Finite Group Databasebeta

← #7492846

Subgroups — #7492846

Order 512.

1900 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53098C211yesmaximal, characteristic, complemented
2#45422C211yesmaximal, characteristic, complemented
3#32000C211yesmaximal, characteristic, complemented
4#31994C211yesmaximal, characteristic, complemented
5#31684C211yesmaximal, characteristic, complemented
6#31395C211yesmaximal, characteristic, complemented
7#31393C211yesmaximal, characteristic, complemented
8#31066C211yesmaximal, characteristic, complemented
9#31043C211yesmaximal, characteristic, complemented
10#31040C211yesmaximal, characteristic, complemented
11#30563C211yesmaximal, characteristic, complemented
12#30557C211yesmaximal, characteristic, complemented
13#30409C211yesmaximal, characteristic, complemented
14#30402C211yesmaximal, characteristic, complemented
15#30143C211yesmaximal, characteristic, complemented
16#30142C211yesmaximal, characteristic, complemented
17#29511C211yesmaximal, characteristic, complemented
18#29507C211yesmaximal, characteristic, complemented
19#28096C211yesmaximal, characteristic, complemented
20#25110C211yesmaximal, characteristic, complemented
21#25108C211yesmaximal, characteristic, complemented
22#24439C211yesmaximal, characteristic, complemented
23#24433C211yesmaximal, characteristic, complemented
24#24428C211yesmaximal, characteristic, complemented
25#24426C211yesmaximal, characteristic, complemented
26#24266C211yesmaximal, characteristic, complemented
27#24039C211yesmaximal, characteristic, complemented
28#24035C211yesmaximal, characteristic, complemented
29#23854C211yesmaximal, characteristic, complemented
30#23850C211yesmaximal, characteristic, complemented
31#22261C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#484C2211yescharacteristic
38C2×#480C2211yescharacteristic
39C2×#467C2211yescharacteristic
40C2×#467C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#452C2211yescharacteristic
44C2×#452C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#451C2211yescharacteristic, complemented
48C2×#448C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×C8×D4C2211yescharacteristic
52C2×C8×D4C2211yescharacteristic, complemented
53C2×#416C2211yescharacteristic
54C22×#103C2211yescharacteristic, complemented
55C22×#102C2211yescharacteristic
56#2837—21no—
57#2827—21no—
58#2825—21no—
59#2813—21no—
60#2780—21no—
61#2746—21no—
62#2703—21no—
63#2688—21no—
64#2675—21no—
65#2672—21no—
66#2672—21no—
67#2670—21no—
68#2645C2211yescharacteristic, complemented
69#2644C2211yescharacteristic, complemented
70#2538C2211yescharacteristic
71#2538C2211yescharacteristic
72#2537C2211yescharacteristic
73#2537C2211yescharacteristic
74#2487C2211yescharacteristic
75#2486C2211yescharacteristic, complemented
76#2485C2211yescharacteristic, complemented
77#2455—21no—
78#2437—21no—
79#2424—21no—
80#2424—21no—
81#2417C2211yescharacteristic
82#2417C2211yescharacteristic
83#2416C2211yescharacteristic
84#2416C2211yescharacteristic, complemented
85#2415C2211yescharacteristic, complemented
86#2414C2211yescharacteristic
87#2409C2211yescharacteristic
88#2408C2211yescharacteristic
89#2407C2211yescharacteristic
90#2407C2211yescharacteristic
91#2407C2211yescharacteristic
92#2407C2211yescharacteristic, complemented
93#2407C2211yescharacteristic, complemented
94#2397C2211yescharacteristic
95#2326C2211yescharacteristic
96#2326C2211yescharacteristic
97#2100C2211yescharacteristic, complemented
98#2099C2211yescharacteristic, complemented
99#2095C2211yescharacteristic, complemented
100#2093C2211yescharacteristic, complemented
101#2083C2211yescharacteristic, complemented
102#2083C2211yescharacteristic, complemented
103#2076C2211yescharacteristic
104#2076C2211yescharacteristic, complemented
105#2075C2211yescharacteristic, complemented
106#2075C2211yescharacteristic, complemented
107#2072C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2068C2211yescharacteristic, complemented
110#2068C2211yescharacteristic, complemented
111#2067C2211yescharacteristic
112#2067C2211yescharacteristic
113#2056C2211yescharacteristic, complemented
114#2055C2211yescharacteristic
115#2055C2211yescharacteristic, complemented
116#2054C2211yescharacteristic
117#2042C2211yescharacteristic
118#2042C2211yescharacteristic
119#2042C2211yescharacteristic
120#2042C2211yescharacteristic
121#2036C2211yescharacteristic
122#2036C2211yescharacteristic
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2015C2211yescharacteristic
134#2015C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2001C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1973C2211yescharacteristic
146#1973C2211yescharacteristic, complemented
147#1970C2211yescharacteristic
148#1969C2211yescharacteristic, complemented
149#1955C2211yescharacteristic
150#1955C2211yescharacteristic, complemented
151#1936C2211yescharacteristic
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic
154#1933C2211yescharacteristic, complemented
155#1893C2211yescharacteristic
156#1893C2211yescharacteristic
157#1893C2211yescharacteristic
158#1892C2211yescharacteristic
159#1892C2211yescharacteristic, complemented
160#1892C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1878C2211yescharacteristic, complemented
166#1878C2211yescharacteristic, complemented
167#1877C2211yescharacteristic
168#1877C2211yescharacteristic
169#1875C2211yescharacteristic
170#1874C2211yescharacteristic
171#1873C2211yescharacteristic, complemented
172#1872C2211yescharacteristic
173#1869C2211yescharacteristic
174#1869C2211yescharacteristic
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic
177#1869C2211yescharacteristic, complemented
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic
187#1862C2211yescharacteristic
188#1862C2211yescharacteristic
189#1852C2211yescharacteristic
190#1852C2211yescharacteristic, complemented
191#1832C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1808C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1746C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#135—42no—
209C2×#135—42no—
210C2×#135—42no—
211C22×Q16C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#548—42no—
224#548—42no—
225#548—42no—
226#548—42no—
227#546—42no—
228#546—42no—
229#546—42no—
230#546—42no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
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×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282#484—42no—
283#480—42no—
284#467—42no—
285#467—42no—
286#466—42no—
287#466—42no—
288#452—42no—
289#452—42no—
290#451—42no—
291#450—42no—
292#449—42no—
293#449—42no—
294#448—42no—
295#447—42no—
296C8×D4—42no—
297C8×D4—42no—
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308#416—42no—
309C2×#103—42no—
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×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#102—42no—
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357#401—21no—
358#400—21no—
359#400—21no—
360#400—21no—
361#400—21no—
362#399—21no—
363#399D411yescharacteristic
364#399D411yescharacteristic
365#399D411yescharacteristic
366#399D411yescharacteristic
367#398—21no—
368#398—21no—
369#398—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#396—21no—
385#395—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#393—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392D411yescharacteristic
410#392D411yescharacteristic
411#392D411yescharacteristic
412#392D411yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#390—21no—
419#390—21no—
420#390—21no—
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#389—21no—
427#389—21no—
428#389—21no—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#387—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#384C2311yescharacteristic
466#384C2311yescharacteristic
467#381—21no—
468#380—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#379—21no—
483#376C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8—21no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575#135—416no—
576C2×Q16—22no—
577C2×Q16—22no—
578C2×Q16—22no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C22×C8—22no—
601C22×C8—22no—
602C22×C8—41no—
603C22×C8—41no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#124—22no—
621#124—22no—
622#124—22no—
623#124—22no—
624#124—44no—
625#124—44no—
626#123—44no—
627#123—44no—
628#123—82no—
629C22⋊Q8—22no—
630C22⋊Q8—22no—
631C22⋊Q8—22no—
632C22⋊Q8—22no—
633C22⋊Q8—44no—
634C22⋊Q8—44no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—44no—
650#121—44no—
651#121—44no—
652#121—44no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—82no—
664#121—82no—
665#121—82no—
666#121—82no—
667#120—44no—
668#120—44no—
669#120—82no—
670C4×Q8—41no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—44no—
691C4×D4—44no—
692#117—41no—
693#117—41no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4—44no—
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—41no—
797#107—41no—
798#107—41no—
799#107—41no—
800#107—41no—
801#107—41no—
802#107—41no—
803#107—41no—
804C4⋊C8—41no—
805C4⋊C8—41no—
806#103—22no—
807#103—22no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838C22⋊C8—22no—
839C22⋊C8—22no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850#97—41no—
851C4×C8—22no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882C24—21no—
883C24—21no—
884C24—21no—
885C24—42no—
886C24—42no—
887C24—42no—
888C24—81no—
889C24—81no—
890C24—81no—
891C24—81no—
892C24C22×D411yescharacteristic
893C24C22×D411yescharacteristic
894C24C22×D411yescharacteristic
895C24C22×D411yescharacteristic
896#41—44no—
897#41—44no—
898#41—44no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—42no—
925C2×Q8—42no—
926C2×Q8—44no—
927C2×Q8—81no—
928C2×Q8—82no—
929C2×Q8—82no—
930C2×Q8—82no—
931C2×Q8H(5,𝔽2)12yes—
932C2×Q8H(5,𝔽2)12yes—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—22no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—44no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—81no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4H(5,𝔽2)12yes—
1005C2×D4H(5,𝔽2)12yes—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C2511yescharacteristic
1078Q16—44no—
1079Q16—82no—
1080SD16—44no—
1081SD16—44no—
1082SD16—82no—
1083SD16—82no—
1084D8—44no—
1085D8—82no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—44no—
1110C2×C8—82no—
1111C2×C8—82no—
1112C2×C8—82no—
1113C2×C8H(5,𝔽2)12yes—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C22⋊C4—24no—
1162C22⋊C4—24no—
1163C22⋊C4—24no—
1164C22⋊C4—24no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—42no—
1221C42—42no—
1222C42—81no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—22no—
1240C23—22no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—84no—
1271C23—84no—
1272C23—84no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23#57612yes—
1278C23#57812yes—
1279C23C23×D411yescharacteristic
1280Q8—22no—
1281Q8—22no—
1282Q8—22no—
1283Q8—22no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—84no—
1293D4—22no—
1294D4—22no—
1295D4—22no—
1296D4—22no—
1297D4—44no—
1298D4—44no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—82no—
1308D4—82no—
1309D4—82no—
1310D4—82no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—84no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
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—22no—
1333C2×C4—22no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
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—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4#58511yescharacteristic
1421C8—22no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—42no—
1446C22—42no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—42no—
1452C22—42no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—42no—
1462C22—42no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—168no—
1479C22#348411yescharacteristic
1480C22#348411yescharacteristic
1481C22#349611yescharacteristic
1482C22C2×#57611yescharacteristic
1483C22C2×#57811yescharacteristic
1484C22#358411yescharacteristic
1485C22#358411yescharacteristic
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—42no—
1491C4—42no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4#353211yescharacteristic
1510C4#353411yescharacteristic
1511C4#353411yescharacteristic
1512C4#353711yescharacteristic
1513C2—42no—
1514C2—42no—
1515C2—81no—
1516C2—81no—
1517C2—82no—
1518C2—82no—
1519C2—161no—
1520C2#5203111yescharacteristic
1521C2#6163911yescharacteristic
1522C2#6163911yescharacteristic
1523C2#6164211yescharacteristic
1524C2#6164211yescharacteristic
1525C2#6227211yescharacteristic
1526C2#6228211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2397 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53098C2semidirect
2. #45422C2semidirect
3. #32000C2semidirect
4. #31994C2semidirect
5. #31684C2semidirect
6. #31395C2semidirect
7. #31393C2semidirect
8. #31066C2semidirect
9. #31043C2semidirect
10. #31040C2semidirect
11. #30563C2semidirect
12. #30557C2semidirect
13. #30409C2semidirect
14. #30402C2semidirect
15. #30143C2semidirect
16. #30142C2semidirect
17. #29511C2semidirect
18. #29507C2semidirect
19. #28096C2semidirect
20. #25110C2semidirect
21. #25108C2semidirect
22. #24439C2semidirect
23. #24433C2semidirect
24. #24428C2semidirect
25. #24426C2semidirect
26. #24266C2semidirect
27. #24039C2semidirect
28. #24035C2semidirect
29. #23854C2semidirect
30. #23850C2semidirect
31. #22261C2semidirect
40. C2×#467C22semidirect
44. C2×#452C22semidirect
47. C2×#451C22semidirect
48. C2×#448C22semidirect
52. C2×C8×D4C22semidirect
54. C22×#103C22semidirect
68. #2645C22semidirect
69. #2644C22semidirect
75. #2486C22semidirect
76. #2485C22semidirect
84. #2416C22semidirect
85. #2415C22semidirect
92. #2407C22semidirect
93. #2407C22semidirect
97. #2100C22semidirect
98. #2099C22semidirect
99. #2095C22semidirect
100. #2093C22semidirect
101. #2083C22semidirect
102. #2083C22semidirect
104. #2076C22semidirect
105. #2075C22semidirect
106. #2075C22semidirect
107. #2072C22semidirect
108. #2071C22semidirect
109. #2068C22semidirect
110. #2068C22semidirect
113. #2056C22semidirect
115. #2055C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2036C22semidirect
126. #2036C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
143. #2000C22semidirect
146. #1973C22semidirect
148. #1969C22semidirect
150. #1955C22semidirect
152. #1935C22semidirect
154. #1933C22semidirect
159. #1892C22semidirect
160. #1892C22semidirect
161. #1880C22semidirect
162. #1880C22semidirect
165. #1878C22semidirect
166. #1878C22semidirect
171. #1873C22semidirect
177. #1869C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1863C22semidirect
182. #1863C22semidirect
183. #1863C22semidirect
184. #1863C22semidirect
190. #1852C22semidirect
191. #1832C22semidirect
192. #1825C22semidirect
193. #1808C22semidirect
194. #1808C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
202. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#530982
#454222
#320002
#319942
#316842
#313952
#313932
#310662
#310432
#310402
#305632
#305572
#304092
#304022
#301432
#301422
#295112
#295072
#280962
#251102
#251082
#244392
#244332
#244282
#244262
#242662
#240392
#240352
#238542
#238502
#222612