Finite Group Databasebeta

← #6770958

Subgroups — #6770958

Order 512.

1999 conjugacy classes of subgroups.

The subgroup lattice has 1519 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38026C211yesmaximal, characteristic, complemented
2#35232C211yesmaximal, characteristic, complemented
3#33002C211yesmaximal, characteristic, complemented
4#32662C211yesmaximal, characteristic, complemented
5#32613C211yesmaximal, characteristic, complemented
6#32606C211yesmaximal, characteristic, complemented
7#32545C211yesmaximal, characteristic, complemented
8#31389C211yesmaximal, characteristic, complemented
9#30574C211yesmaximal, characteristic, complemented
10#30416C211yesmaximal, characteristic, complemented
11#30400C211yesmaximal, characteristic, complemented
12#30118C211yesmaximal, characteristic, complemented
13#30031C211yesmaximal, characteristic, complemented
14#29484C211yesmaximal, characteristic, complemented
15#29422C211yesmaximal, characteristic, complemented
16#28584C211yesmaximal, characteristic, complemented
17#28126C211yesmaximal, characteristic, complemented
18#28094C211yesmaximal, characteristic, complemented
19#27859C211yesmaximal, characteristic, complemented
20#27588C211yesmaximal, characteristic, complemented
21#25250C211yesmaximal, characteristic, complemented
22#25108C211yesmaximal, characteristic, complemented
23#24945C211yesmaximal, characteristic, complemented
24#24869C211yesmaximal, characteristic, complemented
25#24272C211yesmaximal, characteristic, complemented
26#24032C211yesmaximal, characteristic, complemented
27#23848C211yesmaximal, characteristic, complemented
28#22470C211yesmaximal, characteristic, complemented
29#22202C211yesmaximal, characteristic, complemented
30#22056C211yesmaximal, characteristic, complemented
31C2×#1879C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic, complemented
36C2×#482C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#469C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#435C2211yescharacteristic, complemented
45C2×C8×D4C2211yescharacteristic, complemented
46C22×#102C2211yescharacteristic
47C22×#102C2211yescharacteristic, complemented
48#2854C2211yescharacteristic
49#2849—21no—
50#2849—21no—
51#2714—21no—
52#2711—21no—
53#2685—21no—
54#2670—21no—
55#2633—21no—
56#2631—21no—
57#2624C2211yescharacteristic, complemented
58#2619C2211yescharacteristic, complemented
59#2603—21no—
60#2603—21no—
61#2580C2211yescharacteristic, complemented
62#2580C2211yescharacteristic, complemented
63#2580C2211yescharacteristic, complemented
64#2561—21no—
65#2548C2211yescharacteristic, complemented
66#2539—21no—
67#2539—21no—
68#2535C2211yescharacteristic, complemented
69#2535C2211yescharacteristic, complemented
70#2486C2211yescharacteristic
71#2486C2211yescharacteristic, complemented
72#2472—21no—
73#2416C2211yescharacteristic
74#2414C2211yescharacteristic, complemented
75#2410—21no—
76#2408C2211yescharacteristic
77#2408C2211yescharacteristic
78#2408C2211yescharacteristic, complemented
79#2408C2211yescharacteristic, complemented
80#2405—21no—
81#2352C2211yescharacteristic
82#2324C2211yescharacteristic, complemented
83#2324C2211yescharacteristic, complemented
84#2324C2211yescharacteristic, complemented
85#2324C2211yescharacteristic, complemented
86#2324C2211yescharacteristic, complemented
87#2309C2211yescharacteristic, complemented
88C2×#390C2211yescharacteristic
89#2283C2211yescharacteristic, complemented
90#2101C2211yescharacteristic, complemented
91#2101C2211yescharacteristic, complemented
92#2092C2211yescharacteristic, complemented
93#2092C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2092C2211yescharacteristic, complemented
96#2087C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2073C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic, complemented
112#2054C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic, complemented
129#1999C2211yescharacteristic, complemented
130#1985C2211yescharacteristic, complemented
131#1984C2211yescharacteristic, complemented
132#1972C2211yescharacteristic
133#1972C2211yescharacteristic, complemented
134#1970C2211yescharacteristic, complemented
135#1944C2211yescharacteristic, complemented
136#1936C2211yescharacteristic, complemented
137#1934C2211yescharacteristic, complemented
138#1934C2211yescharacteristic, complemented
139#1934C2211yescharacteristic, complemented
140#1926C2211yescharacteristic, complemented
141#1926C2211yescharacteristic, complemented
142#1926C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1925C2211yescharacteristic, complemented
145#1925C2211yescharacteristic, complemented
146#1925C2211yescharacteristic, complemented
147#1925C2211yescharacteristic, complemented
148#1921C2211yescharacteristic, complemented
149#1921C2211yescharacteristic, complemented
150#1920C2211yescharacteristic, complemented
151#1920C2211yescharacteristic, complemented
152#1895C2211yescharacteristic, complemented
153#1893C2211yescharacteristic
154#1893C2211yescharacteristic
155#1893C2211yescharacteristic, complemented
156#1893C2211yescharacteristic, complemented
157#1893C2211yescharacteristic, complemented
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1870C2211yescharacteristic, complemented
174#1869C2211yescharacteristic
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic, complemented
177#1862C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1823C2211yescharacteristic, complemented
188#1818C2211yescharacteristic, complemented
189#1817C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1808C2211yescharacteristic, complemented
192#1807C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1750C2211yescharacteristic, complemented
200C2×#340C2211yescharacteristic, complemented
201#1729C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C22×D8—24no—
209C22×D8—42no—
210C22×D8—42no—
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221D42—42no—
222D42—42no—
223C2×#127C2311yescharacteristic
224#529—42no—
225#529—42no—
226C2×#126D411yescharacteristic
227C2×#126D411yescharacteristic
228C2×#125D411yescharacteristic
229C2×#124—21no—
230C2×#124D411yescharacteristic
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×#123D411yescharacteristic
235C2×#123D411yescharacteristic
236C2×C22⋊Q8D411yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121D411yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×#120—21no—
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—42no—
259C2×C4×D4—42no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C42C2311yescharacteristic
277#482—42no—
278#480—42no—
279#469—24no—
280#469—42no—
281#466—42no—
282#447—24no—
283#447—42no—
284#447—42no—
285#435—42no—
286C8×D4—42no—
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×#102—42no—
300C2×#102—42no—
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×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×C4×C8C2311yescharacteristic
339#399—21no—
340#399—21no—
341#399—21no—
342#399—21no—
343#398—21no—
344#398—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#397—21no—
350#396—21no—
351#394—21no—
352#394—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#393—21no—
364#393—21no—
365#393—21no—
366#392—21no—
367#392—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#390—21no—
376#390—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#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#387—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#383—21no—
440#382C2311yescharacteristic
441#382C2311yescharacteristic
442#382C2311yescharacteristic
443#381—21no—
444#381—21no—
445#381—21no—
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#379—21no—
456#379—21no—
457#379—21no—
458#379—21no—
459#379—21no—
460#379—21no—
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466#376—21no—
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#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C25—21no—
502C22×Q8C2×D411yescharacteristic
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—44no—
536C22×D4—82no—
537C22×D4—82no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—44no—
554C23×C4—82no—
555C23×C4—82no—
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—416no—
579C2×D8#4114yes—
580C2×M16—22no—
581C2×M16—41no—
582C2×M16—41no—
583C22×C8—22no—
584C22×C8—22no—
585C22×C8—22no—
586C22×C8—41no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600#127—41no—
601#127—41no—
602#126—42no—
603#126—42no—
604#125—42no—
605#124—42no—
606#124—82no—
607#123—42no—
608#123—42no—
609#123—82no—
610#123—82no—
611#123—82no—
612C22⋊Q8—42no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—44no—
628#121—42no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—82no—
634#120—44no—
635#120—44no—
636#120—82no—
637#120—82no—
638#120—82no—
639#120—82no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—44no—
659C4×D4—44no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664#117—41no—
665#117—41no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—44no—
751C2×C22⋊C4—82no—
752C2×C22⋊C4—82no—
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—22no—
764C2×C42—22no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42C2×D411yescharacteristic
770C2×C42C2×D411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775#107—41no—
776#107—41no—
777#107—41no—
778#107—41no—
779#107—41no—
780#107—41no—
781#106—22no—
782#106—41no—
783#106—41no—
784#106—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823#97—41no—
824C4×C8—41no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878C24C22×D411yescharacteristic
879C2×Q8—41no—
880C2×Q8—41no—
881C2×Q8—41no—
882C2×D4—28no—
883C2×D4—22no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—22no—
887C2×D4—22no—
888C2×D4—22no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—44no—
917C2×D4—44no—
918C2×D4—44no—
919C2×D4—44no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—44no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—82no—
951C2×D4—82no—
952C2×D4—82no—
953C2×D4—82no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—816no—
973C2×D4C2×#4112yes—
974C2×D4C2×#4112yes—
975C2×D4H(5,𝔽2)12yes—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—816no—
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4H(5,𝔽2)12yes—
1043C22×C4H(5,𝔽2)12yes—
1044C22×C4C2511yescharacteristic
1045D8—44no—
1046D8—44no—
1047D8—44no—
1048D8—44no—
1049D8—82no—
1050D8—82no—
1051M16—82no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—44no—
1076C2×C8—82no—
1077C2×C8—82no—
1078C2×C8C2×#4112yes—
1079C4⋊C4—22no—
1080C4⋊C4—22no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—42no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C42—22no—
1181C42—22no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—81no—
1191C42—81no—
1192C42—81no—
1193C42—81no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—22no—
1205C23—22no—
1206C23—21no—
1207C23—21no—
1208C23—22no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—48no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—84no—
1249C23—84no—
1250C23—84no—
1251C23—84no—
1252C23—84no—
1253C23—84no—
1254C23—84no—
1255C23—84no—
1256C23—84no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23—162no—
1267C23—162no—
1268C23#53412yes—
1269C23#57612yes—
1270C23#57612yes—
1271C23C23×D411yescharacteristic
1272Q8—82no—
1273D4—22no—
1274D4—22no—
1275D4—22no—
1276D4—22no—
1277D4—22no—
1278D4—22no—
1279D4—48no—
1280D4—44no—
1281D4—44no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—84no—
1297D4—82no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—84no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—44no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—82no—
1389C2×C4—84no—
1390C2×C4—84no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—162no—
1396C2×C4#53412yes—
1397C2×C4C22×#4111yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4C2×H(5,𝔽2)11yescharacteristic
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4#58511yescharacteristic
1402C2×C4#58511yescharacteristic
1403C8—22no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—41no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—42no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—816no—
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—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—168no—
1468C22—168no—
1469C22#319914yes—
1470C22C2×#53411yescharacteristic
1471C22D4×#4111yescharacteristic
1472C22#348811yescharacteristic
1473C22C2×#57611yescharacteristic
1474C22C2×#57611yescharacteristic
1475C22#358411yescharacteristic
1476C22#358511yescharacteristic
1477C4—22no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4#349011yescharacteristic
1500C4#351311yescharacteristic
1501C4#353311yescharacteristic
1502C4#353411yescharacteristic
1503C2—24no—
1504C2—81no—
1505C2—81no—
1506C2—82no—
1507C2—82no—
1508C2—82no—
1509C2—161no—
1510C2—161no—
1511C2#3836411yescharacteristic
1512C2C2×#319911yescharacteristic
1513C2#6076011yescharacteristic
1514C2#6148911yescharacteristic
1515C2#6151911yescharacteristic
1516C2#6200711yescharacteristic
1517C2#6206411yescharacteristic
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. #38026C2semidirect
2. #35232C2semidirect
3. #33002C2semidirect
4. #32662C2semidirect
5. #32613C2semidirect
6. #32606C2semidirect
7. #32545C2semidirect
8. #31389C2semidirect
9. #30574C2semidirect
10. #30416C2semidirect
11. #30400C2semidirect
12. #30118C2semidirect
13. #30031C2semidirect
14. #29484C2semidirect
15. #29422C2semidirect
16. #28584C2semidirect
17. #28126C2semidirect
18. #28094C2semidirect
19. #27859C2semidirect
20. #27588C2semidirect
21. #25250C2semidirect
22. #25108C2semidirect
23. #24945C2semidirect
24. #24869C2semidirect
25. #24272C2semidirect
26. #24032C2semidirect
27. #23848C2semidirect
28. #22470C2semidirect
29. #22202C2semidirect
30. #22056C2semidirect
31. C2×#1879C2semidirect
35. C22×C4×D4C22semidirect
36. C2×#482C22semidirect
39. C2×#469C22semidirect
40. C2×#466C22semidirect
44. C2×#435C22semidirect
45. C2×C8×D4C22semidirect
47. C22×#102C22semidirect
57. #2624C22semidirect
58. #2619C22semidirect
61. #2580C22semidirect
62. #2580C22semidirect
63. #2580C22semidirect
65. #2548C22semidirect
68. #2535C22semidirect
69. #2535C22semidirect
71. #2486C22semidirect
74. #2414C22semidirect
78. #2408C22semidirect
79. #2408C22semidirect
82. #2324C22semidirect
83. #2324C22semidirect
84. #2324C22semidirect
85. #2324C22semidirect
86. #2324C22semidirect
87. #2309C22semidirect
89. #2283C22semidirect
90. #2101C22semidirect
91. #2101C22semidirect
92. #2092C22semidirect
93. #2092C22semidirect
94. #2092C22semidirect
95. #2092C22semidirect
96. #2087C22semidirect
97. #2085C22semidirect
98. #2085C22semidirect
99. #2077C22semidirect
100. #2076C22semidirect
101. #2076C22semidirect
102. #2073C22semidirect
103. #2073C22semidirect
104. #2073C22semidirect
105. #2073C22semidirect
106. #2067C22semidirect
107. #2067C22semidirect
108. #2067C22semidirect
109. #2065C22semidirect
111. #2054C22semidirect
112. #2054C22semidirect
113. #2041C22semidirect
114. #2041C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
128. #1999C22semidirect
129. #1999C22semidirect
130. #1985C22semidirect
131. #1984C22semidirect
133. #1972C22semidirect
134. #1970C22semidirect
135. #1944C22semidirect
136. #1936C22semidirect
137. #1934C22semidirect
138. #1934C22semidirect
139. #1934C22semidirect
140. #1926C22semidirect
141. #1926C22semidirect
142. #1926C22semidirect
143. #1926C22semidirect
144. #1925C22semidirect
145. #1925C22semidirect
146. #1925C22semidirect
147. #1925C22semidirect
148. #1921C22semidirect
149. #1921C22semidirect
150. #1920C22semidirect
151. #1920C22semidirect
152. #1895C22semidirect
155. #1893C22semidirect
156. #1893C22semidirect
157. #1893C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1875C22semidirect
173. #1870C22semidirect
176. #1869C22semidirect
177. #1862C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1825C22semidirect
187. #1823C22semidirect
188. #1818C22semidirect
189. #1817C22semidirect
190. #1809C22semidirect
191. #1808C22semidirect
192. #1807C22semidirect
193. #1798C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1750C22semidirect
200. C2×#340C22semidirect
201. #1729C22semidirect
202. C2×#336C22semidirect

Maximal subgroups

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

subgroupindex
#380262
#352322
#330022
#326622
#326132
#326062
#325452
#313892
#305742
#304162
#304002
#301182
#300312
#294842
#294222
#285842
#281262
#280942
#278592
#275882
#252502
#251082
#249452
#248692
#242722
#240322
#238482
#224702
#222022
#220562
C2×#18792