C2×C4—41no—
2141C2×C4—41no—
2142C2×C4—42no—
2143C2×C4—41no—
2144C2×C4—42no—
2145C2×C4—43no—
2146C2×C4—43no—
2147C2×C4—43no—
2148C2×C4—43no—
2149C2×C4—43no—
2150C2×C4—43no—
2151C2×C4—43no—
2152C2×C4—88no—
2153C2×C4—1624no—
2154C2×C4—168no—
2155C2×C4—168no—
2156C2×C4—1624no—
2157C2×C4C22×#12018yes—
2158C2×C4C22×#12014yes—
2159C2×C4C22×#12014yes—
2160C2×C4C2×#546112yes—
2161C2×C4C2×#546112yes—
2162C2×C4#3484112yes—
2163C22—2128no—
2164C22—212no—
2165C22—212no—
2166C22—224no—
2167C22—212no—
2168C22—224no—
2169C22—212no—
2170C22—24no—
2171C22—212no—
2172C22—224no—
2173C22—212no—
2174C22—212no—
2175C22—224no—
2176C22—212no—
2177C22—212no—
2178C22—24no—
2179C22—212no—
2180C22—28no—
2181C22—212no—
2182C22—212no—
2183C22—28no—
2184C22—28no—
2185C22—212no—
2186C22—4192no—
2187C22—4192no—
2188C22—412no—
2189C22—412no—
2190C22—46no—
2191C22—46no—
2192C22—412no—
2193C22—412no—
2194C22—46no—
2195C22—412no—
2196C22—412no—
2197C22—412no—
2198C22—412no—
2199C22—46no—
2200C22—412no—
2201C22—412no—
2202C22—412no—
2203C22—412no—
2204C22—412no—
2205C22—412no—
2206C22—412no—
2207C22—8192no—
2208C22—8192no—
2209C22—812no—
2210C22—812no—
2211C22—812no—
2212C22—812no—
2213C22—83no—
2214C22—83no—
2215C22—81no—
2216C22—83no—
2217C22—83no—
2218C22—81no—
2219C22—81no—
2220C22#3615218yes—
2221C22#59013124yescomplemented
2222C22C23×#12011yescharacteristic
2223C22C22×#54613yes—
2224C22C22×#54613yes—
2225C22C22×#55311yescharacteristic
2226C22C2×#353713yes—
2227C22C2×#348413yes—
2228C22C2×#348413yes—
2229C22C2×#350513yes—
2230C22C2×#348813yes—
2231C22C2×#349413yes—
2232C22#6281113yes—
2233C22#6281816yes—
2234C4—212no—
2235C4—24no—
2236C4—28no—
2237C4—46no—
2238C4—412no—
2239C4—83no—
2240C4—86no—
2241C4—86no—
2242C4—83no—
2243C4—82no—
2244C4—81no—
2245C4—82no—
2246C4—83no—
2247C4—83no—
2248C4—81no—
2249C4—81no—
2250C4#3615218yes—
2251C2—224no—
2252C2—28no—
2253C2—412no—
2254C2—48no—
2255C2—812no—
2256C2—161no—
2257C2C2×#3615211yescharacteristic
2258C2C2×#3615211yescharacteristic
2259C2#763120211yescharacteristic
2260C2C2×#5901313yes—
2261C2#767020713yes—
2262C2#767188913yes—
2263C2#770871013yes—
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. C24×#121C2semidirect
2. C2×#59013C2semidirect
3. #846561C2semidirect
4. #845849C2semidirect
5. #759464C2semidirect
6. #759305C2semidirect
7. #649469C2semidirect
8. #649049C2semidirect
9. #648733C2semidirect
10. #648354C2semidirect
11. #648036C2semidirect
12. #647676C2semidirect
13. #612922C2semidirect
14. #612792C2semidirect
15. #612642C2semidirect
16. #612634C2semidirect
17. #612433C2semidirect
18. C4×#2846C2semidirect
19. C2×#14680C2semidirect
20. #531611C2semidirect
21. D4×#379C2semidirect
22. D4×#379C2semidirect
23. #519290C2semidirect
27. C22×#553C22semidirect
38. C2×#2703C22semidirect
39. C2×#2691C22semidirect
42. C2×#2535C22semidirect
43. C2×#2543C22semidirect
44. C2×#2490C22semidirect
45. C2×#2504C22semidirect
46. C2×#2414C22semidirect
47. C2×#2420C22semidirect
48. C2×#2442C22semidirect
49. C2×#2416C22semidirect
50. C2×#2408C22semidirect
51. C2×#2408C22semidirect
52. C2×#2444C22semidirect
53. C2×#2480C22semidirect
54. C2×#2412C22semidirect
55. C2×#2410C22semidirect
56. C2×#2410C22semidirect
57. C2×#2361C22semidirect
58. C2×#2352C22semidirect
59. C2×D4×C22⋊C4C22semidirect
60. C2×D4×C22⋊C4C22semidirect
61. C2×D4×C22⋊C4C22semidirect
62. C2×D4×C22⋊C4C22semidirect
64. C2×C4×#120C22semidirect
65. C2×C4×#120C22semidirect
66. C22×#380C22semidirect
67. C22×#380C22semidirect
70. #16362C22semidirect
71. #16261C22semidirect
72. #16260C22semidirect
73. #15984C22semidirect
74. #15674C22semidirect
75. #15338C22semidirect
76. #15320C22semidirect
77. #15319C22semidirect
78. #15312C22semidirect
79. #15277C22semidirect
80. #15273C22semidirect
81. #15219C22semidirect
82. #15219C22semidirect
83. #15126C22semidirect
84. #15123C22semidirect
85. #14913C22semidirect
86. #14822C22semidirect
87. #14820C22semidirect
88. #14820C22semidirect
89. #14820C22semidirect
90. #14757C22semidirect
91. #14747C22semidirect
92. #14728C22semidirect
93. #14727C22semidirect
94. #14727C22semidirect
95. #14726C22semidirect
96. #14725C22semidirect
97. #14725C22semidirect
98. #14724C22semidirect
99. #14724C22semidirect
100. #14724C22semidirect
101. #14715C22semidirect
102. #14715C22semidirect
103. #14715C22semidirect
106. #14694C22semidirect
107. #14694C22semidirect
110. #14693C22semidirect
111. #14693C22semidirect
116. #14680C22semidirect
117. #14680C22semidirect
118. #14680C22semidirect
122. #14361C22semidirect
123. #14137C22semidirect
124. #14134C22semidirect
125. #14130C22semidirect
126. #14039C22semidirect
127. #14023C22semidirect
128. #14019C22semidirect
129. #13998C22semidirect
130. #13991C22semidirect
131. #13971C22semidirect
132. #13970C22semidirect
133. #13907C22semidirect
134. #13902C22semidirect
135. #13902C22semidirect
136. #13902C22semidirect
137. #13902C22semidirect
138. #13902C22semidirect
139. #13902C22semidirect
140. #13881C22semidirect
141. #13881C22semidirect
142. #13877C22semidirect
143. #13873C22semidirect
144. #13872C22semidirect
145. #13869C22semidirect
146. #13867C22semidirect
147. #13867C22semidirect
148. #13867C22semidirect
149. #13867C22semidirect
150. #13867C22semidirect
151. #13867C22semidirect
152. #13867C22semidirect
153. #13867C22semidirect
154. C22⋊C4×C4⋊C4C22semidirect
157. C4×#379C22semidirect
158. C4×#379C22semidirect
159. C2×C22⋊#95C22semidirect
186. C22×#126C23semidirect
187. C22×#125C23semidirect
188. C22×#123C23semidirect
201. C22×#121D4semidirect
213. C22×#121C23semidirect
214. C22×#121C23semidirect
215. C22×#121C23semidirect
216. C22×#121C23semidirect
223. C22×C4×D4C23semidirect
224. C22×C4×D4C23semidirect
225. C22×C4×D4C23semidirect
226. C22×C4×D4C23semidirect
227. C22×C4×D4C23semidirect
228. C22×C4×D4C23semidirect
229. C22×#117C23semidirect
234. C23×C4⋊C4C23semidirect
235. C23×C4⋊C4C23semidirect
264. C2×#400C23semidirect
265. C2×#398C23semidirect
266. C2×#397C23semidirect
267. C2×#397C23semidirect
268. C2×#397C23semidirect
269. C2×#397C23semidirect
270. C2×#397C23semidirect
271. C2×#396C23semidirect
272. C2×#394C23semidirect
273. C2×#394C23semidirect
274. C2×#394C23semidirect
275. C2×#394C23semidirect
276. C2×#394C23semidirect
277. C2×#394C23semidirect
278. C2×#394C23semidirect
279. C2×#392C23semidirect
280. C2×#392C23semidirect
281. C2×#392C23semidirect
282. C2×#392C23semidirect
283. C2×#392C23semidirect
293. C2×#390C23semidirect
294. C2×#390C23semidirect
295. C2×#390C23semidirect
296. C2×#390C23semidirect
297. C2×#390C23semidirect
298. C2×#390C23semidirect
299. C2×#390C23semidirect
300. C2×#390C23semidirect
301. C2×#390C23semidirect
302. C2×#389C23semidirect
303. C2×#389C23semidirect
304. C2×#388C23semidirect
305. C2×#388C23semidirect
306. C2×#388C23semidirect
307. C2×#388C23semidirect
308. C2×#387C23semidirect
314. C2×#386C23semidirect
315. C2×#386C23semidirect
316. C2×#386C23semidirect
317. C2×#386C23semidirect
318. C2×#386C23semidirect
319. C2×#386C23semidirect
320. C2×#386C23semidirect
321. C2×#386C23semidirect
322. C2×#386C23semidirect
323. C2×#386C23semidirect
324. C2×#386C23semidirect
325. C2×#386C23semidirect
326. C2×#386C23semidirect
327. C2×#386C23semidirect
328. C2×#386C23semidirect
329. C2×#386C23semidirect
335. C2×#385C23semidirect
336. C2×#385C23semidirect
337. C2×#385C23semidirect
338. C2×#385C23semidirect
339. C2×#382C23semidirect
340. C2×#382C23semidirect
341. C2×#381C23semidirect
352. C2×#380C23semidirect
353. C2×#380C23semidirect
354. C2×#380C23semidirect
355. C2×#380C23semidirect
356. C2×#380C23semidirect
357. C2×#380C23semidirect
385. C2×C4×C4⋊C4C23semidirect
391. C2×C4×C22⋊C4C23semidirect
392. C2×C4×C22⋊C4C23semidirect
393. C2×C4×C22⋊C4C23semidirect
394. C22×#95C23semidirect
395. C22×#95C23semidirect
396. #1444C23semidirect
397. #1442C23semidirect
398. #1442C23semidirect
399. #1442C23semidirect
400. #1441C23semidirect
401. #1441C23semidirect
402. #1440C23semidirect
403. #1440C23semidirect
404. #1440C23semidirect
405. #1440C23semidirect
406. #1440C23semidirect
407. #1440C23semidirect
408. #1439C23semidirect
409. #1439C23semidirect
410. #1439C23semidirect
411. #1439C23semidirect
412. #1439C23semidirect
413. #1439C23semidirect
414. #1438C23semidirect
415. #1438C23semidirect
416. #1438C23semidirect
417. #1438C23semidirect
418. #1438C23semidirect
419. #1438C23semidirect
420. #1438C23semidirect
421. #1438C23semidirect
422. #1438C23semidirect
423. #1438C23semidirect
424. #1438C23semidirect
425. #1438C23semidirect
426. #1438C23semidirect
427. #1438C23semidirect
428. #1437C23semidirect
429. #1436C23semidirect
430. C4⋊#95C23semidirect
431. C4⋊#95C23semidirect
450. C22⋊#95C23semidirect
451. C22⋊#95C23semidirect
452. C22⋊#95C23semidirect
453. C22⋊#95C23semidirect
454. C22⋊#95C23semidirect
455. C22⋊#95C23semidirect
456. C22⋊#95C23semidirect
1218. #121#120semidirect
1585. C24#553semidirect
2221. C22#59013semidirect

Maximal subgroups

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

subgroupindex
C24×#1212
C2×#590132
#8465612
#8458492
#7594642
#7593052
#6494692
#6490492
#6487332
#6483542
#6480362
#6476762
#6129222
#6127922
#6126422
#6126342
#6124332
C4×#28462
C2×#146802
#5316112
D4×#3792
#5192902