Finite Group Databasebeta

← #7162040

Subgroups — #7162040

Order 512.

1965 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59124C211yesmaximal, characteristic, complemented
2#39905C211yesmaximal, characteristic, complemented
3#32180C211yesmaximal, characteristic, complemented
4#32178C211yesmaximal, characteristic, complemented
5#31665C211yesmaximal, characteristic, complemented
6#31662C211yesmaximal, characteristic, complemented
7#31004C211yesmaximal, characteristic, complemented
8#30984C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30527C211yesmaximal, characteristic, complemented
11#28890C211yesmaximal, characteristic, complemented
12#28881C211yesmaximal, characteristic, complemented
13#28746C211yesmaximal, characteristic, complemented
14#28435C211yesmaximal, characteristic, complemented
15#28413C211yesmaximal, characteristic, complemented
16#27780C211yesmaximal, characteristic, complemented
17#27240C211yesmaximal, characteristic, complemented
18#27224C211yesmaximal, characteristic, complemented
19#26472C211yesmaximal, characteristic, complemented
20#26332C211yesmaximal, characteristic, complemented
21#25725C211yesmaximal, characteristic, complemented
22#25637C211yesmaximal, characteristic, complemented
23#25380C211yesmaximal, characteristic, complemented
24#24917C211yesmaximal, characteristic, complemented
25#24893C211yesmaximal, characteristic, complemented
26#24656C211yesmaximal, characteristic, complemented
27#23764C211yesmaximal, characteristic, complemented
28#23195C211yesmaximal, characteristic, complemented
29#23053C211yesmaximal, characteristic, complemented
30#22545C211yesmaximal, characteristic, complemented
31#21810C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546—21no—
34C22×#127C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#490C2211yescharacteristic, complemented
38C2×#486C2211yescharacteristic, complemented
39C2×#478C2211yescharacteristic, complemented
40C2×#476C2211yescharacteristic, complemented
41C2×#460C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#450C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#446C2211yescharacteristic, complemented
49C2×#440C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic, complemented
51C2×#432C2211yescharacteristic
52#2850C2211yescharacteristic
53#2770—21no—
54#2759—21no—
55#2737—21no—
56#2687—21no—
57#2673—21no—
58#2673—21no—
59#2653—21no—
60#2592C2211yescharacteristic, complemented
61#2565C2211yescharacteristic, complemented
62#2563C2211yescharacteristic, complemented
63#2550C2211yescharacteristic, complemented
64#2548C2211yescharacteristic
65#2541C2211yescharacteristic
66#2541C2211yescharacteristic
67#2541C2211yescharacteristic
68#2532—21no—
69#2530—21no—
70#2514C2211yescharacteristic, complemented
71#2513C2211yescharacteristic, complemented
72#2492C2211yescharacteristic
73#2490C2211yescharacteristic
74#2445C2211yescharacteristic
75#2445C2211yescharacteristic
76#2433C2211yescharacteristic
77#2433C2211yescharacteristic
78#2431—21no—
79#2428—21no—
80#2422C2211yescharacteristic
81#2421C2211yescharacteristic
82#2410—21no—
83#2410—21no—
84#2408—21no—
85#2367C2211yescharacteristic, complemented
86#2366C2211yescharacteristic
87#2355C2211yescharacteristic, complemented
88D4×C22⋊C4C2211yescharacteristic
89D4×C22⋊C4C2211yescharacteristic
90#2335—21no—
91C4×C22⋊Q8C2211yescharacteristic
92C4×#121C2211yescharacteristic
93#2283C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2092C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2077C2211yescharacteristic
100#2075C2211yescharacteristic
101#2073C2211yescharacteristic, complemented
102#2073C2211yescharacteristic, complemented
103#2071C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2035C2211yescharacteristic
115#2034C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2023C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2014C2211yescharacteristic
123#2014C2211yescharacteristic
124#2014C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2014C2211yescharacteristic, complemented
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic, complemented
130#2011C2211yescharacteristic, complemented
131#2011C2211yescharacteristic, complemented
132#2000C2211yescharacteristic
133#1999C2211yescharacteristic
134#1985C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1982C2211yescharacteristic
137#1982C2211yescharacteristic
138#1982C2211yescharacteristic
139#1982C2211yescharacteristic
140#1982C2211yescharacteristic, complemented
141#1982C2211yescharacteristic, complemented
142#1973C2211yescharacteristic, complemented
143#1973C2211yescharacteristic, complemented
144#1972C2211yescharacteristic, complemented
145#1972C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1961C2211yescharacteristic
151#1961C2211yescharacteristic
152#1961C2211yescharacteristic
153#1961C2211yescharacteristic
154#1961C2211yescharacteristic
155#1961C2211yescharacteristic
156#1961C2211yescharacteristic, complemented
157#1957C2211yescharacteristic, complemented
158#1949C2211yescharacteristic, complemented
159#1940C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1924C2211yescharacteristic
169#1924C2211yescharacteristic
170#1923C2211yescharacteristic
171#1923C2211yescharacteristic
172#1917C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1804C2211yescharacteristic, complemented
187#1804C2211yescharacteristic, complemented
188#1802C2211yescharacteristic, complemented
189#1786C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1776C2211yescharacteristic, complemented
194#1776C2211yescharacteristic, complemented
195#1771C2211yescharacteristic, complemented
196#1771C2211yescharacteristic, complemented
197#1770C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1749C2211yescharacteristic
203C22×#41—21no—
204C23×D4—21no—
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218#550—24no—
219#550—42no—
220#546—48no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×#127—24no—
223C2×#127—21no—
224C2×#127—21no—
225C2×#127—42no—
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#124—21no—
236C2×#124C2311yescharacteristic
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×C22⋊Q8D411yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#120—21no—
254C2×#120—21no—
255C2×#120—21no—
256C2×#120—21no—
257C2×C4×Q8C2311yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C22×C22⋊C4—21no—
268C22×C22⋊C4—21no—
269C22×C42C2311yescharacteristic
270#496—24no—
271#496—42no—
272#490—42no—
273#486—42no—
274#478—42no—
275#476—42no—
276#463—42no—
277#460—42no—
278#459—42no—
279#450—42no—
280#450—42no—
281#447—42no—
282#447—42no—
283#446—42no—
284#440—42no—
285C4×D8—42no—
286#432—42no—
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347#401—21no—
348#400—21no—
349#400—21no—
350#400—21no—
351#398—21no—
352#398—21no—
353#398—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#395—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#393—21no—
370#393—21no—
371#393—21no—
372#393—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#391—21no—
384#391—21no—
385#391—21no—
386#391D411yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#390—21no—
392#390—21no—
393#390—21no—
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#389—21no—
408#389D411yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
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#387—21no—
425#387—21no—
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#386—21no—
442#386—21no—
443#385—21no—
444#385—21no—
445#385D411yescharacteristic
446#385D411yescharacteristic
447#384C2311yescharacteristic
448#383—21no—
449#383—21no—
450#382C2311yescharacteristic
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#382C2311yescharacteristic
454#381—21no—
455#380—21no—
456#380—21no—
457#380D411yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462#379—21no—
463C4×C4⋊C4—21no—
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477#376—21no—
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×Q8C2×D411yescharacteristic
507C22×Q8C2411yescharacteristic
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—21no—
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—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
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×D4—41no—
540C22×D4—44no—
541C22×D4—44no—
542C22×D4—44no—
543C22×D4—82no—
544C22×D4—82no—
545C22×D4—82no—
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4C2×D411yescharacteristic
559C23×C4C2×D411yescharacteristic
560C23×C4C2411yescharacteristic
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C4⋊Q8—41no—
600C4⋊Q8—41no—
601#127—22no—
602#127—22no—
603#127—22no—
604#127—22no—
605#127—22no—
606#127—22no—
607#127—22no—
608#127—41no—
609#127—41no—
610#127—41no—
611#127—41no—
612#127—41no—
613#127—41no—
614#127—41no—
615#127—41no—
616#127—44no—
617#127—44no—
618#127#4114yes—
619#125—41no—
620#125—41no—
621#124—22no—
622#124—22no—
623#124—44no—
624#123—44no—
625#123—44no—
626#123—44no—
627C22⋊Q8—24no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630#121—41no—
631#121—41no—
632#121—44no—
633#121—44no—
634#121—44no—
635#121—44no—
636#121—44no—
637#121—44no—
638#121—41no—
639#121—41no—
640#121—82no—
641#121—82no—
642#121—82no—
643#120—44no—
644#120—44no—
645#120—82no—
646#120—82no—
647C4×Q8—22no—
648C4×Q8—22no—
649C4×Q8—41no—
650C4×Q8—41no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—44no—
664C4×D4—44no—
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⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
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—44no—
734C2×C22⋊C4—44no—
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C42—22no—
740C2×C42—22no—
741C2×C42—21no—
742C2×C42—21no—
743C2×C42—21no—
744C2×C42—21no—
745C2×C42—21no—
746C2×C42—21no—
747C2×C42C2×D411yescharacteristic
748C2×C42C2×D411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751C2×C42C2411yescharacteristic
752C2×C42C2411yescharacteristic
753C2×C42C2411yescharacteristic
754C2×C42C2411yescharacteristic
755#107—22no—
756#107—41no—
757#107—41no—
758#106—22no—
759#106—41no—
760#106—41no—
761C4⋊C8—22no—
762C4⋊C8—22no—
763C4⋊C8—22no—
764C4⋊C8—22no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767#103—41no—
768#103—41no—
769#103—41no—
770#102—22no—
771#102—22no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—41no—
777#102—41no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
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—
803C22⋊C8—22no—
804C22⋊C8—22no—
805C22⋊C8—41no—
806C22⋊C8—41no—
807#97—22no—
808#97—22no—
809#97—22no—
810#97—41no—
811#97—41no—
812#97—41no—
813C4×C8—22no—
814C4×C8—41no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
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—21no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24C22×D411yescharacteristic
873#41—816no—
874C2×Q8—22no—
875C2×Q8—22no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—41no—
883C2×Q8—81no—
884C2×Q8—81no—
885C2×Q8—81no—
886C2×D4—24no—
887C2×D4—24no—
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—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×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—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—816no—
987C2×D4—816no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4C2×#4112yes—
991C2×D4C2×#4112yes—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
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—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C2511yescharacteristic
1046SD16—44no—
1047SD16—82no—
1048SD16—82no—
1049SD16—82no—
1050SD16—82no—
1051D8—44no—
1052D8—82no—
1053D8—82no—
1054D8—82no—
1055D8—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×C8H(5,𝔽2)12yes—
1079C2×C8H(5,𝔽2)12yes—
1080C4⋊C4—22no—
1081C4⋊C4—22no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
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—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
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—
1117C22⋊C4—22no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
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—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
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—
1160C22⋊C4AGL(1,ℤ/8)14yes—
1161C42—22no—
1162C42—22no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—42no—
1174C42—81no—
1175C42—81no—
1176C42—81no—
1177C42—81no—
1178C42—81no—
1179C42C2×#4112yes—
1180C42H(5,𝔽2)12yes—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—22no—
1188C23—22no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
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—41no—
1229C23—84no—
1230C23—84no—
1231C23—84no—
1232C23—84no—
1233C23—84no—
1234C23—84no—
1235C23—84no—
1236C23—84no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23C2×AGL(1,ℤ/8)12yes—
1244C23C23×D411yescharacteristic
1245Q8—44no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—162no—
1251D4—22no—
1252D4—22no—
1253D4—22no—
1254D4—22no—
1255D4—48no—
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—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—84no—
1287D4—84no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
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—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—44no—
1331C2×C4—44no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4#54612yes—
1373C2×C4#54612yes—
1374C2×C4C2×AGL(1,ℤ/8)12yes—
1375C2×C4C2×AGL(1,ℤ/8)12yes—
1376C2×C4C22×#4111yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4#58511yescharacteristic
1381C2×C4#58511yescharacteristic
1382C8—22no—
1383C8—22no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—81no—
1404C22—81no—
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—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—168no—
1440C22—168no—
1441C22C2×#54611yescharacteristic
1442C22#348711yescharacteristic
1443C22#349811yescharacteristic
1444C22C22×AGL(1,ℤ/8)11yescharacteristic
1445C22#358511yescharacteristic
1446C22#358511yescharacteristic
1447C22#358511yescharacteristic
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4#351311yescharacteristic
1472C4#351411yescharacteristic
1473C4#354611yescharacteristic
1474C4#355811yescharacteristic
1475C2—42no—
1476C2—82no—
1477C2—82no—
1478C2—161no—
1479C2—161no—
1480C2—161no—
1481C2—161no—
1482C2#4501811yescharacteristic
1483C2#6115511yescharacteristic
1484C2#6117511yescharacteristic
1485C2#6189011yescharacteristic
1486C2#6194511yescharacteristic
1487C2#6244111yescharacteristic
1488C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×C22⋊Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59124C2semidirect
2. #39905C2semidirect
3. #32180C2semidirect
4. #32178C2semidirect
5. #31665C2semidirect
6. #31662C2semidirect
7. #31004C2semidirect
8. #30984C2semidirect
9. #30539C2semidirect
10. #30527C2semidirect
11. #28890C2semidirect
12. #28881C2semidirect
13. #28746C2semidirect
14. #28435C2semidirect
15. #28413C2semidirect
16. #27780C2semidirect
17. #27240C2semidirect
18. #27224C2semidirect
19. #26472C2semidirect
20. #26332C2semidirect
21. #25725C2semidirect
22. #25637C2semidirect
23. #25380C2semidirect
24. #24917C2semidirect
25. #24893C2semidirect
26. #24656C2semidirect
27. #23764C2semidirect
28. #23195C2semidirect
29. #23053C2semidirect
30. #22545C2semidirect
31. #21810C2semidirect
37. C2×#490C22semidirect
38. C2×#486C22semidirect
39. C2×#478C22semidirect
40. C2×#476C22semidirect
41. C2×#460C22semidirect
42. C2×#463C22semidirect
43. C2×#459C22semidirect
48. C2×#446C22semidirect
49. C2×#440C22semidirect
50. C2×C4×D8C22semidirect
60. #2592C22semidirect
61. #2565C22semidirect
62. #2563C22semidirect
63. #2550C22semidirect
70. #2514C22semidirect
71. #2513C22semidirect
85. #2367C22semidirect
87. #2355C22semidirect
94. #2101C22semidirect
95. #2093C22semidirect
96. #2092C22semidirect
97. #2092C22semidirect
98. #2085C22semidirect
101. #2073C22semidirect
102. #2073C22semidirect
103. #2071C22semidirect
104. #2067C22semidirect
105. #2067C22semidirect
106. #2055C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2054C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2023C22semidirect
121. #2023C22semidirect
124. #2014C22semidirect
125. #2014C22semidirect
126. #2014C22semidirect
129. #2011C22semidirect
130. #2011C22semidirect
131. #2011C22semidirect
134. #1985C22semidirect
135. #1983C22semidirect
140. #1982C22semidirect
141. #1982C22semidirect
142. #1973C22semidirect
143. #1973C22semidirect
144. #1972C22semidirect
145. #1972C22semidirect
146. #1972C22semidirect
147. #1970C22semidirect
148. #1968C22semidirect
149. #1968C22semidirect
156. #1961C22semidirect
157. #1957C22semidirect
158. #1949C22semidirect
159. #1940C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1935C22semidirect
163. #1934C22semidirect
164. #1926C22semidirect
165. #1926C22semidirect
166. #1926C22semidirect
167. #1925C22semidirect
172. #1917C22semidirect
173. #1917C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1864C22semidirect
185. #1862C22semidirect
186. #1804C22semidirect
187. #1804C22semidirect
188. #1802C22semidirect
193. #1776C22semidirect
194. #1776C22semidirect
195. #1771C22semidirect
196. #1771C22semidirect
197. #1770C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#591242
#399052
#321802
#321782
#316652
#316622
#310042
#309842
#305392
#305272
#288902
#288812
#287462
#284352
#284132
#277802
#272402
#272242
#264722
#263322
#257252
#256372
#253802
#249172
#248932
#246562
#237642
#231952
#230532
#225452
#218102