Finite Group Databasebeta

← #7090344

Subgroups — #7090344

Order 512.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44935C211yesmaximal, characteristic, complemented
2#42581C211yesmaximal, characteristic, complemented
3#32654C211yesmaximal, characteristic, complemented
4#32610C211yesmaximal, characteristic, complemented
5#31946C211yesmaximal, characteristic, complemented
6#31299C211yesmaximal, characteristic, complemented
7#30984C211yesmaximal, characteristic, complemented
8#30574C211yesmaximal, characteristic, complemented
9#30462C211yesmaximal, characteristic, complemented
10#30400C211yesmaximal, characteristic, complemented
11#29507C211yesmaximal, characteristic, complemented
12#29505C211yesmaximal, characteristic, complemented
13#28857C211yesmaximal, characteristic, complemented
14#28337C211yesmaximal, characteristic, complemented
15#26984C211yesmaximal, characteristic, complemented
16#26961C211yesmaximal, characteristic, complemented
17#26634C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25631C211yesmaximal, characteristic, complemented
20#25414C211yesmaximal, characteristic, complemented
21#25174C211yesmaximal, characteristic, complemented
22#25148C211yesmaximal, characteristic, complemented
23#24899C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#24184C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23810C211yesmaximal, characteristic, complemented
28#23275C211yesmaximal, characteristic, complemented
29#22872C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22279C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#550C2211yescharacteristic, complemented
35C2×#496C2211yescharacteristic
36C2×#493C2211yescharacteristic
37C2×#482C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#466C2211yescharacteristic
40C2×#466C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#442C2211yescharacteristic
50C2×#442C2211yescharacteristic, complemented
51C2×C4×D8C2211yescharacteristic
52C2×C4×D8C2211yescharacteristic
53C2×C4×D8C2211yescharacteristic, complemented
54C2×#416C2211yescharacteristic, complemented
55#2825—21no—
56#2778—21no—
57#2697—21no—
58#2688—21no—
59#2688—21no—
60#2678—21no—
61#2676—21no—
62#2673—21no—
63#2673—21no—
64#2648—21no—
65#2644C2211yescharacteristic
66#2617—21no—
67#2581C2211yescharacteristic, complemented
68#2548C2211yescharacteristic
69#2538C2211yescharacteristic
70#2535C2211yescharacteristic
71#2500C2211yescharacteristic
72#2494C2211yescharacteristic
73#2472—21no—
74#2444—21no—
75#2444—21no—
76#2433C2211yescharacteristic
77#2431C2211yescharacteristic
78#2431C2211yescharacteristic, complemented
79#2430—21no—
80#2430—21no—
81#2428C2211yescharacteristic
82#2428C2211yescharacteristic
83#2428C2211yescharacteristic
84#2428C2211yescharacteristic, complemented
85#2422C2211yescharacteristic
86#2422C2211yescharacteristic
87#2422C2211yescharacteristic, complemented
88#2414C2211yescharacteristic
89#2408C2211yescharacteristic
90#2398C2211yescharacteristic
91#2363C2211yescharacteristic
92#2339C2211yescharacteristic
93#2339C2211yescharacteristic, complemented
94D4×C22⋊C4C2211yescharacteristic
95#2328C2211yescharacteristic
96#2328C2211yescharacteristic, complemented
97#2326C2211yescharacteristic, complemented
98#2095C2211yescharacteristic, complemented
99#2092C2211yescharacteristic
100#2092C2211yescharacteristic, complemented
101#2092C2211yescharacteristic, complemented
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2084C2211yescharacteristic, complemented
105#2083C2211yescharacteristic, complemented
106#2076C2211yescharacteristic
107#2073C2211yescharacteristic
108#2071C2211yescharacteristic
109#2067C2211yescharacteristic
110#2067C2211yescharacteristic
111#2066C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2041C2211yescharacteristic
115#2041C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2014C2211yescharacteristic
124#2012C2211yescharacteristic
125#2011C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic, complemented
138#1984C2211yescharacteristic, complemented
139#1984C2211yescharacteristic, complemented
140#1982C2211yescharacteristic, complemented
141#1973C2211yescharacteristic
142#1972C2211yescharacteristic
143#1970C2211yescharacteristic
144#1970C2211yescharacteristic
145#1968C2211yescharacteristic
146#1968C2211yescharacteristic
147#1958C2211yescharacteristic, complemented
148#1957C2211yescharacteristic
149#1957C2211yescharacteristic, complemented
150#1942C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1933C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1924C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic
160#1923C2211yescharacteristic
161#1919C2211yescharacteristic, complemented
162#1895C2211yescharacteristic
163#1893C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1836C2211yescharacteristic, complemented
191#1809C2211yescharacteristic
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic
196C4×#102C2211yescharacteristic, complemented
197#1753C2211yescharacteristic
198#1753C2211yescharacteristic
199C8×C22⋊C4C2211yescharacteristic, complemented
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1746C2211yescharacteristic, complemented
202#1746C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#550—42no—
225#550—42no—
226#550—42no—
227#550—42no—
228C2×#127—21no—
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×Q8C2311yescharacteristic
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C22⋊C4—21no—
274#496—24no—
275#493—42no—
276#482—42no—
277#469—42no—
278#466—42no—
279#466—42no—
280#459—42no—
281#459—42no—
282#449—24no—
283#449—42no—
284#449—42no—
285#449—42no—
286#447—42no—
287#447—42no—
288#442—42no—
289#442—42no—
290C4×D8—42no—
291C4×D8—42no—
292C4×D8—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#416—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#401—21no—
349#400—21no—
350#400D411yescharacteristic
351#400D411yescharacteristic
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397D411yescharacteristic
361#397D411yescharacteristic
362#396—21no—
363#396—21no—
364#396—21no—
365#395—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394D411yescharacteristic
380#394D411yescharacteristic
381#393D411yescharacteristic
382#393D411yescharacteristic
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#390—21no—
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#387—21no—
427#387—21no—
428#387—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#384C2311yescharacteristic
460#384C2311yescharacteristic
461#382C2311yescharacteristic
462#382C2311yescharacteristic
463#381—21no—
464#381—21no—
465#380—21no—
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#379—21no—
471#379—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4—21no—
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478#376C2311yescharacteristic
479C2×#95—21no—
480C2×#95—21no—
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
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—
518C2×#41—44no—
519C2×#41—82no—
520C2×#41—82no—
521C22×Q8C2×D411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×D4—22no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
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—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4C2×D411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569AGL(1,ℤ/8)—416no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16#4114yescomplemented
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×M16—22no—
607C2×M16—22no—
608C2×M16—41no—
609C22×C8—22no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#127—22no—
621#127—22no—
622#127—22no—
623#127—22no—
624#127—22no—
625#127—41no—
626#127—41no—
627#127—41no—
628#127—41no—
629#127—41no—
630#127—44no—
631#124—22no—
632#124—41no—
633#124—82no—
634#123—82no—
635#123—82no—
636#123—82no—
637C22⋊Q8—82no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—44no—
645#121—44no—
646#121—44no—
647#121—44no—
648#121—44no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—82no—
660#121—82no—
661#121—82no—
662#121—82no—
663#120—82no—
664#120—82no—
665#120—82no—
666C4×Q8—41no—
667C4×Q8—41no—
668C4×Q8—41no—
669C4×Q8—41no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—44no—
689#117—41no—
690#117—41no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—82no—
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779#107—22no—
780#107—41no—
781#107—41no—
782#107—41no—
783#107—41no—
784#106—22no—
785#106—41no—
786#106—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789#103—22no—
790#103—22no—
791#103—41no—
792#103—41no—
793#103—41no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827#97—22no—
828#97—22no—
829C4×C8—22no—
830C4×C8—41no—
831C4×C8—41no—
832C4×C8—41no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—42no—
873C24—42no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881#41—44no—
882#41—44no—
883#41—82no—
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888#41—82no—
889#41—816no—
890C2×Q8—22no—
891C2×Q8—22no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—41no—
898C2×Q8C2×#4112yes—
899C2×D4—24no—
900C2×D4—24no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—44no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4C2×#4112yes—
1003C2×D4H(5,𝔽2)12yes—
1004C2×D4H(5,𝔽2)12yes—
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—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C2511yescharacteristic
1070SD16—44no—
1071SD16—44no—
1072SD16—82no—
1073D8—28no—
1074D8—44no—
1075D8—44no—
1076D8—44no—
1077D8—44no—
1078D8—82no—
1079D8—82no—
1080D8—82no—
1081D8—82no—
1082M16—44no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—82no—
1105C2×C8C2×#4112yes—
1106C2×C8H(5,𝔽2)12yes—
1107C2×C8H(5,𝔽2)12yes—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—42no—
1207C42—81no—
1208C42—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—22no—
1217C23—22no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—84no—
1266C23—84no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23C23×D411yescharacteristic
1273Q8—22no—
1274Q8—22no—
1275Q8—44no—
1276Q8—41no—
1277Q8—41no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—22no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—82no—
1307D4—84no—
1308D4—84no—
1309D4—84no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
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—84no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—84no—
1400C2×C4—84no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4—162no—
1406C2×C4#57612yes—
1407C2×C4#57612yes—
1408C2×C4C22×#4111yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4C2×H(5,𝔽2)11yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C2×C4#58511yescharacteristic
1414C8—22no—
1415C8—22no—
1416C8—22no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C8—41no—
1421C8—41no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—42no—
1427C22—41no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—42no—
1433C22—42no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—168no—
1479C22D4×#4111yescharacteristic
1480C22#348411yescharacteristic
1481C22#349811yescharacteristic
1482C22C2×#57611yescharacteristic
1483C22C2×#57611yescharacteristic
1484C22#358411yescharacteristic
1485C22#358511yescharacteristic
1486C4—22no—
1487C4—22no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—42no—
1497C4—41no—
1498C4—41no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4#349011yescharacteristic
1509C4#351911yescharacteristic
1510C4#353411yescharacteristic
1511C4#354211yescharacteristic
1512C2—81no—
1513C2—81no—
1514C2—82no—
1515C2—82no—
1516C2—82no—
1517C2—161no—
1518C2—161no—
1519C2—161no—
1520C2#4422811yescharacteristic
1521C2#6149411yescharacteristic
1522C2#6155511yescharacteristic
1523C2#6161411yescharacteristic
1524C2#6163011yescharacteristic
1525C2#6244011yescharacteristic
1526C2#6246311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2398 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44935C2semidirect
2. #42581C2semidirect
3. #32654C2semidirect
4. #32610C2semidirect
5. #31946C2semidirect
6. #31299C2semidirect
7. #30984C2semidirect
8. #30574C2semidirect
9. #30462C2semidirect
10. #30400C2semidirect
11. #29507C2semidirect
12. #29505C2semidirect
13. #28857C2semidirect
14. #28337C2semidirect
15. #26984C2semidirect
16. #26961C2semidirect
17. #26634C2semidirect
18. #25794C2semidirect
19. #25631C2semidirect
20. #25414C2semidirect
21. #25174C2semidirect
22. #25148C2semidirect
23. #24899C2semidirect
24. #24435C2semidirect
25. #24184C2semidirect
26. #23869C2semidirect
27. #23810C2semidirect
28. #23275C2semidirect
29. #22872C2semidirect
30. #22442C2semidirect
31. #22279C2semidirect
34. C2×#550C22semidirect
37. C2×#482C22semidirect
40. C2×#466C22semidirect
46. C2×#449C22semidirect
50. C2×#442C22semidirect
53. C2×C4×D8C22semidirect
54. C2×#416C22semidirect
67. #2581C22semidirect
78. #2431C22semidirect
84. #2428C22semidirect
87. #2422C22semidirect
93. #2339C22semidirect
96. #2328C22semidirect
97. #2326C22semidirect
98. #2095C22semidirect
100. #2092C22semidirect
101. #2092C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2084C22semidirect
105. #2083C22semidirect
111. #2066C22semidirect
112. #2055C22semidirect
113. #2042C22semidirect
115. #2041C22semidirect
116. #2041C22semidirect
122. #2033C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
137. #1999C22semidirect
138. #1984C22semidirect
139. #1984C22semidirect
140. #1982C22semidirect
147. #1958C22semidirect
149. #1957C22semidirect
150. #1942C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1933C22semidirect
156. #1928C22semidirect
157. #1924C22semidirect
158. #1924C22semidirect
161. #1919C22semidirect
166. #1880C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
179. #1877C22semidirect
180. #1875C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1836C22semidirect
192. #1802C22semidirect
196. C4×#102C22semidirect
199. C8×C22⋊C4C22semidirect
200. C8×C22⋊C4C22semidirect
201. #1746C22semidirect
202. #1746C22semidirect
578. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#449352
#425812
#326542
#326102
#319462
#312992
#309842
#305742
#304622
#304002
#295072
#295052
#288572
#283372
#269842
#269612
#266342
#257942
#256312
#254142
#251742
#251482
#248992
#244352
#241842
#238692
#238102
#232752
#228722
#224422
#222792