Finite Group Databasebeta

← #7305127

Subgroups — #7305127

Order 512.

1867 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45263C211yesmaximal, characteristic, complemented
2#42760C211yesmaximal, characteristic, complemented
3#32175C211yesmaximal, characteristic, complemented
4#32045C211yesmaximal, characteristic, complemented
5#31503C211yesmaximal, characteristic, complemented
6#31300C211yesmaximal, characteristic, complemented
7#31276C211yesmaximal, characteristic, complemented
8#31057C211yesmaximal, characteristic, complemented
9#31029C211yesmaximal, characteristic, complemented
10#30916C211yesmaximal, characteristic, complemented
11#30887C211yesmaximal, characteristic, complemented
12#30524C211yesmaximal, characteristic, complemented
13#30505C211yesmaximal, characteristic, complemented
14#30398C211yesmaximal, characteristic, complemented
15#30037C211yesmaximal, characteristic, complemented
16#29632C211yesmaximal, characteristic, complemented
17#29424C211yesmaximal, characteristic, complemented
18#27074C211yesmaximal, characteristic, complemented
19#26940C211yesmaximal, characteristic, complemented
20#26891C211yesmaximal, characteristic, complemented
21#25889C211yesmaximal, characteristic, complemented
22#25162C211yesmaximal, characteristic, complemented
23#25081C211yesmaximal, characteristic, complemented
24#24436C211yesmaximal, characteristic, complemented
25#24377C211yesmaximal, characteristic, complemented
26#24245C211yesmaximal, characteristic, complemented
27#24218C211yesmaximal, characteristic, complemented
28#24040C211yesmaximal, characteristic, complemented
29#23871C211yesmaximal, characteristic, complemented
30#23871C211yesmaximal, characteristic, complemented
31#23328C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C2×#548C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#488C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#479C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#465C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#452C2211yescharacteristic
46C2×#452C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×D8C2211yescharacteristic
55C2×#416C2211yescharacteristic
56#2825—21no—
57#2765—21no—
58#2756—21no—
59#2753—21no—
60#2752—21no—
61#2681—21no—
62#2676—21no—
63#2670—21no—
64#2669—21no—
65#2649—21no—
66#2643—21no—
67#2625C2211yescharacteristic
68#2562C2211yescharacteristic
69#2548C2211yescharacteristic
70#2541C2211yescharacteristic
71#2535C2211yescharacteristic
72#2514C2211yescharacteristic, complemented
73#2510—21no—
74#2494C2211yescharacteristic, complemented
75#2489C2211yescharacteristic, complemented
76#2485C2211yescharacteristic, complemented
77#2472—21no—
78#2456—21no—
79#2454C2211yescharacteristic, complemented
80#2436C2211yescharacteristic
81#2431C2211yescharacteristic
82#2428—21no—
83#2428C2211yescharacteristic
84#2426C2211yescharacteristic
85#2424—21no—
86#2415C2211yescharacteristic
87#2408C2211yescharacteristic
88#2407C2211yescharacteristic
89#2407C2211yescharacteristic
90#2407C2211yescharacteristic, complemented
91#2392C2211yescharacteristic
92#2367C2211yescharacteristic
93#2363C2211yescharacteristic, complemented
94#2339C2211yescharacteristic, complemented
95#2324C2211yescharacteristic
96#2323C2211yescharacteristic
97#2097C2211yescharacteristic, complemented
98#2086C2211yescharacteristic, complemented
99#2077C2211yescharacteristic
100#2075C2211yescharacteristic
101#2073C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2056C2211yescharacteristic, complemented
107#2055C2211yescharacteristic
108#2054C2211yescharacteristic
109#2042C2211yescharacteristic
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic
115#2041C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic
118#2035C2211yescharacteristic
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2025C2211yescharacteristic
129#2025C2211yescharacteristic
130#2015C2211yescharacteristic
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2014C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic, complemented
147#1982C2211yescharacteristic
148#1970C2211yescharacteristic
149#1968C2211yescharacteristic
150#1968C2211yescharacteristic, complemented
151#1958C2211yescharacteristic
152#1954C2211yescharacteristic
153#1954C2211yescharacteristic
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1927C2211yescharacteristic, complemented
157#1926C2211yescharacteristic
158#1926C2211yescharacteristic, complemented
159#1925C2211yescharacteristic
160#1923C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1920C2211yescharacteristic, complemented
163#1919C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic, complemented
170#1892C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1818C2211yescharacteristic
192#1804C2211yescharacteristic
193#1798C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202C4×#103C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#137—42no—
209C2×#137—42no—
210C2×#137—42no—
211C22×Q16C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#548—42no—
224#548—42no—
225#548—42no—
226#548—42no—
227#546—42no—
228#546—42no—
229#535—42no—
230#535—42no—
231C2×#127—21no—
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#124—21no—
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#123—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C22×C22⋊C4—21no—
278#488—42no—
279#485—42no—
280#479—42no—
281#466—42no—
282#465—42no—
283#463—42no—
284#463—42no—
285#459—42no—
286#452—42no—
287#452—42no—
288#450—42no—
289#449—42no—
290#449—42no—
291#449—42no—
292#449—42no—
293#449—42no—
294#447—42no—
295C4×D8—42no—
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#416—42no—
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
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
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
353C2×C4×C8C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#401—21no—
356#401—21no—
357#400—21no—
358#400—21no—
359#400—21no—
360#400—21no—
361#399—21no—
362#398—21no—
363#398D411yescharacteristic
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397D411yescharacteristic
372#396—21no—
373#396—21no—
374#396D411yescharacteristic
375#396D411yescharacteristic
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394D411yescharacteristic
388#394D411yescharacteristic
389#394D411yescharacteristic
390#393—21no—
391#393—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#392—21no—
401#392—21no—
402#392D411yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
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#389C2311yescharacteristic
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#388—21no—
439#388—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#383—21no—
465#382—21no—
466#382C2311yescharacteristic
467#381—21no—
468#380—21no—
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#379—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C2×#95—21no—
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#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8—21no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—22no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575#137—416no—
576C2×Q16—22no—
577C2×Q16—22no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×M16—41no—
607C2×M16—41no—
608C2×M16—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#127—22no—
621#127—41no—
622#127—41no—
623#127—41no—
624#127—82no—
625#125—41no—
626#125—41no—
627#124—22no—
628#124—22no—
629#124—22no—
630#124—22no—
631#124—22no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—44no—
636#124—44no—
637#123—44no—
638C22⋊Q8—22no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—44no—
642C22⋊Q8—41no—
643C22⋊Q8—44no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—44no—
654#121—44no—
655#121—44no—
656#121—44no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—44no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—82no—
668#120—44no—
669#120—44no—
670#120—44no—
671#120—82no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×D4—22no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—44no—
689C4×D4—44no—
690#117—41no—
691#117—41no—
692#117—41no—
693#117—41no—
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—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
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—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—21no—
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786#107—22no—
787#107—41no—
788#107—41no—
789#106—22no—
790#106—41no—
791#106—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
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—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C4×C8—41no—
843C4×C8—41no—
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#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—42no—
884C24—42no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892C24C22×D411yescharacteristic
893#41—44no—
894#41—44no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—42no—
922C2×Q8—42no—
923C2×Q8—44no—
924C2×Q8—81no—
925C2×Q8—82no—
926C2×Q8—82no—
927C2×Q8—82no—
928C2×Q8H(5,𝔽2)12yes—
929C2×Q8H(5,𝔽2)12yes—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
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—82no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—82no—
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—
1009C2×D4—81no—
1010C2×D4H(5,𝔽2)12yes—
1011C2×D4H(5,𝔽2)12yes—
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—42no—
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×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C2511yescharacteristic
1075Q16—44no—
1076Q16—44no—
1077SD16—44no—
1078SD16—44no—
1079SD16—82no—
1080SD16—82no—
1081SD16—82no—
1082D8—44no—
1083D8—82no—
1084D8—82no—
1085M16—44no—
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—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—82no—
1111C4⋊C4—24no—
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—21no—
1128C4⋊C4—21no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4H(5,𝔽2)12yes—
1149C22⋊C4—24no—
1150C22⋊C4—24no—
1151C22⋊C4—24no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
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—41no—
1163C22⋊C4—41no—
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—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
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—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—42no—
1210C42—42no—
1211C42—81no—
1212C42—81no—
1213C42—81no—
1214C42—81no—
1215C23—21no—
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—22no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—22no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
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—84no—
1265C23—84no—
1266C23—162no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23C23×D411yescharacteristic
1272Q8—22no—
1273Q8—22no—
1274Q8—22no—
1275Q8—22no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—84no—
1285D4—22no—
1286D4—22no—
1287D4—22no—
1288D4—22no—
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—82no—
1302D4—82no—
1303D4—82no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—84no—
1308D4—84no—
1309D4—84no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
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—22no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
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—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—84no—
1401C2×C4—84no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—162no—
1405C2×C4—162no—
1406C2×C4—162no—
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4C2×H(5,𝔽2)11yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4C2×H(5,𝔽2)11yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4#58511yescharacteristic
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C8—41no—
1421C22—41no—
1422C22—41no—
1423C22—42no—
1424C22—41no—
1425C22—41no—
1426C22—42no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—42no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
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—81no—
1468C22—81no—
1469C22—81no—
1470C22—168no—
1471C22#348411yescharacteristic
1472C22#348411yescharacteristic
1473C22#348811yescharacteristic
1474C22#358411yescharacteristic
1475C22#358411yescharacteristic
1476C22#358411yescharacteristic
1477C22#358511yescharacteristic
1478C4—41no—
1479C4—41no—
1480C4—42no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—42no—
1489C4—42no—
1490C4—41no—
1491C4—41no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4#353211yescharacteristic
1502C4#353411yescharacteristic
1503C4#353711yescharacteristic
1504C4#355811yescharacteristic
1505C2—81no—
1506C2—81no—
1507C2—81no—
1508C2—82no—
1509C2—82no—
1510C2—161no—
1511C2—161no—
1512C2#4783811yescharacteristic
1513C2#6162511yescharacteristic
1514C2#6162811yescharacteristic
1515C2#6163711yescharacteristic
1516C2#6166311yescharacteristic
1517C2#6204711yescharacteristic
1518C2#6206011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45263C2semidirect
2. #42760C2semidirect
3. #32175C2semidirect
4. #32045C2semidirect
5. #31503C2semidirect
6. #31300C2semidirect
7. #31276C2semidirect
8. #31057C2semidirect
9. #31029C2semidirect
10. #30916C2semidirect
11. #30887C2semidirect
12. #30524C2semidirect
13. #30505C2semidirect
14. #30398C2semidirect
15. #30037C2semidirect
16. #29632C2semidirect
17. #29424C2semidirect
18. #27074C2semidirect
19. #26940C2semidirect
20. #26891C2semidirect
21. #25889C2semidirect
22. #25162C2semidirect
23. #25081C2semidirect
24. #24436C2semidirect
25. #24377C2semidirect
26. #24245C2semidirect
27. #24218C2semidirect
28. #24040C2semidirect
29. #23871C2semidirect
30. #23871C2semidirect
31. #23328C2semidirect
32. C22×#137C22semidirect
37. C2×#488C22semidirect
38. C2×#485C22semidirect
39. C2×#479C22semidirect
40. C2×#466C22semidirect
51. C2×#449C22semidirect
72. #2514C22semidirect
74. #2494C22semidirect
75. #2489C22semidirect
76. #2485C22semidirect
79. #2454C22semidirect
90. #2407C22semidirect
93. #2363C22semidirect
94. #2339C22semidirect
97. #2097C22semidirect
98. #2086C22semidirect
101. #2073C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
104. #2067C22semidirect
105. #2056C22semidirect
106. #2056C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
127. #2033C22semidirect
133. #2015C22semidirect
137. #2012C22semidirect
140. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
146. #1983C22semidirect
150. #1968C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1927C22semidirect
158. #1926C22semidirect
160. #1923C22semidirect
161. #1923C22semidirect
162. #1920C22semidirect
163. #1919C22semidirect
164. #1918C22semidirect
165. #1916C22semidirect
166. #1916C22semidirect
169. #1895C22semidirect
170. #1892C22semidirect
171. #1880C22semidirect
172. #1880C22semidirect
173. #1879C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
180. #1875C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
187. #1864C22semidirect
188. #1863C22semidirect
189. #1851C22semidirect
190. #1850C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
202. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#452632
#427602
#321752
#320452
#315032
#313002
#312762
#310572
#310292
#309162
#308872
#305242
#305052
#303982
#300372
#296322
#294242
#270742
#269402
#268912
#258892
#251622
#250812
#244362
#243772
#242452
#242182
#240402
#238712
#233282