Finite Group Databasebeta

← #6940241

Subgroups — #6940241

Order 512.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1441 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38910C211yesmaximal, characteristic, complemented
2#38050C211yesmaximal, characteristic, complemented
3#32750C211yesmaximal, characteristic, complemented
4#32719C211yesmaximal, characteristic, complemented
5#32655C211yesmaximal, characteristic, complemented
6#32628C211yesmaximal, characteristic, complemented
7#32613C211yesmaximal, characteristic, complemented
8#32589C211yesmaximal, characteristic, complemented
9#31771C211yesmaximal, characteristic, complemented
10#31676C211yesmaximal, characteristic, complemented
11#31207C211yesmaximal, characteristic, complemented
12#31020C211yesmaximal, characteristic, complemented
13#30030C211yesmaximal, characteristic, complemented
14#30006C211yesmaximal, characteristic, complemented
15#29959C211yesmaximal, characteristic, complemented
16#29778C211yesmaximal, characteristic, complemented
17#29758C211yesmaximal, characteristic, complemented
18#29236C211yesmaximal, characteristic, complemented
19#28126C211yesmaximal, characteristic, complemented
20#26153C211yesmaximal, characteristic, complemented
21#26152C211yesmaximal, characteristic, complemented
22#25538C211yesmaximal, characteristic, complemented
23#24948C211yesmaximal, characteristic, complemented
24#24869C211yesmaximal, characteristic, complemented
25#24617C211yesmaximal, characteristic, complemented
26#24512C211yesmaximal, characteristic, complemented
27#24424C211yesmaximal, characteristic, complemented
28#24044C211yesmaximal, characteristic, complemented
29#23976C211yesmaximal, characteristic, complemented
30#23614C211yesmaximal, characteristic, complemented
31#21855C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C2×#482C2211yescharacteristic
36C2×#482C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#466C2211yescharacteristic
40C2×#447C2211yescharacteristic
41C2×#447C2211yescharacteristic
42C2×#433C2211yescharacteristic, complemented
43C2×#428C2211yescharacteristic, complemented
44C2×#424C2211yescharacteristic, complemented
45C2×#418C2211yescharacteristic
46C22×#102C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2211yescharacteristic, complemented
49#2710—21no—
50#2708—21no—
51#2685—21no—
52#2685—21no—
53#2678—21no—
54#2678—21no—
55#2674—21no—
56#2671—21no—
57#2628C2211yescharacteristic, complemented
58#2624C2211yescharacteristic
59#2624C2211yescharacteristic
60#2624C2211yescharacteristic, complemented
61#2580C2211yescharacteristic, complemented
62#2548C2211yescharacteristic
63#2546C2211yescharacteristic, complemented
64#2540—21no—
65#2538C2211yescharacteristic
66#2521—21no—
67#2491—21no—
68#2490—21no—
69#2485C2211yescharacteristic
70#2485C2211yescharacteristic, complemented
71#2479—21no—
72#2475—21no—
73#2435—21no—
74#2416C2211yescharacteristic
75#2414C2211yescharacteristic
76#2414C2211yescharacteristic
77#2414C2211yescharacteristic, complemented
78#2408—21no—
79#2408C2211yescharacteristic
80#2408C2211yescharacteristic
81#2354C2211yescharacteristic
82#2352C2211yescharacteristic, complemented
83#2324C2211yescharacteristic, complemented
84#2316C2211yescharacteristic, complemented
85#2309C2211yescharacteristic
86#2309C2211yescharacteristic
87C4×#121C2211yescharacteristic
88#2296C2211yescharacteristic, complemented
89#2100C2211yescharacteristic, complemented
90#2094C2211yescharacteristic, complemented
91#2092C2211yescharacteristic
92#2092C2211yescharacteristic, complemented
93#2088C2211yescharacteristic, complemented
94#2087C2211yescharacteristic, complemented
95#2087C2211yescharacteristic, complemented
96#2086C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2083C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2075C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2067C2211yescharacteristic
106#2067C2211yescharacteristic
107#2067C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2067C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2067C2211yescharacteristic, complemented
113#2067C2211yescharacteristic, complemented
114#2065C2211yescharacteristic
115#2065C2211yescharacteristic
116#2065C2211yescharacteristic
117#2065C2211yescharacteristic, complemented
118#2065C2211yescharacteristic, complemented
119#2065C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic, complemented
137#2023C2211yescharacteristic
138#2023C2211yescharacteristic, complemented
139#2023C2211yescharacteristic, complemented
140#2011C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1985C2211yescharacteristic, complemented
146#1984C2211yescharacteristic, complemented
147#1972C2211yescharacteristic, complemented
148#1970C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1954C2211yescharacteristic, complemented
151#1944C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic
154#1936C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1926C2211yescharacteristic
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1920C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1918C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1895C2211yescharacteristic
166#1895C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic, complemented
181#1864C2211yescharacteristic
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic
184#1862C2211yescharacteristic
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1798C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1797C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1735C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×D8C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C23×C8C2311yescharacteristic
211#555—42no—
212#555—42no—
213D42—42no—
214D42—42no—
215C2×C4⋊Q8—21no—
216C2×C4⋊Q8C2311yescharacteristic
217C2×#127C2311yescharacteristic
218#529—42no—
219#529—42no—
220C2×#126D411yescharacteristic
221C2×#126D411yescharacteristic
222C2×#125D411yescharacteristic
223C2×#124—21no—
224C2×#124—21no—
225C2×#124—21no—
226C2×#124D411yescharacteristic
227C2×#123—21no—
228C2×#123D411yescharacteristic
229C2×#123D411yescharacteristic
230C2×C22⋊Q8—21no—
231C2×C22⋊Q8D411yescharacteristic
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121D411yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×#120—21no—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×D4—21no—
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×#117—21no—
258C2×#117C2311yescharacteristic
259C2×#117C2311yescharacteristic
260C2×#117C2311yescharacteristic
261C2×#117C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C42C2311yescharacteristic
267#482—42no—
268#482—42no—
269#482—42no—
270#482—42no—
271#466—42no—
272#447—42no—
273#447—42no—
274#433—42no—
275#428—42no—
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#107C2311yescharacteristic
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#106C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289#424—42no—
290C2×C4⋊C8C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296#418—42no—
297C2×#102—42no—
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×#97C2311yescharacteristic
335C2×C4×C8C2311yescharacteristic
336#400—21no—
337#399—21no—
338#399—21no—
339#399—21no—
340#399—21no—
341#399—21no—
342#398—21no—
343#398—21no—
344#397—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#396—21no—
350#396—21no—
351#396—21no—
352#395—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#393—21no—
370#393—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#391—21no—
377#390—21no—
378#390—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390—21no—
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#389—21no—
402#389—21no—
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
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#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#384C2311yescharacteristic
441#382C2311yescharacteristic
442#380—21no—
443#380—21no—
444#380—21no—
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#379—21no—
454#379—21no—
455#379—21no—
456#379—21no—
457#379—21no—
458#379—21no—
459C4×C4⋊C4—21no—
460C4×C4⋊C4—21no—
461C4×C4⋊C4—21no—
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
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#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496C25—21no—
497C25—21no—
498C22×Q8—21no—
499C22×Q8C2×D411yescharacteristic
500C22×D4—22no—
501C22×D4—22no—
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—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—44no—
525C22×D4—82no—
526C22×D4—82no—
527C22×D4C2×D411yescharacteristic
528C22×D4C2×D411yescharacteristic
529C22×D4C2×D411yescharacteristic
530C22×D4C2411yescharacteristic
531C22×D4C2411yescharacteristic
532C22×D4C2411yescharacteristic
533C22×D4C2411yescharacteristic
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4C2×D411yescharacteristic
538C23×C4C2×D411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C2×D8—22no—
543C2×D8—41no—
544C2×D8—41no—
545C2×D8—41no—
546C2×D8—41no—
547C2×D8—41no—
548C2×D8—41no—
549C2×D8—41no—
550C2×D8—41no—
551C2×M16—22no—
552C2×M16—41no—
553C2×M16—41no—
554C22×C8—22no—
555C22×C8—41no—
556C22×C8—41no—
557C22×C8C2411yescharacteristic
558C22×C8C2411yescharacteristic
559C22×C8C2411yescharacteristic
560C22×C8C2411yescharacteristic
561C22×C8C2411yescharacteristic
562C22×C8C2411yescharacteristic
563C22×C8C2411yescharacteristic
564C22×C8C2411yescharacteristic
565C4⋊Q8—41no—
566C4⋊Q8—41no—
567C4⋊Q8—82no—
568#127—41no—
569#127—41no—
570#126—42no—
571#126—42no—
572#125—42no—
573#124—42no—
574#124—44no—
575#124—44no—
576#124—82no—
577#123—42no—
578#123—42no—
579#123—82no—
580C22⋊Q8—42no—
581C22⋊Q8—82no—
582#121—22no—
583#121—22no—
584#121—22no—
585#121—22no—
586#121—22no—
587#121—22no—
588#121—42no—
589#121—41no—
590#121—41no—
591#121—41no—
592#121—41no—
593#121—41no—
594#121—41no—
595#121—44no—
596#121—44no—
597#121—41no—
598#121—41no—
599#121—41no—
600#121—41no—
601#121—82no—
602#121—82no—
603#121—82no—
604#120—44no—
605#120—44no—
606#120—82no—
607#120—82no—
608C4×Q8—41no—
609C4×Q8—41no—
610C4×D4—22no—
611C4×D4—22no—
612C4×D4—22no—
613C4×D4—22no—
614C4×D4—41no—
615C4×D4—41no—
616C4×D4—41no—
617C4×D4—41no—
618C4×D4—41no—
619C4×D4—41no—
620C4×D4—82no—
621#117—22no—
622#117—22no—
623#117—22no—
624#117—22no—
625#117—22no—
626#117—41no—
627#117—41no—
628#117—41no—
629#117—41no—
630#117—41no—
631#117—44no—
632#117—41no—
633#117—41no—
634#117—41no—
635#117—41no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4C2×D411yescharacteristic
655C2×C4⋊C4C2×D411yescharacteristic
656C2×C4⋊C4C2×D411yescharacteristic
657C2×C4⋊C4C2×D411yescharacteristic
658C2×C4⋊C4C2×D411yescharacteristic
659C2×C4⋊C4C2×D411yescharacteristic
660C2×C4⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
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—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C22⋊C4C2×D411yescharacteristic
727C2×C22⋊C4C2×D411yescharacteristic
728C2×C22⋊C4C2×D411yescharacteristic
729C2×C22⋊C4C2×D411yescharacteristic
730C2×C22⋊C4C2×D411yescharacteristic
731C2×C22⋊C4C2×D411yescharacteristic
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C42—21no—
734C2×C42—21no—
735C2×C42—21no—
736C2×C42—21no—
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42—41no—
741C2×C42—41no—
742C2×C42C2×D411yescharacteristic
743C2×C42C2×D411yescharacteristic
744C2×C42C2411yescharacteristic
745C2×C42C2411yescharacteristic
746C2×C42C2411yescharacteristic
747C2×C42C2411yescharacteristic
748#107—22no—
749#107—41no—
750#107—41no—
751#107—41no—
752#107—41no—
753#107—41no—
754#107—41no—
755#106—22no—
756#106—22no—
757#106—41no—
758#106—41no—
759#106—41no—
760#106—41no—
761C4⋊C8—41no—
762C4⋊C8—41no—
763C4⋊C8—41no—
764C4⋊C8—41no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767#102—22no—
768#102—22no—
769#102—22no—
770#102—22no—
771#102—41no—
772#102—41no—
773#102—41no—
774#102—41no—
775#102—41no—
776#102—41no—
777#102—41no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793C22⋊C8—22no—
794C22⋊C8—22no—
795C22⋊C8—41no—
796C22⋊C8—41no—
797C22⋊C8—41no—
798C22⋊C8—41no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803#97—41no—
804C4×C8—41no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—42no—
834C24—42no—
835C24—42no—
836C24—42no—
837C24—81no—
838C24—81no—
839C24—81no—
840C24—81no—
841C24—81no—
842C24—81no—
843C24—81no—
844C24—81no—
845C24—81no—
846C24—81no—
847C24C22×D411yescharacteristic
848C24C22×D411yescharacteristic
849C24C22×D411yescharacteristic
850C2×Q8—22no—
851C2×Q8—41no—
852C2×Q8—41no—
853C2×Q8—42no—
854C2×Q8—81no—
855C2×Q8—81no—
856C2×D4—22no—
857C2×D4—22no—
858C2×D4—22no—
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—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—21no—
873C2×D4—21no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—41no—
885C2×D4—41no—
886C2×D4—41no—
887C2×D4—41no—
888C2×D4—41no—
889C2×D4—41no—
890C2×D4—42no—
891C2×D4—42no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—42no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—42no—
903C2×D4—42no—
904C2×D4—42no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—82no—
908C2×D4—82no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—81no—
912C2×D4—81no—
913C2×D4—82no—
914C2×D4—82no—
915C2×D4—82no—
916C2×D4—82no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—816no—
933C2×D42−1+412yes—
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—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—22no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—41no—
964C22×C4—41no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—42no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—42no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4C22×D411yescharacteristic
978C22×C4C22×D411yescharacteristic
979C22×C4C22×D411yescharacteristic
980C22×C4C22×D411yescharacteristic
981C22×C4C22×D411yescharacteristic
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4H(5,𝔽2)12yes—
989C22×C4H(5,𝔽2)12yes—
990C22×C4C2511yescharacteristic
991D8—82no—
992D8—82no—
993D8—82no—
994M16—44no—
995C2×C8—21no—
996C2×C8—21no—
997C2×C8—21no—
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—82no—
1020C4⋊C4—22no—
1021C4⋊C4—22no—
1022C4⋊C4—22no—
1023C4⋊C4—22no—
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—41no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—42no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—42no—
1058C4⋊C4—81no—
1059C4⋊C4—81no—
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⋊C4—81no—
1069C4⋊C4H(5,𝔽2)12yes—
1070C22⋊C4—22no—
1071C22⋊C4—22no—
1072C22⋊C4—22no—
1073C22⋊C4—22no—
1074C22⋊C4—22no—
1075C22⋊C4—22no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—41no—
1079C22⋊C4—41no—
1080C22⋊C4—42no—
1081C22⋊C4—42no—
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—81no—
1093C22⋊C4—81no—
1094C22⋊C4—81no—
1095C22⋊C4—81no—
1096C22⋊C4—81no—
1097C22⋊C4—81no—
1098C22⋊C4—81no—
1099C22⋊C4—81no—
1100C22⋊C4—81no—
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—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—21no—
1135C42—41no—
1136C42—41no—
1137C42—42no—
1138C42—42no—
1139C42—42no—
1140C42—42no—
1141C42—81no—
1142C42—81no—
1143C42—81no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—22no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
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—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—84no—
1193C23—84no—
1194C23—84no—
1195C23—84no—
1196C23—162no—
1197C23—162no—
1198C23—162no—
1199C23—162no—
1200C23—162no—
1201C23—162no—
1202C23—162no—
1203C23—162no—
1204C23—162no—
1205C23—162no—
1206C23#53412yes—
1207C23C23×D411yescharacteristic
1208Q8—82no—
1209Q8—162no—
1210D4—22no—
1211D4—22no—
1212D4—44no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—84no—
1228D4—84no—
1229D4—82no—
1230D4—82no—
1231D4—84no—
1232D4—84no—
1233D4—84no—
1234D4—84no—
1235D4—162no—
1236D4—162no—
1237D4—162no—
1238D4—162no—
1239D4—162no—
1240D4—162no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—22no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
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—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—82no—
1321C2×C4—84no—
1322C2×C4—82no—
1323C2×C4—84no—
1324C2×C4—162no—
1325C2×C4#53412yes—
1326C2×C4#57612yes—
1327C2×C4C2×H(5,𝔽2)11yescharacteristic
1328C2×C4C2×H(5,𝔽2)11yescharacteristic
1329C2×C4C2×H(5,𝔽2)11yescharacteristic
1330C2×C4C2×2−1+411yescharacteristic
1331C2×C4#58511yescharacteristic
1332C2×C4#58511yescharacteristic
1333C8—41no—
1334C8—41no—
1335C8—41no—
1336C8—41no—
1337C8—41no—
1338C8—41no—
1339C8—41no—
1340C8—41no—
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—42no—
1359C22—41no—
1360C22—42no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—42no—
1365C22—81no—
1366C22—81no—
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—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—168no—
1391C22—168no—
1392C22C2×#53411yescharacteristic
1393C22#348811yescharacteristic
1394C22#348911yescharacteristic
1395C22C2×#57611yescharacteristic
1396C22#358411yescharacteristic
1397C22#358511yescharacteristic
1398C22#358511yescharacteristic
1399C4—22no—
1400C4—22no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—42no—
1409C4—41no—
1410C4—41no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4—81no—
1415C4—81no—
1416C4—81no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4#353511yescharacteristic
1423C4#353611yescharacteristic
1424C4#354211yescharacteristic
1425C4#356011yescharacteristic
1426C2—42no—
1427C2—81no—
1428C2—81no—
1429C2—82no—
1430C2—161no—
1431C2—161no—
1432C2—161no—
1433C2#4198211yescharacteristic
1434C2#6075611yescharacteristic
1435C2#6076711yescharacteristic
1436C2#6206711yescharacteristic
1437C2#6208111yescharacteristic
1438C2#6215911yescharacteristic
1439C2#6218711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38910C2semidirect
2. #38050C2semidirect
3. #32750C2semidirect
4. #32719C2semidirect
5. #32655C2semidirect
6. #32628C2semidirect
7. #32613C2semidirect
8. #32589C2semidirect
9. #31771C2semidirect
10. #31676C2semidirect
11. #31207C2semidirect
12. #31020C2semidirect
13. #30030C2semidirect
14. #30006C2semidirect
15. #29959C2semidirect
16. #29778C2semidirect
17. #29758C2semidirect
18. #29236C2semidirect
19. #28126C2semidirect
20. #26153C2semidirect
21. #26152C2semidirect
22. #25538C2semidirect
23. #24948C2semidirect
24. #24869C2semidirect
25. #24617C2semidirect
26. #24512C2semidirect
27. #24424C2semidirect
28. #24044C2semidirect
29. #23976C2semidirect
30. #23614C2semidirect
31. #21855C2semidirect
32. C2×#555C22semidirect
36. C2×#482C22semidirect
37. C2×#482C22semidirect
38. C2×#482C22semidirect
42. C2×#433C22semidirect
43. C2×#428C22semidirect
44. C2×#424C22semidirect
48. #2854C22semidirect
57. #2628C22semidirect
60. #2624C22semidirect
61. #2580C22semidirect
63. #2546C22semidirect
70. #2485C22semidirect
77. #2414C22semidirect
82. #2352C22semidirect
83. #2324C22semidirect
84. #2316C22semidirect
88. #2296C22semidirect
89. #2100C22semidirect
90. #2094C22semidirect
92. #2092C22semidirect
93. #2088C22semidirect
94. #2087C22semidirect
95. #2087C22semidirect
96. #2086C22semidirect
97. #2085C22semidirect
98. #2084C22semidirect
99. #2083C22semidirect
100. #2077C22semidirect
101. #2076C22semidirect
102. #2075C22semidirect
103. #2075C22semidirect
104. #2073C22semidirect
107. #2067C22semidirect
108. #2067C22semidirect
109. #2067C22semidirect
110. #2067C22semidirect
111. #2067C22semidirect
112. #2067C22semidirect
113. #2067C22semidirect
117. #2065C22semidirect
118. #2065C22semidirect
119. #2065C22semidirect
120. #2065C22semidirect
121. #2057C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
136. #2033C22semidirect
138. #2023C22semidirect
139. #2023C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1985C22semidirect
146. #1984C22semidirect
147. #1972C22semidirect
149. #1955C22semidirect
150. #1954C22semidirect
151. #1944C22semidirect
152. #1941C22semidirect
154. #1936C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1920C22semidirect
162. #1919C22semidirect
163. #1918C22semidirect
164. #1918C22semidirect
166. #1895C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
178. #1870C22semidirect
180. #1869C22semidirect
182. #1864C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1853C22semidirect
191. #1825C22semidirect
192. #1825C22semidirect
193. #1808C22semidirect
194. #1798C22semidirect
195. #1798C22semidirect
196. #1797C22semidirect
197. #1797C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#389102
#380502
#327502
#327192
#326552
#326282
#326132
#325892
#317712
#316762
#312072
#310202
#300302
#300062
#299592
#297782
#297582
#292362
#281262
#261532
#261522
#255382
#249482
#248692
#246172
#245122
#244242
#240442
#239762
#236142
#218552