Finite Group Databasebeta

← #7361207

Subgroups — #7361207

Order 512.

1841 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59024C211yesmaximal, characteristic, complemented
2#39467C211yesmaximal, characteristic, complemented
3#32056C211yesmaximal, characteristic, complemented
4#31849C211yesmaximal, characteristic, complemented
5#31753C211yesmaximal, characteristic, complemented
6#31198C211yesmaximal, characteristic, complemented
7#31030C211yesmaximal, characteristic, complemented
8#31016C211yesmaximal, characteristic, complemented
9#30996C211yesmaximal, characteristic, complemented
10#30725C211yesmaximal, characteristic, complemented
11#30660C211yesmaximal, characteristic, complemented
12#30535C211yesmaximal, characteristic, complemented
13#30513C211yesmaximal, characteristic, complemented
14#30424C211yesmaximal, characteristic, complemented
15#29894C211yesmaximal, characteristic, complemented
16#29601C211yesmaximal, characteristic, complemented
17#27326C211yesmaximal, characteristic, complemented
18#27249C211yesmaximal, characteristic, complemented
19#27176C211yesmaximal, characteristic, complemented
20#26791C211yesmaximal, characteristic, complemented
21#26620C211yesmaximal, characteristic, complemented
22#26241C211yesmaximal, characteristic, complemented
23#26224C211yesmaximal, characteristic, complemented
24#25579C211yesmaximal, characteristic, complemented
25#25560C211yesmaximal, characteristic, complemented
26#25559C211yesmaximal, characteristic, complemented
27#25163C211yesmaximal, characteristic, complemented
28#24127C211yesmaximal, characteristic, complemented
29#24002C211yesmaximal, characteristic, complemented
30#23920C211yesmaximal, characteristic, complemented
31#23308C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C2×#489C2211yescharacteristic, complemented
37C2×#485C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#480C2211yescharacteristic
40C2×#480C2211yescharacteristic
41C2×#480C2211yescharacteristic, complemented
42C2×#479C2211yescharacteristic, complemented
43C2×#468C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#464C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×C4×Q16C2211yescharacteristic, complemented
52#2848C2211yescharacteristic
53#2714—21no—
54#2714—21no—
55#2711—21no—
56#2711—21no—
57#2707—21no—
58#2696—21no—
59#2613—21no—
60#2540C2211yescharacteristic
61#2540C2211yescharacteristic
62#2536C2211yescharacteristic
63#2504C2211yescharacteristic, complemented
64#2491C2211yescharacteristic
65#2490C2211yescharacteristic
66#2490C2211yescharacteristic
67#2482—21no—
68#2472—21no—
69#2460—21no—
70#2450—21no—
71#2439C2211yescharacteristic, complemented
72#2435C2211yescharacteristic
73#2427—21no—
74#2426C2211yescharacteristic
75#2426C2211yescharacteristic
76#2424—21no—
77#2421C2211yescharacteristic
78#2416C2211yescharacteristic
79#2416C2211yescharacteristic, complemented
80#2414C2211yescharacteristic
81#2414C2211yescharacteristic
82#2411—21no—
83#2408C2211yescharacteristic
84#2407C2211yescharacteristic, complemented
85#2364—21no—
86#2360C2211yescharacteristic, complemented
87#2352C2211yescharacteristic, complemented
88#2344C2211yescharacteristic
89#2341C2211yescharacteristic, complemented
90#2309—21no—
91C4×#120C2211yescharacteristic
92C2×#380C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2077C2211yescharacteristic, complemented
96#2077C2211yescharacteristic, complemented
97#2075C2211yescharacteristic
98#2075C2211yescharacteristic
99#2073C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2068C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2059C2211yescharacteristic, complemented
106#2057C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic
115#2035C2211yescharacteristic
116#2035C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2025C2211yescharacteristic, complemented
125#2023C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2001C2211yescharacteristic
130#2001C2211yescharacteristic, complemented
131#2001C2211yescharacteristic, complemented
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1991C2211yescharacteristic, complemented
142#1988C2211yescharacteristic, complemented
143#1983C2211yescharacteristic, complemented
144#1972C2211yescharacteristic, complemented
145#1970C2211yescharacteristic, complemented
146#1968C2211yescharacteristic, complemented
147#1958C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1954C2211yescharacteristic
150#1954C2211yescharacteristic, complemented
151#1949C2211yescharacteristic, complemented
152#1943C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic
162#1923C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1875C2211yescharacteristic
173#1875C2211yescharacteristic
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1872C2211yescharacteristic
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1852C2211yescharacteristic
191#1852C2211yescharacteristic
192#1852C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1779C2211yescharacteristic
199#1779C2211yescharacteristic
200C4×#107C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214#554—42no—
215#554—42no—
216#552—42no—
217#552—42no—
218C2×C4⋊Q8C2311yescharacteristic
219C2×#126—21no—
220C2×#125—21no—
221C2×#125—21no—
222C2×#125C2311yescharacteristic
223C2×#124—21no—
224C2×#124C2311yescharacteristic
225C2×#124C2311yescharacteristic
226#525—42no—
227#525—42no—
228C2×#123—21no—
229C2×#123—21no—
230C2×C22⋊Q8—21no—
231C2×C22⋊Q8—21no—
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—42no—
244C2×#121—42no—
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#120—21no—
255C2×#120—21no—
256C2×#120D411yescharacteristic
257C2×C4×Q8C2311yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×Q8C2311yescharacteristic
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×#117—21no—
267C2×#117—21no—
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276#489—42no—
277#485—42no—
278#482—42no—
279#480—42no—
280#480—42no—
281#480—42no—
282#479—42no—
283#468—42no—
284#468—42no—
285#464—42no—
286#452—42no—
287#450—42no—
288#449—42no—
289#449—42no—
290#447—42no—
291C4×Q16—42no—
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351#400—21no—
352#399—21no—
353#399—21no—
354#398—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#393—21no—
380#393—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#391—21no—
388#391C2311yescharacteristic
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#387—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#387—21no—
429#387—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386D411yescharacteristic
437#386D411yescharacteristic
438#386D411yescharacteristic
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385D411yescharacteristic
445#385D411yescharacteristic
446#385D411yescharacteristic
447#382C2311yescharacteristic
448#382C2311yescharacteristic
449#381—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465#379D411yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C2×#95—21no—
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25C2×D411yescharacteristic
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8C2411yescharacteristic
512C22×Q8C2411yescharacteristic
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—44no—
531C22×D4—44no—
532C22×D4—82no—
533C22×D4C2×D411yescharacteristic
534C22×D4C2×D411yescharacteristic
535C22×D4C2×D411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2×D411yescharacteristic
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C2×Q16—22no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C4⋊Q8—22no—
587C4⋊Q8—41no—
588#126—44no—
589#125—22no—
590#125—41no—
591#125—44no—
592#125—44no—
593#124—41no—
594#124—41no—
595#124—41no—
596#124—41no—
597#124—82no—
598#123—44no—
599#123—44no—
600C22⋊Q8—22no—
601C22⋊Q8—22no—
602C22⋊Q8—22no—
603C22⋊Q8—22no—
604C22⋊Q8—22no—
605C22⋊Q8—44no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—41no—
611C22⋊Q8—44no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—44no—
629#121—44no—
630#121—44no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—82no—
638#120—42no—
639#120—44no—
640#120—82no—
641C4×Q8—22no—
642C4×Q8—22no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—44no—
654C4×D4—44no—
655C4×D4—44no—
656#117—22no—
657#117—22no—
658#117—41no—
659#117—41no—
660#117—44no—
661#117—82no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—21no—
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—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
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—44no—
750C2×C22⋊C4—82no—
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774#107—22no—
775#107—22no—
776#107—22no—
777#107—22no—
778#107—22no—
779#107—41no—
780#107—41no—
781#106—41no—
782#106—41no—
783#106—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#103—22no—
788#103—22no—
789#103—22no—
790#103—22no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
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—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830#97—41no—
831C4×C8—41no—
832C4×C8—41no—
833#95—21no—
834#95—21no—
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#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860C24—22no—
861C24—22no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—41no—
866C24—41no—
867C24—41no—
868C24—41no—
869C24—41no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24C22×D411yescharacteristic
878C24C22×D411yescharacteristic
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—42no—
897C2×Q8—81no—
898C2×Q8—81no—
899C2×Q8H(5,𝔽2)12yes—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
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—81no—
945C2×D4—81no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—816no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C22×C4—24no—
966C22×C4—21no—
967C22×C4—21no—
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—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—81no—
1020C22×C4—82no—
1021C22×C4—82no—
1022C22×C4—82no—
1023C22×C4—82no—
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×C4C2511yescharacteristic
1041Q16—44no—
1042SD16—82no—
1043SD16—82no—
1044SD16—82no—
1045D8—82no—
1046D8—82no—
1047M16—82no—
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—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C4⋊C4—24no—
1073C4⋊C4—24no—
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—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—42no—
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—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4H(5,𝔽2)12yes—
1116C4⋊C4H(5,𝔽2)12yes—
1117C4⋊C4H(5,𝔽2)12yes—
1118C22⋊C4—24no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
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—42no—
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—42no—
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—
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—
1187C42—81no—
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—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—44no—
1215C23—44no—
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—82no—
1238C23—82no—
1239C23—82no—
1240C23—84no—
1241C23—82no—
1242C23—82no—
1243C23—84no—
1244C23—84no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23#57512yes—
1250C23#57612yes—
1251C23C23×D411yescharacteristic
1252Q8—22no—
1253Q8—22no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—162no—
1261D4—44no—
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—82no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—82no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
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—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—21no—
1303C2×C4—21no—
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—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—48no—
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—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—82no—
1374C2×C4—82no—
1375C2×C4—82no—
1376C2×C4—84no—
1377C2×C4—162no—
1378C2×C4—162no—
1379C2×C4—162no—
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
1385C2×C4#58511yescharacteristic
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
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—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—88no—
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—81no—
1443C22—81no—
1444C22—168no—
1445C22#348411yescharacteristic
1446C22#348411yescharacteristic
1447C22#348511yescharacteristic
1448C22C2×#57511yescharacteristic
1449C22C2×#57611yescharacteristic
1450C22#358411yescharacteristic
1451C22#358611yescharacteristic
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—42no—
1459C4—41no—
1460C4—41no—
1461C4—42no—
1462C4—42no—
1463C4—41no—
1464C4—41no—
1465C4—42no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4#354211yescharacteristic
1476C4#354611yescharacteristic
1477C4#354611yescharacteristic
1478C4#355811yescharacteristic
1479C2—42no—
1480C2—42no—
1481C2—81no—
1482C2—81no—
1483C2—161no—
1484C2—161no—
1485C2—161no—
1486C2#4954411yescharacteristic
1487C2#6158311yescharacteristic
1488C2#6159211yescharacteristic
1489C2#6161511yescharacteristic
1490C2#6163911yescharacteristic
1491C2#6174111yescharacteristic
1492C2#6174411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59024C2semidirect
2. #39467C2semidirect
3. #32056C2semidirect
4. #31849C2semidirect
5. #31753C2semidirect
6. #31198C2semidirect
7. #31030C2semidirect
8. #31016C2semidirect
9. #30996C2semidirect
10. #30725C2semidirect
11. #30660C2semidirect
12. #30535C2semidirect
13. #30513C2semidirect
14. #30424C2semidirect
15. #29894C2semidirect
16. #29601C2semidirect
17. #27326C2semidirect
18. #27249C2semidirect
19. #27176C2semidirect
20. #26791C2semidirect
21. #26620C2semidirect
22. #26241C2semidirect
23. #26224C2semidirect
24. #25579C2semidirect
25. #25560C2semidirect
26. #25559C2semidirect
27. #25163C2semidirect
28. #24127C2semidirect
29. #24002C2semidirect
30. #23920C2semidirect
31. #23308C2semidirect
32. C2×#554C22semidirect
36. C2×#489C22semidirect
37. C2×#485C22semidirect
38. C2×#482C22semidirect
41. C2×#480C22semidirect
42. C2×#479C22semidirect
43. C2×#468C22semidirect
44. C2×#468C22semidirect
45. C2×#464C22semidirect
46. C2×#452C22semidirect
51. C2×C4×Q16C22semidirect
63. #2504C22semidirect
71. #2439C22semidirect
79. #2416C22semidirect
84. #2407C22semidirect
86. #2360C22semidirect
87. #2352C22semidirect
89. #2341C22semidirect
93. #2101C22semidirect
94. #2092C22semidirect
95. #2077C22semidirect
96. #2077C22semidirect
99. #2073C22semidirect
100. #2073C22semidirect
101. #2068C22semidirect
102. #2067C22semidirect
103. #2067C22semidirect
104. #2065C22semidirect
105. #2059C22semidirect
106. #2057C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2042C22semidirect
110. #2036C22semidirect
111. #2036C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
124. #2025C22semidirect
125. #2023C22semidirect
126. #2015C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
130. #2001C22semidirect
131. #2001C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1991C22semidirect
142. #1988C22semidirect
143. #1983C22semidirect
144. #1972C22semidirect
145. #1970C22semidirect
146. #1968C22semidirect
147. #1958C22semidirect
148. #1955C22semidirect
150. #1954C22semidirect
151. #1949C22semidirect
152. #1943C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1928C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
160. #1924C22semidirect
162. #1923C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1918C22semidirect
167. #1895C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
177. #1874C22semidirect
178. #1873C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
188. #1854C22semidirect
189. #1853C22semidirect
192. #1852C22semidirect
193. #1825C22semidirect
194. #1805C22semidirect
195. #1788C22semidirect
200. C4×#107C22semidirect
201. #1763C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#590242
#394672
#320562
#318492
#317532
#311982
#310302
#310162
#309962
#307252
#306602
#305352
#305132
#304242
#298942
#296012
#273262
#272492
#271762
#267912
#266202
#262412
#262242
#255792
#255602
#255592
#251632
#241272
#240022
#239202
#233082