Finite Group Databasebeta

← #534309

Subgroups — #534309

Order 512.

8694 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D42C211yesmaximal, characteristic
2C2×#2361C211yesmaximal, characteristic, complemented
3C2×D4×C22⋊C4C212yesmaximal, complemented
4C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
5C2×C4×#121C211yesmaximal, characteristic, complemented
6C22×#390C211yesmaximal, characteristic, complemented
7#14361C212yesmaximal, complemented
8#14358C212yesmaximal, complemented
9#14100C212yesmaximal, complemented
10#14025C211yesmaximal, characteristic, complemented
11#14025C211yesmaximal, characteristic, complemented
12#13998C211yesmaximal, characteristic, complemented
13#13998C211yesmaximal, characteristic, complemented
14#13995C212yesmaximal, complemented
15#13967C212yesmaximal, complemented
16#13967C212yesmaximal, complemented
17#13920C211yesmaximal, characteristic, complemented
18#13902C211yesmaximal, characteristic, complemented
19#13902C211yesmaximal, characteristic, complemented
20#13872C211yesmaximal, characteristic, complemented
21#13867C212yesmaximal, complemented
22#13820C211yesmaximal, characteristic, complemented
23C4×#386C211yesmaximal, characteristic, complemented
24C24×D4C2212yes—
25C24×D4C2211yescharacteristic
26C24×D4C2211yescharacteristic
27C2×D42—28no—
28C2×D42—28no—
29C2×D42C4116yescomplemented
30C22×#127C2211yescharacteristic
31C22×#121C2212yes—
32C22×#121C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#120C2212yes—
35C22×#120C2212yes—
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2212yescomplemented
39C22×C4×D4C2211yescharacteristic, complemented
40C22×C4×D4C2212yescomplemented
41C22×C4×D4C2211yescharacteristic, complemented
42C23×C4⋊C4C2211yescharacteristic, complemented
43C23×C22⋊C4C2212yescomplemented
44C23×C22⋊C4C2212yescomplemented
45C23×C22⋊C4C2212yescomplemented
46C23×C42C2211yescharacteristic, complemented
47#2361—28no—
48D4×C22⋊C4—28no—
49D4×C22⋊C4—216no—
50C4×#121—28no—
51C2×#390—28no—
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#390C2212yescomplemented
57C2×#390C2212yescomplemented
58C2×#390C2212yescomplemented
59C2×#390C2212yescomplemented
60C2×#390C2211yescharacteristic, complemented
61C2×#390C2211yescharacteristic, complemented
62C2×#390C2211yescharacteristic, complemented
63C2×#390C2211yescharacteristic, complemented
64C2×#390C2211yescharacteristic, complemented
65C2×#390C2211yescharacteristic, complemented
66C2×#389C2211yescharacteristic, complemented
67C2×#389C2211yescharacteristic, complemented
68C2×#388C2212yescomplemented
69C2×#388C2212yescomplemented
70C2×#386C2211yescharacteristic
71C2×#386C2212yes—
72C2×#386C2211yescharacteristic
73C2×#386C2212yescomplemented
74C2×#386C2212yescomplemented
75C2×#386C2212yescomplemented
76C2×#386C2212yescomplemented
77C2×#386C2212yescomplemented
78C2×#386C2212yescomplemented
79C2×#386C2212yescomplemented
80C2×#386C2212yescomplemented
81C2×#385C2212yescomplemented
82C2×#380C2212yescomplemented
83C2×#380C2211yescharacteristic, complemented
84C2×#380C2211yescharacteristic, complemented
85C2×#380C2211yescharacteristic, complemented
86C2×#379C2212yescomplemented
87C2×#379C2212yescomplemented
88C2×#379C2212yescomplemented
89C2×#379C2212yescomplemented
90C2×#379C2212yescomplemented
91C2×C4×C4⋊C4C2211yescharacteristic, complemented
92C2×C4×C4⋊C4C2211yescharacteristic, complemented
93C2×C4×C22⋊C4C2212yescomplemented
94C2×C4×C22⋊C4C2212yescomplemented
95C2×C4×C22⋊C4C2211yescharacteristic, complemented
96C2×C4×C22⋊C4C2211yescharacteristic, complemented
97C2×C4×C22⋊C4C2211yescharacteristic, complemented
98#1441C2212yescomplemented
99#1439C2212yescomplemented
100#1439C2212yescomplemented
101#1439C2212yescomplemented
102#1439C2212yescomplemented
103#1439C2212yescomplemented
104#1438C2212yescomplemented
105#1438C2212yescomplemented
106#1438C2212yescomplemented
107#1438C2212yescomplemented
108#1438C2212yescomplemented
109#1438C2212yescomplemented
110#1438C2212yescomplemented
111#1438C2212yescomplemented
112#1438C2212yescomplemented
113#1438C2212yescomplemented
114#1437C2212yescomplemented
115#1437C2212yescomplemented
116#1437C2211yescharacteristic, complemented
117#1437C2212yescomplemented
118#1437C2212yescomplemented
119#1437C2211yescharacteristic, complemented
120#1436C2211yescharacteristic, complemented
121#1436C2211yescharacteristic, complemented
122C4⋊#95C2211yescharacteristic, complemented
123C4⋊#95C2211yescharacteristic, complemented
124C22⋊#95C2212yescomplemented
125C22⋊#95C2212yescomplemented
126C22⋊#95C2212yescomplemented
127C22⋊#95C2211yescharacteristic, complemented
128C22⋊#95C2211yescharacteristic, complemented
129C4×#95C2211yescharacteristic, complemented
130C4×#95C2211yescharacteristic, complemented
131C26C2312yes—
132C26C2312yes—
133C23×D4—28no—
134C23×D4—24no—
135C23×D4—28no—
136C23×D4—28no—
137C23×D4—24no—
138C23×D4—24no—
139C23×D4—24no—
140C23×D4—24no—
141C23×D4—28no—
142C23×D4—24no—
143C23×D4—24no—
144C23×D4—24no—
145C23×D4—42no—
146C23×D4—42no—
147C23×D4—42no—
148C23×D4—42no—
149C23×D4—44no—
150C23×D4—44no—
151C23×D4C2×C418yescomplemented
152C23×D4C2×C4116yescomplemented
153C23×D4C2×C418yescomplemented
154C23×D4C2311yescharacteristic
155C23×D4C2312yes—
156C23×D4C2312yes—
157C23×D4C2312yes—
158C23×D4C2312yes—
159C23×D4C2312yes—
160C23×D4C2311yescharacteristic
161C23×D4C2311yescharacteristic
162C23×D4C2311yescharacteristic
163C23×D4C2312yes—
164C24×C4C2311yescharacteristic
165C24×C4C2311yescharacteristic
166C24×C4C2312yes—
167C24×C4C2312yes—
168C24×C4C2312yes—
169C24×C4C2311yescharacteristic
170C24×C4C2311yescharacteristic
171C24×C4C2312yes—
172D42—2128no—
173C2×#127—24no—
174C2×#127—24no—
175C2×#127C2×C418yescomplemented
176C2×#121—24no—
177C2×#121—24no—
178C2×#121—28no—
179C2×#121—28no—
180C2×#121C2×C418yes—
181C2×#121C2×C418yescomplemented
182C2×#121C2×C4116yescomplemented
183C2×#121D418yes—
184C2×#121D418yes—
185C2×#120—28no—
186C2×#120—28no—
187C2×#120—28no—
188C2×#120—28no—
189C2×#120C2×C4116yescomplemented
190C2×#120C2×C4116yescomplemented
191C2×C4×D4—24no—
192C2×C4×D4—24no—
193C2×C4×D4—24no—
194C2×C4×D4—28no—
195C2×C4×D4—24no—
196C2×C4×D4—28no—
197C2×C4×D4—28no—
198C2×C4×D4—24no—
199C2×C4×D4—24no—
200C2×C4×D4—24no—
201C2×C4×D4—28no—
202C2×C4×D4—24no—
203C2×C4×D4—42no—
204C2×C4×D4—42no—
205C2×C4×D4—44no—
206C2×C4×D4—44no—
207C2×C4×D4C2×C418yescomplemented
208C2×C4×D4C2×C418yescomplemented
209C22×C4⋊C4—24no—
210C22×C4⋊C4—24no—
211C22×C4⋊C4—42no—
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2312yes—
216C22×C4⋊C4C2312yes—
217C22×C4⋊C4C2312yes—
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C22⋊C4—28no—
222C22×C22⋊C4—28no—
223C22×C22⋊C4—28no—
224C22×C22⋊C4—28no—
225C22×C22⋊C4—28no—
226C22×C22⋊C4—44no—
227C22×C22⋊C4—44no—
228C22×C22⋊C4—44no—
229C22×C22⋊C4—44no—
230C22×C22⋊C4C2312yes—
231C22×C22⋊C4C2312yes—
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2312yes—
234C22×C22⋊C4C2312yes—
235C22×C22⋊C4C2312yes—
236C22×C22⋊C4C2312yes—
237C22×C22⋊C4C2312yes—
238C22×C22⋊C4C2312yes—
239C22×C22⋊C4C2312yes—
240C22×C22⋊C4C2312yes—
241C22×C22⋊C4C2312yes—
242C22×C22⋊C4C2312yes—
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2312yes—
246C22×C22⋊C4C2312yes—
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2312yes—
250C22×C22⋊C4C2312yes—
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2312yes—
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2312yes—
255C22×C22⋊C4C2312yes—
256C22×C22⋊C4C2312yes—
257C22×C22⋊C4C2312yes—
258C22×C22⋊C4C2312yes—
259C22×C22⋊C4C2312yes—
260C22×C22⋊C4C2312yes—
261C22×C22⋊C4C2312yes—
262C22×C22⋊C4C2312yes—
263C22×C22⋊C4C2312yes—
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2312yes—
266C22×C42—24no—
267C22×C42—24no—
268C22×C42—42no—
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2312yes—
275C22×C42C2312yes—
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278#390—24no—
279#390—24no—
280#390—24no—
281#390—24no—
282#390—24no—
283#390—24no—
284#390—28no—
285#390—28no—
286#390—28no—
287#390—28no—
288#390—24no—
289#390—42no—
290#390—42no—
291#390D418yescomplemented
292#389—24no—
293#389—24no—
294#388—28no—
295#388—28no—
296#386—28no—
297#386—28no—
298#386—28no—
299#386—24no—
300#386—28no—
301#386—28no—
302#386—28no—
303#386—28no—
304#386—44no—
305#386—44no—
306#386D418yescomplemented
307#385—28no—
308#380—24no—
309#380—24no—
310#380—28no—
311#380—42no—
312#379—28no—
313#379—28no—
314#379—28no—
315#379—44no—
316#379—44no—
317C4×C4⋊C4—24no—
318C4×C4⋊C4—24no—
319C4×C22⋊C4—24no—
320C4×C22⋊C4—28no—
321C4×C22⋊C4—24no—
322C4×C22⋊C4—28no—
323C4×C22⋊C4—42no—
324C2×#95C2311yescharacteristic
325C2×#95C2311yescharacteristic
326C2×#95C2311yescharacteristic
327C2×#95C2311yescharacteristic
328C2×#95C2312yes—
329C2×#95C2312yes—
330C2×#95C2311yescharacteristic
331C2×#95C2311yescharacteristic
332C2×#95C2312yes—
333C2×#95C2312yes—
334C2×#95C2312yes—
335C2×#95C2312yes—
336C2×#95C2312yes—
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2312yes—
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2312yes—
343C2×#95C2312yes—
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2312yes—
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C25—24no—
350C25—24no—
351C25—24no—
352C25—24no—
353C25—24no—
354C25—24no—
355C25—24no—
356C25—24no—
357C25—24no—
358C25—24no—
359C25—24no—
360C25—24no—
361C25—24no—
362C25—24no—
363C25—42no—
364C25—42no—
365C25—42no—
366C25—42no—
367C25—42no—
368C25—42no—
369C25—42no—
370C25—42no—
371C25—42no—
372C25—42no—
373C25—42no—
374C25—42no—
375C25—42no—
376C25—42no—
377C25C22×C418yes—
378C25C22×C418yes—
379C25C2412yes—
380C25C2412yes—
381C25C2411yescharacteristic
382C25C2412yes—
383C25C2411yescharacteristic
384C22×D4—24no—
385C22×D4—22no—
386C22×D4—22no—
387C22×D4—24no—
388C22×D4—24no—
389C22×D4—24no—
390C22×D4—22no—
391C22×D4—22no—
392C22×D4—24no—
393C22×D4—24no—
394C22×D4—24no—
395C22×D4—24no—
396C22×D4—24no—
397C22×D4—24no—
398C22×D4—24no—
399C22×D4—24no—
400C22×D4—24no—
401C22×D4—24no—
402C22×D4—24no—
403C22×D4—24no—
404C22×D4—264no—
405C22×D4—232no—
406C22×D4—232no—
407C22×D4—264no—
408C22×D4—232no—
409C22×D4—232no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—24no—
414C22×D4—24no—
415C22×D4—24no—
416C22×D4—24no—
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—24no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4—24no—
423C22×D4—22no—
424C22×D4—22no—
425C22×D4—22no—
426C22×D4—22no—
427C22×D4—22no—
428C22×D4—22no—
429C22×D4—22no—
430C22×D4—416no—
431C22×D4—416no—
432C22×D4—416no—
433C22×D4—416no—
434C22×D4—416no—
435C22×D4—416no—
436C22×D4—42no—
437C22×D4—42no—
438C22×D4—42no—
439C22×D4—42no—
440C22×D4—42no—
441C22×D4—42no—
442C22×D4—42no—
443C22×D4—42no—
444C22×D4—42no—
445C22×D4—42no—
446C22×D4—42no—
447C22×D4—42no—
448C22×D4—432no—
449C22×D4—432no—
450C22×D4—432no—
451C22×D4—432no—
452C22×D4—432no—
453C22×D4—416no—
454C22×D4—416no—
455C22×D4—416no—
456C22×D4—416no—
457C22×D4C22×C414yes—
458C22×D4C22×C418yes—
459C22×D4C22×C418yes—
460C22×D4C22×C418yes—
461C22×D4C22×C418yes—
462C22×D4C22×C418yes—
463C22×D4C22×C414yes—
464C22×D4C22×C414yes—
465C22×D4C22×C414yes—
466C22×D4C22×C418yes—
467C22×D4C2×D418yes—
468C22×D4C2×D418yes—
469C22×D4C2×D414yes—
470C22×D4C2×D414yes—
471C22×D4C2×D414yes—
472C22×D4C2×D414yes—
473C22×D4#4114yes—
474C22×D4#4114yes—
475C23×C4—22no—
476C23×C4—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—24no—
485C23×C4—24no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—24no—
489C23×C4—22no—
490C23×C4—24no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—24no—
497C23×C4—22no—
498C23×C4—22no—
499C23×C4—24no—
500C23×C4—24no—
501C23×C4—24no—
502C23×C4—24no—
503C23×C4—24no—
504C23×C4—24no—
505C23×C4—24no—
506C23×C4—24no—
507C23×C4—24no—
508C23×C4—24no—
509C23×C4—41no—
510C23×C4—41no—
511C23×C4—42no—
512C23×C4—42no—
513C23×C4—41no—
514C23×C4—41no—
515C23×C4—42no—
516C23×C4—42no—
517C23×C4—42no—
518C23×C4—42no—
519C23×C4—42no—
520C23×C4—42no—
521C23×C4—42no—
522C23×C4—42no—
523C23×C4—42no—
524C23×C4—42no—
525C23×C4C22×C414yes—
526C23×C4C22×C418yes—
527C23×C4C22×C414yes—
528C23×C4C2×D414yes—
529C23×C4C2×D414yes—
530C23×C4C2×D414yescomplemented
531C23×C4C2412yes—
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2412yes—
535C23×C4C2412yes—
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2412yes—
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2412yes—
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549#127—232no—
550#121—232no—
551#121—264no—
552#121C22⋊C4164yescomplemented
553#120—264no—
554#120—264no—
555C4×D4—232no—
556C4×D4—232no—
557C4×D4—416no—
558C4×D4—432no—
559C4×D4—416no—
560C4×D4—432no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—24no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—24no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—24no—
571C2×C4⋊C4—24no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—24no—
574C2×C4⋊C4—24no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—416no—
581C2×C4⋊C4—42no—
582C2×C4⋊C4—42no—
583C2×C4⋊C4—42no—
584C2×C4⋊C4C22×C414yes—
585C2×C4⋊C4C22×C414yes—
586C2×C4⋊C4C2×D414yes—
587C2×C4⋊C4C2×D414yes—
588C2×C4⋊C4C2×D414yescomplemented
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—24no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—24no—
597C2×C22⋊C4—24no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—24no—
600C2×C22⋊C4—24no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—24no—
603C2×C22⋊C4—24no—
604C2×C22⋊C4—24no—
605C2×C22⋊C4—24no—
606C2×C22⋊C4—24no—
607C2×C22⋊C4—24no—
608C2×C22⋊C4—24no—
609C2×C22⋊C4—24no—
610C2×C22⋊C4—24no—
611C2×C22⋊C4—24no—
612C2×C22⋊C4—24no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—24no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—22no—
618C2×C22⋊C4—24no—
619C2×C22⋊C4—24no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—24no—
622C2×C22⋊C4—24no—
623C2×C22⋊C4—24no—
624C2×C22⋊C4—24no—
625C2×C22⋊C4—24no—
626C2×C22⋊C4—24no—
627C2×C22⋊C4—24no—
628C2×C22⋊C4—24no—
629C2×C22⋊C4—24no—
630C2×C22⋊C4—24no—
631C2×C22⋊C4—24no—
632C2×C22⋊C4—24no—
633C2×C22⋊C4—24no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—24no—
636C2×C22⋊C4—24no—
637C2×C22⋊C4—24no—
638C2×C22⋊C4—24no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—24no—
641C2×C22⋊C4—24no—
642C2×C22⋊C4—24no—
643C2×C22⋊C4—24no—
644C2×C22⋊C4—24no—
645C2×C22⋊C4—24no—
646C2×C22⋊C4—24no—
647C2×C22⋊C4—432no—
648C2×C22⋊C4—432no—
649C2×C22⋊C4—42no—
650C2×C22⋊C4—42no—
651C2×C22⋊C4—42no—
652C2×C22⋊C4—42no—
653C2×C22⋊C4—42no—
654C2×C22⋊C4—42no—
655C2×C22⋊C4—42no—
656C2×C22⋊C4—42no—
657C2×C22⋊C4—42no—
658C2×C22⋊C4—42no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—42no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—42no—
663C2×C22⋊C4—42no—
664C2×C22⋊C4—42no—
665C2×C22⋊C4—42no—
666C2×C22⋊C4—42no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—432no—
670C2×C22⋊C4—42no—
671C2×C22⋊C4—42no—
672C2×C22⋊C4—42no—
673C2×C22⋊C4—42no—
674C2×C22⋊C4—42no—
675C2×C22⋊C4—42no—
676C2×C22⋊C4—42no—
677C2×C22⋊C4—42no—
678C2×C22⋊C4—42no—
679C2×C22⋊C4—42no—
680C2×C22⋊C4—42no—
681C2×C22⋊C4—42no—
682C2×C22⋊C4—42no—
683C2×C22⋊C4—42no—
684C2×C22⋊C4—42no—
685C2×C22⋊C4—42no—
686C2×C22⋊C4—42no—
687C2×C22⋊C4—42no—
688C2×C22⋊C4C22×C414yes—
689C2×C22⋊C4C22×C418yes—
690C2×C22⋊C4C22×C414yes—
691C2×C22⋊C4C22×C418yes—
692C2×C22⋊C4C22×C418yes—
693C2×C22⋊C4C2×D418yes—
694C2×C22⋊C4C2×D418yes—
695C2×C22⋊C4C2×D418yescomplemented
696C2×C22⋊C4C2×D414yescomplemented
697C2×C22⋊C4C2×D414yescomplemented
698C2×C22⋊C4C2×D418yescomplemented
699C2×C22⋊C4C2×D414yescomplemented
700C2×C42—22no—
701C2×C42—22no—
702C2×C42—22no—
703C2×C42—22no—
704C2×C42—24no—
705C2×C42—22no—
706C2×C42—24no—
707C2×C42—24no—
708C2×C42—22no—
709C2×C42—24no—
710C2×C42—22no—
711C2×C42—22no—
712C2×C42—22no—
713C2×C42—22no—
714C2×C42—22no—
715C2×C42—22no—
716C2×C42—22no—
717C2×C42—22no—
718C2×C42—22no—
719C2×C42—22no—
720C2×C42—22no—
721C2×C42—416no—
722C2×C42—42no—
723C2×C42—42no—
724C2×C42—41no—
725C2×C42—41no—
726C2×C42C22×C414yes—
727C2×C42C2×D414yescomplemented
728#95—24no—
729#95—22no—
730#95—22no—
731#95—22no—
732#95—24no—
733#95—24no—
734#95—22no—
735#95—24no—
736#95—24no—
737#95—24no—
738#95—24no—
739#95—24no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—41no—
745#95—41no—
746#95—41no—
747#95—41no—
748#95—42no—
749#95—42no—
750#95—42no—
751#95C2×D414yescomplemented
752#95C2×D414yescomplemented
753C24—21no—
754C24—21no—
755C24—21no—
756C24—21no—
757C24—21no—
758C24—21no—
759C24—21no—
760C24—21no—
761C24—21no—
762C24—22no—
763C24—22no—
764C24—22no—
765C24—21no—
766C24—22no—
767C24—21no—
768C24—22no—
769C24—21no—
770C24—22no—
771C24—22no—
772C24—22no—
773C24—21no—
774C24—22no—
775C24—22no—
776C24—21no—
777C24—22no—
778C24—21no—
779C24—21no—
780C24—22no—
781C24—22no—
782C24—22no—
783C24—22no—
784C24—22no—
785C24—22no—
786C24—22no—
787C24—21no—
788C24—21no—
789C24—22no—
790C24—22no—
791C24—22no—
792C24—21no—
793C24—22no—
794C24—22no—
795C24—21no—
796C24—22no—
797C24—216no—
798C24—22no—
799C24—22no—
800C24—22no—
801C24—22no—
802C24—22no—
803C24—22no—
804C24—22no—
805C24—22no—
806C24—22no—
807C24—22no—
808C24—22no—
809C24—22no—
810C24—22no—
811C24—22no—
812C24—216no—
813C24—216no—
814C24—216no—
815C24—216no—
816C24—216no—
817C24—216no—
818C24—48no—
819C24—48no—
820C24—48no—
821C24—48no—
822C24—48no—
823C24—48no—
824C24—48no—
825C24—48no—
826C24—48no—
827C24—48no—
828C24—48no—
829C24—48no—
830C24—48no—
831C24—48no—
832C24—48no—
833C24—48no—
834C24—48no—
835C24—48no—
836C24—48no—
837C24—48no—
838C24—48no—
839C24—48no—
840C24—48no—
841C24—48no—
842C24—48no—
843C24—48no—
844C24—48no—
845C24—48no—
846C24—48no—
847C24—48no—
848C24—48no—
849C24—48no—
850C24—48no—
851C24—48no—
852C24—48no—
853C24—84no—
854C24—84no—
855C24—84no—
856C24—84no—
857C24—84no—
858C24—84no—
859C24—84no—
860C24—84no—
861C24—84no—
862C24—84no—
863C24—84no—
864C24—84no—
865C24—84no—
866C24—84no—
867C24—84no—
868C24—84no—
869C24—84no—
870C24—84no—
871C24—84no—
872C24—84no—
873C24—84no—
874C24—84no—
875C24—84no—
876C24—84no—
877C24—84no—
878C24—84no—
879C24—84no—
880C24—84no—
881C24C23×C414yes—
882C24C23×C414yes—
883C24C23×C412yes—
884C24C23×C414yes—
885C24C23×C412yes—
886C24C22×D414yes—
887C24C22×D414yes—
888C24C22×D414yes—
889C24C22×D412yes—
890C24C22×D412yes—
891C24C22×D412yes—
892C24C22×D412yes—
893C24C2×#4114yes—
894C24C2×#4112yes—
895C24C2×#4112yes—
896C24H(5,𝔽2)12yes—
897C24H(5,𝔽2)12yes—
898C24C2511yescharacteristic
899C2×D4—28no—
900C2×D4—216no—
901C2×D4—28no—
902C2×D4—216no—
903C2×D4—216no—
904C2×D4—216no—
905C2×D4—28no—
906C2×D4—28no—
907C2×D4—28no—
908C2×D4—28no—
909C2×D4—216no—
910C2×D4—216no—
911C2×D4—216no—
912C2×D4—216no—
913C2×D4—216no—
914C2×D4—216no—
915C2×D4—216no—
916C2×D4—216no—
917C2×D4—28no—
918C2×D4—216no—
919C2×D4—216no—
920C2×D4—28no—
921C2×D4—28no—
922C2×D4—216no—
923C2×D4—28no—
924C2×D4—28no—
925C2×D4—28no—
926C2×D4—28no—
927C2×D4—28no—
928C2×D4—28no—
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—4128no—
936C2×D4—48no—
937C2×D4—48no—
938C2×D4—48no—
939C2×D4—48no—
940C2×D4—48no—
941C2×D4—48no—
942C2×D4—48no—
943C2×D4—48no—
944C2×D4—48no—
945C2×D4—48no—
946C2×D4—48no—
947C2×D4—48no—
948C2×D4—48no—
949C2×D4—48no—
950C2×D4—48no—
951C2×D4—48no—
952C2×D4—48no—
953C2×D4—48no—
954C2×D4—4256no—
955C2×D4—4128no—
956C2×D4—48no—
957C2×D4—48no—
958C2×D4—48no—
959C2×D4—48no—
960C2×D4—44no—
961C2×D4—44no—
962C2×D4—44no—
963C2×D4—44no—
964C2×D4—84no—
965C2×D4—84no—
966C2×D4—84no—
967C2×D4—84no—
968C2×D4C2×C22⋊C4132yescomplemented
969C2×D4C2×C22⋊C4116yescomplemented
970C2×D4C4×D4116yescomplemented
971C2×D4C4×D4116yescomplemented
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—22no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—22no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—28no—
989C22×C4—28no—
990C22×C4—28no—
991C22×C4—28no—
992C22×C4—28no—
993C22×C4—28no—
994C22×C4—28no—
995C22×C4—28no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—22no—
1002C22×C4—21no—
1003C22×C4—22no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—22no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—22no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—216no—
1045C22×C4—28no—
1046C22×C4—216no—
1047C22×C4—28no—
1048C22×C4—28no—
1049C22×C4—28no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—21no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—22no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—21no—
1073C22×C4—22no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—21no—
1082C22×C4—22no—
1083C22×C4—21no—
1084C22×C4—22no—
1085C22×C4—48no—
1086C22×C4—44no—
1087C22×C4—48no—
1088C22×C4—48no—
1089C22×C4—48no—
1090C22×C4—48no—
1091C22×C4—48no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—48no—
1101C22×C4—48no—
1102C22×C4—48no—
1103C22×C4—48no—
1104C22×C4—48no—
1105C22×C4—48no—
1106C22×C4—48no—
1107C22×C4—48no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—48no—
1115C22×C4—48no—
1116C22×C4—84no—
1117C22×C4—84no—
1118C22×C4—84no—
1119C22×C4—84no—
1120C22×C4—84no—
1121C22×C4—84no—
1122C22×C4—84no—
1123C22×C4—84no—
1124C22×C4—84no—
1125C22×C4—84no—
1126C22×C4C2×C22⋊C4116yescomplemented
1127C22×C4C23×C412yes—
1128C22×C4C23×C412yes—
1129C22×C4C23×C412yes—
1130C22×C4C23×C414yes—
1131C22×C4C23×C412yes—
1132C22×C4C23×C412yes—
1133C22×C4C22×D412yes—
1134C22×C4C22×D414yes—
1135C22×C4C22×D412yes—
1136C22×C4C22×D412yes—
1137C22×C4C22×D412yes—
1138C22×C4C22×D412yes—
1139C22×C4C22×D414yes—
1140C22×C4C22×D414yes—
1141C22×C4C22×D412yes—
1142C22×C4C22×D412yes—
1143C22×C4C22×D412yes—
1144C22×C4C22×D412yes—
1145C22×C4C22×D412yes—
1146C22×C4C22×D412yes—
1147C22×C4C22×D412yes—
1148C22×C4C2×#4112yes—
1149C22×C4C2×#4112yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4H(5,𝔽2)12yes—
1152C22×C4H(5,𝔽2)12yes—
1153C22×C4H(5,𝔽2)12yes—
1154C4⋊C4—28no—
1155C4⋊C4—28no—
1156C4⋊C4—48no—
1157C4⋊C4—48no—
1158C4⋊C4—48no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4C2×C22⋊C4116yescomplemented
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—216no—
1166C22⋊C4—28no—
1167C22⋊C4—216no—
1168C22⋊C4—28no—
1169C22⋊C4—216no—
1170C22⋊C4—48no—
1171C22⋊C4—44no—
1172C22⋊C4—48no—
1173C22⋊C4—48no—
1174C22⋊C4—48no—
1175C22⋊C4—44no—
1176C22⋊C4—48no—
1177C22⋊C4—44no—
1178C22⋊C4—48no—
1179C22⋊C4—48no—
1180C22⋊C4—48no—
1181C22⋊C4—48no—
1182C22⋊C4—48no—
1183C22⋊C4—48no—
1184C22⋊C4—48no—
1185C22⋊C4—48no—
1186C22⋊C4—48no—
1187C22⋊C4—48no—
1188C22⋊C4—44no—
1189C22⋊C4—48no—
1190C22⋊C4—84no—
1191C22⋊C4—84no—
1192C22⋊C4—84no—
1193C22⋊C4—84no—
1194C22⋊C4—84no—
1195C22⋊C4—84no—
1196C22⋊C4—84no—
1197C22⋊C4—84no—
1198C22⋊C4C2×C22⋊C4132yescomplemented
1199C42—28no—
1200C42—28no—
1201C42—44no—
1202C42—44no—
1203C42—48no—
1204C42—48no—
1205C42—44no—
1206C42—44no—
1207C42—44no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—24no—
1238C23—24no—
1239C23—22no—
1240C23—24no—
1241C23—24no—
1242C23—22no—
1243C23—24no—
1244C23—24no—
1245C23—22no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—22no—
1251C23—22no—
1252C23—24no—
1253C23—24no—
1254C23—24no—
1255C23—22no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—24no—
1261C23—22no—
1262C23—22no—
1263C23—24no—
1264C23—24no—
1265C23—22no—
1266C23—22no—
1267C23—24no—
1268C23—24no—
1269C23—24no—
1270C23—24no—
1271C23—24no—
1272C23—22no—
1273C23—24no—
1274C23—24no—
1275C23—22no—
1276C23—22no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—22no—
1283C23—22no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—22no—
1288C23—22no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—24no—
1294C23—24no—
1295C23—24no—
1296C23—24no—
1297C23—432no—
1298C23—432no—
1299C23—432no—
1300C23—432no—
1301C23—432no—
1302C23—432no—
1303C23—42no—
1304C23—41no—
1305C23—42no—
1306C23—42no—
1307C23—41no—
1308C23—41no—
1309C23—42no—
1310C23—42no—
1311C23—41no—
1312C23—42no—
1313C23—42no—
1314C23—42no—
1315C23—42no—
1316C23—41no—
1317C23—42no—
1318C23—42no—
1319C23—41no—
1320C23—41no—
1321C23—42no—
1322C23—41no—
1323C23—42no—
1324C23—42no—
1325C23—42no—
1326C23—42no—
1327C23—41no—
1328C23—42no—
1329C23—41no—
1330C23—42no—
1331C23—42no—
1332C23—41no—
1333C23—42no—
1334C23—42no—
1335C23—42no—
1336C23—42no—
1337C23—42no—
1338C23—41no—
1339C23—42no—
1340C23—41no—
1341C23—42no—
1342C23—42no—
1343C23—41no—
1344C23—42no—
1345C23—42no—
1346C23—41no—
1347C23—42no—
1348C23—42no—
1349C23—41no—
1350C23—42no—
1351C23—432no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—42no—
1356C23—42no—
1357C23—42no—
1358C23—42no—
1359C23—42no—
1360C23—42no—
1361C23—42no—
1362C23—42no—
1363C23—42no—
1364C23—42no—
1365C23—42no—
1366C23—42no—
1367C23—42no—
1368C23—42no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—42no—
1374C23—42no—
1375C23—42no—
1376C23—42no—
1377C23—42no—
1378C23—42no—
1379C23—42no—
1380C23—816no—
1381C23—816no—
1382C23—816no—
1383C23—816no—
1384C23—816no—
1385C23—816no—
1386C23—816no—
1387C23—816no—
1388C23—816no—
1389C23—816no—
1390C23—816no—
1391C23—816no—
1392C23—816no—
1393C23—816no—
1394C23—816no—
1395C23—816no—
1396C23—816no—
1397C23—816no—
1398C23—816no—
1399C23—816no—
1400C23—816no—
1401C23—816no—
1402C23—816no—
1403C23C22×C22⋊C418yes—
1404C23C22×C22⋊C414yes—
1405C23C2×C4×D414yes—
1406C23C2×C4×D418yes—
1407C23C2×C4×D414yes—
1408C23#51814yes—
1409C23D4214yes—
1410C23D4214yes—
1411C23#54614yes—
1412C23#54614yes—
1413C23C24×C411yescharacteristic
1414C23C23×D411yescharacteristic
1415C23C23×D411yescharacteristic
1416C23C23×D411yescharacteristic
1417C23C23×D411yescharacteristic
1418C23C22×#4111yescharacteristic
1419C23C22×#4111yescharacteristic
1420C23C2×H(5,𝔽2)11yescharacteristic
1421C23C2×H(5,𝔽2)11yescharacteristic
1422C23C2×H(5,𝔽2)11yescharacteristic
1423C23C2×H(5,𝔽2)11yescharacteristic
1424C23C2×H(5,𝔽2)11yescharacteristic
1425C23C2×H(5,𝔽2)11yescharacteristic
1426C23#58511yescharacteristic
1427C23#58511yescharacteristic
1428D4—232no—
1429D4—264no—
1430D4—232no—
1431D4—232no—
1432D4—432no—
1433D4—432no—
1434D4—432no—
1435D4—432no—
1436D4—416no—
1437D4—816no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—232no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—432no—
1488C2×C4—416no—
1489C2×C4—416no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—42no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—42no—
1509C2×C4—41no—
1510C2×C4—42no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—42no—
1522C2×C4—416no—
1523C2×C4—42no—
1524C2×C4—41no—
1525C2×C4—42no—
1526C2×C4—42no—
1527C2×C4—42no—
1528C2×C4—42no—
1529C2×C4—42no—
1530C2×C4—42no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—42no—
1535C2×C4—42no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—42no—
1539C2×C4—42no—
1540C2×C4—41no—
1541C2×C4—42no—
1542C2×C4—42no—
1543C2×C4—42no—
1544C2×C4—41no—
1545C2×C4—42no—
1546C2×C4—42no—
1547C2×C4—42no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—42no—
1553C2×C4—41no—
1554C2×C4—42no—
1555C2×C4—42no—
1556C2×C4—41no—
1557C2×C4—42no—
1558C2×C4—816no—
1559C2×C4—816no—
1560C2×C4—816no—
1561C2×C4C22×C22⋊C418yes—
1562C2×C4C22×C22⋊C414yes—
1563C2×C4C22×C22⋊C414yes—
1564C2×C4C2×C4×D414yes—
1565C2×C4C2×C4×D414yes—
1566C2×C4#51814yes—
1567C2×C4D4214yes—
1568C2×C4D4214yes—
1569C2×C4D4214yescomplemented
1570C2×C4#54614yes—
1571C2×C4#54614yes—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—24no—
1576C22—24no—
1577C22—24no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—28no—
1589C22—28no—
1590C22—28no—
1591C22—24no—
1592C22—28no—
1593C22—28no—
1594C22—28no—
1595C22—44no—
1596C22—44no—
1597C22—44no—
1598C22—42no—
1599C22—44no—
1600C22—44no—
1601C22—42no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—42no—
1606C22—44no—
1607C22—44no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—42no—
1619C22—44no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—44no—
1633C22—44no—
1634C22—44no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—864no—
1639C22—864no—
1640C22—82no—
1641C22—82no—
1642C22—82no—
1643C22—82no—
1644C22—82no—
1645C22—82no—
1646C22—82no—
1647C22—82no—
1648C22D4×C22⋊C418yescomplemented
1649C22C23×C22⋊C411yescharacteristic
1650C22C22×C4×D411yescharacteristic
1651C22C22×C4×D411yescharacteristic
1652C22C2×#51811yescharacteristic
1653C22C2×#51811yescharacteristic
1654C22C4×H(5,𝔽2)11yescharacteristic
1655C22C4×H(5,𝔽2)11yescharacteristic
1656C22C2×D4211yescharacteristic
1657C22C2×D4211yescharacteristic
1658C22C2×D4211yescharacteristic
1659C22C2×D4211yescharacteristic
1660C22C2×D4211yescharacteristic
1661C22C2×#54611yescharacteristic
1662C22C2×#54611yescharacteristic
1663C22C2×#54611yescharacteristic
1664C22C2×#54611yescharacteristic
1665C22D4×#4111yescharacteristic
1666C22D4×#4111yescharacteristic
1667C22#348111yescharacteristic
1668C22#348411yescharacteristic
1669C22#348811yescharacteristic
1670C22#348811yescharacteristic
1671C22#348811yescharacteristic
1672C22#349611yescharacteristic
1673C22#349811yescharacteristic
1674C22#349811yescharacteristic
1675C22#350011yescharacteristic
1676C22#351311yescharacteristic
1677C22#351411yescharacteristic
1678C22#351911yescharacteristic
1679C22#351911yescharacteristic
1680C22#353711yescharacteristic
1681C22#354211yescharacteristic
1682C22#354311yescharacteristic
1683C22#355811yescharacteristic
1684C4—24no—
1685C4—24no—
1686C4—28no—
1687C4—24no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—44no—
1696C4—81no—
1697C4—82no—
1698C4—82no—
1699C4—82no—
1700C4—81no—
1701C4D4×C22⋊C418yescomplemented
1702C2—28no—
1703C2—48no—
1704C2—44no—
1705C2—48no—
1706C2—84no—
1707C2C2×D4×C22⋊C411yescharacteristic
1708C2C2×D4×C22⋊C411yescharacteristic
1709C2C4×D4211yescharacteristic
1710C2#3425811yescharacteristic
1711C2#3429011yescharacteristic
1712C2#3431011yescharacteristic
1713C2#3447111yescharacteristic
1714C2#5899711yescharacteristic
1715C2#5900411yescharacteristic
1716C2#5903011yescharacteristic
1717C2#5909511yescharacteristic
1718C2#5912611yescharacteristic
1719C2#5913111yescharacteristic
1720C2#5940811yescharacteristic
1721C2#5980811yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×D42C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2361C2semidirect
3. C2×D4×C22⋊C4C2semidirect
4. C2×D4×C22⋊C4C2semidirect
5. C2×C4×#121C2semidirect
6. C22×#390C2semidirect
7. #14361C2semidirect
8. #14358C2semidirect
9. #14100C2semidirect
10. #14025C2semidirect
11. #14025C2semidirect
12. #13998C2semidirect
13. #13998C2semidirect
14. #13995C2semidirect
15. #13967C2semidirect
16. #13967C2semidirect
17. #13920C2semidirect
18. #13902C2semidirect
19. #13902C2semidirect
20. #13872C2semidirect
21. #13867C2semidirect
22. #13820C2semidirect
23. C4×#386C2semidirect
29. C2×D42C4semidirect
38. C22×C4×D4C22semidirect
39. C22×C4×D4C22semidirect
40. C22×C4×D4C22semidirect
41. C22×C4×D4C22semidirect
42. C23×C4⋊C4C22semidirect
43. C23×C22⋊C4C22semidirect
44. C23×C22⋊C4C22semidirect
45. C23×C22⋊C4C22semidirect
46. C23×C42C22semidirect
56. C2×#390C22semidirect
57. C2×#390C22semidirect
58. C2×#390C22semidirect
59. C2×#390C22semidirect
60. C2×#390C22semidirect
61. C2×#390C22semidirect
62. C2×#390C22semidirect
63. C2×#390C22semidirect
64. C2×#390C22semidirect
65. C2×#390C22semidirect
66. C2×#389C22semidirect
67. C2×#389C22semidirect
68. C2×#388C22semidirect
69. C2×#388C22semidirect
73. C2×#386C22semidirect
74. C2×#386C22semidirect
75. C2×#386C22semidirect
76. C2×#386C22semidirect
77. C2×#386C22semidirect
78. C2×#386C22semidirect
79. C2×#386C22semidirect
80. C2×#386C22semidirect
81. C2×#385C22semidirect
82. C2×#380C22semidirect
83. C2×#380C22semidirect
84. C2×#380C22semidirect
85. C2×#380C22semidirect
86. C2×#379C22semidirect
87. C2×#379C22semidirect
88. C2×#379C22semidirect
89. C2×#379C22semidirect
90. C2×#379C22semidirect
91. C2×C4×C4⋊C4C22semidirect
92. C2×C4×C4⋊C4C22semidirect
93. C2×C4×C22⋊C4C22semidirect
94. C2×C4×C22⋊C4C22semidirect
95. C2×C4×C22⋊C4C22semidirect
96. C2×C4×C22⋊C4C22semidirect
97. C2×C4×C22⋊C4C22semidirect
98. #1441C22semidirect
99. #1439C22semidirect
100. #1439C22semidirect
101. #1439C22semidirect
102. #1439C22semidirect
103. #1439C22semidirect
104. #1438C22semidirect
105. #1438C22semidirect
106. #1438C22semidirect
107. #1438C22semidirect
108. #1438C22semidirect
109. #1438C22semidirect
110. #1438C22semidirect
111. #1438C22semidirect
112. #1438C22semidirect
113. #1438C22semidirect
114. #1437C22semidirect
115. #1437C22semidirect
116. #1437C22semidirect
117. #1437C22semidirect
118. #1437C22semidirect
119. #1437C22semidirect
120. #1436C22semidirect
121. #1436C22semidirect
122. C4⋊#95C22semidirect
123. C4⋊#95C22semidirect
124. C22⋊#95C22semidirect
125. C22⋊#95C22semidirect
126. C22⋊#95C22semidirect
127. C22⋊#95C22semidirect
128. C22⋊#95C22semidirect
129. C4×#95C22semidirect
130. C4×#95C22semidirect
151. C23×D4C2×C4semidirect
152. C23×D4C2×C4semidirect
153. C23×D4C2×C4semidirect
175. C2×#127C2×C4semidirect
181. C2×#121C2×C4semidirect
182. C2×#121C2×C4semidirect
189. C2×#120C2×C4semidirect
190. C2×#120C2×C4semidirect
207. C2×C4×D4C2×C4semidirect
208. C2×C4×D4C2×C4semidirect
291. #390D4semidirect
306. #386D4semidirect
530. C23×C4C2×D4semidirect
552. #121C22⋊C4semidirect
588. C2×C4⋊C4C2×D4semidirect
695. C2×C22⋊C4C2×D4semidirect
696. C2×C22⋊C4C2×D4semidirect
697. C2×C22⋊C4C2×D4semidirect
698. C2×C22⋊C4C2×D4semidirect
699. C2×C22⋊C4C2×D4semidirect
727. C2×C42C2×D4semidirect
751. #95C2×D4semidirect
752. #95C2×D4semidirect
968. C2×D4C2×C22⋊C4semidirect
969. C2×D4C2×C22⋊C4semidirect
970. C2×D4C4×D4semidirect
971. C2×D4C4×D4semidirect
1126. C22×C4C2×C22⋊C4semidirect
1162. C4⋊C4C2×C22⋊C4semidirect
1198. C22⋊C4C2×C22⋊C4semidirect
1569. C2×C4D42semidirect
1648. C22D4×C22⋊C4semidirect
1701. C4D4×C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×D422
C2×#23612
C2×D4×C22⋊C42
C2×C4×#1212
C22×#3902
#143612
#143582
#141002
#140252
#139982
#139952
#139672
#139202
#139022
#138722
#138672
#138202
C4×#3862