Finite Group Databasebeta

← #7325224

Subgroups — #7325224

Order 512.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53007C211yesmaximal, characteristic, complemented
2#45103C211yesmaximal, characteristic
3#31798C211yesmaximal, characteristic, complemented
4#31506C211yesmaximal, characteristic, complemented
5#31388C211yesmaximal, characteristic, complemented
6#31287C211yesmaximal, characteristic, complemented
7#31203C211yesmaximal, characteristic, complemented
8#31013C211yesmaximal, characteristic, complemented
9#30991C211yesmaximal, characteristic, complemented
10#30858C211yesmaximal, characteristic, complemented
11#30721C211yesmaximal, characteristic, complemented
12#30707C211yesmaximal, characteristic, complemented
13#30467C211yesmaximal, characteristic, complemented
14#30420C211yesmaximal, characteristic, complemented
15#29609C211yesmaximal, characteristic, complemented
16#29608C211yesmaximal, characteristic, complemented
17#29048C211yesmaximal, characteristic, complemented
18#27047C211yesmaximal, characteristic, complemented
19#26928C211yesmaximal, characteristic, complemented
20#26658C211yesmaximal, characteristic, complemented
21#26571C211yesmaximal, characteristic, complemented
22#25769C211yesmaximal, characteristic, complemented
23#25423C211yesmaximal, characteristic, complemented
24#25386C211yesmaximal, characteristic, complemented
25#25112C211yesmaximal, characteristic, complemented
26#24426C211yesmaximal, characteristic, complemented
27#24395C211yesmaximal, characteristic, complemented
28#24393C211yesmaximal, characteristic, complemented
29#24259C211yesmaximal, characteristic, complemented
30#24038C211yesmaximal, characteristic, complemented
31#22031C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#497C2211yescharacteristic
37C2×#484C2211yescharacteristic, complemented
38C2×#483C2211yescharacteristic
39C2×#483C2211yescharacteristic, complemented
40C2×#470C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic
42C2×#467C2211yescharacteristic
43C2×#467C2211yescharacteristic, complemented
44C2×#465C2211yescharacteristic
45C2×#464C2211yescharacteristic
46C2×#462C2211yescharacteristic, complemented
47C2×#461C2211yescharacteristic
48C2×#452C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#440C2211yescharacteristic
55C2×C8×D4C2211yescharacteristic
56C22×#102C2211yescharacteristic
57C2×#408C2211yescharacteristic, complemented
58#2841—21no—
59#2837—21no—
60#2837—21no—
61#2823—21no—
62#2792—21no—
63#2752—21no—
64#2705—21no—
65#2705—21no—
66#2680—21no—
67#2671—21no—
68#2671—21no—
69#2668—21no—
70#2616C2211yescharacteristic, complemented
71#2616C2211yescharacteristic, complemented
72#2542C2211yescharacteristic
73#2542C2211yescharacteristic
74#2538C2211yescharacteristic
75#2538C2211yescharacteristic
76#2537—21no—
77#2496C2211yescharacteristic, complemented
78#2496C2211yescharacteristic, complemented
79#2486C2211yescharacteristic
80#2437—21no—
81#2432C2211yescharacteristic
82#2432C2211yescharacteristic
83#2429C2211yescharacteristic, complemented
84#2429C2211yescharacteristic, complemented
85#2427C2211yescharacteristic
86#2427C2211yescharacteristic
87#2424—21no—
88#2424—21no—
89#2423C2211yescharacteristic, complemented
90#2423C2211yescharacteristic, complemented
91#2417C2211yescharacteristic
92#2417C2211yescharacteristic
93#2417C2211yescharacteristic
94#2417C2211yescharacteristic
95#2408C2211yescharacteristic
96#2388C2211yescharacteristic
97#2361C2211yescharacteristic
98#2361C2211yescharacteristic
99#2100C2211yescharacteristic, complemented
100#2093C2211yescharacteristic
101#2088C2211yescharacteristic, complemented
102#2076C2211yescharacteristic
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic
105#2068C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2055C2211yescharacteristic
110#2043C2211yescharacteristic, complemented
111#2043C2211yescharacteristic, complemented
112#2042C2211yescharacteristic
113#2042C2211yescharacteristic
114#2042C2211yescharacteristic
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic
125#2034C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2016C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2015C2211yescharacteristic
132#2001C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic
135#2001C2211yescharacteristic, complemented
136#2001C2211yescharacteristic, complemented
137#2001C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#1983C2211yescharacteristic
148#1971C2211yescharacteristic, complemented
149#1968C2211yescharacteristic
150#1959C2211yescharacteristic
151#1956C2211yescharacteristic, complemented
152#1955C2211yescharacteristic
153#1955C2211yescharacteristic
154#1947C2211yescharacteristic, complemented
155#1944C2211yescharacteristic, complemented
156#1943C2211yescharacteristic, complemented
157#1935C2211yescharacteristic, complemented
158#1934C2211yescharacteristic
159#1928C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1920C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1894C2211yescharacteristic, complemented
169#1893C2211yescharacteristic
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1872C2211yescharacteristic
178#1872C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1853C2211yescharacteristic
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199#1780C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201C4×#103C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#546—42no—
219#546—42no—
220#546—42no—
221#546—42no—
222#537—42no—
223#537—42no—
224#537—42no—
225#537—42no—
226C2×C4⋊Q8C2311yescharacteristic
227C2×C4⋊Q8C2311yescharacteristic
228C2×#126—21no—
229C2×#126—21no—
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280#497—42no—
281#484—42no—
282#483—42no—
283#483—42no—
284#470—42no—
285#468—42no—
286#467—42no—
287#467—42no—
288#465—42no—
289#464—42no—
290#462—42no—
291#461—42no—
292#452—42no—
293#452—42no—
294#452—42no—
295#452—42no—
296#450—42no—
297#450—42no—
298#440—42no—
299C8×D4—42no—
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#102—42no—
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344#408—42no—
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×C4×C8C2311yescharacteristic
361#400—21no—
362#400—21no—
363#399—21no—
364#399—21no—
365#399—21no—
366#399—21no—
367#399—21no—
368#399—21no—
369#398—21no—
370#398—21no—
371#398—21no—
372#398—21no—
373#398—21no—
374#398—21no—
375#398—21no—
376#398—21no—
377#398—21no—
378#397—21no—
379#397—21no—
380#397—21no—
381#397—21no—
382#397—21no—
383#396—21no—
384#396—21no—
385#396—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#396—21no—
392#396—21no—
393#395—21no—
394#395—21no—
395#395D411yescharacteristic
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394D411yescharacteristic
410#394D411yescharacteristic
411#394D411yescharacteristic
412#393D411yescharacteristic
413#392—21no—
414#392D411yescharacteristic
415#392D411yescharacteristic
416#392D411yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#391C2311yescharacteristic
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#389—21no—
428#389—21no—
429#389—21no—
430#389—21no—
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#387—21no—
444#387—21no—
445#387—21no—
446#387—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#384—21no—
462#384—21no—
463#384C2311yescharacteristic
464#384C2311yescharacteristic
465#381—21no—
466#380—21no—
467#380—21no—
468#380—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8C2×D411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C2×Q16—22no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×Q16—41no—
570C2×Q16—41no—
571C2×Q16—41no—
572C2×Q16—41no—
573C2×Q16—41no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C22×C8—22no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C4⋊Q8—41no—
606C4⋊Q8—41no—
607C4⋊Q8—41no—
608C4⋊Q8—41no—
609#126—82no—
610#126—82no—
611#124—22no—
612#124—22no—
613#124—41no—
614#124—41no—
615#123—44no—
616#123—44no—
617#123—82no—
618C22⋊Q8—22no—
619C22⋊Q8—22no—
620C22⋊Q8—22no—
621C22⋊Q8—22no—
622C22⋊Q8—44no—
623C22⋊Q8—44no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—22no—
654#121—44no—
655#121—44no—
656#121—41no—
657#121—41no—
658#121—44no—
659#121—44no—
660#121—44no—
661#121—44no—
662#121—44no—
663#121—44no—
664#120—44no—
665#120—44no—
666#120—82no—
667C4×Q8—41no—
668C4×Q8—41no—
669C4×Q8—41no—
670C4×Q8—41no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—82no—
682C4×D4—82no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—44no—
772C2×C22⋊C4—44no—
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792#107—22no—
793#107—22no—
794#107—41no—
795#107—41no—
796#106—22no—
797#106—22no—
798#106—41no—
799#106—41no—
800C4⋊C8—22no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803#103—22no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—22no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—22no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848#97—41no—
849#97—41no—
850C4×C8—41no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881C24—21no—
882C24—21no—
883C24—42no—
884C24—42no—
885C24—42no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892C24C22×D411yescharacteristic
893C24C22×D411yescharacteristic
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—41no—
931C2×Q8—41no—
932C2×Q8—41no—
933C2×D4—22no—
934C2×D4—24no—
935C2×D4—24no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—44no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—81no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4H(5,𝔽2)12yes—
987C2×D4H(5,𝔽2)12yes—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C2511yescharacteristic
1058Q16—82no—
1059Q16—82no—
1060Q16—82no—
1061Q16—82no—
1062SD16—44no—
1063SD16—82no—
1064SD16—82no—
1065SD16—82no—
1066M16—82no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—82no—
1091C2×C8—82no—
1092C2×C8H(5,𝔽2)12yes—
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—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4H(5,𝔽2)12yes—
1148C4⋊C4H(5,𝔽2)12yes—
1149C22⋊C4—24no—
1150C22⋊C4—24no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—42no—
1204C42—42no—
1205C42—81no—
1206C42—81no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—22no—
1220C23—22no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—84no—
1249C23—84no—
1250C23—84no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23#57812yes—
1256C23C23×D411yescharacteristic
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—82no—
1274D4—22no—
1275D4—22no—
1276D4—22no—
1277D4—22no—
1278D4—44no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—82no—
1284D4—82no—
1285D4—84no—
1286D4—84no—
1287D4—84no—
1288D4—82no—
1289D4—82no—
1290D4—82no—
1291D4—84no—
1292D4—84no—
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—22no—
1310C2×C4—22no—
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—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4#57712yes—
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4#58511yescharacteristic
1396C8—22no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—42no—
1430C22—41no—
1431C22—41no—
1432C22—42no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—42no—
1437C22—41no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—168no—
1447C22#348411yescharacteristic
1448C22#348411yescharacteristic
1449C22#349611yescharacteristic
1450C22C2×#57711yescharacteristic
1451C22C2×#57811yescharacteristic
1452C22#358511yescharacteristic
1453C22#358611yescharacteristic
1454C4—22no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—42no—
1464C4—41no—
1465C4—42no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4#353411yescharacteristic
1479C4#353711yescharacteristic
1480C4#354311yescharacteristic
1481C4#354611yescharacteristic
1482C2—42no—
1483C2—81no—
1484C2—81no—
1485C2—81no—
1486C2—82no—
1487C2—82no—
1488C2#4792811yescharacteristic
1489C2#6161911yescharacteristic
1490C2#6162211yescharacteristic
1491C2#6168011yescharacteristic
1492C2#6168511yescharacteristic
1493C2#6228111yescharacteristic
1494C2#6233811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#45103C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53007C2semidirect
3. #31798C2semidirect
4. #31506C2semidirect
5. #31388C2semidirect
6. #31287C2semidirect
7. #31203C2semidirect
8. #31013C2semidirect
9. #30991C2semidirect
10. #30858C2semidirect
11. #30721C2semidirect
12. #30707C2semidirect
13. #30467C2semidirect
14. #30420C2semidirect
15. #29609C2semidirect
16. #29608C2semidirect
17. #29048C2semidirect
18. #27047C2semidirect
19. #26928C2semidirect
20. #26658C2semidirect
21. #26571C2semidirect
22. #25769C2semidirect
23. #25423C2semidirect
24. #25386C2semidirect
25. #25112C2semidirect
26. #24426C2semidirect
27. #24395C2semidirect
28. #24393C2semidirect
29. #24259C2semidirect
30. #24038C2semidirect
31. #22031C2semidirect
37. C2×#484C22semidirect
39. C2×#483C22semidirect
40. C2×#470C22semidirect
43. C2×#467C22semidirect
46. C2×#462C22semidirect
57. C2×#408C22semidirect
70. #2616C22semidirect
71. #2616C22semidirect
77. #2496C22semidirect
78. #2496C22semidirect
83. #2429C22semidirect
84. #2429C22semidirect
89. #2423C22semidirect
90. #2423C22semidirect
99. #2100C22semidirect
101. #2088C22semidirect
103. #2072C22semidirect
105. #2068C22semidirect
106. #2066C22semidirect
107. #2066C22semidirect
110. #2043C22semidirect
111. #2043C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
122. #2035C22semidirect
129. #2016C22semidirect
130. #2016C22semidirect
135. #2001C22semidirect
136. #2001C22semidirect
137. #2001C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
148. #1971C22semidirect
151. #1956C22semidirect
154. #1947C22semidirect
155. #1944C22semidirect
156. #1943C22semidirect
157. #1935C22semidirect
159. #1928C22semidirect
160. #1927C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1920C22semidirect
168. #1894C22semidirect
172. #1892C22semidirect
175. #1878C22semidirect
178. #1872C22semidirect
179. #1872C22semidirect
185. #1863C22semidirect
188. #1853C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
199. #1780C22semidirect
201. C4×#103C22semidirect
202. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#530072
#451032
#317982
#315062
#313882
#312872
#312032
#310132
#309912
#308582
#307212
#307072
#304672
#304202
#296092
#296082
#290482
#270472
#269282
#266582
#265712
#257692
#254232
#253862
#251122
#244262
#243952
#243932
#242592
#240382
#220312