Finite Group Databasebeta

← #6990061

Subgroups — #6990061

Order 512.

1718 conjugacy classes of subgroups.

The subgroup lattice has 1477 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39130C211yesmaximal, characteristic, complemented
2#38034C211yesmaximal, characteristic, complemented
3#32731C211yesmaximal, characteristic, complemented
4#32727C211yesmaximal, characteristic, complemented
5#31401C211yesmaximal, characteristic, complemented
6#31385C211yesmaximal, characteristic, complemented
7#30732C211yesmaximal, characteristic, complemented
8#30702C211yesmaximal, characteristic, complemented
9#30511C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30422C211yesmaximal, characteristic, complemented
12#30400C211yesmaximal, characteristic, complemented
13#30036C211yesmaximal, characteristic, complemented
14#30007C211yesmaximal, characteristic, complemented
15#29813C211yesmaximal, characteristic, complemented
16#29721C211yesmaximal, characteristic, complemented
17#29720C211yesmaximal, characteristic, complemented
18#28130C211yesmaximal, characteristic, complemented
19#28119C211yesmaximal, characteristic, complemented
20#26329C211yesmaximal, characteristic, complemented
21#26245C211yesmaximal, characteristic, complemented
22#25762C211yesmaximal, characteristic, complemented
23#25635C211yesmaximal, characteristic, complemented
24#24991C211yesmaximal, characteristic, complemented
25#24968C211yesmaximal, characteristic, complemented
26#24767C211yesmaximal, characteristic, complemented
27#24763C211yesmaximal, characteristic, complemented
28#24257C211yesmaximal, characteristic, complemented
29#24204C211yesmaximal, characteristic, complemented
30#23712C211yesmaximal, characteristic, complemented
31#21855C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C2×#495C2211yescharacteristic
36C2×#485C2211yescharacteristic
37C2×#482C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#468C2211yescharacteristic
40C2×#466C2211yescharacteristic
41C2×#465C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic
44C2×#452C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#442C2211yescharacteristic
51C2×#433C2211yescharacteristic, complemented
52C2×#424C2211yescharacteristic, complemented
53#2854C2211yescharacteristic
54#2850C2211yescharacteristic, complemented
55#2733—21no—
56#2730—21no—
57#2703—21no—
58#2697—21no—
59#2694—21no—
60#2681—21no—
61#2678—21no—
62#2673—21no—
63#2625C2211yescharacteristic
64#2620C2211yescharacteristic
65#2620C2211yescharacteristic, complemented
66#2619C2211yescharacteristic
67#2592C2211yescharacteristic
68#2558—21no—
69#2554—21no—
70#2554—21no—
71#2541C2211yescharacteristic, complemented
72#2540C2211yescharacteristic
73#2540C2211yescharacteristic
74#2538C2211yescharacteristic
75#2537C2211yescharacteristic
76#2536C2211yescharacteristic, complemented
77#2535C2211yescharacteristic
78#2480—21no—
79#2472—21no—
80#2467—21no—
81#2456—21no—
82#2445—21no—
83#2415C2211yescharacteristic
84#2414C2211yescharacteristic
85#2408C2211yescharacteristic
86#2407C2211yescharacteristic
87#2355C2211yescharacteristic, complemented
88#2354C2211yescharacteristic
89#2324C2211yescharacteristic
90#2324C2211yescharacteristic, complemented
91#2323C2211yescharacteristic
92#2309C2211yescharacteristic
93C4×#121C2211yescharacteristic, complemented
94#2297C2211yescharacteristic
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2097C2211yescharacteristic, complemented
98#2092C2211yescharacteristic
99#2088C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic
102#2076C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic
105#2073C2211yescharacteristic
106#2073C2211yescharacteristic
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic
109#2067C2211yescharacteristic, complemented
110#2066C2211yescharacteristic, complemented
111#2065C2211yescharacteristic
112#2065C2211yescharacteristic, complemented
113#2056C2211yescharacteristic, complemented
114#2055C2211yescharacteristic
115#2055C2211yescharacteristic
116#2055C2211yescharacteristic, complemented
117#2055C2211yescharacteristic, complemented
118#2054C2211yescharacteristic
119#2054C2211yescharacteristic
120#2054C2211yescharacteristic
121#2054C2211yescharacteristic
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2035C2211yescharacteristic
125#2035C2211yescharacteristic
126#2035C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1985C2211yescharacteristic, complemented
152#1984C2211yescharacteristic, complemented
153#1983C2211yescharacteristic
154#1983C2211yescharacteristic, complemented
155#1959C2211yescharacteristic
156#1959C2211yescharacteristic, complemented
157#1955C2211yescharacteristic
158#1954C2211yescharacteristic
159#1948C2211yescharacteristic, complemented
160#1947C2211yescharacteristic, complemented
161#1928C2211yescharacteristic, complemented
162#1928C2211yescharacteristic, complemented
163#1926C2211yescharacteristic
164#1926C2211yescharacteristic
165#1925C2211yescharacteristic
166#1925C2211yescharacteristic
167#1920C2211yescharacteristic, complemented
168#1920C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1878C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1834C2211yescharacteristic, complemented
190#1825C2211yescharacteristic
191#1825C2211yescharacteristic, complemented
192#1802C2211yescharacteristic
193#1802C2211yescharacteristic, complemented
194#1798C2211yescharacteristic
195#1798C2211yescharacteristic
196#1797C2211yescharacteristic, complemented
197#1797C2211yescharacteristic, complemented
198#1788C2211yescharacteristic
199#1786C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#559—42no—
217#559—42no—
218#546—42no—
219#546—42no—
220C2×#127—21no—
221C2×#127C2311yescharacteristic
222#529—42no—
223#529—42no—
224C2×#126D411yescharacteristic
225C2×#126D411yescharacteristic
226C2×#125D411yescharacteristic
227C2×#124—21no—
228C2×#124D411yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123D411yescharacteristic
237C2×#123D411yescharacteristic
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8D411yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121D411yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×C4×Q8C2311yescharacteristic
260C2×C4×Q8C2311yescharacteristic
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C42C2311yescharacteristic
275#495—42no—
276#485—42no—
277#482—42no—
278#469—42no—
279#468—42no—
280#466—42no—
281#465—42no—
282#463—42no—
283#463—42no—
284#452—42no—
285#450—42no—
286#449—42no—
287#449—42no—
288#447—42no—
289#447—42no—
290#442—42no—
291#433—42no—
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299#424—42no—
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#400—21no—
349#399—21no—
350#399—21no—
351#398—21no—
352#398—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#393—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#391—21no—
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#389—21no—
413#389—21no—
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#379—21no—
465#379—21no—
466#379—21no—
467C4×C4⋊C4—21no—
468C4×C4⋊C4—21no—
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—22no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C22×Q8C2×D411yescharacteristic
510C22×Q8C2411yescharacteristic
511C22×Q8C2411yescharacteristic
512C22×D4—22no—
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×D4C2×D411yescharacteristic
532C22×D4C2×D411yescharacteristic
533C22×D4C2×D411yescharacteristic
534C22×D4C2411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4C2×D411yescharacteristic
543C23×C4C2×D411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547C2×Q16—41no—
548C2×Q16—41no—
549C2×Q16—41no—
550C2×SD16—22no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×SD16—41no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8—41no—
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588#127—41no—
589#127—41no—
590#127—82no—
591#126—42no—
592#126—42no—
593#125—42no—
594#124—22no—
595#124—22no—
596#124—22no—
597#124—22no—
598#124—41no—
599#124—41no—
600#124—42no—
601#124—44no—
602#123—42no—
603#123—42no—
604#123—44no—
605#123—44no—
606#123—44no—
607#123—82no—
608C22⋊Q8—22no—
609C22⋊Q8—42no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—82no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—42no—
624#121—44no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—82no—
641#120—44no—
642#120—82no—
643C4×Q8—22no—
644C4×Q8—22no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—22no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—44no—
660C4×D4—82no—
661#117—22no—
662#117—22no—
663#117—41no—
664#117—41no—
665#117—41no—
666#117—41no—
667#117—41no—
668#117—41no—
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—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×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—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—44no—
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—41no—
769C2×C42—41no—
770C2×C42C2×D411yescharacteristic
771C2×C42C2×D411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776#107—22no—
777#107—41no—
778#107—41no—
779#106—22no—
780#106—22no—
781#106—41no—
782#106—41no—
783C4⋊C8—22no—
784C4⋊C8—22no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789#103—22no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829#97—22no—
830C4×C8—22no—
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#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—42no—
862C24—42no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870C24C22×D411yescharacteristic
871#41—82no—
872#41—82no—
873#41—82no—
874#41—82no—
875C2×Q8—22no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—41no—
889C2×Q8—41no—
890C2×D4—22no—
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—41no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—41no—
919C2×D4—41no—
920C2×D4—41no—
921C2×D4—41no—
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—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—82no—
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—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×D4H(5,𝔽2)12yes—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C2511yescharacteristic
1026Q16—82no—
1027SD16—82no—
1028SD16—82no—
1029SD16—82no—
1030SD16—82no—
1031D8—44no—
1032D8—82no—
1033D8—82no—
1034D8—82no—
1035M16—82no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
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—82no—
1061C4⋊C4—22no—
1062C4⋊C4—22no—
1063C4⋊C4—22no—
1064C4⋊C4—22no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4H(5,𝔽2)12yes—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
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—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
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⋊C4—81no—
1161C22⋊C4—81no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—41no—
1169C42—41no—
1170C42—42no—
1171C42—81no—
1172C42—81no—
1173C42—81no—
1174C42—81no—
1175C42—81no—
1176C42—81no—
1177C42H(5,𝔽2)12yes—
1178C42H(5,𝔽2)12yes—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—22no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
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—162no—
1231C23—162no—
1232C23—162no—
1233C23—162no—
1234C23—162no—
1235C23C23×D411yescharacteristic
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—82no—
1245D4—22no—
1246D4—22no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—82no—
1262D4—82no—
1263D4—82no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—84no—
1268D4—162no—
1269D4—162no—
1270D4—162no—
1271D4—162no—
1272D4—162no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
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—82no—
1357C2×C4—82no—
1358C2×C4—84no—
1359C2×C4—162no—
1360C2×C4—162no—
1361C2×C4—162no—
1362C2×C4#53412yes—
1363C2×C4#53412yes—
1364C2×C4C2×H(5,𝔽2)11yescharacteristic
1365C2×C4C2×H(5,𝔽2)11yescharacteristic
1366C2×C4C2×H(5,𝔽2)11yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4#58511yescharacteristic
1369C2×C4#58511yescharacteristic
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—42no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—42no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—42no—
1402C22—81no—
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—168no—
1428C22C2×#53411yescharacteristic
1429C22#348811yescharacteristic
1430C22#348811yescharacteristic
1431C22#358411yescharacteristic
1432C22#358411yescharacteristic
1433C22#358511yescharacteristic
1434C22#358511yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—42no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4#354211yescharacteristic
1459C4#354311yescharacteristic
1460C4#354611yescharacteristic
1461C4#356211yescharacteristic
1462C2—81no—
1463C2—81no—
1464C2—81no—
1465C2—82no—
1466C2—161no—
1467C2—161no—
1468C2—161no—
1469C2#4295111yescharacteristic
1470C2#6076711yescharacteristic
1471C2#6076711yescharacteristic
1472C2#6202611yescharacteristic
1473C2#6202711yescharacteristic
1474C2#6206011yescharacteristic
1475C2#6208811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39130C2semidirect
2. #38034C2semidirect
3. #32731C2semidirect
4. #32727C2semidirect
5. #31401C2semidirect
6. #31385C2semidirect
7. #30732C2semidirect
8. #30702C2semidirect
9. #30511C2semidirect
10. #30505C2semidirect
11. #30422C2semidirect
12. #30400C2semidirect
13. #30036C2semidirect
14. #30007C2semidirect
15. #29813C2semidirect
16. #29721C2semidirect
17. #29720C2semidirect
18. #28130C2semidirect
19. #28119C2semidirect
20. #26329C2semidirect
21. #26245C2semidirect
22. #25762C2semidirect
23. #25635C2semidirect
24. #24991C2semidirect
25. #24968C2semidirect
26. #24767C2semidirect
27. #24763C2semidirect
28. #24257C2semidirect
29. #24204C2semidirect
30. #23712C2semidirect
31. #21855C2semidirect
32. C2×#559C22semidirect
37. C2×#482C22semidirect
41. C2×#465C22semidirect
51. C2×#433C22semidirect
52. C2×#424C22semidirect
54. #2850C22semidirect
65. #2620C22semidirect
71. #2541C22semidirect
76. #2536C22semidirect
87. #2355C22semidirect
90. #2324C22semidirect
93. C4×#121C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2097C22semidirect
99. #2088C22semidirect
100. #2077C22semidirect
102. #2076C22semidirect
103. #2074C22semidirect
107. #2068C22semidirect
109. #2067C22semidirect
110. #2066C22semidirect
112. #2065C22semidirect
113. #2056C22semidirect
116. #2055C22semidirect
117. #2055C22semidirect
122. #2042C22semidirect
123. #2041C22semidirect
126. #2035C22semidirect
130. #2034C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
141. #2001C22semidirect
146. #2000C22semidirect
151. #1985C22semidirect
152. #1984C22semidirect
154. #1983C22semidirect
156. #1959C22semidirect
159. #1948C22semidirect
160. #1947C22semidirect
161. #1928C22semidirect
162. #1928C22semidirect
167. #1920C22semidirect
168. #1920C22semidirect
169. #1895C22semidirect
170. #1894C22semidirect
172. #1892C22semidirect
177. #1878C22semidirect
178. #1877C22semidirect
181. #1875C22semidirect
182. #1873C22semidirect
184. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1834C22semidirect
191. #1825C22semidirect
193. #1802C22semidirect
196. #1797C22semidirect
197. #1797C22semidirect
200. #1776C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#391302
#380342
#327312
#327272
#314012
#313852
#307322
#307022
#305112
#305052
#304222
#304002
#300362
#300072
#298132
#297212
#297202
#281302
#281192
#263292
#262452
#257622
#256352
#249912
#249682
#247672
#247632
#242572
#242042
#237122
#218552