Finite Group Databasebeta

← #7027229

Subgroups — #7027229

Order 512.

1926 conjugacy classes of subgroups.

The subgroup lattice has 1477 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59375C211yesmaximal, characteristic, complemented
2#59097C211yesmaximal, characteristic, complemented
3#32224C211yesmaximal, characteristic, complemented
4#31345C211yesmaximal, characteristic, complemented
5#31307C211yesmaximal, characteristic, complemented
6#31240C211yesmaximal, characteristic, complemented
7#31020C211yesmaximal, characteristic, complemented
8#31011C211yesmaximal, characteristic, complemented
9#30985C211yesmaximal, characteristic, complemented
10#30874C211yesmaximal, characteristic, complemented
11#29068C211yesmaximal, characteristic, complemented
12#28119C211yesmaximal, characteristic, complemented
13#27542C211yesmaximal, characteristic, complemented
14#27424C211yesmaximal, characteristic, complemented
15#27243C211yesmaximal, characteristic, complemented
16#27211C211yesmaximal, characteristic, complemented
17#26907C211yesmaximal, characteristic, complemented
18#26834C211yesmaximal, characteristic, complemented
19#26684C211yesmaximal, characteristic, complemented
20#26549C211yesmaximal, characteristic, complemented
21#25887C211yesmaximal, characteristic, complemented
22#25168C211yesmaximal, characteristic, complemented
23#24626C211yesmaximal, characteristic, complemented
24#24366C211yesmaximal, characteristic, complemented
25#24152C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23573C211yesmaximal, characteristic, complemented
28#23105C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22359C211yesmaximal, characteristic, complemented
31#22051C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#551—21no—
34C2×#550C2211yescharacteristic
35C2×#532C2211yescharacteristic, complemented
36C2×#486C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic
38C2×#475C2211yescharacteristic, complemented
39C2×#476C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#442C2211yescharacteristic
48C2×#442C2211yescharacteristic
49C2×C4×D8C2211yescharacteristic
50#2699—21no—
51#2693—21no—
52#2684—21no—
53#2673—21no—
54#2600—21no—
55#2555—21no—
56#2547C2211yescharacteristic
57#2541C2211yescharacteristic, complemented
58#2496C2211yescharacteristic
59#2496C2211yescharacteristic
60#2491C2211yescharacteristic
61#2480—21no—
62#2480—21no—
63#2477—21no—
64#2477—21no—
65#2464—21no—
66#2459—21no—
67#2452C2211yescharacteristic
68#2452C2211yescharacteristic
69#2451C2211yescharacteristic, complemented
70#2445C2211yescharacteristic, complemented
71#2431—21no—
72#2431C2211yescharacteristic
73#2431C2211yescharacteristic, complemented
74#2430—21no—
75#2428C2211yescharacteristic
76#2422C2211yescharacteristic
77#2422C2211yescharacteristic
78#2414C2211yescharacteristic
79#2408C2211yescharacteristic
80#2367C2211yescharacteristic, complemented
81#2364—21no—
82#2363C2211yescharacteristic, complemented
83#2354C2211yescharacteristic
84#2354C2211yescharacteristic
85#2339C2211yescharacteristic
86D4×C22⋊C4C2211yescharacteristic
87D4×C22⋊C4C2211yescharacteristic
88C4×#123C2211yescharacteristic
89C4×#121C2211yescharacteristic
90C4×#121C2211yescharacteristic
91#2297C2211yescharacteristic, complemented
92#2099C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2077C2211yescharacteristic
95#2076C2211yescharacteristic
96#2072C2211yescharacteristic, complemented
97#2071C2211yescharacteristic, complemented
98#2067C2211yescharacteristic, complemented
99#2066C2211yescharacteristic, complemented
100#2066C2211yescharacteristic, complemented
101#2065C2211yescharacteristic
102#2065C2211yescharacteristic
103#2065C2211yescharacteristic, complemented
104#2058C2211yescharacteristic, complemented
105#2058C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2054C2211yescharacteristic
110#2042C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic, complemented
123#2012C2211yescharacteristic
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1987C2211yescharacteristic, complemented
133#1982C2211yescharacteristic, complemented
134#1982C2211yescharacteristic, complemented
135#1973C2211yescharacteristic
136#1972C2211yescharacteristic
137#1972C2211yescharacteristic
138#1970C2211yescharacteristic
139#1968C2211yescharacteristic
140#1959C2211yescharacteristic, complemented
141#1957C2211yescharacteristic, complemented
142#1954C2211yescharacteristic
143#1947C2211yescharacteristic, complemented
144#1941C2211yescharacteristic, complemented
145#1939C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1935C2211yescharacteristic, complemented
149#1934C2211yescharacteristic
150#1928C2211yescharacteristic, complemented
151#1927C2211yescharacteristic, complemented
152#1926C2211yescharacteristic
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1925C2211yescharacteristic, complemented
156#1924C2211yescharacteristic
157#1924C2211yescharacteristic
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1920C2211yescharacteristic, complemented
161#1920C2211yescharacteristic, complemented
162#1917C2211yescharacteristic, complemented
163#1916C2211yescharacteristic, complemented
164#1895C2211yescharacteristic
165#1895C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1875C2211yescharacteristic
179#1870C2211yescharacteristic
180#1864C2211yescharacteristic
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1851C2211yescharacteristic
186#1825C2211yescharacteristic, complemented
187#1809C2211yescharacteristic
188#1802C2211yescharacteristic, complemented
189#1797C2211yescharacteristic, complemented
190#1788C2211yescharacteristic
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1771C2211yescharacteristic, complemented
197#1762C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202#1749C2211yescharacteristic, 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×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×M16C2311yescharacteristic
219#551—48no—
220#550—42no—
221#550—42no—
222#532—42no—
223#532—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×C4⋊Q8C2311yescharacteristic
226C2×#127—21no—
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#126—21no—
231C2×#126—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123D411yescharacteristic
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#120—21no—
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117—21no—
269C2×#117—21no—
270C2×#117C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C42C2311yescharacteristic
274#486—42no—
275#482—42no—
276#476—42no—
277#475—42no—
278#463—24no—
279#459—42no—
280#459—42no—
281#449—24no—
282#449—42no—
283#447—42no—
284#447—42no—
285#442—42no—
286#442—42no—
287C4×D8—42no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#400—21no—
347#398—21no—
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#396—21no—
355#396—21no—
356#395—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#393—21no—
366#393—21no—
367#393—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#391—21no—
378#391—21no—
379#391C2311yescharacteristic
380#391C2311yescharacteristic
381#391C2311yescharacteristic
382#390—21no—
383#390—21no—
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388D411yescharacteristic
413#388D411yescharacteristic
414#387—21no—
415#387—21no—
416#387—21no—
417#387D411yescharacteristic
418#387D411yescharacteristic
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386D411yescharacteristic
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385D411yescharacteristic
443#384C2311yescharacteristic
444#384C2311yescharacteristic
445#381—21no—
446#381D411yescharacteristic
447#380—21no—
448#380—21no—
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#379—21no—
456#379—21no—
457#379—21no—
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4—21no—
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C2×#95—21no—
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—44no—
514C2×#41—82no—
515C2×#41—82no—
516C22×Q8—21no—
517C22×Q8—21no—
518C22×Q8C2411yescharacteristic
519C22×D4—21no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
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—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559AGL(1,ℤ/8)—416no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16#4114yescomplemented
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×M16—22no—
585C2×M16—41no—
586C2×M16—41no—
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C4⋊Q8—22no—
596C4⋊Q8—41no—
597C4⋊Q8—41no—
598C4⋊Q8—41no—
599#127—22no—
600#127—22no—
601#127—41no—
602#127—41no—
603#127—41no—
604#127—41no—
605#127—44no—
606#126—44no—
607#126—44no—
608#124—22no—
609#124—41no—
610#124—44no—
611#124—44no—
612#124—82no—
613#123—24no—
614#123—44no—
615#123—44no—
616#123—82no—
617C22⋊Q8—44no—
618C22⋊Q8—44no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—44no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—44no—
631#121—44no—
632#121—44no—
633#121—41no—
634#121—41no—
635#121—82no—
636#121—82no—
637#120—44no—
638C4×Q8—22no—
639C4×Q8—41no—
640C4×D4—22no—
641C4×D4—22no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—44no—
657C4×D4—44no—
658C4×D4—44no—
659C4×D4—44no—
660#117—44no—
661#117—44no—
662#117—41no—
663#117—41no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
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—44no—
737C2×C22⋊C4—44no—
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—41no—
753C2×C42—41no—
754C2×C42C2×D411yescharacteristic
755C2×C42C2×D411yescharacteristic
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758C2×C42C2411yescharacteristic
759C2×C42C2411yescharacteristic
760C2×C42C2411yescharacteristic
761#107—41no—
762#107—41no—
763#106—22no—
764#106—22no—
765#106—41no—
766#106—41no—
767#106—41no—
768#106—41no—
769C4⋊C8—22no—
770C4⋊C8—41no—
771C4⋊C8—41no—
772C4⋊C8—41no—
773C4⋊C8—41no—
774#103—22no—
775#103—22no—
776#103—41no—
777#103—41no—
778#103—41no—
779#103—41no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806C22⋊C8—22no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813#97—41no—
814#97—41no—
815#97—41no—
816C4×C8—41no—
817C4×C8—41no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—81no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24C22×D411yescharacteristic
863C24C22×D411yescharacteristic
864#41—44no—
865#41—82no—
866#41—82no—
867#41—82no—
868#41—82no—
869#41—82no—
870#41—82no—
871#41—82no—
872#41—816no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—42no—
879C2×Q8—42no—
880C2×Q8—42no—
881C2×Q8—81no—
882C2×Q8—81no—
883C2×Q8—81no—
884C2×Q8C2×#4112yes—
885C2×D4—24no—
886C2×D4—22no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
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—41no—
915C2×D4—41no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—44no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
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×D4C2×#4112yes—
965C2×D4H(5,𝔽2)12yes—
966C2×D4H(5,𝔽2)12yes—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—22no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C2511yescharacteristic
1036SD16—44no—
1037SD16—44no—
1038D8—28no—
1039D8—44no—
1040D8—44no—
1041D8—82no—
1042D8—82no—
1043D8—82no—
1044M16—44no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8C2×#4112yes—
1069C4⋊C4—22no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4AGL(1,ℤ/8)14yescomplemented
1106C4⋊C4H(5,𝔽2)12yes—
1107C22⋊C4—24no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—41no—
1170C42—41no—
1171C42—42no—
1172C42—42no—
1173C42—42no—
1174C42—42no—
1175C42—81no—
1176C42—81no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—22no—
1184C23—21no—
1185C23—21no—
1186C23—22no—
1187C23—21no—
1188C23—21no—
1189C23—22no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—84no—
1227C23—84no—
1228C23—84no—
1229C23—162no—
1230C23—162no—
1231C23—162no—
1232C23—162no—
1233C23C23×D411yescharacteristic
1234Q8—22no—
1235Q8—22no—
1236Q8—41no—
1237Q8—41no—
1238Q8—84no—
1239Q8—162no—
1240D4—22no—
1241D4—22no—
1242D4—22no—
1243D4—22no—
1244D4—22no—
1245D4—22no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—82no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—84no—
1268D4—84no—
1269D4—84no—
1270D4—84no—
1271D4—162no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—44no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—82no—
1352C2×C4—84no—
1353C2×C4—84no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—84no—
1358C2×C4—162no—
1359C2×C4—162no—
1360C2×C4—162no—
1361C2×C4C2×AGL(1,ℤ/8)12yes—
1362C2×C4C2×AGL(1,ℤ/8)12yes—
1363C2×C4C2×AGL(1,ℤ/8)12yes—
1364C2×C4C22×#4111yescharacteristic
1365C2×C4C2×H(5,𝔽2)11yescharacteristic
1366C2×C4C2×H(5,𝔽2)11yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4#58511yescharacteristic
1369C2×C4#58511yescharacteristic
1370C8—22no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C22—42no—
1379C22—41no—
1380C22—41no—
1381C22—42no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—42no—
1387C22—41no—
1388C22—41no—
1389C22—42no—
1390C22—41no—
1391C22—41no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—168no—
1428C22D4×#4111yescharacteristic
1429C22#348411yescharacteristic
1430C22#348811yescharacteristic
1431C22C22×AGL(1,ℤ/8)11yescharacteristic
1432C22#358411yescharacteristic
1433C22#358511yescharacteristic
1434C22#358511yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—42no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—42no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4#349011yescharacteristic
1459C4#351411yescharacteristic
1460C4#354211yescharacteristic
1461C4#356011yescharacteristic
1462C2—81no—
1463C2—81no—
1464C2—82no—
1465C2—82no—
1466C2—82no—
1467C2—161no—
1468C2—161no—
1469C2#4310911yescharacteristic
1470C2#6146511yescharacteristic
1471C2#6153111yescharacteristic
1472C2#6159811yescharacteristic
1473C2#6164411yescharacteristic
1474C2#6196111yescharacteristic
1475C2#6202411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59375C2semidirect
2. #59097C2semidirect
3. #32224C2semidirect
4. #31345C2semidirect
5. #31307C2semidirect
6. #31240C2semidirect
7. #31020C2semidirect
8. #31011C2semidirect
9. #30985C2semidirect
10. #30874C2semidirect
11. #29068C2semidirect
12. #28119C2semidirect
13. #27542C2semidirect
14. #27424C2semidirect
15. #27243C2semidirect
16. #27211C2semidirect
17. #26907C2semidirect
18. #26834C2semidirect
19. #26684C2semidirect
20. #26549C2semidirect
21. #25887C2semidirect
22. #25168C2semidirect
23. #24626C2semidirect
24. #24366C2semidirect
25. #24152C2semidirect
26. #23869C2semidirect
27. #23573C2semidirect
28. #23105C2semidirect
29. #22442C2semidirect
30. #22359C2semidirect
31. #22051C2semidirect
35. C2×#532C22semidirect
36. C2×#486C22semidirect
38. C2×#475C22semidirect
57. #2541C22semidirect
69. #2451C22semidirect
70. #2445C22semidirect
73. #2431C22semidirect
80. #2367C22semidirect
82. #2363C22semidirect
91. #2297C22semidirect
92. #2099C22semidirect
93. #2094C22semidirect
96. #2072C22semidirect
97. #2071C22semidirect
98. #2067C22semidirect
99. #2066C22semidirect
100. #2066C22semidirect
103. #2065C22semidirect
104. #2058C22semidirect
105. #2058C22semidirect
110. #2042C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
122. #2023C22semidirect
132. #1987C22semidirect
133. #1982C22semidirect
134. #1982C22semidirect
140. #1959C22semidirect
141. #1957C22semidirect
143. #1947C22semidirect
144. #1941C22semidirect
145. #1939C22semidirect
146. #1936C22semidirect
147. #1936C22semidirect
148. #1935C22semidirect
150. #1928C22semidirect
151. #1927C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
155. #1925C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1920C22semidirect
161. #1920C22semidirect
162. #1917C22semidirect
163. #1916C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1862C22semidirect
184. #1854C22semidirect
186. #1825C22semidirect
188. #1802C22semidirect
189. #1797C22semidirect
193. #1788C22semidirect
194. #1788C22semidirect
196. #1771C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. C4×#103C22semidirect
202. #1749C22semidirect
565. C2×SD16#41semidirect
1105. C4⋊C4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
#593752
#590972
#322242
#313452
#313072
#312402
#310202
#310112
#309852
#308742
#290682
#281192
#275422
#274242
#272432
#272112
#269072
#268342
#266842
#265492
#258872
#251682
#246262
#243662
#241522
#238692
#235732
#231052
#224422
#223592
#220512