Finite Group Databasebeta

← #7308415

Subgroups — #7308415

Order 512.

1859 conjugacy classes of subgroups.

The subgroup lattice has 1473 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59061C211yesmaximal, characteristic, complemented
2#39401C211yesmaximal, characteristic, complemented
3#32189C211yesmaximal, characteristic, complemented
4#32122C211yesmaximal, characteristic, complemented
5#31816C211yesmaximal, characteristic, complemented
6#31654C211yesmaximal, characteristic, complemented
7#31516C211yesmaximal, characteristic, complemented
8#31402C211yesmaximal, characteristic, complemented
9#31209C211yesmaximal, characteristic, complemented
10#31040C211yesmaximal, characteristic, complemented
11#30528C211yesmaximal, characteristic, complemented
12#30522C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#30453C211yesmaximal, characteristic, complemented
15#29713C211yesmaximal, characteristic, complemented
16#29662C211yesmaximal, characteristic, complemented
17#28118C211yesmaximal, characteristic, complemented
18#27531C211yesmaximal, characteristic, complemented
19#27227C211yesmaximal, characteristic, complemented
20#26926C211yesmaximal, characteristic, complemented
21#26913C211yesmaximal, characteristic, complemented
22#26720C211yesmaximal, characteristic, complemented
23#26605C211yesmaximal, characteristic, complemented
24#25367C211yesmaximal, characteristic, complemented
25#25320C211yesmaximal, characteristic, complemented
26#24372C211yesmaximal, characteristic, complemented
27#24367C211yesmaximal, characteristic, complemented
28#24256C211yesmaximal, characteristic, complemented
29#24159C211yesmaximal, characteristic, complemented
30#23866C211yesmaximal, characteristic, complemented
31#23316C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#538—21no—
35C2×#529C2211yescharacteristic, complemented
36C2×#492C2211yescharacteristic
37C2×#487C2211yescharacteristic, complemented
38C2×#480C2211yescharacteristic
39C2×#478C2211yescharacteristic
40C2×#460C2211yescharacteristic
41C2×#463C2211yescharacteristic
42C2×#463C2211yescharacteristic, complemented
43C2×#461C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#459C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#448C2211yescharacteristic
48C2×#448C2211yescharacteristic
49C2×#448C2211yescharacteristic, complemented
50C2×#450C2211yescharacteristic
51C2×#450C2211yescharacteristic
52C2×#440C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2715—21no—
55#2698—21no—
56#2696—21no—
57#2685—21no—
58#2676—21no—
59#2668—21no—
60#2635—21no—
61#2547C2211yescharacteristic, complemented
62#2542C2211yescharacteristic
63#2537C2211yescharacteristic
64#2512C2211yescharacteristic
65#2496C2211yescharacteristic
66#2491C2211yescharacteristic
67#2491C2211yescharacteristic
68#2489C2211yescharacteristic
69#2474—21no—
70#2472—21no—
71#2467—21no—
72#2453C2211yescharacteristic, complemented
73#2447C2211yescharacteristic, complemented
74#2445C2211yescharacteristic
75#2444—21no—
76#2438—21no—
77#2434C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2432C2211yescharacteristic
80#2429C2211yescharacteristic
81#2428C2211yescharacteristic
82#2425—21no—
83#2419—21no—
84#2417C2211yescharacteristic
85#2408C2211yescharacteristic
86#2366C2211yescharacteristic
87#2365C2211yescharacteristic, complemented
88#2361C2211yescharacteristic, complemented
89#2349—21no—
90#2339C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic
92C4×#123C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C2×#391C2211yescharacteristic, complemented
95#2100C2211yescharacteristic, complemented
96#2086C2211yescharacteristic, complemented
97#2077C2211yescharacteristic
98#2076C2211yescharacteristic
99#2072C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2072C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2067C2211yescharacteristic
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2054C2211yescharacteristic
115#2043C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2036C2211yescharacteristic
118#2036C2211yescharacteristic
119#2035C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2025C2211yescharacteristic
122#2025C2211yescharacteristic, complemented
123#2024C2211yescharacteristic, complemented
124#2023C2211yescharacteristic, complemented
125#2014C2211yescharacteristic
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2013C2211yescharacteristic
129#2013C2211yescharacteristic
130#2013C2211yescharacteristic, complemented
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1988C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1981C2211yescharacteristic, complemented
147#1973C2211yescharacteristic
148#1970C2211yescharacteristic, complemented
149#1968C2211yescharacteristic
150#1959C2211yescharacteristic, complemented
151#1955C2211yescharacteristic
152#1939C2211yescharacteristic, complemented
153#1939C2211yescharacteristic, complemented
154#1936C2211yescharacteristic
155#1934C2211yescharacteristic
156#1933C2211yescharacteristic, complemented
157#1928C2211yescharacteristic, complemented
158#1928C2211yescharacteristic, complemented
159#1927C2211yescharacteristic, complemented
160#1925C2211yescharacteristic
161#1925C2211yescharacteristic, complemented
162#1923C2211yescharacteristic
163#1923C2211yescharacteristic
164#1923C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1917C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1895C2211yescharacteristic
170#1894C2211yescharacteristic
171#1894C2211yescharacteristic
172#1880C2211yescharacteristic
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic, complemented
182#1874C2211yescharacteristic
183#1874C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic
190#1851C2211yescharacteristic
191#1823C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201C4×#102C2211yescharacteristic
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222#548—42no—
223#548—42no—
224#538—48no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×C4⋊Q8C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230#529—42no—
231#529—42no—
232C2×#126—21no—
233C2×#126—21no—
234C2×#126—21no—
235C2×#125C2311yescharacteristic
236C2×#124—21no—
237C2×#124—21no—
238C2×#124—21no—
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#123—21no—
242C2×#123—21no—
243C2×#123D411yescharacteristic
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117—21no—
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C42C2311yescharacteristic
280#492—42no—
281#487—42no—
282#480—42no—
283#478—42no—
284#463—42no—
285#463—42no—
286#461—42no—
287#460—42no—
288#459—42no—
289#459—42no—
290#450—42no—
291#450—42no—
292#449—42no—
293#448—42no—
294#448—42no—
295#448—42no—
296#440—42no—
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#400—21no—
351#400—21no—
352#400—21no—
353#399—21no—
354#399—21no—
355#398—21no—
356#398—21no—
357#398—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#395—21no—
369#395—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#394—21no—
380#393—21no—
381#393—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#391—21no—
387#391—21no—
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#390—21no—
396#390—21no—
397#390—21no—
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#389—21no—
408#389—21no—
409#389—21no—
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388D411yescharacteristic
422#388D411yescharacteristic
423#387—21no—
424#387—21no—
425#387—21no—
426#387—21no—
427#387D411yescharacteristic
428#387D411yescharacteristic
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#386D411yescharacteristic
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385D411yescharacteristic
448#384C2311yescharacteristic
449#384C2311yescharacteristic
450#382—21no—
451#381—21no—
452#381—21no—
453#381D411yescharacteristic
454#380—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464C4×C4⋊C4—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C2×#95—21no—
475C2×#95—21no—
476C2×#95—21no—
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#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
503C25—21no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8—22no—
513C22×Q8—41no—
514C22×Q8—41no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8C2411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—21no—
522C22×D4—22no—
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—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4C2×D411yescharacteristic
552C23×C4C2×D411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555AGL(1,ℤ/8)—416no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C4⋊Q8—22no—
604C4⋊Q8—41no—
605C4⋊Q8—41no—
606C4⋊Q8—41no—
607C4⋊Q8—41no—
608C4⋊Q8—41no—
609#127—22no—
610#127—41no—
611#127—41no—
612#127—41no—
613#126—44no—
614#126—44no—
615#126—44no—
616#125—22no—
617#125—41no—
618#124—22no—
619#124—22no—
620#124—41no—
621#124—41no—
622#124—44no—
623#124—44no—
624#124—44no—
625#123—24no—
626#123—44no—
627#123—44no—
628C22⋊Q8—22no—
629C22⋊Q8—44no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—44no—
634C22⋊Q8—41no—
635C22⋊Q8—41no—
636C22⋊Q8—82no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—41no—
641#121—44no—
642#121—44no—
643#121—44no—
644#121—44no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—82no—
652#120—44no—
653#120—44no—
654#120—82no—
655C4×Q8—22no—
656C4×Q8—22no—
657C4×Q8—41no—
658C4×Q8—41no—
659C4×D4—22no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—44no—
672C4×D4—44no—
673C4×D4—44no—
674C4×D4—44no—
675C4×D4—44no—
676#117—44no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
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—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
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×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—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—44no—
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—41no—
768C2×C42—41no—
769C2×C42C2×D411yescharacteristic
770C2×C42C2×D411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776#107—22no—
777#107—41no—
778#107—41no—
779#106—41no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782C4⋊C8—41no—
783C4⋊C8—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#103—22no—
788#103—22no—
789#103—22no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
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—22no—
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—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826#97—41no—
827C4×C8—41no—
828C4×C8—41no—
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#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
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—82no—
879#41—82no—
880#41—82no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—42no—
899C2×Q8—42no—
900C2×Q8—42no—
901C2×Q8—81no—
902C2×Q8—81no—
903C2×Q8—81no—
904C2×Q8—82no—
905C2×Q8—82no—
906C2×Q8—82no—
907C2×Q8—82no—
908C2×Q8H(5,𝔽2)12yes—
909C2×D4—24no—
910C2×D4—22no—
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—41no—
934C2×D4—41no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—44no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
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—82no—
961C2×D4—82no—
962C2×D4—82no—
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×D4H(5,𝔽2)12yes—
972C2×D4H(5,𝔽2)12yes—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—22no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—22no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
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—42no—
1012C22×C4—42no—
1013C22×C4—42no—
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×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
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×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C2511yescharacteristic
1040SD16—44no—
1041SD16—44no—
1042SD16—44no—
1043SD16—82no—
1044SD16—82no—
1045SD16—82no—
1046SD16—82no—
1047SD16—82no—
1048SD16—82no—
1049D8—44no—
1050D8—44no—
1051D8—82no—
1052M16—44no—
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×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
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—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4H(5,𝔽2)12yes—
1121C22⋊C4—24no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
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—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
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—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4AGL(1,ℤ/8)14yescomplemented
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—41no—
1179C42—41no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—42no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—22no—
1194C23—21no—
1195C23—22no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
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—162no—
1229C23—162no—
1230C23—162no—
1231C23—162no—
1232C23—162no—
1233C23C2×AGL(1,ℤ/8)12yes—
1234C23C23×D411yescharacteristic
1235Q8—22no—
1236Q8—22no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—84no—
1248Q8—162no—
1249D4—22no—
1250D4—22no—
1251D4—22no—
1252D4—22no—
1253D4—48no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—84no—
1267D4—82no—
1268D4—84no—
1269D4—84no—
1270D4—84no—
1271D4—162no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
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—21no—
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—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—82no—
1355C2×C4—84no—
1356C2×C4—82no—
1357C2×C4—84no—
1358C2×C4—84no—
1359C2×C4—162no—
1360C2×C4—162no—
1361C2×C4—162no—
1362C2×C4—162no—
1363C2×C4—162no—
1364C2×C4C2×AGL(1,ℤ/8)12yes—
1365C2×C4C2×AGL(1,ℤ/8)12yes—
1366C2×C4#57712yes—
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4C2×H(5,𝔽2)11yescharacteristic
1369C2×C4C2×H(5,𝔽2)11yescharacteristic
1370C2×C4C2×H(5,𝔽2)11yescharacteristic
1371C2×C4#58511yescharacteristic
1372C2×C4#58511yescharacteristic
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—42no—
1390C22—41no—
1391C22—41no—
1392C22—42no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—42no—
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—168no—
1424C22#348411yescharacteristic
1425C22#348811yescharacteristic
1426C22#348811yescharacteristic
1427C22C22×AGL(1,ℤ/8)11yescharacteristic
1428C22C2×#57711yescharacteristic
1429C22#358411yescharacteristic
1430C22#358611yescharacteristic
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—42no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—42no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4#353211yescharacteristic
1456C4#354211yescharacteristic
1457C4#355811yescharacteristic
1458C4#356011yescharacteristic
1459C2—42no—
1460C2—81no—
1461C2—82no—
1462C2—82no—
1463C2—161no—
1464C2—161no—
1465C2#4784411yescharacteristic
1466C2#6158511yescharacteristic
1467C2#6164111yescharacteristic
1468C2#6198311yescharacteristic
1469C2#6198911yescharacteristic
1470C2#6202911yescharacteristic
1471C2#6203211yescharacteristic
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. #59061C2semidirect
2. #39401C2semidirect
3. #32189C2semidirect
4. #32122C2semidirect
5. #31816C2semidirect
6. #31654C2semidirect
7. #31516C2semidirect
8. #31402C2semidirect
9. #31209C2semidirect
10. #31040C2semidirect
11. #30528C2semidirect
12. #30522C2semidirect
13. #30456C2semidirect
14. #30453C2semidirect
15. #29713C2semidirect
16. #29662C2semidirect
17. #28118C2semidirect
18. #27531C2semidirect
19. #27227C2semidirect
20. #26926C2semidirect
21. #26913C2semidirect
22. #26720C2semidirect
23. #26605C2semidirect
24. #25367C2semidirect
25. #25320C2semidirect
26. #24372C2semidirect
27. #24367C2semidirect
28. #24256C2semidirect
29. #24159C2semidirect
30. #23866C2semidirect
31. #23316C2semidirect
35. C2×#529C22semidirect
37. C2×#487C22semidirect
42. C2×#463C22semidirect
49. C2×#448C22semidirect
52. C2×#440C22semidirect
61. #2547C22semidirect
72. #2453C22semidirect
73. #2447C22semidirect
77. #2434C22semidirect
87. #2365C22semidirect
88. #2361C22semidirect
94. C2×#391C22semidirect
95. #2100C22semidirect
96. #2086C22semidirect
99. #2072C22semidirect
100. #2072C22semidirect
101. #2072C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2055C22semidirect
115. #2043C22semidirect
119. #2035C22semidirect
120. #2033C22semidirect
122. #2025C22semidirect
123. #2024C22semidirect
124. #2023C22semidirect
130. #2013C22semidirect
134. #2012C22semidirect
139. #2000C22semidirect
142. #1999C22semidirect
143. #1989C22semidirect
144. #1988C22semidirect
145. #1983C22semidirect
146. #1981C22semidirect
148. #1970C22semidirect
150. #1959C22semidirect
152. #1939C22semidirect
153. #1939C22semidirect
156. #1933C22semidirect
157. #1928C22semidirect
158. #1928C22semidirect
159. #1927C22semidirect
161. #1925C22semidirect
164. #1923C22semidirect
165. #1923C22semidirect
166. #1918C22semidirect
167. #1917C22semidirect
168. #1917C22semidirect
181. #1877C22semidirect
183. #1874C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
191. #1823C22semidirect
192. #1803C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1797C22semidirect
199. #1787C22semidirect
202. C4×#102C22semidirect
1167. C22⋊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
#590612
#394012
#321892
#321222
#318162
#316542
#315162
#314022
#312092
#310402
#305282
#305222
#304562
#304532
#297132
#296622
#281182
#275312
#272272
#269262
#269132
#267202
#266052
#253672
#253202
#243722
#243672
#242562
#241592
#238662
#233162