Finite Group Databasebeta

← #6999815

Subgroups — #6999815

Order 512.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59093C211yesmaximal, characteristic, complemented
2#40053C211yesmaximal, characteristic, complemented
3#31525C211yesmaximal, characteristic, complemented
4#31293C211yesmaximal, characteristic, complemented
5#31016C211yesmaximal, characteristic, complemented
6#30735C211yesmaximal, characteristic, complemented
7#30581C211yesmaximal, characteristic, complemented
8#30527C211yesmaximal, characteristic, complemented
9#30526C211yesmaximal, characteristic, complemented
10#30461C211yesmaximal, characteristic, complemented
11#28924C211yesmaximal, characteristic, complemented
12#28897C211yesmaximal, characteristic, complemented
13#28405C211yesmaximal, characteristic, complemented
14#28314C211yesmaximal, characteristic, complemented
15#28088C211yesmaximal, characteristic, complemented
16#27253C211yesmaximal, characteristic, complemented
17#27089C211yesmaximal, characteristic, complemented
18#26816C211yesmaximal, characteristic, complemented
19#26802C211yesmaximal, characteristic, complemented
20#26616C211yesmaximal, characteristic, complemented
21#26600C211yesmaximal, characteristic, complemented
22#25794C211yesmaximal, characteristic, complemented
23#25599C211yesmaximal, characteristic, complemented
24#25172C211yesmaximal, characteristic, complemented
25#24244C211yesmaximal, characteristic, complemented
26#23866C211yesmaximal, characteristic, complemented
27#23573C211yesmaximal, characteristic, complemented
28#23298C211yesmaximal, characteristic, complemented
29#23193C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22041C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#532C2211yescharacteristic, complemented
35C2×#496C2211yescharacteristic
36C2×#493C2211yescharacteristic
37C2×#488C2211yescharacteristic, complemented
38C2×#486C2211yescharacteristic
39C2×#480C2211yescharacteristic
40C2×#480C2211yescharacteristic, complemented
41C2×#478C2211yescharacteristic, complemented
42C2×#469C2211yescharacteristic
43C2×#463C2211yescharacteristic
44C2×#463C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic
48C2×#448C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#442C2211yescharacteristic
52C2×#442C2211yescharacteristic
53C2×C4×SD16C2211yescharacteristic, complemented
54C2×C4×D8C2211yescharacteristic
55#2856C2211yescharacteristic
56#2797—21no—
57#2712—21no—
58#2700—21no—
59#2697—21no—
60#2688—21no—
61#2678—21no—
62#2648—21no—
63#2566C2211yescharacteristic
64#2544C2211yescharacteristic, complemented
65#2543—21no—
66#2535C2211yescharacteristic
67#2513C2211yescharacteristic
68#2497C2211yescharacteristic
69#2492C2211yescharacteristic
70#2490C2211yescharacteristic
71#2490C2211yescharacteristic
72#2459—21no—
73#2456—21no—
74#2451C2211yescharacteristic, complemented
75#2450—21no—
76#2447C2211yescharacteristic, complemented
77#2445C2211yescharacteristic
78#2444—21no—
79#2436C2211yescharacteristic, complemented
80#2433C2211yescharacteristic
81#2431C2211yescharacteristic
82#2430—21no—
83#2428C2211yescharacteristic
84#2427C2211yescharacteristic
85#2424—21no—
86#2416C2211yescharacteristic
87#2408C2211yescharacteristic
88#2367C2211yescharacteristic, complemented
89#2366C2211yescharacteristic
90#2361C2211yescharacteristic, complemented
91#2339—21no—
92#2339C2211yescharacteristic
93D4×C22⋊C4C2211yescharacteristic
94#2321—21no—
95C4×#123C2211yescharacteristic
96C4×#121C2211yescharacteristic
97C2×#391C2211yescharacteristic, complemented
98#2095C2211yescharacteristic, complemented
99#2095C2211yescharacteristic, complemented
100#2092C2211yescharacteristic, complemented
101#2085C2211yescharacteristic, complemented
102#2075C2211yescharacteristic
103#2067C2211yescharacteristic
104#2067C2211yescharacteristic, complemented
105#2065C2211yescharacteristic
106#2059C2211yescharacteristic, complemented
107#2058C2211yescharacteristic, complemented
108#2055C2211yescharacteristic
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2035C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2026C2211yescharacteristic, complemented
120#2023C2211yescharacteristic
121#2014C2211yescharacteristic
122#2014C2211yescharacteristic
123#2014C2211yescharacteristic
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic, complemented
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2000C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic, complemented
137#1999C2211yescharacteristic, complemented
138#1990C2211yescharacteristic, complemented
139#1983C2211yescharacteristic, complemented
140#1982C2211yescharacteristic
141#1973C2211yescharacteristic
142#1973C2211yescharacteristic
143#1973C2211yescharacteristic, complemented
144#1973C2211yescharacteristic, complemented
145#1972C2211yescharacteristic
146#1970C2211yescharacteristic
147#1968C2211yescharacteristic
148#1968C2211yescharacteristic
149#1968C2211yescharacteristic
150#1958C2211yescharacteristic, complemented
151#1957C2211yescharacteristic, complemented
152#1954C2211yescharacteristic
153#1935C2211yescharacteristic, complemented
154#1934C2211yescharacteristic
155#1934C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1933C2211yescharacteristic, complemented
158#1927C2211yescharacteristic, complemented
159#1927C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1926C2211yescharacteristic
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic
164#1924C2211yescharacteristic, complemented
165#1923C2211yescharacteristic
166#1923C2211yescharacteristic, complemented
167#1918C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1916C2211yescharacteristic, complemented
170#1894C2211yescharacteristic
171#1880C2211yescharacteristic
172#1880C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic
182#1877C2211yescharacteristic
183#1874C2211yescharacteristic
184#1870C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1853C2211yescharacteristic, complemented
188#1809C2211yescharacteristic
189#1805C2211yescharacteristic, complemented
190#1788C2211yescharacteristic
191#1788C2211yescharacteristic
192#1787C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1776C2211yescharacteristic, complemented
195#1771C2211yescharacteristic, complemented
196C8×C4⋊C4C2211yescharacteristic, complemented
197#1762C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200#1753C2211yescharacteristic
201#1749C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223#548—42no—
224#548—42no—
225#532—42no—
226#532—42no—
227C2×C4⋊Q8C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#125C2311yescharacteristic
232C2×#124—21no—
233C2×#124—21no—
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#123—21no—
238C2×#123D411yescharacteristic
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8C2311yescharacteristic
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#120—21no—
255C2×#120—21no—
256C2×#120—21no—
257C2×C4×Q8C2311yescharacteristic
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C42C2311yescharacteristic
273#496—24no—
274#493—42no—
275#488—42no—
276#486—42no—
277#480—42no—
278#480—42no—
279#478—42no—
280#469—42no—
281#463—42no—
282#463—42no—
283#450—42no—
284#449—42no—
285#448—24no—
286#448—42no—
287#448—42no—
288#447—42no—
289#442—42no—
290#442—42no—
291C4×SD16—42no—
292C4×D8—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#400—21no—
351#400—21no—
352#398—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#395—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#393—21no—
377#393—21no—
378#393—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#391—21no—
387#391—21no—
388#391—21no—
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388D411yescharacteristic
426#388D411yescharacteristic
427#387—21no—
428#387—21no—
429#387D411yescharacteristic
430#387D411yescharacteristic
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386D411yescharacteristic
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385D411yescharacteristic
458#384C2311yescharacteristic
459#382C2311yescharacteristic
460#381—21no—
461#381—21no—
462#381D411yescharacteristic
463#380—21no—
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379—21no—
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C2×#95—21no—
481C2×#95—21no—
482C2×#95—21no—
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#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—44no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—44no—
514C2×#41—82no—
515C22×Q8—21no—
516C22×Q8—21no—
517C22×Q8—22no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×D4—21no—
526C22×D4—22no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4C2×D411yescharacteristic
562C23×C4C2×D411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565AGL(1,ℤ/8)—416no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
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×SD16#4114yescomplemented
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×M16—22no—
603C2×M16—22no—
604C2×M16—41no—
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C4⋊Q8—22no—
614C4⋊Q8—41no—
615#127—22no—
616#127—22no—
617#127—41no—
618#127—41no—
619#127—41no—
620#127—41no—
621#125—41no—
622#125—41no—
623#124—22no—
624#124—22no—
625#124—41no—
626#124—41no—
627#124—41no—
628#124—41no—
629#124—44no—
630#124—44no—
631#123—42no—
632#123—82no—
633C22⋊Q8—22no—
634C22⋊Q8—44no—
635C22⋊Q8—41no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—44no—
643#121—44no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—82no—
653#121—82no—
654#121—82no—
655#121—82no—
656#120—44no—
657#120—82no—
658#120—82no—
659C4×Q8—22no—
660C4×Q8—41no—
661C4×D4—22no—
662C4×D4—22no—
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—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—44no—
676C4×D4—44no—
677C4×D4—82no—
678C4×D4—82no—
679C4×D4—82no—
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—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
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—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—82no—
753C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—41no—
766C2×C42—41no—
767C2×C42C2×D411yescharacteristic
768C2×C42C2×D411yescharacteristic
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774#107—22no—
775#107—22no—
776#107—41no—
777#107—41no—
778#106—22no—
779#106—41no—
780#106—41no—
781#106—41no—
782C4⋊C8—22no—
783C4⋊C8—41no—
784C4⋊C8—41no—
785#103—22no—
786#103—22no—
787#103—22no—
788#103—22no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824#97—22no—
825#97—41no—
826#97—41no—
827C4×C8—22no—
828C4×C8—41no—
829C4×C8—41no—
830C4×C8—41no—
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#95—21no—
855#95—21no—
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—42no—
872C24—42no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24C22×D411yescharacteristic
879C24C22×D411yescharacteristic
880#41—44no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—816no—
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—42no—
897C2×Q8—42no—
898C2×Q8—42no—
899C2×Q8—42no—
900C2×Q8—81no—
901C2×Q8—81no—
902C2×Q8—82no—
903C2×Q8—82no—
904C2×Q8—82no—
905C2×Q8—82no—
906C2×Q8C2×#4112yes—
907C2×D4—24no—
908C2×D4—22no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—44no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4C2×#4112yes—
988C2×D4H(5,𝔽2)12yes—
989C22×C4—22no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—22no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—22no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C2511yescharacteristic
1058SD16—44no—
1059SD16—44no—
1060SD16—44no—
1061SD16—82no—
1062SD16—82no—
1063SD16—82no—
1064D8—28no—
1065D8—44no—
1066D8—44no—
1067D8—82no—
1068D8—82no—
1069D8—82no—
1070M16—44no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8C2×#4112yes—
1093C2×C8H(5,𝔽2)12yes—
1094C2×C8H(5,𝔽2)12yes—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4H(5,𝔽2)12yes—
1130C22⋊C4—24no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
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—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
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⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—41no—
1193C42—41no—
1194C42—42no—
1195C42—81no—
1196C42—81no—
1197C42—81no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—22no—
1206C23—21no—
1207C23—22no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
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—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—84no—
1247C23—84no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23—162no—
1252C23—162no—
1253C23#57612yes—
1254C23C23×D411yescharacteristic
1255Q8—22no—
1256Q8—22no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—84no—
1264Q8—84no—
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—22no—
1269D4—48no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—84no—
1287D4—84no—
1288D4—82no—
1289D4—84no—
1290D4—84no—
1291D4—84no—
1292D4—84no—
1293D4—84no—
1294D4—162no—
1295D4—162no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—22no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—44no—
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—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—82no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4—84no—
1381C2×C4—84no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4#57512yes—
1388C2×C4#57712yes—
1389C2×C4C22×#4111yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4#58511yescharacteristic
1395C8—22no—
1396C8—22no—
1397C8—22no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—41no—
1415C22—42no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—168no—
1453C22D4×#4111yescharacteristic
1454C22#348411yescharacteristic
1455C22#349811yescharacteristic
1456C22C2×#57511yescharacteristic
1457C22C2×#57611yescharacteristic
1458C22C2×#57711yescharacteristic
1459C22#358511yescharacteristic
1460C4—22no—
1461C4—22no—
1462C4—41no—
1463C4—41no—
1464C4—42no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—42no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4#349011yescharacteristic
1484C4#351911yescharacteristic
1485C4#354611yescharacteristic
1486C4#355811yescharacteristic
1487C2—42no—
1488C2—81no—
1489C2—82no—
1490C2—82no—
1491C2—161no—
1492C2—161no—
1493C2—161no—
1494C2#4301011yescharacteristic
1495C2#6146811yescharacteristic
1496C2#6149811yescharacteristic
1497C2#6159211yescharacteristic
1498C2#6162111yescharacteristic
1499C2#6242711yescharacteristic
1500C2#6245911yescharacteristic
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. #59093C2semidirect
2. #40053C2semidirect
3. #31525C2semidirect
4. #31293C2semidirect
5. #31016C2semidirect
6. #30735C2semidirect
7. #30581C2semidirect
8. #30527C2semidirect
9. #30526C2semidirect
10. #30461C2semidirect
11. #28924C2semidirect
12. #28897C2semidirect
13. #28405C2semidirect
14. #28314C2semidirect
15. #28088C2semidirect
16. #27253C2semidirect
17. #27089C2semidirect
18. #26816C2semidirect
19. #26802C2semidirect
20. #26616C2semidirect
21. #26600C2semidirect
22. #25794C2semidirect
23. #25599C2semidirect
24. #25172C2semidirect
25. #24244C2semidirect
26. #23866C2semidirect
27. #23573C2semidirect
28. #23298C2semidirect
29. #23193C2semidirect
30. #22442C2semidirect
31. #22041C2semidirect
34. C2×#532C22semidirect
37. C2×#488C22semidirect
40. C2×#480C22semidirect
41. C2×#478C22semidirect
44. C2×#463C22semidirect
48. C2×#448C22semidirect
53. C2×C4×SD16C22semidirect
64. #2544C22semidirect
74. #2451C22semidirect
76. #2447C22semidirect
79. #2436C22semidirect
88. #2367C22semidirect
90. #2361C22semidirect
97. C2×#391C22semidirect
98. #2095C22semidirect
99. #2095C22semidirect
100. #2092C22semidirect
101. #2085C22semidirect
104. #2067C22semidirect
106. #2059C22semidirect
107. #2058C22semidirect
109. #2055C22semidirect
111. #2042C22semidirect
112. #2041C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
119. #2026C22semidirect
128. #2012C22semidirect
136. #1999C22semidirect
137. #1999C22semidirect
138. #1990C22semidirect
139. #1983C22semidirect
143. #1973C22semidirect
144. #1973C22semidirect
150. #1958C22semidirect
151. #1957C22semidirect
153. #1935C22semidirect
155. #1934C22semidirect
156. #1933C22semidirect
157. #1933C22semidirect
158. #1927C22semidirect
159. #1927C22semidirect
160. #1927C22semidirect
162. #1925C22semidirect
164. #1924C22semidirect
166. #1923C22semidirect
167. #1918C22semidirect
168. #1917C22semidirect
169. #1916C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
185. #1864C22semidirect
187. #1853C22semidirect
189. #1805C22semidirect
192. #1787C22semidirect
194. #1776C22semidirect
195. #1771C22semidirect
196. C8×C4⋊C4C22semidirect
197. #1762C22semidirect
198. #1762C22semidirect
201. #1749C22semidirect
202. C4×C22⋊C8C22semidirect
583. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#590932
#400532
#315252
#312932
#310162
#307352
#305812
#305272
#305262
#304612
#289242
#288972
#284052
#283142
#280882
#272532
#270892
#268162
#268022
#266162
#266002
#257942
#255992
#251722
#242442
#238662
#235732
#232982
#231932
#224422
#220412