Finite Group Databasebeta

← #6494405

Subgroups — #6494405

Order 512.

2579 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3222C211yesmaximal, characteristic, complemented
3C2×#3178C211yesmaximal, characteristic, complemented
4C2×#3155C211yesmaximal, characteristic, complemented
5#37424C211yesmaximal, characteristic, complemented
6#37305C211yesmaximal, characteristic, complemented
7#33307C211yesmaximal, characteristic, complemented
8#33306C211yesmaximal, characteristic, complemented
9#33251C211yesmaximal, characteristic, complemented
10#33243C211yesmaximal, characteristic, complemented
11#30275C211yesmaximal, characteristic, complemented
12#30270C211yesmaximal, characteristic, complemented
13#30264C211yesmaximal, characteristic, complemented
14#30260C211yesmaximal, characteristic, complemented
15#28481C211yesmaximal, characteristic, complemented
16#28481C211yesmaximal, characteristic, complemented
17#28480C211yesmaximal, characteristic, complemented
18#28474C211yesmaximal, characteristic, complemented
19#28470C211yesmaximal, characteristic, complemented
20#28469C211yesmaximal, characteristic, complemented
21#28464C211yesmaximal, characteristic, complemented
22#28463C211yesmaximal, characteristic, complemented
23#25796C211yesmaximal, characteristic, complemented
24#25796C211yesmaximal, characteristic, complemented
25#25793C211yesmaximal, characteristic, complemented
26#25791C211yesmaximal, characteristic, complemented
27#25788C211yesmaximal, characteristic, complemented
28#25786C211yesmaximal, characteristic, complemented
29#25781C211yesmaximal, characteristic, complemented
30#25775C211yesmaximal, characteristic, complemented
31#20478C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C23×D8C2211yescharacteristic
36C2×#542C2211yescharacteristic
37C2×#541C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3224—28no—
41#3222—28no—
42#3178—28no—
43C2×#501C2211yescharacteristic, complemented
44#3155—28no—
45C2×#497C2211yescharacteristic, complemented
46C2×#497C2211yescharacteristic, complemented
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#497C2211yescharacteristic, complemented
50C2×#497C2211yescharacteristic, complemented
51C2×#496C2211yescharacteristic
52C2×#496C2211yescharacteristic
53C2×#496C2211yescharacteristic
54C2×#496C2211yescharacteristic
55C2×#496C2211yescharacteristic
56C2×#496C2211yescharacteristic
57C2×#496C2211yescharacteristic, complemented
58C2×#496C2211yescharacteristic, complemented
59C2×#496C2211yescharacteristic, complemented
60C2×#495C2211yescharacteristic
61C2×#495C2211yescharacteristic
62C2×#495C2211yescharacteristic
63C2×#495C2211yescharacteristic
64C2×#495C2211yescharacteristic, complemented
65C2×#495C2211yescharacteristic, complemented
66C2×#495C2211yescharacteristic, complemented
67C2×#495C2211yescharacteristic, complemented
68C2×#495C2211yescharacteristic, complemented
69C2×#493C2211yescharacteristic
70C2×#493C2211yescharacteristic
71C2×#492C2211yescharacteristic, complemented
72C2×#492C2211yescharacteristic, complemented
73C2×#492C2211yescharacteristic, complemented
74C2×#490C2211yescharacteristic, complemented
75C2×#489C2211yescharacteristic, complemented
76C2×#488C2211yescharacteristic, complemented
77C2×#488C2211yescharacteristic, complemented
78C2×#487C2211yescharacteristic, complemented
79C2×#486C2211yescharacteristic, complemented
80C2×#470C2211yescharacteristic
81C2×#468C2211yescharacteristic
82C2×#467C2211yescharacteristic
83C2×#465C2211yescharacteristic
84C2×#464C2211yescharacteristic, complemented
85C2×#464C2211yescharacteristic, complemented
86C2×#464C2211yescharacteristic, complemented
87C2×#460C2211yescharacteristic, complemented
88C2×#460C2211yescharacteristic, complemented
89C2×#460C2211yescharacteristic, complemented
90C2×#463C2211yescharacteristic, complemented
91C2×#459C2211yescharacteristic, complemented
92C2×#452C2211yescharacteristic
93C2×#452C2211yescharacteristic
94C2×#452C2211yescharacteristic
95C2×#449C2211yescharacteristic
96C2×#450C2211yescharacteristic
97C2×#450C2211yescharacteristic
98C2×#450C2211yescharacteristic
99C2×#447C2211yescharacteristic
100C2×#441C2211yescharacteristic, complemented
101C2×#440C2211yescharacteristic, complemented
102C2×C4×Q16C2211yescharacteristic, complemented
103C2×C4×SD16C2211yescharacteristic, complemented
104C2×#433C2211yescharacteristic
105C2×#405C2211yescharacteristic
106#2861C2211yescharacteristic, complemented
107#2858C2211yescharacteristic, complemented
108#2858C2211yescharacteristic, complemented
109#2858C2211yescharacteristic, complemented
110#2714—22no—
111#2711—22no—
112#2711—22no—
113#2685—22no—
114#2685—22no—
115#2678—22no—
116#2676—22no—
117#2670—22no—
118#2658C2211yescharacteristic, complemented
119#2657C2211yescharacteristic, complemented
120#2641C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2548C2211yescharacteristic, complemented
123#2548C2211yescharacteristic, complemented
124#2548C2211yescharacteristic, complemented
125#2545C2211yescharacteristic, complemented
126#2545C2211yescharacteristic, complemented
127#2545C2211yescharacteristic, complemented
128#2544C2211yescharacteristic, complemented
129#2541C2211yescharacteristic, complemented
130#2435C2211yescharacteristic
131#2435C2211yescharacteristic
132#2435C2211yescharacteristic
133#2433C2211yescharacteristic
134#2432C2211yescharacteristic
135#2432C2211yescharacteristic
136#2432C2211yescharacteristic
137#2431C2211yescharacteristic
138#2298C2211yescharacteristic
139#2016C2211yescharacteristic, complemented
140#2016C2211yescharacteristic, complemented
141#2016C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2013C2211yescharacteristic, complemented
149#2013C2211yescharacteristic, complemented
150#2012C2211yescharacteristic
151#2012C2211yescharacteristic
152#2012C2211yescharacteristic
153#2012C2211yescharacteristic
154#2012C2211yescharacteristic
155#2012C2211yescharacteristic
156#2012C2211yescharacteristic, complemented
157#2012C2211yescharacteristic, complemented
158#2012C2211yescharacteristic, complemented
159#2012C2211yescharacteristic, complemented
160#2012C2211yescharacteristic, complemented
161#2012C2211yescharacteristic, complemented
162#2012C2211yescharacteristic, complemented
163#2012C2211yescharacteristic, complemented
164#2012C2211yescharacteristic, complemented
165#2012C2211yescharacteristic, complemented
166#2011C2211yescharacteristic
167#2011C2211yescharacteristic
168#2011C2211yescharacteristic, complemented
169#2011C2211yescharacteristic, complemented
170#2011C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1973C2211yescharacteristic, complemented
173#1973C2211yescharacteristic, complemented
174#1973C2211yescharacteristic, complemented
175#1972C2211yescharacteristic
176#1972C2211yescharacteristic
177#1972C2211yescharacteristic, complemented
178#1972C2211yescharacteristic, complemented
179#1970C2211yescharacteristic
180#1970C2211yescharacteristic
181#1970C2211yescharacteristic, complemented
182#1970C2211yescharacteristic, complemented
183#1968C2211yescharacteristic, complemented
184#1968C2211yescharacteristic, complemented
185#1968C2211yescharacteristic, complemented
186#1968C2211yescharacteristic, complemented
187#1771C2211yescharacteristic, complemented
188#1771C2211yescharacteristic, complemented
189#1770C2211yescharacteristic, complemented
190C8×C4⋊C4C2211yescharacteristic, complemented
191#1753C2211yescharacteristic
192#1753C2211yescharacteristic
193#1752C2211yescharacteristic
194C8×C22⋊C4C2211yescharacteristic
195#1746C2211yescharacteristic, complemented
196#1744C2211yescharacteristic, complemented
197#1726C2211yescharacteristic, complemented
198C4×#97C2211yescharacteristic, complemented
199C22×#41C2311yescharacteristic
200C22×#41C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C2×AGL(1,ℤ/8)—24no—
204C2×AGL(1,ℤ/8)—24no—
205C2×AGL(1,ℤ/8)—42no—
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×#135—24no—
210C2×#135—42no—
211C2×#135—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×D8—24no—
237C22×D8—42no—
238C22×D8—42no—
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#542—24no—
254#542—24no—
255#541—24no—
256#541—24no—
257#535—24no—
258#535—24no—
259#535—24no—
260#535—24no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#126—21no—
274C2×#126—21no—
275C2×#126—21no—
276C2×#125—21no—
277C2×#125—21no—
278C2×#125C2311yescharacteristic
279C2×#124—21no—
280C2×#124—22no—
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#123—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—22no—
306C2×#121C2311yescharacteristic
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—22no—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117C2311yescharacteristic
317#501—24no—
318#497—24no—
319#497—24no—
320#497—42no—
321#497—42no—
322#497—42no—
323#497—42no—
324#496—24no—
325#496—24no—
326#496—24no—
327#496—24no—
328#496—24no—
329#496—42no—
330#496—42no—
331#496—42no—
332#496—42no—
333#495—24no—
334#495—24no—
335#495—24no—
336#495—42no—
337#495—42no—
338#495—42no—
339#495—42no—
340#495—42no—
341#495—42no—
342#493—24no—
343#493—24no—
344#492—24no—
345#492—42no—
346#492—42no—
347#490—24no—
348#489—24no—
349#488—24no—
350#488—24no—
351#487—24no—
352#486—24no—
353#470—24no—
354#468—24no—
355#467—24no—
356#465—24no—
357#464—24no—
358#464—24no—
359#464—24no—
360#463—24no—
361#460—24no—
362#460—24no—
363#460—24no—
364#459—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#450—24no—
369#450—24no—
370#450—24no—
371#449—24no—
372#447—24no—
373#441—24no—
374#440—24no—
375C4×Q16—24no—
376C4×SD16—24no—
377#433D418yescomplemented
378C2×#107C2311yescharacteristic
379C2×#107C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×#106C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
383C2×C4⋊C8C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410#405D418yescomplemented
411C2×#97C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×#97C2311yescharacteristic
417C2×#97C2311yescharacteristic
418C2×C4×C8C2311yescharacteristic
419C2×C4×C8C2311yescharacteristic
420C2×C4×C8C2311yescharacteristic
421C2×C4×C8C2311yescharacteristic
422C2×C4×C8C2311yescharacteristic
423C2×C4×C8C2311yescharacteristic
424C2×C4×C8C2311yescharacteristic
425#399—22no—
426#399—22no—
427#397—22no—
428#396—22no—
429#396—22no—
430#396—22no—
431#394—22no—
432#394—22no—
433#394—22no—
434#394—22no—
435#394—22no—
436#394—22no—
437#394—22no—
438#394—22no—
439#394—22no—
440#394—22no—
441#394—22no—
442#394—22no—
443#393—22no—
444#392—22no—
445#392—22no—
446#392—22no—
447#392—22no—
448#392—22no—
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#390—22no—
454#390—22no—
455#390—22no—
456#390—22no—
457#390—22no—
458#390—22no—
459#390—22no—
460#390—22no—
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#388—22no—
474#388—22no—
475#388—22no—
476#388—22no—
477#388—22no—
478#388D412yes—
479#388D412yes—
480#387D412yes—
481#387D412yes—
482#386—22no—
483#386—22no—
484#385—22no—
485#385—22no—
486#385—22no—
487#379—22no—
488#379—22no—
489#379—22no—
490C4×C4⋊C4C2311yescharacteristic
491C4×C4⋊C4C2311yescharacteristic
492C4×C22⋊C4C2311yescharacteristic
493C4×C22⋊C4C2311yescharacteristic
494#376C2311yescharacteristic
495C43C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504C25—21no—
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8—21no—
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×Q8C2411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—22no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4C2411yescharacteristic
563AGL(1,ℤ/8)—416no—
564AGL(1,ℤ/8)—416no—
565#135—416no—
566C2×Q16—22no—
567C2×Q16—22no—
568C2×Q16—22no—
569C2×Q16—22no—
570C2×Q16—22no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—22no—
574C2×Q16—22no—
575C2×Q16—22no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—416no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×M16—22no—
676C2×M16—22no—
677C2×M16C2×D414yes—
678C22×C8—22no—
679C22×C8—22no—
680C22×C8C2×D414yes—
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C4⋊Q8—22no—
690C4⋊Q8—22no—
691C4⋊Q8—22no—
692C4⋊Q8—22no—
693C4⋊Q8—41no—
694C4⋊Q8—41no—
695C4⋊Q8—41no—
696C4⋊Q8—41no—
697C4⋊Q8—41no—
698C4⋊Q8—41no—
699#127—22no—
700#127—22no—
701#127—22no—
702#127—22no—
703#127—22no—
704#127—22no—
705#127—22no—
706#127—22no—
707#127—41no—
708#127—41no—
709#127—41no—
710#127—41no—
711#127—41no—
712#127—41no—
713#126—44no—
714#126—44no—
715#126—44no—
716#125—22no—
717#125—22no—
718#125—44no—
719#125—44no—
720#124—22no—
721#124—22no—
722#124—22no—
723#124—22no—
724#124—22no—
725#124—22no—
726#124—22no—
727#124—22no—
728#124—22no—
729#124—22no—
730#124—41no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124—44no—
751#124—84no—
752#123—44no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—44no—
760#121—22no—
761#121—22no—
762#121—44no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—84no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—84no—
772C4×Q8—22no—
773C4×Q8—22no—
774C4×Q8—22no—
775C4×Q8—22no—
776C4×Q8—22no—
777C4×Q8—22no—
778C4×D4—22no—
779C4×D4—22no—
780#117C2×D414yes—
781#117C2×D414yes—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—22no—
794C2×C4⋊C4—22no—
795C2×C4⋊C4—22no—
796C2×C4⋊C4C2×D412yes—
797C2×C4⋊C4C2×D412yes—
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2×D411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—22no—
831C2×C22⋊C4—22no—
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4C2×D412yes—
842C2×C22⋊C4C2×D412yes—
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42C2×D412yes—
849C2×C42C2×D412yes—
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853C2×C42C2411yescharacteristic
854C2×C42C2411yescharacteristic
855C2×C42C2411yescharacteristic
856#107—22no—
857#107—22no—
858#106—22no—
859#106—22no—
860C4⋊C8C2×D414yes—
861C4⋊C8C2×D414yes—
862#103—22no—
863#103—22no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886C22⋊C8C2×D414yes—
887C22⋊C8C2×D414yes—
888#97—22no—
889#97—22no—
890#97—22no—
891#97—22no—
892#97C2×D414yes—
893#97C2×D414yes—
894#97C2×D414yes—
895C4×C8—22no—
896C4×C8—22no—
897C4×C8—22no—
898C4×C8—22no—
899C4×C8C2×D414yes—
900C4×C8C2×D414yes—
901C4×C8C2×D414yes—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
906#95C2×D412yes—
907#95C2×D412yes—
908#95C2×D412yes—
909#95C2×D412yes—
910#95C2×D412yes—
911#95C2×D412yes—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—42no—
920C24—42no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—82no—
926C24—82no—
927C24—82no—
928C24—82no—
929C24C22×D411yescharacteristic
930#41—44no—
931#41—44no—
932#41—44no—
933#41—44no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—42no—
969C2×Q8—82no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—82no—
1031C2×D4—82no—
1032C2×D4—82no—
1033C2×D4—82no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—82no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—82no—
1049C2×D4—82no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—82no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—82no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—82no—
1080C22×C4C22×D412yes—
1081C22×C4C22×D412yes—
1082C22×C4C22×D412yes—
1083C22×C4C22×D412yes—
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D412yes—
1090C22×C4C22×D412yes—
1091C22×C4C2511yescharacteristic
1092Q16—44no—
1093Q16—44no—
1094Q16—44no—
1095Q16—82no—
1096Q16—82no—
1097Q16—82no—
1098SD16—44no—
1099SD16—44no—
1100SD16—44no—
1101SD16—44no—
1102SD16—44no—
1103SD16—44no—
1104SD16—44no—
1105SD16—44no—
1106SD16—82no—
1107SD16—82no—
1108SD16—82no—
1109SD16—82no—
1110SD16—82no—
1111SD16—82no—
1112SD16—82no—
1113SD16—82no—
1114SD16—82no—
1115SD16—82no—
1116D8—44no—
1117D8—44no—
1118D8—44no—
1119D8—44no—
1120D8—44no—
1121D8—44no—
1122D8—44no—
1123D8—44no—
1124D8—44no—
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128M16—28no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—28no—
1142C2×C8C22×D412yes—
1143C2×C8C22×D412yes—
1144C2×C8C22×D412yes—
1145C2×C8C22×D412yes—
1146C2×C8C22×D412yes—
1147C2×C8C22×D412yes—
1148C2×C8C22×D412yes—
1149C2×C8C22×D412yes—
1150C2×C8H(5,𝔽2)12yes—
1151C2×C8H(5,𝔽2)12yes—
1152C2×C8H(5,𝔽2)12yes—
1153C2×C8H(5,𝔽2)12yes—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—82no—
1176C4⋊C4—82no—
1177C4⋊C4—82no—
1178C4⋊C4#12714yes—
1179C4⋊C4#12714yes—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—82no—
1200C22⋊C4—82no—
1201C22⋊C4—82no—
1202C22⋊C4—82no—
1203C22⋊C4—82no—
1204C22⋊C4—82no—
1205C22⋊C4—82no—
1206C22⋊C4—82no—
1207C22⋊C4—82no—
1208C22⋊C4—82no—
1209C22⋊C4—82no—
1210C22⋊C4—82no—
1211C22⋊C4—82no—
1212C22⋊C4—82no—
1213C22⋊C4—82no—
1214C22⋊C4—82no—
1215C22⋊C4—82no—
1216C22⋊C4—82no—
1217C22⋊C4—82no—
1218C22⋊C4—82no—
1219C22⋊C4#12714yes—
1220C22⋊C4#12714yes—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—42no—
1230C42—42no—
1231C42—42no—
1232C42—42no—
1233C42—42no—
1234C42C22×D412yes—
1235C42C22×D412yes—
1236C42C22×D412yes—
1237C42C22×D412yes—
1238C23—22no—
1239C23—22no—
1240C23—21no—
1241C23—21no—
1242C23—42no—
1243C23—42no—
1244C23—42no—
1245C23—42no—
1246C23—42no—
1247C23—42no—
1248C23—42no—
1249C23—42no—
1250C23—42no—
1251C23—42no—
1252C23—42no—
1253C23—42no—
1254C23—42no—
1255C23—42no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—84no—
1278C23—84no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23—164no—
1284C23—164no—
1285C23—164no—
1286C23—164no—
1287C23C2×#12712yes—
1288C23C23×D411yescharacteristic
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—41no—
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—41no—
1307Q8—41no—
1308Q8—41no—
1309Q8—162no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—41no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—162no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348D4—162no—
1349D4—162no—
1350D4—164no—
1351D4—164no—
1352D4—164no—
1353D4—162no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—42no—
1377C2×C4—42no—
1378C2×C4—42no—
1379C2×C4—42no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—84no—
1400C2×C4—84no—
1401C2×C4—162no—
1402C2×C4C2×#12712yes—
1403C2×C4C2×#12712yes—
1404C2×C4C2×#12712yes—
1405C2×C4C2×#12712yes—
1406C2×C4C2×#12712yes—
1407C2×C4C23×D411yescharacteristic
1408C2×C4C23×D411yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4C2×H(5,𝔽2)11yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C8—22no—
1414C8—22no—
1415C8—22no—
1416C8—22no—
1417C8—22no—
1418C8—22no—
1419C8#53514yes—
1420C8#53514yes—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—42no—
1425C22—42no—
1426C22—82no—
1427C22—82no—
1428C22—82no—
1429C22—82no—
1430C22—82no—
1431C22—82no—
1432C22—82no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—82no—
1455C22—82no—
1456C22—82no—
1457C22—82no—
1458C22—82no—
1459C22—82no—
1460C22—82no—
1461C22—168no—
1462C22—168no—
1463C22C22×#12711yescharacteristic
1464C22#349811yescharacteristic
1465C22#349811yescharacteristic
1466C22#358412yes—
1467C22#358512yes—
1468C4—22no—
1469C4—22no—
1470C4—22no—
1471C4—22no—
1472C4—22no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4C2×#53511yescharacteristic
1487C4C2×#53511yescharacteristic
1488C4#349811yescharacteristic
1489C4#349811yescharacteristic
1490C2—42no—
1491C2—161no—
1492C2—161no—
1493C2—161no—
1494C2—161no—
1495C2—161no—
1496C2—161no—
1497C2—161no—
1498C2#3527411yescharacteristic
1499C2#6064911yescharacteristic
1500C2#6065011yescharacteristic
1501C2#6246112yes—
1502C2#6246812yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2298 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3224C2semidirect
2. C2×#3222C2semidirect
3. C2×#3178C2semidirect
4. C2×#3155C2semidirect
5. #37424C2semidirect
6. #37305C2semidirect
7. #33307C2semidirect
8. #33306C2semidirect
9. #33251C2semidirect
10. #33243C2semidirect
11. #30275C2semidirect
12. #30270C2semidirect
13. #30264C2semidirect
14. #30260C2semidirect
15. #28481C2semidirect
16. #28481C2semidirect
17. #28480C2semidirect
18. #28474C2semidirect
19. #28470C2semidirect
20. #28469C2semidirect
21. #28464C2semidirect
22. #28463C2semidirect
23. #25796C2semidirect
24. #25796C2semidirect
25. #25793C2semidirect
26. #25791C2semidirect
27. #25788C2semidirect
28. #25786C2semidirect
29. #25781C2semidirect
30. #25775C2semidirect
31. #20478C2semidirect
43. C2×#501C22semidirect
45. C2×#497C22semidirect
46. C2×#497C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
49. C2×#497C22semidirect
50. C2×#497C22semidirect
57. C2×#496C22semidirect
58. C2×#496C22semidirect
59. C2×#496C22semidirect
64. C2×#495C22semidirect
65. C2×#495C22semidirect
66. C2×#495C22semidirect
67. C2×#495C22semidirect
68. C2×#495C22semidirect
71. C2×#492C22semidirect
72. C2×#492C22semidirect
73. C2×#492C22semidirect
74. C2×#490C22semidirect
75. C2×#489C22semidirect
76. C2×#488C22semidirect
77. C2×#488C22semidirect
78. C2×#487C22semidirect
79. C2×#486C22semidirect
84. C2×#464C22semidirect
85. C2×#464C22semidirect
86. C2×#464C22semidirect
87. C2×#460C22semidirect
88. C2×#460C22semidirect
89. C2×#460C22semidirect
90. C2×#463C22semidirect
91. C2×#459C22semidirect
100. C2×#441C22semidirect
101. C2×#440C22semidirect
102. C2×C4×Q16C22semidirect
103. C2×C4×SD16C22semidirect
106. #2861C22semidirect
107. #2858C22semidirect
108. #2858C22semidirect
109. #2858C22semidirect
118. #2658C22semidirect
119. #2657C22semidirect
120. #2641C22semidirect
121. #2640C22semidirect
122. #2548C22semidirect
123. #2548C22semidirect
124. #2548C22semidirect
125. #2545C22semidirect
126. #2545C22semidirect
127. #2545C22semidirect
128. #2544C22semidirect
129. #2541C22semidirect
139. #2016C22semidirect
140. #2016C22semidirect
141. #2016C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2015C22semidirect
145. #2015C22semidirect
146. #2014C22semidirect
147. #2013C22semidirect
148. #2013C22semidirect
149. #2013C22semidirect
156. #2012C22semidirect
157. #2012C22semidirect
158. #2012C22semidirect
159. #2012C22semidirect
160. #2012C22semidirect
161. #2012C22semidirect
162. #2012C22semidirect
163. #2012C22semidirect
164. #2012C22semidirect
165. #2012C22semidirect
168. #2011C22semidirect
169. #2011C22semidirect
170. #2011C22semidirect
171. #1973C22semidirect
172. #1973C22semidirect
173. #1973C22semidirect
174. #1973C22semidirect
177. #1972C22semidirect
178. #1972C22semidirect
181. #1970C22semidirect
182. #1970C22semidirect
183. #1968C22semidirect
184. #1968C22semidirect
185. #1968C22semidirect
186. #1968C22semidirect
187. #1771C22semidirect
188. #1771C22semidirect
189. #1770C22semidirect
190. C8×C4⋊C4C22semidirect
195. #1746C22semidirect
196. #1744C22semidirect
197. #1726C22semidirect
198. C4×#97C22semidirect
377. #433D4semidirect
410. #405D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#32222
C2×#31782
C2×#31552
#374242
#373052
#333072
#333062
#332512
#332432
#302752
#302702
#302642
#302602
#284812
#284802
#284742
#284702
#284692
#284642
#284632
#257962
#257932
#257912
#257882
#257862
#257812
#257752
#204782