Finite Group Databasebeta

← #7019294

Subgroups — #7019294

Order 512.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1485 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45105C211yesmaximal, characteristic, complemented
2#44915C211yesmaximal, characteristic, complemented
3#32072C211yesmaximal, characteristic, complemented
4#32051C211yesmaximal, characteristic, complemented
5#31958C211yesmaximal, characteristic, complemented
6#31948C211yesmaximal, characteristic, complemented
7#31204C211yesmaximal, characteristic, complemented
8#31196C211yesmaximal, characteristic, complemented
9#30566C211yesmaximal, characteristic, complemented
10#30561C211yesmaximal, characteristic, complemented
11#28783C211yesmaximal, characteristic, complemented
12#26811C211yesmaximal, characteristic, complemented
13#26801C211yesmaximal, characteristic, complemented
14#26568C211yesmaximal, characteristic, complemented
15#26554C211yesmaximal, characteristic, complemented
16#25958C211yesmaximal, characteristic, complemented
17#25953C211yesmaximal, characteristic, complemented
18#25543C211yesmaximal, characteristic, complemented
19#25537C211yesmaximal, characteristic, complemented
20#24865C211yesmaximal, characteristic, complemented
21#24862C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24138C211yesmaximal, characteristic, complemented
24#24118C211yesmaximal, characteristic, complemented
25#24015C211yesmaximal, characteristic, complemented
26#24012C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#22711C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#22037C211yesmaximal, characteristic, complemented
31#21946C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×#553C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#481C2211yescharacteristic
38C2×#481C2211yescharacteristic, complemented
39C2×#481C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#483C2211yescharacteristic, complemented
43C2×#479C2211yescharacteristic, complemented
44C2×#476C2211yescharacteristic
45C2×#466C2211yescharacteristic
46C2×#465C2211yescharacteristic
47C2×#440C2211yescharacteristic
48C2×C4×SD16C2211yescharacteristic
49C2×#435C2211yescharacteristic
50C2×#416C2211yescharacteristic
51C22×#102C2211yescharacteristic
52C2×#408C2211yescharacteristic
53#2715—21no—
54#2711—21no—
55#2709—21no—
56#2692—21no—
57#2685—21no—
58#2681—21no—
59#2672—21no—
60#2668—21no—
61#2556—21no—
62#2540—21no—
63#2538C2211yescharacteristic, complemented
64#2537C2211yescharacteristic
65#2534—21no—
66#2501C2211yescharacteristic, complemented
67#2500C2211yescharacteristic
68#2491C2211yescharacteristic, complemented
69#2490C2211yescharacteristic
70#2464—21no—
71#2459—21no—
72#2456—21no—
73#2441C2211yescharacteristic
74#2440C2211yescharacteristic
75#2428—21no—
76#2424—21no—
77#2423C2211yescharacteristic, complemented
78#2420C2211yescharacteristic
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic, complemented
82#2414C2211yescharacteristic, complemented
83#2408C2211yescharacteristic
84#2407C2211yescharacteristic
85#2388C2211yescharacteristic
86#2362C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2352C2211yescharacteristic
89D4×C4⋊C4C2211yescharacteristic
90#2341C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic
92#2311C2211yescharacteristic
93#2311C2211yescharacteristic
94#2097C2211yescharacteristic, complemented
95#2094C2211yescharacteristic
96#2094C2211yescharacteristic
97#2094C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2083C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2071C2211yescharacteristic
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic
104#2065C2211yescharacteristic
105#2065C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2058C2211yescharacteristic, complemented
108#2055C2211yescharacteristic
109#2054C2211yescharacteristic
110#2035C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2023C2211yescharacteristic
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1992C2211yescharacteristic, complemented
135#1990C2211yescharacteristic, complemented
136#1973C2211yescharacteristic
137#1972C2211yescharacteristic
138#1972C2211yescharacteristic
139#1970C2211yescharacteristic
140#1955C2211yescharacteristic, complemented
141#1954C2211yescharacteristic, complemented
142#1949C2211yescharacteristic, complemented
143#1948C2211yescharacteristic, complemented
144#1944C2211yescharacteristic, complemented
145#1941C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1926C2211yescharacteristic
148#1926C2211yescharacteristic
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1924C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1880C2211yescharacteristic
155#1880C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1875C2211yescharacteristic, complemented
159#1874C2211yescharacteristic
160#1874C2211yescharacteristic
161#1874C2211yescharacteristic
162#1873C2211yescharacteristic, complemented
163#1872C2211yescharacteristic, complemented
164#1869C2211yescharacteristic
165#1869C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1865C2211yescharacteristic, complemented
168#1865C2211yescharacteristic, complemented
169#1864C2211yescharacteristic
170#1864C2211yescharacteristic
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic, complemented
174#1854C2211yescharacteristic, complemented
175#1854C2211yescharacteristic, complemented
176#1854C2211yescharacteristic, complemented
177#1853C2211yescharacteristic
178#1853C2211yescharacteristic
179#1853C2211yescharacteristic, complemented
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1850C2211yescharacteristic
186#1836C2211yescharacteristic, complemented
187#1809C2211yescharacteristic
188#1809C2211yescharacteristic
189#1807C2211yescharacteristic
190#1807C2211yescharacteristic
191#1807C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1776C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1736C2211yescharacteristic
202C2×#340C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—24no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#554—42no—
217#554—42no—
218#553—42no—
219#553—42no—
220#537—42no—
221#537—42no—
222#535—42no—
223#535—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127—21no—
226C2×#126—21no—
227C2×#125—21no—
228C2×#125C2311yescharacteristic
229C2×#124—21no—
230C2×#124—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
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×#117C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281#483—42no—
282#482—42no—
283#482—42no—
284#481—42no—
285#481—42no—
286#481—42no—
287#479—42no—
288#476—42no—
289#466—42no—
290#465—42no—
291#440—42no—
292C4×SD16—42no—
293#435—24no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313#416—42no—
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#102—42no—
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—24no—
340C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×#97C2311yescharacteristic
355C2×C4×C8C2311yescharacteristic
356#399—21no—
357#399—21no—
358#399—21no—
359#399—21no—
360#398—21no—
361#398—21no—
362#397—21no—
363#397—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#395—21no—
371#395D411yescharacteristic
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#394D411yescharacteristic
386#394D411yescharacteristic
387#394D411yescharacteristic
388#393—21no—
389#393D411yescharacteristic
390#392—21no—
391#392—21no—
392#392—21no—
393#392D411yescharacteristic
394#392D411yescharacteristic
395#392D411yescharacteristic
396#391—21no—
397#391—21no—
398#391C2311yescharacteristic
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#389—21no—
414#389—21no—
415#389—21no—
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#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#384C2311yescharacteristic
454#384C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#380—21no—
458#380—21no—
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470#379—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
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#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—22no—
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—22no—
534C22×D4—22no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559AGL(1,ℤ/8)—416no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—41no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×M16—41no—
573C2×M16—41no—
574C2×M16#4114yes—
575C22×C8—22no—
576C22×C8—22no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8—41no—
580C22×C8—41no—
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C4⋊Q8—22no—
590C4⋊Q8—41no—
591#127—44no—
592#126—44no—
593#125—22no—
594#125—41no—
595#125—44no—
596#124—44no—
597#124—82no—
598#123—44no—
599#123—82no—
600#123—82no—
601C22⋊Q8—22no—
602C22⋊Q8—22no—
603C22⋊Q8—22no—
604C22⋊Q8—22no—
605C22⋊Q8—44no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—44no—
609C22⋊Q8—44no—
610C22⋊Q8—82no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—44no—
618#121—44no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—44no—
628#121—44no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—82no—
634#121—82no—
635#121—82no—
636#121—82no—
637#120—44no—
638#120—44no—
639#120—82no—
640C4×Q8—22no—
641C4×Q8—41no—
642C4×Q8—41no—
643C4×Q8—41no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—44no—
655C4×D4—44no—
656C4×D4—82no—
657C4×D4—82no—
658#117—22no—
659#117—41no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—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—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
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—82no—
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776#107—22no—
777#107—41no—
778#107—41no—
779#107—41no—
780#106—22no—
781#106—22no—
782#106—22no—
783#106—41no—
784#106—41no—
785#106—41no—
786#106—41no—
787#106—41no—
788#106—41no—
789#106—41no—
790#106—41no—
791#106—41no—
792C4⋊C8—22no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—41no—
799#103—41no—
800#103—41no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832#97—22no—
833#97—41no—
834C4×C8—41no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861C24—21no—
862C24—21no—
863C24—21no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874C24C22×D411yescharacteristic
875#41—44no—
876#41—44no—
877#41—82no—
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883C2×Q8—22no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—41no—
890C2×Q8—41no—
891C2×Q8—42no—
892C2×Q8—81no—
893C2×Q8—81no—
894C2×Q8H(5,𝔽2)12yes—
895C2×D4—22no—
896C2×D4—22no—
897C2×D4—22no—
898C2×D4—24no—
899C2×D4—22no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—22no—
903C2×D4—22no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4H(5,𝔽2)12yes—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
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—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C2×#4112yes—
1038C22×C42−1+412yes—
1039C22×C4C2511yescharacteristic
1040SD16—28no—
1041SD16—44no—
1042D8—44no—
1043D8—44no—
1044M16—44no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
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—82no—
1068C2×C8—82no—
1069C2×C8C2×#4112yes—
1070C2×C8C2×#4112yes—
1071C4⋊C4—24no—
1072C4⋊C4—22no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
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—41no—
1096C4⋊C4—41no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
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—
1120C4⋊C4H(5,𝔽2)12yes—
1121C22⋊C4—24no—
1122C22⋊C4—24no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
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—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—81no—
1185C42—81no—
1186C42—81no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
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—41no—
1215C23—41no—
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—84no—
1235C23—84no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23#54712yes—
1242C23#57712yes—
1243C23C23×D411yescharacteristic
1244Q8—22no—
1245Q8—22no—
1246Q8—41no—
1247Q8—41no—
1248Q8—82no—
1249Q8—162no—
1250D4—22no—
1251D4—22no—
1252D4—44no—
1253D4—44no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—82no—
1265D4—84no—
1266D4—82no—
1267D4—82no—
1268D4—82no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—21no—
1305C2×C4—22no—
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—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—84no—
1363C2×C4—162no—
1364C2×C4—162no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4#54712yes—
1371C2×C4#57712yes—
1372C2×C4C22×#4111yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4C2×2−1+411yescharacteristic
1378C8—22no—
1379C8—22no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—42no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—42no—
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—168no—
1436C22C2×#54711yescharacteristic
1437C22#348411yescharacteristic
1438C22#348411yescharacteristic
1439C22C2×#57711yescharacteristic
1440C22C2×#57711yescharacteristic
1441C22#358511yescharacteristic
1442C22#358511yescharacteristic
1443C4—22no—
1444C4—22no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—42no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—42no—
1454C4—41no—
1455C4—42no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4#349011yescharacteristic
1467C4#350811yescharacteristic
1468C4#353611yescharacteristic
1469C4#353611yescharacteristic
1470C2—42no—
1471C2—42no—
1472C2—81no—
1473C2—81no—
1474C2—82no—
1475C2—161no—
1476C2—161no—
1477C2#4307911yescharacteristic
1478C2#6127211yescharacteristic
1479C2#6127911yescharacteristic
1480C2#6162311yescharacteristic
1481C2#6163311yescharacteristic
1482C2#6167511yescharacteristic
1483C2#6168511yescharacteristic
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. #45105C2semidirect
2. #44915C2semidirect
3. #32072C2semidirect
4. #32051C2semidirect
5. #31958C2semidirect
6. #31948C2semidirect
7. #31204C2semidirect
8. #31196C2semidirect
9. #30566C2semidirect
10. #30561C2semidirect
11. #28783C2semidirect
12. #26811C2semidirect
13. #26801C2semidirect
14. #26568C2semidirect
15. #26554C2semidirect
16. #25958C2semidirect
17. #25953C2semidirect
18. #25543C2semidirect
19. #25537C2semidirect
20. #24865C2semidirect
21. #24862C2semidirect
22. #24275C2semidirect
23. #24138C2semidirect
24. #24118C2semidirect
25. #24015C2semidirect
26. #24012C2semidirect
27. #23393C2semidirect
28. #22711C2semidirect
29. #22443C2semidirect
30. #22037C2semidirect
31. #21946C2semidirect
33. C2×#554C22semidirect
38. C2×#481C22semidirect
39. C2×#481C22semidirect
42. C2×#483C22semidirect
43. C2×#479C22semidirect
63. #2538C22semidirect
66. #2501C22semidirect
68. #2491C22semidirect
77. #2423C22semidirect
81. #2416C22semidirect
82. #2414C22semidirect
86. #2362C22semidirect
94. #2097C22semidirect
97. #2094C22semidirect
98. #2084C22semidirect
99. #2083C22semidirect
100. #2073C22semidirect
102. #2067C22semidirect
105. #2065C22semidirect
106. #2059C22semidirect
107. #2058C22semidirect
110. #2035C22semidirect
111. #2035C22semidirect
112. #2035C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
121. #2033C22semidirect
122. #2025C22semidirect
134. #1992C22semidirect
135. #1990C22semidirect
140. #1955C22semidirect
141. #1954C22semidirect
142. #1949C22semidirect
143. #1948C22semidirect
144. #1944C22semidirect
145. #1941C22semidirect
146. #1927C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1924C22semidirect
153. #1923C22semidirect
158. #1875C22semidirect
162. #1873C22semidirect
163. #1872C22semidirect
165. #1869C22semidirect
166. #1869C22semidirect
167. #1865C22semidirect
168. #1865C22semidirect
173. #1854C22semidirect
174. #1854C22semidirect
175. #1854C22semidirect
176. #1854C22semidirect
179. #1853C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
183. #1853C22semidirect
184. #1852C22semidirect
186. #1836C22semidirect
191. #1807C22semidirect
192. #1803C22semidirect
199. #1776C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#451052
#449152
#320722
#320512
#319582
#319482
#312042
#311962
#305662
#305612
#287832
#268112
#268012
#265682
#265542
#259582
#259532
#255432
#255372
#248652
#248622
#242752
#241382
#241182
#240152
#240122
#233932
#227112
#224432
#220372
#219462