Finite Group Databasebeta

← #7361224

Subgroups — #7361224

Order 512.

1805 conjugacy classes of subgroups.

The subgroup lattice has 1517 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44887C211yesmaximal, characteristic, complemented
2#42962C211yesmaximal, characteristic, complemented
3#32061C211yesmaximal, characteristic, complemented
4#31865C211yesmaximal, characteristic, complemented
5#31753C211yesmaximal, characteristic, complemented
6#31204C211yesmaximal, characteristic, complemented
7#31032C211yesmaximal, characteristic, complemented
8#31020C211yesmaximal, characteristic, complemented
9#31008C211yesmaximal, characteristic, complemented
10#30725C211yesmaximal, characteristic, complemented
11#30658C211yesmaximal, characteristic, complemented
12#30535C211yesmaximal, characteristic, complemented
13#30511C211yesmaximal, characteristic, complemented
14#30416C211yesmaximal, characteristic, complemented
15#29900C211yesmaximal, characteristic, complemented
16#29604C211yesmaximal, characteristic, complemented
17#27350C211yesmaximal, characteristic, complemented
18#27240C211yesmaximal, characteristic, complemented
19#27182C211yesmaximal, characteristic, complemented
20#26802C211yesmaximal, characteristic, complemented
21#26625C211yesmaximal, characteristic, complemented
22#26243C211yesmaximal, characteristic, complemented
23#26229C211yesmaximal, characteristic, complemented
24#25578C211yesmaximal, characteristic, complemented
25#25555C211yesmaximal, characteristic, complemented
26#25554C211yesmaximal, characteristic, complemented
27#25152C211yesmaximal, characteristic, complemented
28#24125C211yesmaximal, characteristic, complemented
29#24013C211yesmaximal, characteristic, complemented
30#23925C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#489C2211yescharacteristic, complemented
37C2×#481C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic, complemented
39C2×#485C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic, complemented
42C2×#478C2211yescharacteristic, complemented
43C2×#469C2211yescharacteristic
44C2×#468C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic
46C2×#450C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×C4×SD16C2211yescharacteristic, complemented
52#2820—21no—
53#2712—21no—
54#2685—21no—
55#2685—21no—
56#2684—21no—
57#2678—21no—
58#2678—21no—
59#2673—21no—
60#2670—21no—
61#2641—21no—
62#2619—21no—
63#2616C2211yescharacteristic
64#2610—21no—
65#2544—21no—
66#2540C2211yescharacteristic
67#2540C2211yescharacteristic, complemented
68#2535C2211yescharacteristic
69#2500C2211yescharacteristic, complemented
70#2491C2211yescharacteristic
71#2490C2211yescharacteristic
72#2490C2211yescharacteristic, complemented
73#2474—21no—
74#2439C2211yescharacteristic, complemented
75#2435C2211yescharacteristic, complemented
76#2426C2211yescharacteristic
77#2426C2211yescharacteristic, complemented
78#2424—21no—
79#2422C2211yescharacteristic
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic, complemented
82#2416C2211yescharacteristic, complemented
83#2414C2211yescharacteristic
84#2411—21no—
85#2408C2211yescharacteristic, complemented
86#2408C2211yescharacteristic, complemented
87#2388C2211yescharacteristic
88#2361C2211yescharacteristic, complemented
89#2354C2211yescharacteristic, complemented
90#2346C2211yescharacteristic, complemented
91D4×C22⋊C4C2211yescharacteristic, complemented
92#2311C2211yescharacteristic
93#2099C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2077C2211yescharacteristic, complemented
96#2077C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2076C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2065C2211yescharacteristic, complemented
102#2065C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2059C2211yescharacteristic, complemented
106#2058C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2042C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2035C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2025C2211yescharacteristic, complemented
125#2023C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1991C2211yescharacteristic, complemented
142#1988C2211yescharacteristic, complemented
143#1983C2211yescharacteristic, complemented
144#1972C2211yescharacteristic
145#1972C2211yescharacteristic
146#1970C2211yescharacteristic
147#1959C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1955C2211yescharacteristic, complemented
150#1954C2211yescharacteristic, complemented
151#1947C2211yescharacteristic, complemented
152#1944C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1919C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1875C2211yescharacteristic
173#1875C2211yescharacteristic
174#1875C2211yescharacteristic
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1780C2211yescharacteristic
199#1780C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×M16C2311yescharacteristic
213#555—42no—
214#555—42no—
215#552—42no—
216#552—42no—
217#535—42no—
218#535—42no—
219#535—42no—
220#535—42no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×#127—21no—
223C2×#127—21no—
224C2×#126—21no—
225C2×#125—21no—
226C2×#125C2311yescharacteristic
227C2×#124—21no—
228C2×#124—21no—
229C2×#124—21no—
230C2×#124—21no—
231C2×#124—21no—
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×#123—21no—
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117—21no—
270C2×#117—21no—
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C22⋊C4—21no—
278#489—42no—
279#485—42no—
280#482—42no—
281#481—42no—
282#481—42no—
283#480—42no—
284#478—42no—
285#469—42no—
286#468—42no—
287#463—42no—
288#450—42no—
289#447—42no—
290#447—42no—
291#447—42no—
292#447—42no—
293C4×SD16—42no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
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×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×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#399—21no—
354#399—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#395—21no—
366#395D411yescharacteristic
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#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394D411yescharacteristic
387#394D411yescharacteristic
388#394D411yescharacteristic
389#393—21no—
390#393—21no—
391#393D411yescharacteristic
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392D411yescharacteristic
399#392D411yescharacteristic
400#392D411yescharacteristic
401#391—21no—
402#391—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#387—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#385—21no—
451#385—21no—
452#384C2311yescharacteristic
453#382—21no—
454#382C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465#379—21no—
466#379—21no—
467#379—21no—
468C4×C4⋊C4—21no—
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475#376—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—
503C25—21no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8C2×D411yescharacteristic
512C22×Q8C2411yescharacteristic
513C22×D4—21no—
514C22×D4—22no—
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—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C2×SD16—22no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—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#127—44no—
589#127—44no—
590#126—44no—
591#125—22no—
592#125—41no—
593#125—44no—
594#124—44no—
595#124—41no—
596#124—41no—
597#124—41no—
598#124—41no—
599#124—44no—
600#124—44no—
601#124—44no—
602#124—82no—
603#123—44no—
604#123—82no—
605C22⋊Q8—22no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—41no—
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—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—82no—
639#121—82no—
640#121—82no—
641#120—44no—
642#120—44no—
643#120—44no—
644#120—44no—
645#120—82no—
646#120—82no—
647C4×Q8—22no—
648C4×Q8—41no—
649C4×D4—22no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—82no—
660#117—22no—
661#117—22no—
662#117—22no—
663#117—22no—
664#117—44no—
665#117—44no—
666#117—41no—
667#117—41no—
668#117—41no—
669#117—41no—
670C2×C4⋊C4—22no—
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—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
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—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778#107—22no—
779#107—22no—
780#107—41no—
781#107—41no—
782#106—22no—
783#106—22no—
784#106—22no—
785#106—41no—
786#106—41no—
787#106—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791#103—22no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
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—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—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—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834#97—41no—
835#97—41no—
836C4×C8—41no—
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—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24C22×D411yescharacteristic
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881C24C22×D411yescharacteristic
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—41no—
893C2×Q8—41no—
894C2×Q8—41no—
895C2×Q8—42no—
896C2×Q8—81no—
897C2×Q8—81no—
898C2×D4—24no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
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—21no—
921C2×D4—21no—
922C2×D4—41no—
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—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
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—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—82no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—81no—
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×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4H(5,𝔽2)12yes—
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—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C2511yescharacteristic
1049SD16—44no—
1050SD16—82no—
1051D8—82no—
1052D8—82no—
1053D8—82no—
1054D8—82no—
1055M16—82no—
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×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—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—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
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—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4H(5,𝔽2)12yes—
1119C4⋊C4H(5,𝔽2)12yes—
1120C4⋊C4H(5,𝔽2)12yes—
1121C22⋊C4—24no—
1122C22⋊C4—24no—
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—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—42no—
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—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C42—24no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—42no—
1191C42—42no—
1192C42—42no—
1193C42—42no—
1194C42—42no—
1195C42—81no—
1196C42—81no—
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—22no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
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—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—84no—
1254C23—84no—
1255C23—84no—
1256C23—162no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23—162no—
1267C23C23×D411yescharacteristic
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—82no—
1273Q8—162no—
1274D4—22no—
1275D4—22no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—84no—
1291D4—82no—
1292D4—82no—
1293D4—82no—
1294D4—82no—
1295D4—82no—
1296D4—82no—
1297D4—84no—
1298D4—84no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
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—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—22no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—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—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—84no—
1393C2×C4—84no—
1394C2×C4—162no—
1395C2×C4—162no—
1396C2×C4C2×H(5,𝔽2)11yescharacteristic
1397C2×C4C2×H(5,𝔽2)11yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4C2×H(5,𝔽2)11yescharacteristic
1400C2×C4#58511yescharacteristic
1401C2×C4#58511yescharacteristic
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—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—42no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—42no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—168no—
1467C22—168no—
1468C22#348411yescharacteristic
1469C22#348411yescharacteristic
1470C22#348511yescharacteristic
1471C22#358411yescharacteristic
1472C22#358511yescharacteristic
1473C22#358511yescharacteristic
1474C22#358511yescharacteristic
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—42no—
1483C4—41no—
1484C4—41no—
1485C4—42no—
1486C4—41no—
1487C4—42no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4#354211yescharacteristic
1498C4#354611yescharacteristic
1499C4#354611yescharacteristic
1500C4#355811yescharacteristic
1501C2—81no—
1502C2—81no—
1503C2—81no—
1504C2—81no—
1505C2—82no—
1506C2—161no—
1507C2—161no—
1508C2—161no—
1509C2#4954411yescharacteristic
1510C2#6162511yescharacteristic
1511C2#6165311yescharacteristic
1512C2#6167311yescharacteristic
1513C2#6167811yescharacteristic
1514C2#6178311yescharacteristic
1515C2#6180411yescharacteristic
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. #44887C2semidirect
2. #42962C2semidirect
3. #32061C2semidirect
4. #31865C2semidirect
5. #31753C2semidirect
6. #31204C2semidirect
7. #31032C2semidirect
8. #31020C2semidirect
9. #31008C2semidirect
10. #30725C2semidirect
11. #30658C2semidirect
12. #30535C2semidirect
13. #30511C2semidirect
14. #30416C2semidirect
15. #29900C2semidirect
16. #29604C2semidirect
17. #27350C2semidirect
18. #27240C2semidirect
19. #27182C2semidirect
20. #26802C2semidirect
21. #26625C2semidirect
22. #26243C2semidirect
23. #26229C2semidirect
24. #25578C2semidirect
25. #25555C2semidirect
26. #25554C2semidirect
27. #25152C2semidirect
28. #24125C2semidirect
29. #24013C2semidirect
30. #23925C2semidirect
31. #23313C2semidirect
32. C2×#555C22semidirect
33. C2×#552C22semidirect
36. C2×#489C22semidirect
37. C2×#481C22semidirect
38. C2×#481C22semidirect
39. C2×#485C22semidirect
40. C2×#482C22semidirect
41. C2×#480C22semidirect
42. C2×#478C22semidirect
44. C2×#468C22semidirect
46. C2×#450C22semidirect
51. C2×C4×SD16C22semidirect
67. #2540C22semidirect
69. #2500C22semidirect
72. #2490C22semidirect
74. #2439C22semidirect
75. #2435C22semidirect
77. #2426C22semidirect
81. #2416C22semidirect
82. #2416C22semidirect
85. #2408C22semidirect
86. #2408C22semidirect
88. #2361C22semidirect
89. #2354C22semidirect
90. #2346C22semidirect
91. D4×C22⋊C4C22semidirect
93. #2099C22semidirect
94. #2092C22semidirect
95. #2077C22semidirect
96. #2077C22semidirect
97. #2077C22semidirect
98. #2076C22semidirect
99. #2073C22semidirect
100. #2071C22semidirect
101. #2065C22semidirect
102. #2065C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2059C22semidirect
106. #2058C22semidirect
109. #2042C22semidirect
110. #2036C22semidirect
111. #2036C22semidirect
112. #2035C22semidirect
113. #2035C22semidirect
114. #2035C22semidirect
118. #2034C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2025C22semidirect
125. #2023C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
141. #1991C22semidirect
142. #1988C22semidirect
143. #1983C22semidirect
147. #1959C22semidirect
148. #1955C22semidirect
149. #1955C22semidirect
150. #1954C22semidirect
151. #1947C22semidirect
152. #1944C22semidirect
153. #1936C22semidirect
154. #1934C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1919C22semidirect
167. #1895C22semidirect
168. #1880C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1873C22semidirect
181. #1873C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1865C22semidirect
187. #1862C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1854C22semidirect
191. #1853C22semidirect
192. #1853C22semidirect
193. #1825C22semidirect
194. #1805C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
200. #1776C22semidirect
201. #1762C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#448872
#429622
#320612
#318652
#317532
#312042
#310322
#310202
#310082
#307252
#306582
#305352
#305112
#304162
#299002
#296042
#273502
#272402
#271822
#268022
#266252
#262432
#262292
#255782
#255552
#255542
#251522
#241252
#240132
#239252
#233132