Finite Group Databasebeta

← #7301752

Subgroups — #7301752

Order 512.

1803 conjugacy classes of subgroups.

The subgroup lattice has 1435 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59015C211yesmaximal, characteristic, complemented
2#39933C211yesmaximal, characteristic, complemented
3#32304C211yesmaximal, characteristic, complemented
4#32046C211yesmaximal, characteristic, complemented
5#31800C211yesmaximal, characteristic, complemented
6#31769C211yesmaximal, characteristic, complemented
7#31728C211yesmaximal, characteristic, complemented
8#31446C211yesmaximal, characteristic, complemented
9#31396C211yesmaximal, characteristic, complemented
10#31391C211yesmaximal, characteristic, complemented
11#31357C211yesmaximal, characteristic, complemented
12#31261C211yesmaximal, characteristic, complemented
13#31104C211yesmaximal, characteristic, complemented
14#31016C211yesmaximal, characteristic, complemented
15#29891C211yesmaximal, characteristic, complemented
16#29592C211yesmaximal, characteristic, complemented
17#27604C211yesmaximal, characteristic, complemented
18#27536C211yesmaximal, characteristic, complemented
19#27097C211yesmaximal, characteristic, complemented
20#26797C211yesmaximal, characteristic, complemented
21#26737C211yesmaximal, characteristic, complemented
22#26564C211yesmaximal, characteristic, complemented
23#26300C211yesmaximal, characteristic, complemented
24#26140C211yesmaximal, characteristic, complemented
25#26126C211yesmaximal, characteristic, complemented
26#25027C211yesmaximal, characteristic, complemented
27#24909C211yesmaximal, characteristic, complemented
28#24128C211yesmaximal, characteristic, complemented
29#24088C211yesmaximal, characteristic, complemented
30#24009C211yesmaximal, characteristic, complemented
31#23307C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#546—21no—
34C22×#121C2211yescharacteristic
35C2×#482C2211yescharacteristic
36C2×#482C2211yescharacteristic
37C2×#480C2211yescharacteristic
38C2×#480C2211yescharacteristic, complemented
39C2×#476C2211yescharacteristic, complemented
40C2×#447C2211yescharacteristic
41C2×#442C2211yescharacteristic, complemented
42C22×#107C2211yescharacteristic, complemented
43#2847C2211yescharacteristic
44#2761—21no—
45#2760—21no—
46#2684—21no—
47#2678—21no—
48#2672—21no—
49#2671—21no—
50#2653—21no—
51#2576—21no—
52#2563C2211yescharacteristic
53#2557—21no—
54#2537C2211yescharacteristic
55#2535C2211yescharacteristic, complemented
56#2501C2211yescharacteristic
57#2494C2211yescharacteristic
58#2494C2211yescharacteristic, complemented
59#2491C2211yescharacteristic
60#2491C2211yescharacteristic, complemented
61#2486C2211yescharacteristic, complemented
62#2440C2211yescharacteristic
63#2439C2211yescharacteristic, complemented
64#2437—21no—
65#2430—21no—
66#2425—21no—
67#2422C2211yescharacteristic
68#2420C2211yescharacteristic
69#2418—21no—
70#2416C2211yescharacteristic
71#2416C2211yescharacteristic
72#2416C2211yescharacteristic
73#2414C2211yescharacteristic, complemented
74#2408C2211yescharacteristic
75#2405—21no—
76#2363C2211yescharacteristic, complemented
77#2361C2211yescharacteristic
78#2352C2211yescharacteristic, complemented
79D4×C4⋊C4C2211yescharacteristic
80D4×C22⋊C4C2211yescharacteristic
81#2333—21no—
82C4×#120C2211yescharacteristic
83#2280C2211yescharacteristic
84C2×#380C2211yescharacteristic
85#2101C2211yescharacteristic, complemented
86#2100C2211yescharacteristic, complemented
87#2093C2211yescharacteristic, complemented
88#2092C2211yescharacteristic, complemented
89#2088C2211yescharacteristic, complemented
90#2087C2211yescharacteristic, complemented
91#2085C2211yescharacteristic, complemented
92#2083C2211yescharacteristic, complemented
93#2077C2211yescharacteristic
94#2077C2211yescharacteristic
95#2077C2211yescharacteristic
96#2077C2211yescharacteristic
97#2077C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2075C2211yescharacteristic
102#2075C2211yescharacteristic
103#2073C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2065C2211yescharacteristic, complemented
107#2057C2211yescharacteristic, complemented
108#2057C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2023C2211yescharacteristic, complemented
126#2023C2211yescharacteristic, complemented
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic, complemented
132#1999C2211yescharacteristic, complemented
133#1993C2211yescharacteristic, complemented
134#1990C2211yescharacteristic, complemented
135#1987C2211yescharacteristic, complemented
136#1970C2211yescharacteristic, complemented
137#1955C2211yescharacteristic, complemented
138#1955C2211yescharacteristic, complemented
139#1954C2211yescharacteristic
140#1948C2211yescharacteristic, complemented
141#1947C2211yescharacteristic, complemented
142#1944C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1924C2211yescharacteristic
152#1924C2211yescharacteristic
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1918C2211yescharacteristic, complemented
159#1893C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1875C2211yescharacteristic
165#1875C2211yescharacteristic
166#1874C2211yescharacteristic, complemented
167#1874C2211yescharacteristic, complemented
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1869C2211yescharacteristic
171#1869C2211yescharacteristic, complemented
172#1869C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1862C2211yescharacteristic, complemented
176#1862C2211yescharacteristic, complemented
177#1854C2211yescharacteristic, complemented
178#1854C2211yescharacteristic, complemented
179#1853C2211yescharacteristic
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1852C2211yescharacteristic
184#1852C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1847C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic
193#1823C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1779C2211yescharacteristic
200#1779C2211yescharacteristic
201C4×#106C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C23×C8C2311yescharacteristic
210#547—42no—
211#547—42no—
212#546—48no—
213C2×C4⋊Q8C2311yescharacteristic
214C2×C4⋊Q8C2311yescharacteristic
215C2×#124—21no—
216C2×#124—21no—
217C2×#123—21no—
218C2×#123—21no—
219C2×#123—21no—
220C2×#123—21no—
221C2×#123—21no—
222C2×#123—21no—
223C2×C22⋊Q8—21no—
224C2×C22⋊Q8—21no—
225C2×#121—21no—
226C2×#121—21no—
227C2×#121—21no—
228C2×#121—21no—
229C2×#121—21no—
230C2×#121—21no—
231C2×#121—42no—
232C2×#121—42no—
233C2×#121C2311yescharacteristic
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×#120D411yescharacteristic
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×#117C2311yescharacteristic
255C2×#117C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C22⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C22⋊C4—21no—
264#482—42no—
265#482—42no—
266#480—42no—
267#480—42no—
268#476—42no—
269#447—42no—
270#442—42no—
271C2×#107—42no—
272C2×#107C2311yescharacteristic
273C2×#107C2311yescharacteristic
274C2×#107C2311yescharacteristic
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#106C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×#106C2311yescharacteristic
283C2×#106C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×C4⋊C8C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288C2×C4⋊C8C2311yescharacteristic
289C2×#102C2311yescharacteristic
290C2×#102C2311yescharacteristic
291C2×#102C2311yescharacteristic
292C2×#102C2311yescharacteristic
293C2×#102C2311yescharacteristic
294C2×#102C2311yescharacteristic
295C2×#102C2311yescharacteristic
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×C22⋊C8C2311yescharacteristic
310C2×C22⋊C8C2311yescharacteristic
311C2×C22⋊C8C2311yescharacteristic
312C2×C22⋊C8C2311yescharacteristic
313C2×C22⋊C8C2311yescharacteristic
314C2×C22⋊C8C2311yescharacteristic
315C2×C22⋊C8C2311yescharacteristic
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×#97C2311yescharacteristic
325C2×#97C2311yescharacteristic
326C2×C4×C8C2311yescharacteristic
327#401—21no—
328#401—21no—
329#399—21no—
330#399—21no—
331#398—21no—
332#398—21no—
333#397—21no—
334#397—21no—
335#397—21no—
336#397—21no—
337#397—21no—
338#397—21no—
339#396—21no—
340#396—21no—
341#396—21no—
342#396—21no—
343#395—21no—
344#394—21no—
345#394—21no—
346#394—21no—
347#394—21no—
348#394—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#393—21no—
356#393—21no—
357#393—21no—
358#393—21no—
359#393—21no—
360#392—21no—
361#392—21no—
362#392—21no—
363#391—21no—
364#390—21no—
365#390—21no—
366#390—21no—
367#390C2311yescharacteristic
368#390C2311yescharacteristic
369#390C2311yescharacteristic
370#390C2311yescharacteristic
371#390C2311yescharacteristic
372#390C2311yescharacteristic
373#389—21no—
374#389C2311yescharacteristic
375#389C2311yescharacteristic
376#389C2311yescharacteristic
377#389C2311yescharacteristic
378#389C2311yescharacteristic
379#389C2311yescharacteristic
380#388—21no—
381#388—21no—
382#388—21no—
383#388—21no—
384#388—21no—
385#388—21no—
386#388—21no—
387#388—21no—
388#387—21no—
389#387—21no—
390#387—21no—
391#387—21no—
392#386—21no—
393#386—21no—
394#386—21no—
395#386—21no—
396#386—21no—
397#386—21no—
398#386—21no—
399#386—21no—
400#386—21no—
401#386—21no—
402#386—21no—
403#386—21no—
404#386—21no—
405#386—21no—
406#386D411yescharacteristic
407#386D411yescharacteristic
408#386D411yescharacteristic
409#385—21no—
410#385—21no—
411#385—21no—
412#385—21no—
413#385—21no—
414#385D411yescharacteristic
415#385D411yescharacteristic
416#385D411yescharacteristic
417#384C2311yescharacteristic
418#384C2311yescharacteristic
419#382—21no—
420#382C2311yescharacteristic
421#382C2311yescharacteristic
422#381—21no—
423#381—21no—
424#381—21no—
425#380—21no—
426#380—21no—
427#380—21no—
428#380C2311yescharacteristic
429#380C2311yescharacteristic
430#380C2311yescharacteristic
431#380C2311yescharacteristic
432#380C2311yescharacteristic
433#380C2311yescharacteristic
434#380C2311yescharacteristic
435#380C2311yescharacteristic
436#380C2311yescharacteristic
437#380C2311yescharacteristic
438#380C2311yescharacteristic
439#380C2311yescharacteristic
440#380C2311yescharacteristic
441#380C2311yescharacteristic
442#379—21no—
443#379—21no—
444#379—21no—
445#379D411yescharacteristic
446C4×C4⋊C4C2311yescharacteristic
447C4×C4⋊C4C2311yescharacteristic
448C4×C4⋊C4C2311yescharacteristic
449C4×C22⋊C4—21no—
450C4×C22⋊C4—21no—
451C4×C22⋊C4—21no—
452C4×C22⋊C4—21no—
453C4×C22⋊C4C2311yescharacteristic
454C4×C22⋊C4C2311yescharacteristic
455C4×C22⋊C4C2311yescharacteristic
456C2×#95—21no—
457#340C2311yescharacteristic
458#340C2311yescharacteristic
459#340C2311yescharacteristic
460#340C2311yescharacteristic
461#340C2311yescharacteristic
462#340C2311yescharacteristic
463#340C2311yescharacteristic
464#340C2311yescharacteristic
465#340C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491C25—21no—
492C25C2×D411yescharacteristic
493C2×#41—44no—
494C2×#41—44no—
495C2×#41—82no—
496C22×Q8—21no—
497C22×Q8—21no—
498C22×D4—21no—
499C22×D4—22no—
500C22×D4—21no—
501C22×D4—21no—
502C22×D4—21no—
503C22×D4—21no—
504C22×D4—21no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—44no—
516C22×D4—44no—
517C22×D4—82no—
518C22×D4C2×D411yescharacteristic
519C22×D4C2×D411yescharacteristic
520C22×D4C2×D411yescharacteristic
521C22×D4C2411yescharacteristic
522C22×D4C2411yescharacteristic
523C22×D4C2411yescharacteristic
524C23×C4—21no—
525C23×C4—21no—
526C23×C4—21no—
527C23×C4—21no—
528C23×C4—21no—
529C23×C4—21no—
530C23×C4—21no—
531C23×C4—21no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4C2×D411yescharacteristic
539C23×C4C2×D411yescharacteristic
540C23×C4C2×D411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C2×D8—22no—
546C2×D8—41no—
547C2×D8—41no—
548C2×D8—41no—
549C2×D8—41no—
550C2×D8—41no—
551C22×C8—41no—
552C22×C8—41no—
553C22×C8—41no—
554C22×C8C2411yescharacteristic
555C22×C8C2411yescharacteristic
556C22×C8C2411yescharacteristic
557C22×C8C2411yescharacteristic
558C22×C8C2411yescharacteristic
559C22×C8C2411yescharacteristic
560C22×C8C2411yescharacteristic
561C22×C8C2411yescharacteristic
562C4⋊Q8—22no—
563C4⋊Q8—41no—
564C4⋊Q8—41no—
565C4⋊Q8—41no—
566#124—44no—
567#124—82no—
568#123—44no—
569#123—44no—
570#123—44no—
571#123—44no—
572#123—82no—
573#123—82no—
574C22⋊Q8—44no—
575C22⋊Q8—44no—
576#121—22no—
577#121—22no—
578#121—22no—
579#121—22no—
580#121—22no—
581#121—44no—
582#121—41no—
583#121—41no—
584#121—41no—
585#121—41no—
586#121—41no—
587#121—41no—
588#121—41no—
589#121—44no—
590#121—44no—
591#121—44no—
592#121—44no—
593#121—44no—
594#121—41no—
595#121—41no—
596#121—41no—
597#121—41no—
598#121—41no—
599#121—41no—
600#121—41no—
601#121—41no—
602#120—24no—
603#120—44no—
604#120—82no—
605C4×D4—22no—
606C4×D4—41no—
607C4×D4—41no—
608C4×D4—41no—
609C4×D4—41no—
610C4×D4—41no—
611C4×D4—41no—
612C4×D4—41no—
613C4×D4—41no—
614C4×D4—41no—
615C4×D4—41no—
616C4×D4—41no—
617C4×D4—44no—
618C4×D4—44no—
619#117—41no—
620#117—41no—
621#117—41no—
622#117—41no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—21no—
626C2×C4⋊C4—21no—
627C2×C4⋊C4—21no—
628C2×C4⋊C4—21no—
629C2×C4⋊C4—21no—
630C2×C4⋊C4—21no—
631C2×C4⋊C4—21no—
632C2×C4⋊C4—21no—
633C2×C4⋊C4—21no—
634C2×C4⋊C4—21no—
635C2×C4⋊C4—21no—
636C2×C4⋊C4—21no—
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C4⋊C4C2×D411yescharacteristic
651C2×C4⋊C4C2×D411yescharacteristic
652C2×C4⋊C4C2×D411yescharacteristic
653C2×C4⋊C4C2411yescharacteristic
654C2×C4⋊C4C2411yescharacteristic
655C2×C4⋊C4C2411yescharacteristic
656C2×C4⋊C4C2411yescharacteristic
657C2×C4⋊C4C2411yescharacteristic
658C2×C4⋊C4C2411yescharacteristic
659C2×C4⋊C4C2411yescharacteristic
660C2×C4⋊C4C2411yescharacteristic
661C2×C4⋊C4C2411yescharacteristic
662C2×C4⋊C4C2411yescharacteristic
663C2×C4⋊C4C2411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C22⋊C4—21no—
667C2×C22⋊C4—21no—
668C2×C22⋊C4—21no—
669C2×C22⋊C4—21no—
670C2×C22⋊C4—21no—
671C2×C22⋊C4—21no—
672C2×C22⋊C4—21no—
673C2×C22⋊C4—21no—
674C2×C22⋊C4—21no—
675C2×C22⋊C4—21no—
676C2×C22⋊C4—21no—
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—44no—
708C2×C22⋊C4—44no—
709C2×C22⋊C4—44no—
710C2×C22⋊C4C2×D411yescharacteristic
711C2×C22⋊C4C2×D411yescharacteristic
712C2×C22⋊C4C2×D411yescharacteristic
713C2×C22⋊C4C2×D411yescharacteristic
714C2×C22⋊C4C2×D411yescharacteristic
715C2×C22⋊C4C2×D411yescharacteristic
716C2×C22⋊C4C2×D411yescharacteristic
717C2×C22⋊C4C2×D411yescharacteristic
718C2×C22⋊C4C2×D411yescharacteristic
719C2×C22⋊C4C2×D411yescharacteristic
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C42—21no—
723C2×C42—21no—
724C2×C42—21no—
725C2×C42—21no—
726C2×C42—21no—
727C2×C42C2411yescharacteristic
728C2×C42C2411yescharacteristic
729C2×C42C2411yescharacteristic
730#107—22no—
731#107—22no—
732#107—41no—
733#107—41no—
734#107—41no—
735#107—41no—
736#107—41no—
737#107—41no—
738#106—22no—
739#106—41no—
740#106—41no—
741#106—41no—
742#106—41no—
743#106—41no—
744C4⋊C8—41no—
745C4⋊C8—41no—
746C4⋊C8—41no—
747#102—22no—
748#102—22no—
749#102—22no—
750#102—22no—
751#102—41no—
752#102—41no—
753#102—41no—
754#102—41no—
755#102—41no—
756#102—41no—
757#102—41no—
758#102—41no—
759#102—41no—
760#102—41no—
761#102—41no—
762#102—41no—
763#102—41no—
764#102—41no—
765#102—41no—
766#102—41no—
767C22⋊C8—41no—
768C22⋊C8—41no—
769C22⋊C8—41no—
770C22⋊C8—41no—
771C22⋊C8—41no—
772C22⋊C8—41no—
773C22⋊C8—41no—
774C22⋊C8—41no—
775C22⋊C8—41no—
776C22⋊C8—41no—
777C22⋊C8—41no—
778C22⋊C8—41no—
779C22⋊C8—41no—
780C22⋊C8—41no—
781C22⋊C8—41no—
782#97—41no—
783#97—41no—
784C4×C8—41no—
785#95—21no—
786#95—21no—
787#95—21no—
788#95—21no—
789#95—21no—
790#95—21no—
791#95—21no—
792#95—21no—
793#95—21no—
794#95—21no—
795#95—21no—
796#95—21no—
797#95—21no—
798#95—21no—
799#95—21no—
800#95—21no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95C2×D411yescharacteristic
813#95C2×D411yescharacteristic
814#95C2×D411yescharacteristic
815#95C2×D411yescharacteristic
816#95C2×D411yescharacteristic
817#95C2×D411yescharacteristic
818C24—21no—
819C24—22no—
820C24—22no—
821C24—21no—
822C24—21no—
823C24—41no—
824C24—41no—
825C24—41no—
826C24—41no—
827C24—41no—
828C24—42no—
829C24—42no—
830C24—42no—
831C24—42no—
832C24—81no—
833C24—81no—
834C24—81no—
835C24C22×D411yescharacteristic
836C24C22×D411yescharacteristic
837C24C22×D411yescharacteristic
838C24C22×D411yescharacteristic
839#41—816no—
840C2×Q8—42no—
841C2×Q8—42no—
842C2×Q8—81no—
843C2×Q8—81no—
844C2×Q8—81no—
845C2×Q8—81no—
846C2×D4—24no—
847C2×D4—22no—
848C2×D4—22no—
849C2×D4—22no—
850C2×D4—21no—
851C2×D4—21no—
852C2×D4—21no—
853C2×D4—21no—
854C2×D4—21no—
855C2×D4—21no—
856C2×D4—21no—
857C2×D4—21no—
858C2×D4—21no—
859C2×D4—21no—
860C2×D4—21no—
861C2×D4—21no—
862C2×D4—21no—
863C2×D4—21no—
864C2×D4—21no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—41no—
868C2×D4—41no—
869C2×D4—41no—
870C2×D4—41no—
871C2×D4—41no—
872C2×D4—42no—
873C2×D4—42no—
874C2×D4—42no—
875C2×D4—42no—
876C2×D4—42no—
877C2×D4—42no—
878C2×D4—42no—
879C2×D4—42no—
880C2×D4—42no—
881C2×D4—42no—
882C2×D4—42no—
883C2×D4—42no—
884C2×D4—42no—
885C2×D4—42no—
886C2×D4—42no—
887C2×D4—42no—
888C2×D4—42no—
889C2×D4—42no—
890C2×D4—81no—
891C2×D4—82no—
892C2×D4—82no—
893C2×D4—82no—
894C2×D4—82no—
895C2×D4—81no—
896C2×D4—81no—
897C2×D4—81no—
898C2×D4—81no—
899C2×D4—81no—
900C2×D4—81no—
901C2×D4—81no—
902C2×D4—81no—
903C2×D4—81no—
904C2×D4—81no—
905C2×D4—81no—
906C2×D4—81no—
907C2×D4—81no—
908C2×D4—816no—
909C2×D4AGL(1,ℤ/8)14yes—
910C2×D4H(5,𝔽2)12yes—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—41no—
949C22×C4—41no—
950C22×C4—41no—
951C22×C4—41no—
952C22×C4—41no—
953C22×C4—41no—
954C22×C4—41no—
955C22×C4—41no—
956C22×C4—41no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4—42no—
962C22×C4—42no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—82no—
976C22×C4—82no—
977C22×C4—82no—
978C22×C4—82no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4—81no—
983C22×C4—81no—
984C22×C4—81no—
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4C22×D411yescharacteristic
989C22×C4C22×D411yescharacteristic
990C22×C4C22×D411yescharacteristic
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C2511yescharacteristic
996D8—44no—
997D8—82no—
998C2×C8—21no—
999C2×C8—21no—
1000C2×C8—21no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—44no—
1023C4⋊C4—21no—
1024C4⋊C4—21no—
1025C4⋊C4—21no—
1026C4⋊C4—21no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—42no—
1052C4⋊C4—42no—
1053C4⋊C4—42no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—42no—
1058C4⋊C4—42no—
1059C4⋊C4—42no—
1060C4⋊C4—81no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4H(5,𝔽2)12yes—
1069C22⋊C4—24no—
1070C22⋊C4—22no—
1071C22⋊C4—22no—
1072C22⋊C4—22no—
1073C22⋊C4—22no—
1074C22⋊C4—41no—
1075C22⋊C4—41no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—41no—
1079C22⋊C4—41no—
1080C22⋊C4—41no—
1081C22⋊C4—41no—
1082C22⋊C4—42no—
1083C22⋊C4—42no—
1084C22⋊C4—42no—
1085C22⋊C4—42no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—42no—
1091C22⋊C4—42no—
1092C22⋊C4—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—42no—
1099C22⋊C4—42no—
1100C22⋊C4—42no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C42—21no—
1123C42—21no—
1124C42—21no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—42no—
1129C42—81no—
1130C42—81no—
1131C42—81no—
1132C42—81no—
1133C23—21no—
1134C23—21no—
1135C23—21no—
1136C23—21no—
1137C23—21no—
1138C23—21no—
1139C23—21no—
1140C23—21no—
1141C23—21no—
1142C23—21no—
1143C23—21no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—22no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—44no—
1160C23—44no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—82no—
1182C23—82no—
1183C23—82no—
1184C23—84no—
1185C23—84no—
1186C23—82no—
1187C23—82no—
1188C23—84no—
1189C23—84no—
1190C23—162no—
1191C23—162no—
1192C23—162no—
1193C23C2×AGL(1,ℤ/8)12yes—
1194C23C2×AGL(1,ℤ/8)12yes—
1195C23#57612yes—
1196C23C23×D411yescharacteristic
1197Q8—84no—
1198Q8—162no—
1199D4—22no—
1200D4—22no—
1201D4—44no—
1202D4—44no—
1203D4—48no—
1204D4—41no—
1205D4—41no—
1206D4—41no—
1207D4—41no—
1208D4—41no—
1209D4—41no—
1210D4—41no—
1211D4—41no—
1212D4—41no—
1213D4—41no—
1214D4—82no—
1215D4—84no—
1216D4—84no—
1217D4—84no—
1218D4—84no—
1219D4—84no—
1220D4—162no—
1221D4—162no—
1222D4—162no—
1223D4—162no—
1224D4—162no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—22no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—82no—
1310C2×C4—82no—
1311C2×C4—82no—
1312C2×C4—84no—
1313C2×C4—84no—
1314C2×C4—84no—
1315C2×C4—84no—
1316C2×C4—162no—
1317C2×C4—162no—
1318C2×C4—162no—
1319C2×C4—162no—
1320C2×C4C2×AGL(1,ℤ/8)12yes—
1321C2×C4C2×H(5,𝔽2)11yescharacteristic
1322C2×C4C2×H(5,𝔽2)11yescharacteristic
1323C2×C4#58511yescharacteristic
1324C2×C4#58511yescharacteristic
1325C2×C4#58511yescharacteristic
1326C2×C4#58511yescharacteristic
1327C8—41no—
1328C8—41no—
1329C8—41no—
1330C8—41no—
1331C8—41no—
1332C8—41no—
1333C8—41no—
1334C8—41no—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—42no—
1361C22—41no—
1362C22—41no—
1363C22—42no—
1364C22—41no—
1365C22—42no—
1366C22—88no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—168no—
1386C22#348411yescharacteristic
1387C22#348511yescharacteristic
1388C22#348511yescharacteristic
1389C22C22×AGL(1,ℤ/8)11yescharacteristic
1390C22C2×#57611yescharacteristic
1391C22#358411yescharacteristic
1392C22#358611yescharacteristic
1393C4—22no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—42no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—81no—
1405C4—81no—
1406C4—81no—
1407C4—81no—
1408C4—81no—
1409C4—81no—
1410C4—81no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4—81no—
1415C4—81no—
1416C4#353311yescharacteristic
1417C4#354011yescharacteristic
1418C4#356011yescharacteristic
1419C4#356211yescharacteristic
1420C2—42no—
1421C2—42no—
1422C2—42no—
1423C2—81no—
1424C2—82no—
1425C2—161no—
1426C2—161no—
1427C2#4782811yescharacteristic
1428C2#6159111yescharacteristic
1429C2#6162711yescharacteristic
1430C2#6170611yescharacteristic
1431C2#6173311yescharacteristic
1432C2#6175911yescharacteristic
1433C2#6177211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59015C2semidirect
2. #39933C2semidirect
3. #32304C2semidirect
4. #32046C2semidirect
5. #31800C2semidirect
6. #31769C2semidirect
7. #31728C2semidirect
8. #31446C2semidirect
9. #31396C2semidirect
10. #31391C2semidirect
11. #31357C2semidirect
12. #31261C2semidirect
13. #31104C2semidirect
14. #31016C2semidirect
15. #29891C2semidirect
16. #29592C2semidirect
17. #27604C2semidirect
18. #27536C2semidirect
19. #27097C2semidirect
20. #26797C2semidirect
21. #26737C2semidirect
22. #26564C2semidirect
23. #26300C2semidirect
24. #26140C2semidirect
25. #26126C2semidirect
26. #25027C2semidirect
27. #24909C2semidirect
28. #24128C2semidirect
29. #24088C2semidirect
30. #24009C2semidirect
31. #23307C2semidirect
38. C2×#480C22semidirect
39. C2×#476C22semidirect
41. C2×#442C22semidirect
42. C22×#107C22semidirect
55. #2535C22semidirect
58. #2494C22semidirect
60. #2491C22semidirect
61. #2486C22semidirect
63. #2439C22semidirect
73. #2414C22semidirect
76. #2363C22semidirect
78. #2352C22semidirect
85. #2101C22semidirect
86. #2100C22semidirect
87. #2093C22semidirect
88. #2092C22semidirect
89. #2088C22semidirect
90. #2087C22semidirect
91. #2085C22semidirect
92. #2083C22semidirect
97. #2077C22semidirect
98. #2077C22semidirect
99. #2076C22semidirect
100. #2076C22semidirect
103. #2073C22semidirect
104. #2071C22semidirect
105. #2067C22semidirect
106. #2065C22semidirect
107. #2057C22semidirect
108. #2057C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
125. #2023C22semidirect
126. #2023C22semidirect
131. #1999C22semidirect
132. #1999C22semidirect
133. #1993C22semidirect
134. #1990C22semidirect
135. #1987C22semidirect
136. #1970C22semidirect
137. #1955C22semidirect
138. #1955C22semidirect
140. #1948C22semidirect
141. #1947C22semidirect
142. #1944C22semidirect
143. #1936C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1934C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1925C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1921C22semidirect
158. #1918C22semidirect
159. #1893C22semidirect
160. #1893C22semidirect
161. #1893C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
166. #1874C22semidirect
167. #1874C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
171. #1869C22semidirect
172. #1869C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1862C22semidirect
176. #1862C22semidirect
177. #1854C22semidirect
178. #1854C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
184. #1852C22semidirect
185. #1852C22semidirect
186. #1852C22semidirect
187. #1847C22semidirect
188. #1825C22semidirect
189. #1825C22semidirect
190. #1824C22semidirect
191. #1824C22semidirect
193. #1823C22semidirect
194. #1804C22semidirect
195. #1804C22semidirect
201. C4×#106C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#590152
#399332
#323042
#320462
#318002
#317692
#317282
#314462
#313962
#313912
#313572
#312612
#311042
#310162
#298912
#295922
#276042
#275362
#270972
#267972
#267372
#265642
#263002
#261402
#261262
#250272
#249092
#241282
#240882
#240092
#233072