Finite Group Databasebeta

← #7236286

Subgroups — #7236286

Order 512.

1825 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39957C211yesmaximal, characteristic, complemented
2#38922C211yesmaximal, characteristic, complemented
3#32773C211yesmaximal, characteristic, complemented
4#31735C211yesmaximal, characteristic, complemented
5#31721C211yesmaximal, characteristic, complemented
6#31652C211yesmaximal, characteristic, complemented
7#31638C211yesmaximal, characteristic, complemented
8#31413C211yesmaximal, characteristic, complemented
9#31391C211yesmaximal, characteristic, complemented
10#31371C211yesmaximal, characteristic, complemented
11#31369C211yesmaximal, characteristic, complemented
12#30463C211yesmaximal, characteristic, complemented
13#30460C211yesmaximal, characteristic, complemented
14#30425C211yesmaximal, characteristic, complemented
15#30404C211yesmaximal, characteristic, complemented
16#29113C211yesmaximal, characteristic, complemented
17#27279C211yesmaximal, characteristic, complemented
18#27263C211yesmaximal, characteristic, complemented
19#26976C211yesmaximal, characteristic, complemented
20#26970C211yesmaximal, characteristic, complemented
21#26174C211yesmaximal, characteristic, complemented
22#26172C211yesmaximal, characteristic, complemented
23#25605C211yesmaximal, characteristic, complemented
24#24442C211yesmaximal, characteristic, complemented
25#24427C211yesmaximal, characteristic, complemented
26#24257C211yesmaximal, characteristic, complemented
27#24238C211yesmaximal, characteristic, complemented
28#23976C211yesmaximal, characteristic, complemented
29#23965C211yesmaximal, characteristic, complemented
30#23938C211yesmaximal, characteristic, complemented
31#22335C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#529C2211yescharacteristic, complemented
36C2×#496C2211yescharacteristic
37C2×#490C2211yescharacteristic
38C2×#470C2211yescharacteristic
39C2×#465C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#459C2211yescharacteristic
42C2×#452C2211yescharacteristic
43C2×#452C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic, complemented
46C2×#450C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#442C2211yescharacteristic
49C2×C4×SD16C2211yescharacteristic, complemented
50C2×#418C2211yescharacteristic
51C2×#416C2211yescharacteristic, complemented
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2715—21no—
55#2715—21no—
56#2673—21no—
57#2672—21no—
58#2672—21no—
59#2671—21no—
60#2669—21no—
61#2668—21no—
62#2661—21no—
63#2624—21no—
64#2602—21no—
65#2567C2211yescharacteristic, complemented
66#2539—21no—
67#2538C2211yescharacteristic
68#2537C2211yescharacteristic
69#2537C2211yescharacteristic, complemented
70#2485—21no—
71#2448C2211yescharacteristic
72#2445C2211yescharacteristic
73#2441C2211yescharacteristic
74#2441C2211yescharacteristic, complemented
75#2433C2211yescharacteristic
76#2431C2211yescharacteristic
77#2427C2211yescharacteristic
78#2427C2211yescharacteristic, complemented
79#2423C2211yescharacteristic
80#2422C2211yescharacteristic
81#2416—21no—
82#2415C2211yescharacteristic
83#2415C2211yescharacteristic, complemented
84#2414C2211yescharacteristic
85#2414C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88D4×C4⋊C4C2211yescharacteristic, complemented
89#2321—21no—
90#2316—21no—
91C4×#121C2211yescharacteristic
92#2297C2211yescharacteristic
93#2100C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2094C2211yescharacteristic
96#2094C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2084C2211yescharacteristic, complemented
101#2077C2211yescharacteristic
102#2077C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic
105#2071C2211yescharacteristic
106#2071C2211yescharacteristic, complemented
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic, complemented
109#2042C2211yescharacteristic
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic
113#2035C2211yescharacteristic
114#2035C2211yescharacteristic
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic
123#2024C2211yescharacteristic, complemented
124#2023C2211yescharacteristic
125#2023C2211yescharacteristic
126#2023C2211yescharacteristic, complemented
127#2015C2211yescharacteristic
128#2015C2211yescharacteristic, complemented
129#2014C2211yescharacteristic
130#2012C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic, complemented
141#1992C2211yescharacteristic, complemented
142#1959C2211yescharacteristic
143#1959C2211yescharacteristic, complemented
144#1957C2211yescharacteristic
145#1955C2211yescharacteristic
146#1954C2211yescharacteristic, complemented
147#1936C2211yescharacteristic
148#1936C2211yescharacteristic
149#1936C2211yescharacteristic, complemented
150#1935C2211yescharacteristic, complemented
151#1935C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic
154#1933C2211yescharacteristic, complemented
155#1924C2211yescharacteristic
156#1924C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic, complemented
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic
178#1875C2211yescharacteristic, complemented
179#1873C2211yescharacteristic
180#1873C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1825C2211yescharacteristic
190#1825C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1802C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1753C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#555—42no—
217#555—42no—
218#550—42no—
219#550—42no—
220#546—42no—
221#546—42no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×#127—21no—
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226#529—42no—
227#529—42no—
228C2×#126—21no—
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121D411yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117—21no—
276C2×#117—21no—
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C42C2311yescharacteristic
283#496—42no—
284#490—42no—
285#470—42no—
286#465—42no—
287#463—42no—
288#459—42no—
289#452—42no—
290#452—42no—
291#450—42no—
292#449—42no—
293#449—42no—
294#447—42no—
295#442—42no—
296C4×SD16—42no—
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#418—42no—
304#416—42no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351#399—21no—
352#399—21no—
353#399—21no—
354#399—21no—
355#398—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#395—21no—
367#395—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391—21no—
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390D411yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389—21no—
410#389—21no—
411#389—21no—
412#389—21no—
413#389—21no—
414#389—21no—
415#389—21no—
416#389D411yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388D411yescharacteristic
431#388D411yescharacteristic
432#387—21no—
433#387—21no—
434#387—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386D411yescharacteristic
444#386D411yescharacteristic
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#380—21no—
454#380—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380D411yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#379—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C22×Q8—21no—
516C22×Q8C2411yescharacteristic
517C22×Q8C2411yescharacteristic
518C22×D4—21no—
519C22×D4—22no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
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×C4C2×D411yescharacteristic
553C23×C4C2×D411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C2×Q16—22no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8—41no—
585C22×C8—41no—
586C22×C8—41no—
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C4⋊Q8—41no—
596C4⋊Q8—41no—
597#127—22no—
598#127—41no—
599#127—41no—
600#127—41no—
601#127—44no—
602#126—44no—
603#125—22no—
604#125—41no—
605#124—22no—
606#124—22no—
607#124—41no—
608#124—41no—
609#124—44no—
610#124—44no—
611#123—44no—
612#123—44no—
613#123—82no—
614#123—82no—
615C22⋊Q8—22no—
616C22⋊Q8—22no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—82no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—42no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—44no—
638#121—44no—
639#121—44no—
640#121—44no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—82no—
646#121—82no—
647#121—82no—
648#121—82no—
649#120—44no—
650#120—44no—
651#120—82no—
652#120—82no—
653C4×Q8—22no—
654C4×Q8—41no—
655C4×Q8—41no—
656C4×Q8—41no—
657C4×D4—22no—
658C4×D4—22no—
659C4×D4—22no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—44no—
672C4×D4—44no—
673#117—22no—
674#117—22no—
675#117—41no—
676#117—41no—
677#117—44no—
678#117—44no—
679#117—41no—
680#117—41no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—44no—
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
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—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—44no—
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42C2×D411yescharacteristic
780C2×C42C2×D411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785#106—41no—
786#106—41no—
787#106—41no—
788#106—41no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791#103—22no—
792#103—22no—
793#103—22no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
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—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833#97—41no—
834#97—41no—
835#97—41no—
836C4×C8—41no—
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—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—42no—
868C24—42no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—42no—
897C2×Q8—81no—
898C2×Q8—81no—
899C2×Q8H(5,𝔽2)12yes—
900C2×D4—24no—
901C2×D4—22no—
902C2×D4—22no—
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—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—44no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
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—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4H(5,𝔽2)12yes—
981C2×D4H(5,𝔽2)12yes—
982C22×C4—24no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—24no—
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—22no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C2511yescharacteristic
1048Q16—82no—
1049SD16—44no—
1050SD16—82no—
1051SD16—82no—
1052SD16—82no—
1053D8—44no—
1054D8—82no—
1055D8—82no—
1056M16—82no—
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—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—82no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
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—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4H(5,𝔽2)12yes—
1130C22⋊C4—24no—
1131C22⋊C4—22no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
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—
1180C22⋊C4—81no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—41no—
1190C42—41no—
1191C42—42no—
1192C42—42no—
1193C42—42no—
1194C42—42no—
1195C42—81no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—22no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—22no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
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—84no—
1246C23—84no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23—162no—
1252C23C23×D411yescharacteristic
1253Q8—22no—
1254Q8—22no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—162no—
1262D4—22no—
1263D4—22no—
1264D4—22no—
1265D4—22no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—82no—
1279D4—82no—
1280D4—84no—
1281D4—84no—
1282D4—82no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
1295D4—162no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—22no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—22no—
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—48no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
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—82no—
1377C2×C4—84no—
1378C2×C4—82no—
1379C2×C4—84no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4#57512yes—
1384C2×C4#57712yes—
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4#58511yescharacteristic
1390C2×C4#58511yescharacteristic
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—42no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—42no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—42no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—41no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—168no—
1449C22#348411yescharacteristic
1450C22#348411yescharacteristic
1451C22#350011yescharacteristic
1452C22C2×#57511yescharacteristic
1453C22C2×#57711yescharacteristic
1454C22#358511yescharacteristic
1455C22#358511yescharacteristic
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—42no—
1462C4—41no—
1463C4—41no—
1464C4—42no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4#353411yescharacteristic
1480C4#353411yescharacteristic
1481C4#354211yescharacteristic
1482C4#354211yescharacteristic
1483C2—81no—
1484C2—81no—
1485C2—81no—
1486C2—82no—
1487C2—82no—
1488C2—161no—
1489C2—161no—
1490C2#4635411yescharacteristic
1491C2#6157911yescharacteristic
1492C2#6160411yescharacteristic
1493C2#6165311yescharacteristic
1494C2#6168911yescharacteristic
1495C2#6258011yescharacteristic
1496C2#6261711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39957C2semidirect
2. #38922C2semidirect
3. #32773C2semidirect
4. #31735C2semidirect
5. #31721C2semidirect
6. #31652C2semidirect
7. #31638C2semidirect
8. #31413C2semidirect
9. #31391C2semidirect
10. #31371C2semidirect
11. #31369C2semidirect
12. #30463C2semidirect
13. #30460C2semidirect
14. #30425C2semidirect
15. #30404C2semidirect
16. #29113C2semidirect
17. #27279C2semidirect
18. #27263C2semidirect
19. #26976C2semidirect
20. #26970C2semidirect
21. #26174C2semidirect
22. #26172C2semidirect
23. #25605C2semidirect
24. #24442C2semidirect
25. #24427C2semidirect
26. #24257C2semidirect
27. #24238C2semidirect
28. #23976C2semidirect
29. #23965C2semidirect
30. #23938C2semidirect
31. #22335C2semidirect
35. C2×#529C22semidirect
43. C2×#452C22semidirect
45. C2×#449C22semidirect
49. C2×C4×SD16C22semidirect
51. C2×#416C22semidirect
52. #2857C22semidirect
65. #2567C22semidirect
69. #2537C22semidirect
74. #2441C22semidirect
78. #2427C22semidirect
83. #2415C22semidirect
88. D4×C4⋊C4C22semidirect
93. #2100C22semidirect
94. #2099C22semidirect
96. #2094C22semidirect
97. #2088C22semidirect
98. #2088C22semidirect
99. #2084C22semidirect
100. #2084C22semidirect
102. #2077C22semidirect
103. #2072C22semidirect
106. #2071C22semidirect
108. #2055C22semidirect
115. #2035C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2026C22semidirect
123. #2024C22semidirect
126. #2023C22semidirect
128. #2015C22semidirect
135. #2000C22semidirect
140. #1999C22semidirect
141. #1992C22semidirect
143. #1959C22semidirect
146. #1954C22semidirect
149. #1936C22semidirect
150. #1935C22semidirect
151. #1935C22semidirect
152. #1935C22semidirect
154. #1933C22semidirect
156. #1924C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
162. #1893C22semidirect
165. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
174. #1877C22semidirect
178. #1875C22semidirect
180. #1873C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
190. #1825C22semidirect
191. #1825C22semidirect
192. #1825C22semidirect
193. #1817C22semidirect
194. #1803C22semidirect
198. #1788C22semidirect
201. #1752C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#399572
#389222
#327732
#317352
#317212
#316522
#316382
#314132
#313912
#313712
#313692
#304632
#304602
#304252
#304042
#291132
#272792
#272632
#269762
#269702
#261742
#261722
#256052
#244422
#244272
#242572
#242382
#239762
#239652
#239382
#223352