Finite Group Databasebeta

← #6699083

Subgroups — #6699083

Order 512.

1881 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42539C211yesmaximal, characteristic, complemented
2#36018C211yesmaximal, characteristic, complemented
3#33015C211yesmaximal, characteristic, complemented
4#32177C211yesmaximal, characteristic, complemented
5#32024C211yesmaximal, characteristic, complemented
6#31399C211yesmaximal, characteristic, complemented
7#31335C211yesmaximal, characteristic, complemented
8#31196C211yesmaximal, characteristic, complemented
9#31020C211yesmaximal, characteristic, complemented
10#30887C211yesmaximal, characteristic, complemented
11#30424C211yesmaximal, characteristic, complemented
12#30329C211yesmaximal, characteristic, complemented
13#30118C211yesmaximal, characteristic, complemented
14#29069C211yesmaximal, characteristic, complemented
15#28926C211yesmaximal, characteristic, complemented
16#27564C211yesmaximal, characteristic, complemented
17#27530C211yesmaximal, characteristic, complemented
18#27236C211yesmaximal, characteristic, complemented
19#26625C211yesmaximal, characteristic, complemented
20#26375C211yesmaximal, characteristic, complemented
21#25889C211yesmaximal, characteristic, complemented
22#25152C211yesmaximal, characteristic, complemented
23#24441C211yesmaximal, characteristic, complemented
24#24244C211yesmaximal, characteristic, complemented
25#24045C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#22863C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#22332C211yesmaximal, characteristic, complemented
31#21462C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#548C2211yescharacteristic, complemented
36C2×#519C2211yescharacteristic, complemented
37C2×#488C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic
40C2×#479C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#448C2211yescharacteristic
46C2×#448C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#440C2211yescharacteristic
50C2×C4×SD16C2211yescharacteristic
51C2×C4×SD16C2211yescharacteristic
52C2×#417C2211yescharacteristic, complemented
53#2827—21no—
54#2756—21no—
55#2749—21no—
56#2735—21no—
57#2678—21no—
58#2635—21no—
59#2624C2211yescharacteristic
60#2622—21no—
61#2619—21no—
62#2619C2211yescharacteristic, complemented
63#2562C2211yescharacteristic
64#2548—21no—
65#2548C2211yescharacteristic, complemented
66#2536—21no—
67#2536C2211yescharacteristic
68#2535C2211yescharacteristic
69#2513C2211yescharacteristic
70#2495C2211yescharacteristic
71#2490C2211yescharacteristic
72#2486C2211yescharacteristic
73#2454C2211yescharacteristic
74#2426—21no—
75#2426—21no—
76#2426C2211yescharacteristic
77#2426C2211yescharacteristic, complemented
78#2418—21no—
79#2416C2211yescharacteristic
80#2414—21no—
81#2414—21no—
82#2414C2211yescharacteristic
83#2414C2211yescharacteristic, complemented
84#2408C2211yescharacteristic
85#2408C2211yescharacteristic
86#2392—21no—
87#2392C2211yescharacteristic
88#2361C2211yescharacteristic
89#2351C2211yescharacteristic, complemented
90#2341C2211yescharacteristic
91#2341C2211yescharacteristic, complemented
92D4×C22⋊C4C2211yescharacteristic
93#2324C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2092C2211yescharacteristic
97#2085C2211yescharacteristic, complemented
98#2076C2211yescharacteristic
99#2075C2211yescharacteristic
100#2075C2211yescharacteristic, complemented
101#2073C2211yescharacteristic
102#2073C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2065C2211yescharacteristic
106#2059C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2042C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2036C2211yescharacteristic
112#2035C2211yescharacteristic
113#2035C2211yescharacteristic, complemented
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2012C2211yescharacteristic
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic
125#2011C2211yescharacteristic
126#2011C2211yescharacteristic
127#2000C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1983C2211yescharacteristic, complemented
135#1972C2211yescharacteristic
136#1970C2211yescharacteristic
137#1970C2211yescharacteristic
138#1970C2211yescharacteristic
139#1958C2211yescharacteristic, complemented
140#1954C2211yescharacteristic
141#1954C2211yescharacteristic, complemented
142#1941C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1934C2211yescharacteristic
145#1934C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1925C2211yescharacteristic, complemented
148#1925C2211yescharacteristic, complemented
149#1923C2211yescharacteristic
150#1923C2211yescharacteristic, complemented
151#1919C2211yescharacteristic, complemented
152#1916C2211yescharacteristic, complemented
153#1916C2211yescharacteristic, complemented
154#1895C2211yescharacteristic
155#1895C2211yescharacteristic
156#1895C2211yescharacteristic, complemented
157#1894C2211yescharacteristic
158#1880C2211yescharacteristic
159#1880C2211yescharacteristic
160#1880C2211yescharacteristic
161#1880C2211yescharacteristic
162#1880C2211yescharacteristic
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1875C2211yescharacteristic
171#1872C2211yescharacteristic, complemented
172#1870C2211yescharacteristic
173#1870C2211yescharacteristic
174#1870C2211yescharacteristic
175#1870C2211yescharacteristic, complemented
176#1865C2211yescharacteristic, complemented
177#1865C2211yescharacteristic, complemented
178#1865C2211yescharacteristic, complemented
179#1863C2211yescharacteristic, complemented
180#1863C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1862C2211yescharacteristic
184#1854C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1818C2211yescharacteristic, complemented
188#1809C2211yescharacteristic
189#1805C2211yescharacteristic, complemented
190#1788C2211yescharacteristic
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic, complemented
194#1787C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1763C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220#550—42no—
221#550—42no—
222#548—42no—
223#548—42no—
224#548—42no—
225#548—42no—
226C2×#127—21no—
227C2×#127C2311yescharacteristic
228C2×#125C2311yescharacteristic
229C2×#124—21no—
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#123—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#120—21no—
252C2×#120—21no—
253#519—42no—
254#519—42no—
255C2×C4×Q8—21no—
256C2×C4×Q8—21no—
257C2×C4×Q8C2311yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×Q8C2311yescharacteristic
260C2×C4×Q8C2311yescharacteristic
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117—21no—
273C2×#117—21no—
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C22⋊C4—21no—
278#488—42no—
279#482—42no—
280#481—42no—
281#479—42no—
282#468—42no—
283#463—42no—
284#450—42no—
285#449—24no—
286#449—42no—
287#448—24no—
288#448—42no—
289#447—42no—
290#440—42no—
291C4×SD16—42no—
292C4×SD16—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#417—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#400—21no—
351#400—21no—
352#399—21no—
353#399—21no—
354#398—21no—
355#398—21no—
356#398D411yescharacteristic
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397D411yescharacteristic
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396D411yescharacteristic
370#396D411yescharacteristic
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#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394D411yescharacteristic
388#394D411yescharacteristic
389#394D411yescharacteristic
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392D411yescharacteristic
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
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#389C2311yescharacteristic
427#389C2311yescharacteristic
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#388—21no—
441#388—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#383—21no—
453#382—21no—
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379—21no—
470#379—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
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—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—21no—
521C22×Q8—22no—
522C22×Q8—22no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—22no—
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—21no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562AGL(1,ℤ/8)—416no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16#4114yes—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×M16—22no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601#127—41no—
602#127—41no—
603#127—44no—
604#125—41no—
605#125—41no—
606#124—22no—
607#124—22no—
608#124—41no—
609#124—41no—
610#124—44no—
611#124—44no—
612#123—82no—
613C22⋊Q8—22no—
614C22⋊Q8—22no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—44no—
618C22⋊Q8—44no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—44no—
632#121—44no—
633#121—44no—
634#121—44no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—82no—
640#120—82no—
641#120—82no—
642C4×Q8—22no—
643C4×Q8—22no—
644C4×Q8—22no—
645C4×Q8—22no—
646C4×Q8—22no—
647C4×Q8—22no—
648C4×Q8—41no—
649C4×Q8—41no—
650C4×Q8—41no—
651C4×Q8—41no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×Q8—44no—
655C4×Q8—44no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—44no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—44no—
668C4×D4—44no—
669C4×D4—82no—
670#117—22no—
671#117—41no—
672#117—41no—
673#117—44no—
674#117—41no—
675#117—44no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
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—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—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—82no—
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783#107—41no—
784#107—41no—
785#107—41no—
786#107—41no—
787#106—22no—
788#106—22no—
789#106—41no—
790#106—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—41no—
803#103—41no—
804#103—41no—
805#102—22no—
806#102—22no—
807#102—22no—
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—
823#102—41no—
824#102—41no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835#97—41no—
836C4×C8—41no—
837C4×C8—41no—
838C4×C8—41no—
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#95—21no—
858#95—21no—
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—42no—
870C24—42no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878C24C22×D411yescharacteristic
879#41—44no—
880#41—44no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
886#41—82no—
887C2×Q8—24no—
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—42no—
898C2×Q8—44no—
899C2×Q8—44no—
900C2×Q8—44no—
901C2×Q8—44no—
902C2×Q8C2×#4112yes—
903C2×Q8H(5,𝔽2)12yes—
904C2×Q8H(5,𝔽2)12yes—
905C2×Q8H(5,𝔽2)12yes—
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—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—42no—
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—42no—
949C2×D4—44no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—82no—
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×D4—81no—
981C2×D4C2×#4112yes—
982C22×C4—21no—
983C22×C4—24no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C2511yescharacteristic
1042SD16—28no—
1043SD16—44no—
1044SD16—44no—
1045SD16—82no—
1046D8—44no—
1047D8—44no—
1048D8—82no—
1049D8—82no—
1050M16—44no—
1051M16—82no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8C2×#4112yes—
1076C4⋊C4—24no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4H(5,𝔽2)12yes—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C42—24no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—42no—
1187C42—42no—
1188C42—42no—
1189C42—42no—
1190C42—42no—
1191C42—42no—
1192C42—81no—
1193C42—81no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—22no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—84no—
1244C23—84no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23C23×D411yescharacteristic
1251Q8—22no—
1252Q8—22no—
1253Q8—22no—
1254Q8—22no—
1255Q8—22no—
1256Q8—48no—
1257Q8—41no—
1258Q8—41no—
1259Q8#53814yes—
1260D4—22no—
1261D4—22no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—84no—
1277D4—84no—
1278D4—82no—
1279D4—82no—
1280D4—82no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—21no—
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—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—22no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—22no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—48no—
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—84no—
1375C2×C4—84no—
1376C2×C4—162no—
1377C2×C4—162no—
1378C2×C4—162no—
1379C2×C4C22×#4111yescharacteristic
1380C2×C4C2×H(5,𝔽2)11yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4C2×H(5,𝔽2)11yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4#58511yescharacteristic
1385C8—22no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—42no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
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—168no—
1443C22D4×#4111yescharacteristic
1444C22#348411yescharacteristic
1445C22#348411yescharacteristic
1446C22#358411yescharacteristic
1447C22#358411yescharacteristic
1448C22#358511yescharacteristic
1449C22#358511yescharacteristic
1450C4—24no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—42no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4C2×#53811yescharacteristic
1474C4#351911yescharacteristic
1475C4#353411yescharacteristic
1476C4#354211yescharacteristic
1477C2—81no—
1478C2—81no—
1479C2—81no—
1480C2—82no—
1481C2—161no—
1482C2—161no—
1483C2—161no—
1484C2#3772011yescharacteristic
1485C2#6153511yescharacteristic
1486C2#6154711yescharacteristic
1487C2#6161611yescharacteristic
1488C2#6161611yescharacteristic
1489C2#6165111yescharacteristic
1490C2#6166311yescharacteristic
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. #42539C2semidirect
2. #36018C2semidirect
3. #33015C2semidirect
4. #32177C2semidirect
5. #32024C2semidirect
6. #31399C2semidirect
7. #31335C2semidirect
8. #31196C2semidirect
9. #31020C2semidirect
10. #30887C2semidirect
11. #30424C2semidirect
12. #30329C2semidirect
13. #30118C2semidirect
14. #29069C2semidirect
15. #28926C2semidirect
16. #27564C2semidirect
17. #27530C2semidirect
18. #27236C2semidirect
19. #26625C2semidirect
20. #26375C2semidirect
21. #25889C2semidirect
22. #25152C2semidirect
23. #24441C2semidirect
24. #24244C2semidirect
25. #24045C2semidirect
26. #23869C2semidirect
27. #23866C2semidirect
28. #22863C2semidirect
29. #22443C2semidirect
30. #22332C2semidirect
31. #21462C2semidirect
35. C2×#548C22semidirect
36. C2×#519C22semidirect
37. C2×#488C22semidirect
38. C2×#481C22semidirect
40. C2×#479C22semidirect
52. C2×#417C22semidirect
62. #2619C22semidirect
65. #2548C22semidirect
77. #2426C22semidirect
83. #2414C22semidirect
89. #2351C22semidirect
91. #2341C22semidirect
94. #2101C22semidirect
95. #2101C22semidirect
97. #2085C22semidirect
100. #2075C22semidirect
102. #2073C22semidirect
103. #2067C22semidirect
106. #2059C22semidirect
108. #2042C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
113. #2035C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2025C22semidirect
134. #1983C22semidirect
139. #1958C22semidirect
141. #1954C22semidirect
142. #1941C22semidirect
143. #1936C22semidirect
145. #1934C22semidirect
146. #1926C22semidirect
147. #1925C22semidirect
148. #1925C22semidirect
150. #1923C22semidirect
151. #1919C22semidirect
152. #1916C22semidirect
153. #1916C22semidirect
156. #1895C22semidirect
171. #1872C22semidirect
175. #1870C22semidirect
176. #1865C22semidirect
177. #1865C22semidirect
178. #1865C22semidirect
179. #1863C22semidirect
180. #1863C22semidirect
181. #1863C22semidirect
182. #1863C22semidirect
184. #1854C22semidirect
185. #1852C22semidirect
186. #1825C22semidirect
187. #1818C22semidirect
189. #1805C22semidirect
193. #1788C22semidirect
194. #1787C22semidirect
195. #1787C22semidirect
197. #1763C22semidirect
198. C4×#103C22semidirect
199. C4×#103C22semidirect
201. #1753C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#425392
#360182
#330152
#321772
#320242
#313992
#313352
#311962
#310202
#308872
#304242
#303292
#301182
#290692
#289262
#275642
#275302
#272362
#266252
#263752
#258892
#251522
#244412
#242442
#240452
#238692
#238662
#228632
#224432
#223322
#214622