Finite Group Databasebeta

← #7028367

Subgroups — #7028367

Order 512.

1949 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#59399C211yesmaximal, characteristic, complemented
2#59095C211yesmaximal, characteristic, complemented
3#32162C211yesmaximal, characteristic, complemented
4#31802C211yesmaximal, characteristic, complemented
5#31400C211yesmaximal, characteristic, complemented
6#31290C211yesmaximal, characteristic, complemented
7#31196C211yesmaximal, characteristic, complemented
8#30925C211yesmaximal, characteristic, complemented
9#30472C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#29036C211yesmaximal, characteristic, complemented
12#28117C211yesmaximal, characteristic, complemented
13#27350C211yesmaximal, characteristic, complemented
14#27113C211yesmaximal, characteristic, complemented
15#26984C211yesmaximal, characteristic, complemented
16#26950C211yesmaximal, characteristic, complemented
17#26769C211yesmaximal, characteristic, complemented
18#26625C211yesmaximal, characteristic, complemented
19#26608C211yesmaximal, characteristic, complemented
20#26373C211yesmaximal, characteristic, complemented
21#24913C211yesmaximal, characteristic, complemented
22#24728C211yesmaximal, characteristic, complemented
23#24494C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#24154C211yesmaximal, characteristic, complemented
27#23573C211yesmaximal, characteristic, complemented
28#23193C211yesmaximal, characteristic, complemented
29#22884C211yesmaximal, characteristic, complemented
30#22359C211yesmaximal, characteristic, complemented
31#22049C211yesmaximal, characteristic, complemented
32C2×#546—21no—
33C2×D42C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#481C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic, complemented
38C2×#475C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#460C2211yescharacteristic
41C2×#460C2211yescharacteristic, complemented
42C2×#460C2211yescharacteristic, complemented
43C2×#450C2211yescharacteristic
44C2×#450C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#442C2211yescharacteristic, complemented
48C2×#442C2211yescharacteristic, complemented
49C2×C4×SD16C2211yescharacteristic
50C2×C4×SD16C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic
52#2795—21no—
53#2783—21no—
54#2676—21no—
55#2670—21no—
56#2602—21no—
57#2566—21no—
58#2558—21no—
59#2554—21no—
60#2541C2211yescharacteristic
61#2538C2211yescharacteristic
62#2526—21no—
63#2512C2211yescharacteristic, complemented
64#2506C2211yescharacteristic, complemented
65#2497C2211yescharacteristic, complemented
66#2491C2211yescharacteristic
67#2456—21no—
68#2452C2211yescharacteristic
69#2445C2211yescharacteristic
70#2433C2211yescharacteristic
71#2433C2211yescharacteristic
72#2428C2211yescharacteristic
73#2426C2211yescharacteristic, complemented
74#2426C2211yescharacteristic, complemented
75#2424—21no—
76#2424—21no—
77#2422C2211yescharacteristic, complemented
78#2416C2211yescharacteristic
79#2414C2211yescharacteristic
80#2410—21no—
81#2404—21no—
82#2373—21no—
83#2367C2211yescharacteristic, complemented
84#2366C2211yescharacteristic
85#2362C2211yescharacteristic, complemented
86#2361C2211yescharacteristic
87Q8×C4⋊C4C2211yescharacteristic, complemented
88#2346C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic
90C4×C22⋊Q8C2211yescharacteristic, complemented
91C4×#123C2211yescharacteristic
92C4×#121C2211yescharacteristic, complemented
93C2×#390C2211yescharacteristic
94#2099C2211yescharacteristic, complemented
95#2094C2211yescharacteristic
96#2086C2211yescharacteristic, complemented
97#2084C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2071C2211yescharacteristic, complemented
100#2067C2211yescharacteristic, complemented
101#2065C2211yescharacteristic
102#2065C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2058C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2054C2211yescharacteristic, complemented
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic
113#2041C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2012C2211yescharacteristic, complemented
123#2012C2211yescharacteristic, complemented
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1988C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1982C2211yescharacteristic
137#1982C2211yescharacteristic, complemented
138#1973C2211yescharacteristic
139#1973C2211yescharacteristic, complemented
140#1970C2211yescharacteristic, complemented
141#1957C2211yescharacteristic
142#1957C2211yescharacteristic, complemented
143#1954C2211yescharacteristic
144#1941C2211yescharacteristic, complemented
145#1939C2211yescharacteristic, complemented
146#1936C2211yescharacteristic
147#1936C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1936C2211yescharacteristic, complemented
150#1934C2211yescharacteristic
151#1934C2211yescharacteristic, complemented
152#1926C2211yescharacteristic
153#1926C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1925C2211yescharacteristic
156#1925C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1919C2211yescharacteristic, complemented
164#1917C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1895C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1865C2211yescharacteristic, complemented
182#1865C2211yescharacteristic, complemented
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1802C2211yescharacteristic
192#1802C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1776C2211yescharacteristic, complemented
198#1771C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216#546—48no—
217D42—42no—
218D42—42no—
219#532—42no—
220#532—42no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#127C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#126—21no—
227C2×#125—21no—
228C2×#124—21no—
229C2×#124—21no—
230C2×#124C2311yescharacteristic
231C2×#123—21no—
232C2×#123—21no—
233C2×#123D411yescharacteristic
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×#120—21no—
255C2×C4×Q8C2311yescharacteristic
256C2×C4×Q8C2311yescharacteristic
257C2×C4×Q8C2311yescharacteristic
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C22⋊C4—21no—
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C42C2311yescharacteristic
274#496—24no—
275#482—42no—
276#481—42no—
277#475—42no—
278#469—42no—
279#460—42no—
280#460—42no—
281#460—42no—
282#450—24no—
283#450—24no—
284#447—42no—
285#447—42no—
286#442—42no—
287#442—42no—
288C4×SD16—42no—
289C4×SD16—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#418—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#400—21no—
349#400—21no—
350#398—21no—
351#397—21no—
352#397—21no—
353#396—21no—
354#396—21no—
355#396—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#393—21no—
371#393—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#391C2311yescharacteristic
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389—21no—
400#389—21no—
401#389—21no—
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#388—21no—
411#388—21no—
412#388—21no—
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#388D411yescharacteristic
425#388D411yescharacteristic
426#387—21no—
427#387—21no—
428#387—21no—
429#387—21no—
430#387D411yescharacteristic
431#387D411yescharacteristic
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386D411yescharacteristic
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385D411yescharacteristic
448#384—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#382—21no—
452#381D411yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#379—21no—
458C4×C4⋊C4—21no—
459C4×C4⋊C4—21no—
460C4×C4⋊C4—21no—
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473#376—21no—
474#340C2311yescharacteristic
475#340C2311yescharacteristic
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#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C25—21no—
502C2×#41—44no—
503C2×#41—44no—
504C2×#41—82no—
505C22×Q8—21no—
506C22×Q8C2411yescharacteristic
507C22×D4—21no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—21no—
512C22×D4—21no—
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—21no—
525C22×D4—21no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—44no—
536C22×D4—44no—
537C22×D4—82no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16#4114yescomplemented
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—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—22no—
592#127—22no—
593#127—22no—
594#127—41no—
595#127—41no—
596#127—41no—
597#127—41no—
598#127—41no—
599#126—44no—
600#125—82no—
601#124—22no—
602#124—41no—
603#124—44no—
604#124—44no—
605#123—24no—
606#123—44no—
607#123—82no—
608C22⋊Q8—22no—
609C22⋊Q8—22no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—44no—
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—44no—
624#121—44no—
625#121—44no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—82no—
631#120—44no—
632#120—44no—
633#120—44no—
634#120—44no—
635#120—82no—
636#120—82no—
637C4×Q8—22no—
638C4×Q8—41no—
639C4×Q8—41no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×Q8—41no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—44no—
656C4×D4—44no—
657C4×D4—44no—
658C4×D4—82no—
659#117—22no—
660#117—41no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
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—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
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—44no—
740C2×C22⋊C4—44no—
741C2×C22⋊C4—82no—
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—41no—
759C2×C42—41no—
760C2×C42C2×D411yescharacteristic
761C2×C42C2×D411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767#107—41no—
768#107—41no—
769#106—22no—
770#106—22no—
771#106—22no—
772#106—22no—
773#106—41no—
774#106—41no—
775C4⋊C8—41no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780#103—22no—
781#103—41no—
782#103—41no—
783#103—41no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
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—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819#97—22no—
820#97—41no—
821#97—41no—
822C4×C8—41no—
823C4×C8—41no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
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#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873#41—816no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—42no—
880C2×Q8—42no—
881C2×Q8—81no—
882C2×Q8C2×#4112yes—
883C2×D4—24no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
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—41no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—44no—
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—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
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—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—82no—
962C2×D4—82no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—816no—
971C2×D4C2×#4112yes—
972C2×D4H(5,𝔽2)12yes—
973C22×C4—22no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—22no—
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—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—42no—
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×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C2511yescharacteristic
1033SD16—44no—
1034SD16—44no—
1035SD16—82no—
1036SD16—82no—
1037D8—44no—
1038D8—44no—
1039D8—82no—
1040D8—82no—
1041M16—82no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
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×C8C2×#4112yes—
1066C4⋊C4—22no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
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—41no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4AGL(1,ℤ/8)14yes—
1108C4⋊C4H(5,𝔽2)12yes—
1109C4⋊C4H(5,𝔽2)12yes—
1110C22⋊C4—24no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
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—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—41no—
1171C42—41no—
1172C42—42no—
1173C42—42no—
1174C42—42no—
1175C42—42no—
1176C42—42no—
1177C42—81no—
1178C42—81no—
1179C42—81no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—22no—
1190C23—22no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
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—84no—
1229C23—84no—
1230C23—84no—
1231C23—84no—
1232C23—84no—
1233C23—84no—
1234C23—84no—
1235C23—162no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23#57712yes—
1243C23C23×D411yescharacteristic
1244Q8—22no—
1245Q8—22no—
1246Q8—41no—
1247Q8—41no—
1248Q8—84no—
1249D4—22no—
1250D4—22no—
1251D4—22no—
1252D4—22no—
1253D4—44no—
1254D4—48no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284D4—162no—
1285D4—162no—
1286C2×C4—21no—
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—21no—
1303C2×C4—22no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—22no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—44no—
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—84no—
1362C2×C4—82no—
1363C2×C4—84no—
1364C2×C4—84no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4—162no—
1368C2×C4C2×AGL(1,ℤ/8)12yes—
1369C2×C4C2×AGL(1,ℤ/8)12yes—
1370C2×C4C2×AGL(1,ℤ/8)12yes—
1371C2×C4C22×#4111yescharacteristic
1372C2×C4C2×H(5,𝔽2)11yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4#58511yescharacteristic
1376C2×C4#58511yescharacteristic
1377C8—22no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—42no—
1394C22—41no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—41no—
1403C22—42no—
1404C22—41no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
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—168no—
1435C22—168no—
1436C22D4×#4111yescharacteristic
1437C22#348411yescharacteristic
1438C22#348811yescharacteristic
1439C22C22×AGL(1,ℤ/8)11yescharacteristic
1440C22C2×#57711yescharacteristic
1441C22#358511yescharacteristic
1442C22#358511yescharacteristic
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—41no—
1447C4—41no—
1448C4—42no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—42no—
1453C4—41no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4#350511yescharacteristic
1467C4#351911yescharacteristic
1468C4#353311yescharacteristic
1469C4#354611yescharacteristic
1470C2—42no—
1471C2—81no—
1472C2—82no—
1473C2—82no—
1474C2—161no—
1475C2—161no—
1476C2—161no—
1477C2#4311111yescharacteristic
1478C2#6146511yescharacteristic
1479C2#6152111yescharacteristic
1480C2#6160011yescharacteristic
1481C2#6165311yescharacteristic
1482C2#6196311yescharacteristic
1483C2#6201811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59399C2semidirect
2. #59095C2semidirect
3. #32162C2semidirect
4. #31802C2semidirect
5. #31400C2semidirect
6. #31290C2semidirect
7. #31196C2semidirect
8. #30925C2semidirect
9. #30472C2semidirect
10. #30472C2semidirect
11. #29036C2semidirect
12. #28117C2semidirect
13. #27350C2semidirect
14. #27113C2semidirect
15. #26984C2semidirect
16. #26950C2semidirect
17. #26769C2semidirect
18. #26625C2semidirect
19. #26608C2semidirect
20. #26373C2semidirect
21. #24913C2semidirect
22. #24728C2semidirect
23. #24494C2semidirect
24. #24440C2semidirect
25. #24240C2semidirect
26. #24154C2semidirect
27. #23573C2semidirect
28. #23193C2semidirect
29. #22884C2semidirect
30. #22359C2semidirect
31. #22049C2semidirect
36. C2×#481C22semidirect
37. C2×#482C22semidirect
38. C2×#475C22semidirect
41. C2×#460C22semidirect
42. C2×#460C22semidirect
47. C2×#442C22semidirect
48. C2×#442C22semidirect
50. C2×C4×SD16C22semidirect
63. #2512C22semidirect
64. #2506C22semidirect
65. #2497C22semidirect
73. #2426C22semidirect
74. #2426C22semidirect
77. #2422C22semidirect
83. #2367C22semidirect
85. #2362C22semidirect
87. Q8×C4⋊C4C22semidirect
88. #2346C22semidirect
90. C4×C22⋊Q8C22semidirect
92. C4×#121C22semidirect
94. #2099C22semidirect
96. #2086C22semidirect
97. #2084C22semidirect
98. #2077C22semidirect
99. #2071C22semidirect
100. #2067C22semidirect
102. #2065C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2065C22semidirect
106. #2058C22semidirect
109. #2054C22semidirect
113. #2041C22semidirect
114. #2041C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2023C22semidirect
122. #2012C22semidirect
123. #2012C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1988C22semidirect
135. #1983C22semidirect
137. #1982C22semidirect
139. #1973C22semidirect
140. #1970C22semidirect
142. #1957C22semidirect
144. #1941C22semidirect
145. #1939C22semidirect
147. #1936C22semidirect
148. #1936C22semidirect
149. #1936C22semidirect
151. #1934C22semidirect
153. #1926C22semidirect
154. #1926C22semidirect
156. #1925C22semidirect
157. #1925C22semidirect
158. #1924C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1919C22semidirect
163. #1919C22semidirect
164. #1917C22semidirect
165. #1916C22semidirect
166. #1895C22semidirect
167. #1894C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
179. #1872C22semidirect
181. #1865C22semidirect
182. #1865C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1854C22semidirect
188. #1852C22semidirect
189. #1851C22semidirect
190. #1824C22semidirect
192. #1802C22semidirect
193. #1797C22semidirect
197. #1776C22semidirect
198. #1771C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. #1753C22semidirect
202. #1749C22semidirect
565. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#593992
#590952
#321622
#318022
#314002
#312902
#311962
#309252
#304722
#290362
#281172
#273502
#271132
#269842
#269502
#267692
#266252
#266082
#263732
#249132
#247282
#244942
#244402
#242402
#241542
#235732
#231932
#228842
#223592
#220492