Finite Group Databasebeta

← #7026259

Subgroups — #7026259

Order 512.

1952 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#32078C211yesmaximal, characteristic, complemented
4#31886C211yesmaximal, characteristic, complemented
5#31727C211yesmaximal, characteristic, complemented
6#31290C211yesmaximal, characteristic, complemented
7#30984C211yesmaximal, characteristic, complemented
8#30689C211yesmaximal, characteristic, complemented
9#30579C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#28873C211yesmaximal, characteristic, complemented
12#28123C211yesmaximal, characteristic, complemented
13#27403C211yesmaximal, characteristic, complemented
14#27062C211yesmaximal, characteristic, complemented
15#27049C211yesmaximal, characteristic, complemented
16#26929C211yesmaximal, characteristic, complemented
17#26901C211yesmaximal, characteristic, complemented
18#26733C211yesmaximal, characteristic, complemented
19#26163C211yesmaximal, characteristic, complemented
20#25416C211yesmaximal, characteristic, complemented
21#25380C211yesmaximal, characteristic, complemented
22#25152C211yesmaximal, characteristic, complemented
23#25093C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#24152C211yesmaximal, characteristic, complemented
27#23570C211yesmaximal, characteristic, complemented
28#22997C211yesmaximal, characteristic, complemented
29#22584C211yesmaximal, characteristic, complemented
30#22365C211yesmaximal, characteristic, complemented
31#22040C211yesmaximal, characteristic, complemented
32C2×#546—21no—
33C2×D42C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#496C2211yescharacteristic, complemented
36C2×#484C2211yescharacteristic, complemented
37C2×#476C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#468C2211yescharacteristic, complemented
40C2×#460C2211yescharacteristic
41C2×#460C2211yescharacteristic
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#450C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×C4×SD16C2211yescharacteristic
49C2×C4×SD16C2211yescharacteristic, complemented
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#2094C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2087C2211yescharacteristic, complemented
98#2083C2211yescharacteristic, complemented
99#2071C2211yescharacteristic, complemented
100#2067C2211yescharacteristic
101#2067C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic
104#2058C2211yescharacteristic, complemented
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2024C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1987C2211yescharacteristic, complemented
135#1982C2211yescharacteristic, complemented
136#1982C2211yescharacteristic, complemented
137#1970C2211yescharacteristic
138#1970C2211yescharacteristic, complemented
139#1970C2211yescharacteristic, complemented
140#1957C2211yescharacteristic
141#1957C2211yescharacteristic
142#1954C2211yescharacteristic
143#1948C2211yescharacteristic, complemented
144#1944C2211yescharacteristic, complemented
145#1940C2211yescharacteristic, complemented
146#1936C2211yescharacteristic
147#1934C2211yescharacteristic
148#1934C2211yescharacteristic, complemented
149#1934C2211yescharacteristic, complemented
150#1934C2211yescharacteristic, complemented
151#1934C2211yescharacteristic, complemented
152#1926C2211yescharacteristic
153#1925C2211yescharacteristic
154#1925C2211yescharacteristic
155#1925C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1920C2211yescharacteristic, complemented
163#1918C2211yescharacteristic, complemented
164#1916C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1870C2211yescharacteristic
180#1865C2211yescharacteristic, complemented
181#1864C2211yescharacteristic
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1802C2211yescharacteristic
192#1797C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196C8×C4⋊C4C2211yescharacteristic, complemented
197#1762C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, 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—42no—
275#484—42no—
276#476—42no—
277#469—42no—
278#468—42no—
279#463—42no—
280#460—24no—
281#460—42no—
282#459—42no—
283#450—42no—
284#450—42no—
285#447—24no—
286#447—42no—
287C4×SD16—42no—
288C4×SD16—42no—
289C4×SD16—42no—
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
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—24no—
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×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
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—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
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—22no—
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#107—41no—
770#107—41no—
771#106—22no—
772#106—22no—
773#106—41no—
774#106—41no—
775C4⋊C8—22no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780#103—22no—
781#103—22no—
782#103—22no—
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—41no—
793#102—41no—
794#102—41no—
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#4114yescomplemented
812C22⋊C8—22no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819#97—41no—
820C4×C8—41no—
821C4×C8—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×Q8H(5,𝔽2)12yes—
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—22no—
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—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—44no—
1036SD16—82no—
1037D8—82no—
1038D8—82no—
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—22no—
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—21no—
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⋊C4C2×#4112yes—
1109C4⋊C4H(5,𝔽2)12yes—
1110C22⋊C4—24no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—22no—
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—22no—
1189C23—22no—
1190C23—21no—
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—22no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—22no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—22no—
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—44no—
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—82no—
1361C2×C4—84no—
1362C2×C4—84no—
1363C2×C4—84no—
1364C2×C4—162no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4C2×AGL(1,ℤ/8)12yes—
1368C2×C4C2×AGL(1,ℤ/8)12yes—
1369C2×C4C2×AGL(1,ℤ/8)12yes—
1370C2×C4#57612yes—
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—42no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
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×#57611yescharacteristic
1441C22C2×#57711yescharacteristic
1442C22#358411yescharacteristic
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—41no—
1448C4—41no—
1449C4—42no—
1450C4—41no—
1451C4—41no—
1452C4—42no—
1453C4—41no—
1454C4—41no—
1455C4—42no—
1456C4—41no—
1457C4—41no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4#349411yescharacteristic
1467C4#351911yescharacteristic
1468C4#353411yescharacteristic
1469C4#356211yescharacteristic
1470C2—42no—
1471C2—81no—
1472C2—82no—
1473C2—82no—
1474C2—161no—
1475C2—161no—
1476C2—161no—
1477C2#4310711yescharacteristic
1478C2#6143911yescharacteristic
1479C2#6149611yescharacteristic
1480C2#6160011yescharacteristic
1481C2#6163911yescharacteristic
1482C2#6200111yescharacteristic
1483C2#6206611yescharacteristic
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. #32078C2semidirect
4. #31886C2semidirect
5. #31727C2semidirect
6. #31290C2semidirect
7. #30984C2semidirect
8. #30689C2semidirect
9. #30579C2semidirect
10. #30472C2semidirect
11. #28873C2semidirect
12. #28123C2semidirect
13. #27403C2semidirect
14. #27062C2semidirect
15. #27049C2semidirect
16. #26929C2semidirect
17. #26901C2semidirect
18. #26733C2semidirect
19. #26163C2semidirect
20. #25416C2semidirect
21. #25380C2semidirect
22. #25152C2semidirect
23. #25093C2semidirect
24. #24440C2semidirect
25. #24240C2semidirect
26. #24152C2semidirect
27. #23570C2semidirect
28. #22997C2semidirect
29. #22584C2semidirect
30. #22365C2semidirect
31. #22040C2semidirect
35. C2×#496C22semidirect
36. C2×#484C22semidirect
37. C2×#476C22semidirect
39. C2×#468C22semidirect
42. C2×#463C22semidirect
43. C2×#459C22semidirect
49. C2×C4×SD16C22semidirect
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. #2094C22semidirect
95. #2093C22semidirect
96. #2088C22semidirect
97. #2087C22semidirect
98. #2083C22semidirect
99. #2071C22semidirect
101. #2067C22semidirect
102. #2067C22semidirect
104. #2058C22semidirect
106. #2055C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2042C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
114. #2041C22semidirect
115. #2036C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2033C22semidirect
123. #2024C22semidirect
124. #2014C22semidirect
130. #2000C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1987C22semidirect
135. #1982C22semidirect
136. #1982C22semidirect
138. #1970C22semidirect
139. #1970C22semidirect
143. #1948C22semidirect
144. #1944C22semidirect
145. #1940C22semidirect
148. #1934C22semidirect
149. #1934C22semidirect
150. #1934C22semidirect
151. #1934C22semidirect
155. #1925C22semidirect
156. #1925C22semidirect
157. #1925C22semidirect
158. #1924C22semidirect
159. #1923C22semidirect
160. #1923C22semidirect
161. #1923C22semidirect
162. #1920C22semidirect
163. #1918C22semidirect
164. #1916C22semidirect
165. #1916C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
177. #1875C22semidirect
178. #1874C22semidirect
180. #1865C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
186. #1852C22semidirect
187. #1851C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1809C22semidirect
192. #1797C22semidirect
196. C8×C4⋊C4C22semidirect
197. #1762C22semidirect
198. C4×#103C22semidirect
199. C4×#102C22semidirect
200. C4×#102C22semidirect
201. #1753C22semidirect
202. C4×C22⋊C8C22semidirect
811. #102#41semidirect

Maximal subgroups

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

subgroupindex
#593992
#590952
#320782
#318862
#317272
#312902
#309842
#306892
#305792
#304722
#288732
#281232
#274032
#270622
#270492
#269292
#269012
#267332
#261632
#254162
#253802
#251522
#250932
#244402
#242402
#241522
#235702
#229972
#225842
#223652
#220402