Finite Group Databasebeta

← #6767510

Subgroups — #6767510

Order 512.

2137 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36376C211yesmaximal, characteristic, complemented
2#34681C211yesmaximal, characteristic, complemented
3#32908C211yesmaximal, characteristic, complemented
4#31937C211yesmaximal, characteristic, complemented
5#31839C211yesmaximal, characteristic, complemented
6#31637C211yesmaximal, characteristic, complemented
7#31519C211yesmaximal, characteristic, complemented
8#30987C211yesmaximal, characteristic, complemented
9#30879C211yesmaximal, characteristic, complemented
10#30743C211yesmaximal, characteristic, complemented
11#30454C211yesmaximal, characteristic, complemented
12#30113C211yesmaximal, characteristic, complemented
13#30040C211yesmaximal, characteristic, complemented
14#29556C211yesmaximal, characteristic, complemented
15#29369C211yesmaximal, characteristic, complemented
16#28573C211yesmaximal, characteristic, complemented
17#28329C211yesmaximal, characteristic, complemented
18#28118C211yesmaximal, characteristic, complemented
19#27695C211yesmaximal, characteristic, complemented
20#27258C211yesmaximal, characteristic, complemented
21#25774C211yesmaximal, characteristic, complemented
22#25597C211yesmaximal, characteristic, complemented
23#25539C211yesmaximal, characteristic, complemented
24#24439C211yesmaximal, characteristic, complemented
25#23966C211yesmaximal, characteristic, complemented
26#23932C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#22785C211yesmaximal, characteristic, complemented
29#22268C211yesmaximal, characteristic, complemented
30#22045C211yesmaximal, characteristic, complemented
31C2×#1877C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#552C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#525—21no—
37C22×C4×D4C2211yescharacteristic
38C2×#492C2211yescharacteristic
39C2×#492C2211yescharacteristic
40C2×#487C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic, complemented
49C2×#448C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C22×#103C2211yescharacteristic
53C22×#102C2211yescharacteristic
54#2861C2211yescharacteristic, complemented
55#2857C2211yescharacteristic, complemented
56#2850C2211yescharacteristic
57#2565C2211yescharacteristic, complemented
58#2556—21no—
59#2556—21no—
60#2545C2211yescharacteristic, complemented
61#2521—21no—
62#2521—21no—
63#2501C2211yescharacteristic
64#2499C2211yescharacteristic, complemented
65#2472—21no—
66#2464—21no—
67#2461—21no—
68#2452C2211yescharacteristic
69#2445C2211yescharacteristic
70#2440C2211yescharacteristic
71#2434C2211yescharacteristic
72#2433C2211yescharacteristic
73#2432C2211yescharacteristic, complemented
74#2428C2211yescharacteristic
75#2425—21no—
76#2425—21no—
77#2424—21no—
78#2422C2211yescharacteristic
79#2416C2211yescharacteristic
80#2408C2211yescharacteristic
81#2392—21no—
82#2388—21no—
83#2359—21no—
84#2359—21no—
85C4×C4⋊Q8C2211yescharacteristic, complemented
86C4×#127C2211yescharacteristic
87C4×#121C2211yescharacteristic
88C4×#121C2211yescharacteristic
89C4×#120—21no—
90#2297C2211yescharacteristic, complemented
91C2×#391C2211yescharacteristic
92#2293C2211yescharacteristic
93C42×D4C2211yescharacteristic
94#2099C2211yescharacteristic, complemented
95#2099C2211yescharacteristic, complemented
96#2093C2211yescharacteristic
97#2093C2211yescharacteristic
98#2085C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2059C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2043C2211yescharacteristic, complemented
108#2043C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2025C2211yescharacteristic
114#2025C2211yescharacteristic
115#2025C2211yescharacteristic, complemented
116#2024C2211yescharacteristic, complemented
117#2023C2211yescharacteristic, complemented
118#2014C2211yescharacteristic
119#2014C2211yescharacteristic
120#2013C2211yescharacteristic
121#2013C2211yescharacteristic
122#2012C2211yescharacteristic
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic, complemented
125#2012C2211yescharacteristic, complemented
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#1990C2211yescharacteristic, complemented
135#1970C2211yescharacteristic
136#1970C2211yescharacteristic
137#1968C2211yescharacteristic
138#1968C2211yescharacteristic
139#1957C2211yescharacteristic
140#1957C2211yescharacteristic
141#1956C2211yescharacteristic, complemented
142#1934C2211yescharacteristic, complemented
143#1934C2211yescharacteristic, complemented
144#1933C2211yescharacteristic, complemented
145#1933C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1928C2211yescharacteristic, complemented
148#1928C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1923C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1916C2211yescharacteristic, complemented
153#1916C2211yescharacteristic, complemented
154#1893C2211yescharacteristic
155#1892C2211yescharacteristic
156#1880C2211yescharacteristic
157#1880C2211yescharacteristic
158#1880C2211yescharacteristic
159#1880C2211yescharacteristic
160#1880C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic, complemented
165#1877C2211yescharacteristic
166#1877C2211yescharacteristic
167#1877C2211yescharacteristic
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1872C2211yescharacteristic
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1839C2211yescharacteristic, complemented
189#1834C2211yescharacteristic, complemented
190#1823C2211yescharacteristic
191#1817C2211yescharacteristic, complemented
192#1804C2211yescharacteristic
193#1804C2211yescharacteristic
194#1797C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197C8×C22⋊C4C2211yescharacteristic
198C8×C22⋊C4C2211yescharacteristic
199C4×C22⋊C8C2211yescharacteristic, complemented
200#1744C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic
202C2×#336C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C22×SD16—24no—
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#552—42no—
226#552—42no—
227#548—42no—
228#548—42no—
229#532—42no—
230#532—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#126—21no—
237C2×#125—21no—
238C2×#125C2311yescharacteristic
239C2×#124—21no—
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243#525—48no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4—21no—
276C2×C4×D4—21no—
277C2×C4×D4—42no—
278C2×C4×D4—42no—
279C2×C4×D4D411yescharacteristic
280C2×C4×D4D411yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×#117—21no—
288C2×#117—21no—
289C2×#117C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C22⋊C4—21no—
293C22×C42C2311yescharacteristic
294C22×C42C2311yescharacteristic
295#492—24no—
296#492—42no—
297#487—42no—
298#480—42no—
299#466—42no—
300#465—42no—
301#463—42no—
302#463—42no—
303#450—42no—
304#449—24no—
305#449—42no—
306#449—42no—
307#448—42no—
308#447—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×#103—42no—
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#102—42no—
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C4×C8C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357C2×C4×C8C2311yescharacteristic
358C2×C4×C8C2311yescharacteristic
359#399—21no—
360#399—21no—
361#398—21no—
362#398—21no—
363#398—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#395—21no—
372#395—21no—
373#395—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#393—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#391—21no—
388#391—21no—
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
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#389—21no—
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#388—21no—
426#388—21no—
427#387—21no—
428#387—21no—
429#387—21no—
430#387—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#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#384C2311yescharacteristic
448#384C2311yescharacteristic
449#384C2311yescharacteristic
450#382C2311yescharacteristic
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#379—21no—
456C4×C4⋊C4—21no—
457C4×C4⋊C4—21no—
458C4×C4⋊C4D411yescharacteristic
459C4×C4⋊C4D411yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4—21no—
467C4×C22⋊C4D411yescharacteristic
468C4×C22⋊C4D411yescharacteristic
469C4×C22⋊C4D411yescharacteristic
470C4×C22⋊C4D411yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C2×#95—21no—
474C2×#95—21no—
475C43C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506C25—21no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—44no—
512C2×#41—44no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—82no—
516C22×Q8—21no—
517C22×Q8—21no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4C2×D411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—44no—
559C23×C4—44no—
560C23×C4—82no—
561C23×C4C2×D411yescharacteristic
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—416no—
594C2×SD16#4114yescomplemented
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C22×C8—22no—
605C22×C8—22no—
606C22×C8—22no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C4⋊Q8—22no—
619C4⋊Q8—22no—
620C4⋊Q8—41no—
621C4⋊Q8—41no—
622C4⋊Q8—41no—
623C4⋊Q8—41no—
624#127—22no—
625#127—22no—
626#127—41no—
627#127—41no—
628#126—44no—
629#125—41no—
630#125—41no—
631#125—44no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—44no—
637#124—44no—
638#123—44no—
639#123—44no—
640#123—44no—
641#123—44no—
642#123—44no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—44no—
650C22⋊Q8—44no—
651C22⋊Q8—44no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—44no—
660#121—44no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—44no—
665#121—44no—
666#120—44no—
667#120—44no—
668#120—44no—
669C4×Q8—41no—
670C4×Q8—41no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—24no—
678C4×D4—24no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—44no—
688C4×D4—44no—
689C4×D4—44no—
690C4×D4—44no—
691C4×D4—44no—
692C4×D4—44no—
693C4×D4—44no—
694C4×D4—82no—
695#117—44no—
696#117—44no—
697#117—41no—
698#117—41no—
699C2×C4⋊C4—22no—
700C2×C4⋊C4—22no—
701C2×C4⋊C4—22no—
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—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
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—21no—
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×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42—41no—
791C2×C42—41no—
792C2×C42C2×D411yescharacteristic
793C2×C42C2×D411yescharacteristic
794C2×C42C2×D411yescharacteristic
795C2×C42C2×D411yescharacteristic
796C2×C42C2×D411yescharacteristic
797C2×C42C2×D411yescharacteristic
798C2×C42C2×D411yescharacteristic
799C2×C42C2×D411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805#107—41no—
806#107—41no—
807#107—41no—
808#106—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—22no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#103—41no—
826#102—22no—
827#102—22no—
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—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C4×C8—22no—
850C4×C8—41no—
851C4×C8—41no—
852C4×C8—41no—
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#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—42no—
887C24—42no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—81no—
892C24—81no—
893C24C22×D411yescharacteristic
894C24C22×D411yescharacteristic
895#41—816no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
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—42no—
918C2×Q8—42no—
919C2×Q8—44no—
920C2×Q8—44no—
921C2×Q8—42no—
922C2×Q8—42no—
923C2×Q8—81no—
924C2×Q8—81no—
925C2×Q8—82no—
926C2×Q8—82no—
927C2×Q8C2×#4112yes—
928C2×D4—28no—
929C2×D4—22no—
930C2×D4—22no—
931C2×D4—22no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
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—44no—
955C2×D4—44no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—44no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
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—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4C2×#4112yes—
991C2×D4H(5,𝔽2)12yes—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—24no—
997C22×C4—22no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—22no—
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—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—816no—
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4H(5,𝔽2)12yes—
1067C22×C4H(5,𝔽2)12yes—
1068C22×C4C2511yescharacteristic
1069SD16—44no—
1070SD16—44no—
1071SD16—44no—
1072SD16—44no—
1073SD16—82no—
1074SD16—82no—
1075SD16—82no—
1076SD16—82no—
1077SD16—82no—
1078D8—82no—
1079D8—82no—
1080D8—82no—
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×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—44no—
1105C2×C8—82no—
1106C2×C8C2×#4112yes—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
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—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4H(5,𝔽2)12yes—
1152C22⋊C4—24no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4#13514yes—
1195C22⋊C4AGL(1,ℤ/8)14yes—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C42—42no—
1215C42—42no—
1216C42—42no—
1217C42—42no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—22no—
1225C23—21no—
1226C23—22no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—48no—
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—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—84no—
1263C23—84no—
1264C23#53512yes—
1265C23C2×#13512yes—
1266C23C2×AGL(1,ℤ/8)12yes—
1267C23C23×D411yescharacteristic
1268Q8—22no—
1269Q8—22no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—84no—
1281Q8—84no—
1282D4—22no—
1283D4—22no—
1284D4—22no—
1285D4—22no—
1286D4—48no—
1287D4—44no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—84no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—84no—
1308D4—84no—
1309D4—84no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—22no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—48no—
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—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—82no—
1388C2×C4—84no—
1389C2×C4—84no—
1390C2×C4—82no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—84no—
1396C2×C4—84no—
1397C2×C4#53512yes—
1398C2×C4C2×#13512yes—
1399C2×C4C2×#13512yes—
1400C2×C4C2×AGL(1,ℤ/8)12yes—
1401C2×C4C2×AGL(1,ℤ/8)12yes—
1402C2×C4#57712yes—
1403C2×C4C22×#4111yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4C2×H(5,𝔽2)11yescharacteristic
1406C2×C4C2×H(5,𝔽2)11yescharacteristic
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4#58511yescharacteristic
1409C8—22no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—41no—
1424C22—42no—
1425C22—41no—
1426C22—41no—
1427C22—42no—
1428C22—42no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—41no—
1436C22—816no—
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—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22#320714yes—
1460C22C2×#53511yescharacteristic
1461C22D4×#4111yescharacteristic
1462C22#348411yescharacteristic
1463C22C22×#13511yescharacteristic
1464C22C22×AGL(1,ℤ/8)11yescharacteristic
1465C22C2×#57711yescharacteristic
1466C22#358611yescharacteristic
1467C4—22no—
1468C4—22no—
1469C4—22no—
1470C4—22no—
1471C4—22no—
1472C4—22no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—42no—
1478C4—41no—
1479C4—41no—
1480C4—42no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4#349011yescharacteristic
1492C4#351911yescharacteristic
1493C4#353411yescharacteristic
1494C4#354211yescharacteristic
1495C2—24no—
1496C2—81no—
1497C2—82no—
1498C2—82no—
1499C2—161no—
1500C2—161no—
1501C2#3835811yescharacteristic
1502C2C2×#320711yescharacteristic
1503C2#6083611yescharacteristic
1504C2#6143211yescharacteristic
1505C2#6145211yescharacteristic
1506C2#6156811yescharacteristic
1507C2#6160011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36376C2semidirect
2. #34681C2semidirect
3. #32908C2semidirect
4. #31937C2semidirect
5. #31839C2semidirect
6. #31637C2semidirect
7. #31519C2semidirect
8. #30987C2semidirect
9. #30879C2semidirect
10. #30743C2semidirect
11. #30454C2semidirect
12. #30113C2semidirect
13. #30040C2semidirect
14. #29556C2semidirect
15. #29369C2semidirect
16. #28573C2semidirect
17. #28329C2semidirect
18. #28118C2semidirect
19. #27695C2semidirect
20. #27258C2semidirect
21. #25774C2semidirect
22. #25597C2semidirect
23. #25539C2semidirect
24. #24439C2semidirect
25. #23966C2semidirect
26. #23932C2semidirect
27. #23858C2semidirect
28. #22785C2semidirect
29. #22268C2semidirect
30. #22045C2semidirect
31. C2×#1877C2semidirect
40. C2×#487C22semidirect
48. C2×#449C22semidirect
54. #2861C22semidirect
55. #2857C22semidirect
57. #2565C22semidirect
60. #2545C22semidirect
64. #2499C22semidirect
73. #2432C22semidirect
85. C4×C4⋊Q8C22semidirect
90. #2297C22semidirect
94. #2099C22semidirect
95. #2099C22semidirect
98. #2085C22semidirect
99. #2073C22semidirect
100. #2072C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
104. #2059C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2043C22semidirect
108. #2043C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2036C22semidirect
112. #2036C22semidirect
115. #2025C22semidirect
116. #2024C22semidirect
117. #2023C22semidirect
124. #2012C22semidirect
125. #2012C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #1990C22semidirect
141. #1956C22semidirect
142. #1934C22semidirect
143. #1934C22semidirect
144. #1933C22semidirect
145. #1933C22semidirect
146. #1928C22semidirect
147. #1928C22semidirect
148. #1928C22semidirect
149. #1926C22semidirect
150. #1923C22semidirect
151. #1923C22semidirect
152. #1916C22semidirect
153. #1916C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
164. #1879C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
180. #1875C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
187. #1854C22semidirect
188. #1839C22semidirect
189. #1834C22semidirect
191. #1817C22semidirect
195. #1788C22semidirect
199. C4×C22⋊C8C22semidirect
200. #1744C22semidirect
594. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#363762
#346812
#329082
#319372
#318392
#316372
#315192
#309872
#308792
#307432
#304542
#301132
#300402
#295562
#293692
#285732
#283292
#281182
#276952
#272582
#257742
#255972
#255392
#244392
#239662
#239322
#238582
#227852
#222682
#220452
C2×#18772