Finite Group Databasebeta

← #7055469

Subgroups — #7055469

Order 512.

1909 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44913C211yesmaximal, characteristic, complemented
2#42963C211yesmaximal, characteristic, complemented
3#32119C211yesmaximal, characteristic, complemented
4#32051C211yesmaximal, characteristic, complemented
5#31850C211yesmaximal, characteristic, complemented
6#31728C211yesmaximal, characteristic, complemented
7#31403C211yesmaximal, characteristic, complemented
8#30719C211yesmaximal, characteristic, complemented
9#30719C211yesmaximal, characteristic, complemented
10#30592C211yesmaximal, characteristic, complemented
11#29005C211yesmaximal, characteristic, complemented
12#28916C211yesmaximal, characteristic, complemented
13#28557C211yesmaximal, characteristic, complemented
14#27264C211yesmaximal, characteristic, complemented
15#26930C211yesmaximal, characteristic, complemented
16#26741C211yesmaximal, characteristic, complemented
17#26019C211yesmaximal, characteristic, complemented
18#25583C211yesmaximal, characteristic, complemented
19#25555C211yesmaximal, characteristic, complemented
20#25402C211yesmaximal, characteristic, complemented
21#24865C211yesmaximal, characteristic, complemented
22#24568C211yesmaximal, characteristic, complemented
23#24397C211yesmaximal, characteristic, complemented
24#24370C211yesmaximal, characteristic, complemented
25#24277C211yesmaximal, characteristic, complemented
26#23965C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#22849C211yesmaximal, characteristic, complemented
29#22565C211yesmaximal, characteristic, complemented
30#22503C211yesmaximal, characteristic, complemented
31#21770C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#555C2211yescharacteristic
34C2×#552C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#490C2211yescharacteristic
38C2×#481C2211yescharacteristic
39C2×#481C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#469C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic
43C2×#465C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic
45C2×#460C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#436C2211yescharacteristic
48C2×#435C2211yescharacteristic, complemented
49C2×#416C2211yescharacteristic
50C22×#102C2211yescharacteristic
51C2×#408C2211yescharacteristic
52C2×#408C2211yescharacteristic
53#2819—21no—
54#2711—21no—
55#2704—21no—
56#2691—21no—
57#2671—21no—
58#2670—21no—
59#2670—21no—
60#2669—21no—
61#2669—21no—
62#2657—21no—
63#2619—21no—
64#2615C2211yescharacteristic
65#2610—21no—
66#2559—21no—
67#2541C2211yescharacteristic
68#2541C2211yescharacteristic
69#2536C2211yescharacteristic, complemented
70#2500C2211yescharacteristic, complemented
71#2491C2211yescharacteristic
72#2491C2211yescharacteristic
73#2490C2211yescharacteristic, complemented
74#2477—21no—
75#2464—21no—
76#2442C2211yescharacteristic
77#2433C2211yescharacteristic
78#2428C2211yescharacteristic
79#2428C2211yescharacteristic
80#2423C2211yescharacteristic, complemented
81#2416C2211yescharacteristic, complemented
82#2416C2211yescharacteristic, complemented
83#2414—21no—
84#2414C2211yescharacteristic
85#2414C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88#2388C2211yescharacteristic
89#2360C2211yescharacteristic, complemented
90D4×C4⋊C4C2211yescharacteristic
91#2346C2211yescharacteristic
92#2341C2211yescharacteristic
93#2311C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2094C2211yescharacteristic
96#2088C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2073C2211yescharacteristic
101#2071C2211yescharacteristic
102#2059C2211yescharacteristic, complemented
103#2055C2211yescharacteristic
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic
107#2041C2211yescharacteristic
108#2041C2211yescharacteristic
109#2035C2211yescharacteristic, complemented
110#2034C2211yescharacteristic
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2025C2211yescharacteristic
116#2024C2211yescharacteristic, complemented
117#2023C2211yescharacteristic, complemented
118#2011C2211yescharacteristic
119#2011C2211yescharacteristic
120#2000C2211yescharacteristic
121#2000C2211yescharacteristic
122#2000C2211yescharacteristic
123#2000C2211yescharacteristic
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic, complemented
126#2000C2211yescharacteristic, complemented
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1990C2211yescharacteristic, complemented
135#1989C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1970C2211yescharacteristic
138#1968C2211yescharacteristic
139#1961C2211yescharacteristic
140#1955C2211yescharacteristic, complemented
141#1949C2211yescharacteristic, complemented
142#1936C2211yescharacteristic
143#1936C2211yescharacteristic
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1926C2211yescharacteristic
147#1926C2211yescharacteristic
148#1926C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1919C2211yescharacteristic, complemented
153#1919C2211yescharacteristic, complemented
154#1895C2211yescharacteristic
155#1895C2211yescharacteristic
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic, complemented
158#1894C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1879C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1865C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1853C2211yescharacteristic
184#1851C2211yescharacteristic
185#1850C2211yescharacteristic, complemented
186#1825C2211yescharacteristic
187#1825C2211yescharacteristic
188#1825C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1809C2211yescharacteristic
191#1807C2211yescharacteristic
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1763C2211yescharacteristic, complemented
197#1763C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199#1753C2211yescharacteristic, complemented
200#1752C2211yescharacteristic
201#1736C2211yescharacteristic
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#555—24no—
221#555—42no—
222#552—42no—
223#552—42no—
224#537—42no—
225#537—42no—
226#535—24no—
227#535—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×#127—21no—
230C2×#127—21no—
231C2×#127—21no—
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#126—21no—
235C2×#125—21no—
236C2×#125C2311yescharacteristic
237C2×#124—21no—
238C2×#124—21no—
239C2×#124—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#123—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×D4—21no—
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×#117—21no—
281C2×#117—21no—
282C2×#117C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288#490—42no—
289#481—42no—
290#481—42no—
291#469—42no—
292#469—42no—
293#468—42no—
294#465—42no—
295#460—42no—
296#460—42no—
297#449—42no—
298#436—42no—
299#435—42no—
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309#416—24no—
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#102—42no—
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×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339#408—42no—
340#408—42no—
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×#97C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#400—21no—
356#399—21no—
357#398—21no—
358#398—21no—
359#398—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#395D411yescharacteristic
364#394—21no—
365#394—21no—
366#394—21no—
367#394—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#394D411yescharacteristic
379#394D411yescharacteristic
380#394D411yescharacteristic
381#393—21no—
382#393—21no—
383#393—21no—
384#393D411yescharacteristic
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392D411yescharacteristic
401#392D411yescharacteristic
402#392D411yescharacteristic
403#391—21no—
404#391C2311yescharacteristic
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#389—21no—
421#389—21no—
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#387—21no—
439#387—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#384C2311yescharacteristic
453#382—21no—
454#382C2311yescharacteristic
455#380—21no—
456#380—21no—
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474#376—21no—
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#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8—21no—
519C22×Q8C2×D411yescharacteristic
520C22×Q8C2411yescharacteristic
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—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565AGL(1,ℤ/8)—416no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×D8—22no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—22no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C22×C8—22no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C4⋊Q8—22no—
608C4⋊Q8—41no—
609#127—41no—
610#127—41no—
611#127—41no—
612#127—41no—
613#127—44no—
614#127—82no—
615#127—82no—
616#126—44no—
617#125—22no—
618#125—41no—
619#125—44no—
620#124—44no—
621#124—44no—
622#124—44no—
623#124—82no—
624#124—82no—
625#123—44no—
626C22⋊Q8—22no—
627C22⋊Q8—22no—
628C22⋊Q8—22no—
629C22⋊Q8—22no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—44no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—44no—
642#121—44no—
643#121—44no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—44no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—82no—
664#121—82no—
665#121—82no—
666#121—82no—
667#120—44no—
668#120—44no—
669#120—82no—
670#120—82no—
671#120—82no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×D4—22no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—82no—
685#117—22no—
686#117—22no—
687#117—44no—
688#117—41no—
689#117—41no—
690#117—41no—
691#117—44no—
692#117#4114yes—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—22no—
695C2×C4⋊C4—22no—
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—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
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—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795#107—41no—
796#106—22no—
797#106—22no—
798#106—41no—
799#106—41no—
800#106—41no—
801C4⋊C8—22no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—41no—
808#103—41no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843#97—41no—
844#97—41no—
845C4×C8—41no—
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#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886#41—44no—
887#41—44no—
888#41—82no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894C2×Q8—22no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—41no—
901C2×Q8—41no—
902C2×Q8—42no—
903C2×Q8—81no—
904C2×Q8—81no—
905C2×Q8H(5,𝔽2)12yes—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—22no—
909C2×D4—22no—
910C2×D4—22no—
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—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—41no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—82no—
965C2×D4—82no—
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×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C2×#4112yes—
1069C22×C4H(5,𝔽2)12yes—
1070C22×C4C2511yescharacteristic
1071SD16—44no—
1072SD16—44no—
1073SD16—82no—
1074D8—44no—
1075D8—44no—
1076D8—82no—
1077M16—44no—
1078M16—82no—
1079M16—82no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—82no—
1104C2×C8—82no—
1105C2×C8H(5,𝔽2)12yes—
1106C4⋊C4—24no—
1107C4⋊C4—22no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4C2×#4112yes—
1146C4⋊C4C2×#4112yes—
1147C4⋊C4H(5,𝔽2)12yes—
1148C22⋊C4—24no—
1149C22⋊C4—24no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C42—24no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—42no—
1210C42—42no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42—81no—
1215C42—81no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—84no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23#54612yes—
1279C23C23×D411yescharacteristic
1280Q8—22no—
1281Q8—22no—
1282Q8—41no—
1283Q8—41no—
1284Q8—82no—
1285Q8—162no—
1286D4—44no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—82no—
1304D4—84no—
1305D4—82no—
1306D4—82no—
1307D4—84no—
1308D4—82no—
1309D4—82no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325D4—162no—
1326D4—162no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
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—22no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
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—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—162no—
1411C2×C4—162no—
1412C2×C4#54612yes—
1413C2×C4#57712yes—
1414C2×C4C22×#4111yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4#58511yescharacteristic
1420C8—22no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—168no—
1485C22C2×#54611yescharacteristic
1486C22#348411yescharacteristic
1487C22#349611yescharacteristic
1488C22C2×#57711yescharacteristic
1489C22#358511yescharacteristic
1490C22#358511yescharacteristic
1491C22#358511yescharacteristic
1492C4—22no—
1493C4—22no—
1494C4—42no—
1495C4—41no—
1496C4—42no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—42no—
1502C4—41no—
1503C4—41no—
1504C4—42no—
1505C4—41no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4#349411yescharacteristic
1515C4#350811yescharacteristic
1516C4#353211yescharacteristic
1517C4#354211yescharacteristic
1518C2—42no—
1519C2—81no—
1520C2—81no—
1521C2—81no—
1522C2—161no—
1523C2—161no—
1524C2—161no—
1525C2—161no—
1526C2#4388711yescharacteristic
1527C2#6119211yescharacteristic
1528C2#6122311yescharacteristic
1529C2#6165311yescharacteristic
1530C2#6168211yescharacteristic
1531C2#6229011yescharacteristic
1532C2#6234611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44913C2semidirect
2. #42963C2semidirect
3. #32119C2semidirect
4. #32051C2semidirect
5. #31850C2semidirect
6. #31728C2semidirect
7. #31403C2semidirect
8. #30719C2semidirect
9. #30719C2semidirect
10. #30592C2semidirect
11. #29005C2semidirect
12. #28916C2semidirect
13. #28557C2semidirect
14. #27264C2semidirect
15. #26930C2semidirect
16. #26741C2semidirect
17. #26019C2semidirect
18. #25583C2semidirect
19. #25555C2semidirect
20. #25402C2semidirect
21. #24865C2semidirect
22. #24568C2semidirect
23. #24397C2semidirect
24. #24370C2semidirect
25. #24277C2semidirect
26. #23965C2semidirect
27. #23393C2semidirect
28. #22849C2semidirect
29. #22565C2semidirect
30. #22503C2semidirect
31. #21770C2semidirect
34. C2×#552C22semidirect
39. C2×#481C22semidirect
41. C2×#469C22semidirect
43. C2×#465C22semidirect
48. C2×#435C22semidirect
69. #2536C22semidirect
70. #2500C22semidirect
73. #2490C22semidirect
80. #2423C22semidirect
81. #2416C22semidirect
82. #2416C22semidirect
89. #2360C22semidirect
94. #2101C22semidirect
96. #2088C22semidirect
97. #2088C22semidirect
98. #2077C22semidirect
99. #2077C22semidirect
102. #2059C22semidirect
109. #2035C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
114. #2033C22semidirect
116. #2024C22semidirect
117. #2023C22semidirect
125. #2000C22semidirect
126. #2000C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1990C22semidirect
135. #1989C22semidirect
136. #1987C22semidirect
140. #1955C22semidirect
141. #1949C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
148. #1926C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1919C22semidirect
153. #1919C22semidirect
157. #1895C22semidirect
158. #1894C22semidirect
162. #1893C22semidirect
165. #1879C22semidirect
166. #1877C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
175. #1874C22semidirect
176. #1873C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
180. #1865C22semidirect
181. #1865C22semidirect
182. #1854C22semidirect
185. #1850C22semidirect
188. #1825C22semidirect
189. #1823C22semidirect
192. #1802C22semidirect
196. #1763C22semidirect
197. #1763C22semidirect
198. C4×#102C22semidirect
199. #1753C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#449132
#429632
#321192
#320512
#318502
#317282
#314032
#307192
#305922
#290052
#289162
#285572
#272642
#269302
#267412
#260192
#255832
#255552
#254022
#248652
#245682
#243972
#243702
#242772
#239652
#233932
#228492
#225652
#225032
#217702