Finite Group Databasebeta

← #7302997

Subgroups — #7302997

Order 512.

1911 conjugacy classes of subgroups.

The subgroup lattice has 1529 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59057C211yesmaximal, characteristic, complemented
2#39960C211yesmaximal, characteristic, complemented
3#31727C211yesmaximal, characteristic, complemented
4#31726C211yesmaximal, characteristic, complemented
5#30747C211yesmaximal, characteristic, complemented
6#30746C211yesmaximal, characteristic, complemented
7#30704C211yesmaximal, characteristic, complemented
8#30702C211yesmaximal, characteristic, complemented
9#30591C211yesmaximal, characteristic, complemented
10#30590C211yesmaximal, characteristic, complemented
11#30506C211yesmaximal, characteristic, complemented
12#30499C211yesmaximal, characteristic, complemented
13#30452C211yesmaximal, characteristic, complemented
14#30445C211yesmaximal, characteristic, complemented
15#30114C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#28125C211yesmaximal, characteristic, complemented
18#26695C211yesmaximal, characteristic, complemented
19#26693C211yesmaximal, characteristic, complemented
20#26659C211yesmaximal, characteristic, complemented
21#26657C211yesmaximal, characteristic, complemented
22#25762C211yesmaximal, characteristic, complemented
23#25761C211yesmaximal, characteristic, complemented
24#25090C211yesmaximal, characteristic, complemented
25#25088C211yesmaximal, characteristic, complemented
26#24439C211yesmaximal, characteristic, complemented
27#24434C211yesmaximal, characteristic, complemented
28#23970C211yesmaximal, characteristic, complemented
29#23969C211yesmaximal, characteristic, complemented
30#23932C211yesmaximal, characteristic, complemented
31#23326C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#532C2211yescharacteristic, complemented
36C2×#495C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#485C2211yescharacteristic, complemented
39C2×#466C2211yescharacteristic
40C2×#466C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#464C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#463C2211yescharacteristic
47C2×#452C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#451C2211yescharacteristic, complemented
51C2×#448C2211yescharacteristic, complemented
52C2×#448C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C22×#103C2211yescharacteristic, complemented
57C22×#102C2211yescharacteristic
58#2850C2211yescharacteristic
59#2730—21no—
60#2730—21no—
61#2688—21no—
62#2686—21no—
63#2684—21no—
64#2668—21no—
65#2663—21no—
66#2602—21no—
67#2561—21no—
68#2548C2211yescharacteristic, complemented
69#2541C2211yescharacteristic
70#2540C2211yescharacteristic
71#2540C2211yescharacteristic, complemented
72#2490—21no—
73#2454—21no—
74#2448C2211yescharacteristic
75#2447C2211yescharacteristic
76#2436C2211yescharacteristic
77#2435C2211yescharacteristic
78#2428—21no—
79#2427C2211yescharacteristic
80#2427C2211yescharacteristic, complemented
81#2421C2211yescharacteristic
82#2420C2211yescharacteristic
83#2416C2211yescharacteristic
84#2416C2211yescharacteristic, complemented
85#2415C2211yescharacteristic
86#2414C2211yescharacteristic
87#2409C2211yescharacteristic
88#2408C2211yescharacteristic
89#2407—21no—
90#2407—21no—
91#2369C2211yescharacteristic, complemented
92#2366—21no—
93#2361C2211yescharacteristic
94#2361C2211yescharacteristic, complemented
95#2321—21no—
96C4×C22⋊Q8C2211yescharacteristic, complemented
97C4×#121C2211yescharacteristic
98#2297C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2097C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2054C2211yescharacteristic
109#2042C2211yescharacteristic
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic, complemented
126#2014C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic
135#2001C2211yescharacteristic, complemented
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1983C2211yescharacteristic
148#1983C2211yescharacteristic
149#1954C2211yescharacteristic
150#1954C2211yescharacteristic, complemented
151#1934C2211yescharacteristic
152#1934C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1927C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1926C2211yescharacteristic
159#1925C2211yescharacteristic
160#1925C2211yescharacteristic
161#1923C2211yescharacteristic
162#1923C2211yescharacteristic, complemented
163#1920C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1874C2211yescharacteristic
183#1872C2211yescharacteristic
184#1872C2211yescharacteristic
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic
190#1863C2211yescharacteristic, complemented
191#1850C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1824C2211yescharacteristic
195#1824C2211yescharacteristic, complemented
196#1817C2211yescharacteristic, complemented
197#1804C2211yescharacteristic, complemented
198#1804C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1788C2211yescharacteristic
201C4×#103C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#554—42no—
222#554—42no—
223#548—42no—
224#548—42no—
225#546—42no—
226#546—42no—
227#532—42no—
228#532—42no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×#127—21no—
231C2×#127C2311yescharacteristic
232C2×#125—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121D411yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C22⋊C4—21no—
284C22×C42C2311yescharacteristic
285#495—42no—
286#495—42no—
287#485—42no—
288#466—42no—
289#466—42no—
290#465—42no—
291#465—42no—
292#464—42no—
293#463—42no—
294#463—42no—
295#463—42no—
296#452—42no—
297#451—42no—
298#450—42no—
299#449—42no—
300#449—42no—
301#448—42no—
302#448—42no—
303#447—42no—
304#447—42no—
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×#103—42no—
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×#102—42no—
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
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×C4×C8C2311yescharacteristic
358C2×C4×C8C2311yescharacteristic
359#400—21no—
360#399—21no—
361#399—21no—
362#399—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#396—21no—
372#396—21no—
373#395—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#393—21no—
387#393—21no—
388#393—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#391—21no—
396#391—21no—
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#391C2311yescharacteristic
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390D411yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#389—21no—
418#389—21no—
419#389D411yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
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#388D411yescharacteristic
435#388D411yescharacteristic
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#386—21no—
450#386—21no—
451#386—21no—
452#386D411yescharacteristic
453#386D411yescharacteristic
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#382C2311yescharacteristic
460#381—21no—
461#381—21no—
462#380—21no—
463#380—21no—
464#380D411yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379—21no—
470#379—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4—21no—
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C22⋊C4—21no—
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
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—44no—
516C2×#41—82no—
517C2×#41—82no—
518C22×Q8—21no—
519C22×Q8—21no—
520C22×Q8—22no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8C2411yescharacteristic
527C22×Q8C2411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×D4—21no—
530C22×D4—22no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C2×Q16—22no—
568C2×Q16—41no—
569C2×Q16—41no—
570C2×Q16—41no—
571C2×Q16—41no—
572C2×Q16—41no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C22×C8—41no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C4⋊Q8—22no—
618C4⋊Q8—22no—
619#127—41no—
620#127—41no—
621#127—44no—
622#125—44no—
623#124—22no—
624#124—22no—
625#124—41no—
626#124—41no—
627#124—41no—
628#124—41no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—41no—
633#124—44no—
634#124—44no—
635#123—44no—
636C22⋊Q8—22no—
637C22⋊Q8—22no—
638C22⋊Q8—22no—
639C22⋊Q8—22no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—44no—
647C22⋊Q8—44no—
648C22⋊Q8—44no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651#121—24no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—44no—
665#121—44no—
666#121—44no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—82no—
674#121—82no—
675#120—44no—
676#120—44no—
677C4×Q8—22no—
678C4×Q8—41no—
679C4×Q8—41no—
680C4×Q8—41no—
681C4×D4—22no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—44no—
694C4×D4—44no—
695C4×D4—44no—
696C4×D4—82no—
697C4×D4—82no—
698#117—41no—
699#117—41no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—22no—
702C2×C4⋊C4—22no—
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⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
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×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—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—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—41no—
796C2×C42—41no—
797C2×C42C2×D411yescharacteristic
798C2×C42C2×D411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803#107—22no—
804#107—41no—
805#106—22no—
806#106—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—22no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C4×C8—41no—
854C4×C8—41no—
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#95—21no—
876#95—21no—
877#95—21no—
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—42no—
889C24—42no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24C22×D411yescharacteristic
896C24C22×D411yescharacteristic
897C24C22×D411yescharacteristic
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—816no—
903C2×Q8—24no—
904C2×Q8—21no—
905C2×Q8—21no—
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—42no—
922C2×Q8—44no—
923C2×Q8—81no—
924C2×Q8—81no—
925C2×Q8—81no—
926C2×Q8—81no—
927C2×Q8—82no—
928C2×Q8—82no—
929C2×Q8—82no—
930C2×Q8H(5,𝔽2)12yes—
931C2×D4—24no—
932C2×D4—22no—
933C2×D4—22no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
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—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
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—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—44no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—82no—
988C2×D4—82no—
989C2×D4—82no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4#13514yes—
1006C2×D4H(5,𝔽2)12yes—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—24no—
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—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—22no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C2511yescharacteristic
1076Q16—82no—
1077Q16—82no—
1078SD16—82no—
1079SD16—82no—
1080SD16—82no—
1081SD16—82no—
1082SD16—82no—
1083SD16—82no—
1084D8—82no—
1085D8—82no—
1086D8—82no—
1087D8—82no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—82no—
1113C2×C8—82no—
1114C4⋊C4—24no—
1115C4⋊C4—22no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4H(5,𝔽2)12yes—
1151C4⋊C4H(5,𝔽2)12yes—
1152C4⋊C4H(5,𝔽2)12yes—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
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—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
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—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—41no—
1216C42—41no—
1217C42—42no—
1218C42—42no—
1219C42—42no—
1220C42—81no—
1221C42—81no—
1222C42—81no—
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—21no—
1237C23—21no—
1238C23—22no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—84no—
1271C23—84no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23C2×#13512yes—
1278C23C2×#13512yes—
1279C23C23×D411yescharacteristic
1280Q8—22no—
1281Q8—22no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—84no—
1293Q8—84no—
1294D4—22no—
1295D4—22no—
1296D4—44no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—84no—
1312D4—82no—
1313D4—82no—
1314D4—84no—
1315D4—84no—
1316D4—84no—
1317D4—84no—
1318D4—84no—
1319D4—84no—
1320D4—84no—
1321D4—84no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325D4—162no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—22no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—44no—
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—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—82no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—84no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4C2×#13512yes—
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4#58511yescharacteristic
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—42no—
1449C22—41no—
1450C22—41no—
1451C22—42no—
1452C22—42no—
1453C22—41no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—168no—
1480C22#348411yescharacteristic
1481C22#348411yescharacteristic
1482C22#348811yescharacteristic
1483C22C22×#13511yescharacteristic
1484C22#358511yescharacteristic
1485C22#358511yescharacteristic
1486C22#358611yescharacteristic
1487C4—22no—
1488C4—42no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—42no—
1495C4—42no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—42no—
1500C4—41no—
1501C4—41no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4#354211yescharacteristic
1511C4#354211yescharacteristic
1512C4#354311yescharacteristic
1513C4#354311yescharacteristic
1514C2—42no—
1515C2—42no—
1516C2—81no—
1517C2—82no—
1518C2—161no—
1519C2—161no—
1520C2—161no—
1521C2#4783111yescharacteristic
1522C2#6156411yescharacteristic
1523C2#6156711yescharacteristic
1524C2#6164411yescharacteristic
1525C2#6167711yescharacteristic
1526C2#6195511yescharacteristic
1527C2#6207811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59057C2semidirect
2. #39960C2semidirect
3. #31727C2semidirect
4. #31726C2semidirect
5. #30747C2semidirect
6. #30746C2semidirect
7. #30704C2semidirect
8. #30702C2semidirect
9. #30591C2semidirect
10. #30590C2semidirect
11. #30506C2semidirect
12. #30499C2semidirect
13. #30452C2semidirect
14. #30445C2semidirect
15. #30114C2semidirect
16. #29667C2semidirect
17. #28125C2semidirect
18. #26695C2semidirect
19. #26693C2semidirect
20. #26659C2semidirect
21. #26657C2semidirect
22. #25762C2semidirect
23. #25761C2semidirect
24. #25090C2semidirect
25. #25088C2semidirect
26. #24439C2semidirect
27. #24434C2semidirect
28. #23970C2semidirect
29. #23969C2semidirect
30. #23932C2semidirect
31. #23326C2semidirect
35. C2×#532C22semidirect
38. C2×#485C22semidirect
43. C2×#464C22semidirect
50. C2×#451C22semidirect
51. C2×#448C22semidirect
52. C2×#448C22semidirect
56. C22×#103C22semidirect
68. #2548C22semidirect
71. #2540C22semidirect
80. #2427C22semidirect
84. #2416C22semidirect
91. #2369C22semidirect
94. #2361C22semidirect
96. C4×C22⋊Q8C22semidirect
99. #2101C22semidirect
100. #2097C22semidirect
101. #2088C22semidirect
102. #2086C22semidirect
103. #2068C22semidirect
105. #2056C22semidirect
107. #2055C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
125. #2015C22semidirect
126. #2014C22semidirect
127. #2014C22semidirect
135. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
150. #1954C22semidirect
152. #1934C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1927C22semidirect
157. #1927C22semidirect
162. #1923C22semidirect
163. #1920C22semidirect
164. #1918C22semidirect
165. #1916C22semidirect
166. #1916C22semidirect
168. #1892C22semidirect
171. #1880C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
188. #1869C22semidirect
190. #1863C22semidirect
192. #1850C22semidirect
193. #1825C22semidirect
195. #1824C22semidirect
196. #1817C22semidirect
197. #1804C22semidirect
198. #1804C22semidirect
199. #1797C22semidirect
201. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#590572
#399602
#317272
#317262
#307472
#307462
#307042
#307022
#305912
#305902
#305062
#304992
#304522
#304452
#301142
#296672
#281252
#266952
#266932
#266592
#266572
#257622
#257612
#250902
#250882
#244392
#244342
#239702
#239692
#239322
#233262