Finite Group Databasebeta

← #6995364

Subgroups — #6995364

Order 512.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1537 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44886C211yesmaximal, characteristic, complemented
2#42989C211yesmaximal, characteristic, complemented
3#31787C211yesmaximal, characteristic, complemented
4#31510C211yesmaximal, characteristic, complemented
5#31413C211yesmaximal, characteristic, complemented
6#31310C211yesmaximal, characteristic, complemented
7#31269C211yesmaximal, characteristic, complemented
8#30701C211yesmaximal, characteristic, complemented
9#30619C211yesmaximal, characteristic, complemented
10#30519C211yesmaximal, characteristic, complemented
11#29050C211yesmaximal, characteristic, complemented
12#28607C211yesmaximal, characteristic, complemented
13#28561C211yesmaximal, characteristic, complemented
14#27270C211yesmaximal, characteristic, complemented
15#27104C211yesmaximal, characteristic, complemented
16#26977C211yesmaximal, characteristic, complemented
17#26748C211yesmaximal, characteristic, complemented
18#26408C211yesmaximal, characteristic, complemented
19#26147C211yesmaximal, characteristic, complemented
20#25139C211yesmaximal, characteristic, complemented
21#25087C211yesmaximal, characteristic, complemented
22#24451C211yesmaximal, characteristic, complemented
23#24391C211yesmaximal, characteristic, complemented
24#24390C211yesmaximal, characteristic, complemented
25#24257C211yesmaximal, characteristic, complemented
26#24049C211yesmaximal, characteristic, complemented
27#23485C211yesmaximal, characteristic, complemented
28#23039C211yesmaximal, characteristic, complemented
29#22849C211yesmaximal, characteristic, complemented
30#22422C211yesmaximal, characteristic, complemented
31#21770C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#486C2211yescharacteristic
37C2×#480C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#468C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic
41C2×#466C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic, complemented
45C2×#447C2211yescharacteristic
46C2×#442C2211yescharacteristic
47C2×#436C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#428C2211yescharacteristic, complemented
50C2×#417C2211yescharacteristic
51C2×#417C2211yescharacteristic, complemented
52C2×#416C2211yescharacteristic, complemented
53C2×#408C2211yescharacteristic
54C2×#408C2211yescharacteristic
55#2829—21no—
56#2778—21no—
57#2730—21no—
58#2688—21no—
59#2676—21no—
60#2676—21no—
61#2673—21no—
62#2669—21no—
63#2669—21no—
64#2665—21no—
65#2653—21no—
66#2615C2211yescharacteristic
67#2555—21no—
68#2547C2211yescharacteristic, complemented
69#2541—21no—
70#2541C2211yescharacteristic
71#2537C2211yescharacteristic
72#2497C2211yescharacteristic, complemented
73#2494C2211yescharacteristic
74#2491C2211yescharacteristic
75#2487C2211yescharacteristic
76#2461—21no—
77#2440C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2431C2211yescharacteristic
80#2428C2211yescharacteristic
81#2426C2211yescharacteristic
82#2424—21no—
83#2424—21no—
84#2420C2211yescharacteristic, complemented
85#2416C2211yescharacteristic
86#2416C2211yescharacteristic, complemented
87#2416C2211yescharacteristic, complemented
88#2414C2211yescharacteristic
89#2407C2211yescharacteristic
90#2388C2211yescharacteristic
91#2363C2211yescharacteristic, complemented
92#2362C2211yescharacteristic
93#2361C2211yescharacteristic
94#2352C2211yescharacteristic, complemented
95#2311C2211yescharacteristic
96#2099C2211yescharacteristic, complemented
97#2092C2211yescharacteristic
98#2087C2211yescharacteristic, complemented
99#2086C2211yescharacteristic, complemented
100#2085C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2071C2211yescharacteristic, complemented
104#2067C2211yescharacteristic
105#2067C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2042C2211yescharacteristic
109#2042C2211yescharacteristic
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2036C2211yescharacteristic
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic
116#2035C2211yescharacteristic, complemented
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic, complemented
126#2024C2211yescharacteristic, complemented
127#2023C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2000C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic, complemented
136#1988C2211yescharacteristic, complemented
137#1982C2211yescharacteristic
138#1982C2211yescharacteristic
139#1970C2211yescharacteristic
140#1961C2211yescharacteristic
141#1959C2211yescharacteristic
142#1955C2211yescharacteristic
143#1944C2211yescharacteristic, complemented
144#1936C2211yescharacteristic
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1933C2211yescharacteristic, complemented
148#1928C2211yescharacteristic, complemented
149#1926C2211yescharacteristic
150#1925C2211yescharacteristic
151#1925C2211yescharacteristic, complemented
152#1924C2211yescharacteristic
153#1923C2211yescharacteristic
154#1921C2211yescharacteristic, complemented
155#1918C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic
158#1895C2211yescharacteristic
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic
166#1892C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1875C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic, complemented
178#1869C2211yescharacteristic, complemented
179#1865C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1862C2211yescharacteristic
182#1862C2211yescharacteristic
183#1854C2211yescharacteristic
184#1852C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1825C2211yescharacteristic
189#1825C2211yescharacteristic
190#1805C2211yescharacteristic, complemented
191#1802C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198C4×#106C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#550—24no—
217#550—42no—
218#546—42no—
219#546—42no—
220#537—42no—
221#537—42no—
222#535—24no—
223#535—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127—21no—
226C2×#127—21no—
227C2×#127—21no—
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—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×#121—21no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281#486—42no—
282#480—42no—
283#469—24no—
284#468—42no—
285#466—42no—
286#466—42no—
287#463—42no—
288#449—42no—
289#449—42no—
290#447—42no—
291#442—42no—
292#436—42no—
293#435—42no—
294#428—42no—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#417—42no—
307#417—42no—
308#416—42no—
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341#408—42no—
342#408—42no—
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×#97C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357#401—21no—
358#400—21no—
359#400—21no—
360#399—21no—
361#398—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#395—21no—
372#395D411yescharacteristic
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394D411yescharacteristic
385#394D411yescharacteristic
386#394D411yescharacteristic
387#393—21no—
388#393—21no—
389#393D411yescharacteristic
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392D411yescharacteristic
403#392D411yescharacteristic
404#392D411yescharacteristic
405#391—21no—
406#391—21no—
407#391C2311yescharacteristic
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—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#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#384C2311yescharacteristic
457#382C2311yescharacteristic
458#381—21no—
459#380—21no—
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470C4×C4⋊C4—21no—
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
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#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
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—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C22×Q8—21no—
525C22×Q8C2×D411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—21no—
528C22×D4—22no—
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—21no—
546C22×D4—21no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C2×SD16—22no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×M16—22no—
586C2×M16—22no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C2×M16—41no—
594C22×C8—22no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8—41no—
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C4⋊Q8—41no—
609C4⋊Q8—41no—
610#127—22no—
611#127—41no—
612#127—41no—
613#127—41no—
614#127—44no—
615#127—44no—
616#127—82no—
617#124—22no—
618#124—41no—
619#124—44no—
620#124—82no—
621#124—82no—
622#123—44no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—41no—
627C22⋊Q8—44no—
628C22⋊Q8—82no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—44no—
640#121—44no—
641#121—44no—
642#121—44no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—44no—
651#121—44no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—82no—
659#121—82no—
660#121—82no—
661#121—82no—
662#121—82no—
663#121#4114yes—
664#120—44no—
665#120—44no—
666#120—44no—
667#120—82no—
668#120—82no—
669C4×Q8—22no—
670C4×Q8—41no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—44no—
682C4×D4—82no—
683#117—22no—
684#117—41no—
685#117—41no—
686#117—41no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—22no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
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⋊C4—21no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
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—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784#107—22no—
785#107—22no—
786#107—41no—
787#107—41no—
788#107—41no—
789#106—22no—
790#106—22no—
791#106—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—41no—
800#103—41no—
801#103—41no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
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—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838#97—41no—
839#97—41no—
840C4×C8—22no—
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#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—42no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24C22×D411yescharacteristic
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885#41—44no—
886#41—44no—
887#41—44no—
888#41—82no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897C2×Q8—22no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—41no—
904C2×Q8—41no—
905C2×Q8—42no—
906C2×Q8—81no—
907C2×Q8—81no—
908C2×Q8H(5,𝔽2)12yes—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—24no—
912C2×D4—22no—
913C2×D4—22no—
914C2×D4—22no—
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—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
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×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4C2×#4112yes—
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—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C2×#4112yes—
1078C22×C4H(5,𝔽2)12yes—
1079C22×C4C2511yescharacteristic
1080SD16—82no—
1081D8—44no—
1082D8—82no—
1083D8—82no—
1084M16—44no—
1085M16—82no—
1086M16—82no—
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—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—82no—
1111C2×C8—82no—
1112C2×C8H(5,𝔽2)12yes—
1113C4⋊C4—24no—
1114C4⋊C4—22no—
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—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4C2×#4112yes—
1152C4⋊C4H(5,𝔽2)12yes—
1153C22⋊C4—24no—
1154C22⋊C4—22no—
1155C22⋊C4—24no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
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—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42—81no—
1215C42—81no—
1216C42—81no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
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—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—84no—
1273C23—84no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23—162no—
1279C23#54612yes—
1280C23C23×D411yescharacteristic
1281Q8—22no—
1282Q8—22no—
1283Q8—41no—
1284Q8—41no—
1285Q8—82no—
1286Q8—162no—
1287D4—22no—
1288D4—22no—
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—41no—
1303D4—82no—
1304D4—82no—
1305D4—82no—
1306D4—82no—
1307D4—82no—
1308D4—84no—
1309D4—84no—
1310D4—82no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
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—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—162no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4#54612yes—
1416C2×C4#57612yes—
1417C2×C4C22×#4111yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4C2×H(5,𝔽2)11yescharacteristic
1422C2×C4#58511yescharacteristic
1423C8—22no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—42no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—42no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—42no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
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—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—168no—
1488C22C2×#54611yescharacteristic
1489C22#348411yescharacteristic
1490C22#349611yescharacteristic
1491C22C2×#57611yescharacteristic
1492C22#358511yescharacteristic
1493C22#358511yescharacteristic
1494C22#358611yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—41no—
1498C4—42no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—42no—
1505C4—41no—
1506C4—42no—
1507C4—41no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4#351311yescharacteristic
1518C4#351911yescharacteristic
1519C4#353711yescharacteristic
1520C4#355811yescharacteristic
1521C2—42no—
1522C2—81no—
1523C2—81no—
1524C2—81no—
1525C2—82no—
1526C2—161no—
1527C2—161no—
1528C2—161no—
1529C2#4299811yescharacteristic
1530C2#6117911yescharacteristic
1531C2#6119911yescharacteristic
1532C2#6165011yescharacteristic
1533C2#6168811yescharacteristic
1534C2#6231511yescharacteristic
1535C2#6233311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44886C2semidirect
2. #42989C2semidirect
3. #31787C2semidirect
4. #31510C2semidirect
5. #31413C2semidirect
6. #31310C2semidirect
7. #31269C2semidirect
8. #30701C2semidirect
9. #30619C2semidirect
10. #30519C2semidirect
11. #29050C2semidirect
12. #28607C2semidirect
13. #28561C2semidirect
14. #27270C2semidirect
15. #27104C2semidirect
16. #26977C2semidirect
17. #26748C2semidirect
18. #26408C2semidirect
19. #26147C2semidirect
20. #25139C2semidirect
21. #25087C2semidirect
22. #24451C2semidirect
23. #24391C2semidirect
24. #24390C2semidirect
25. #24257C2semidirect
26. #24049C2semidirect
27. #23485C2semidirect
28. #23039C2semidirect
29. #22849C2semidirect
30. #22422C2semidirect
31. #21770C2semidirect
39. C2×#468C22semidirect
41. C2×#466C22semidirect
44. C2×#449C22semidirect
47. C2×#436C22semidirect
48. C2×#435C22semidirect
49. C2×#428C22semidirect
51. C2×#417C22semidirect
52. C2×#416C22semidirect
68. #2547C22semidirect
72. #2497C22semidirect
77. #2440C22semidirect
84. #2420C22semidirect
86. #2416C22semidirect
87. #2416C22semidirect
91. #2363C22semidirect
94. #2352C22semidirect
96. #2099C22semidirect
98. #2087C22semidirect
99. #2086C22semidirect
100. #2085C22semidirect
101. #2077C22semidirect
102. #2076C22semidirect
103. #2071C22semidirect
105. #2067C22semidirect
106. #2055C22semidirect
114. #2036C22semidirect
116. #2035C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
125. #2033C22semidirect
126. #2024C22semidirect
135. #1999C22semidirect
136. #1988C22semidirect
143. #1944C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1933C22semidirect
148. #1928C22semidirect
151. #1925C22semidirect
154. #1921C22semidirect
155. #1918C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
166. #1892C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
177. #1870C22semidirect
178. #1869C22semidirect
179. #1865C22semidirect
180. #1864C22semidirect
184. #1852C22semidirect
185. #1852C22semidirect
186. #1851C22semidirect
187. #1850C22semidirect
190. #1805C22semidirect
194. #1788C22semidirect
198. C4×#106C22semidirect
199. #1763C22semidirect
200. #1753C22semidirect
201. #1752C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#448862
#429892
#317872
#315102
#314132
#313102
#312692
#307012
#306192
#305192
#290502
#286072
#285612
#272702
#271042
#269772
#267482
#264082
#261472
#251392
#250872
#244512
#243912
#243902
#242572
#240492
#234852
#230392
#228492
#224222
#217702