Finite Group Databasebeta

← #6910200

Subgroups — #6910200

Order 512.

1861 conjugacy classes of subgroups.

The subgroup lattice has 1471 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39045C211yesmaximal, characteristic, complemented
2#37676C211yesmaximal, characteristic, complemented
3#32804C211yesmaximal, characteristic, complemented
4#32722C211yesmaximal, characteristic, complemented
5#32183C211yesmaximal, characteristic, complemented
6#32173C211yesmaximal, characteristic, complemented
7#31006C211yesmaximal, characteristic, complemented
8#30996C211yesmaximal, characteristic, complemented
9#30901C211yesmaximal, characteristic, complemented
10#30881C211yesmaximal, characteristic, complemented
11#30535C211yesmaximal, characteristic, complemented
12#30522C211yesmaximal, characteristic, complemented
13#30195C211yesmaximal, characteristic, complemented
14#30141C211yesmaximal, characteristic, complemented
15#30116C211yesmaximal, characteristic, complemented
16#29805C211yesmaximal, characteristic, complemented
17#29623C211yesmaximal, characteristic, complemented
18#29383C211yesmaximal, characteristic, complemented
19#28328C211yesmaximal, characteristic, complemented
20#25866C211yesmaximal, characteristic, complemented
21#24491C211yesmaximal, characteristic, complemented
22#24483C211yesmaximal, characteristic, complemented
23#24375C211yesmaximal, characteristic, complemented
24#24363C211yesmaximal, characteristic, complemented
25#24217C211yesmaximal, characteristic, complemented
26#24048C211yesmaximal, characteristic, complemented
27#24041C211yesmaximal, characteristic, complemented
28#23868C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic
30#23427C211yesmaximal, characteristic, complemented
31#22006C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic
34C2×D4×Q8C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#536C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C2×#489C2211yescharacteristic
39C2×#487C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic
41C2×#483C2211yescharacteristic, complemented
42C2×#464C2211yescharacteristic
43C2×#464C2211yescharacteristic
44C2×#464C2211yescharacteristic
45C2×#462C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#451C2211yescharacteristic
49C2×#448C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#417C2211yescharacteristic
53C22×#103C2211yescharacteristic, complemented
54#2857C2211yescharacteristic
55#2854C2211yescharacteristic
56#2747—21no—
57#2737—21no—
58#2717—21no—
59#2706—21no—
60#2674—21no—
61#2674—21no—
62#2672—21no—
63#2672—21no—
64#2658C2211yescharacteristic
65#2644C2211yescharacteristic, complemented
66#2628C2211yescharacteristic, complemented
67#2620C2211yescharacteristic
68#2578—21no—
69#2574—21no—
70#2557—21no—
71#2547C2211yescharacteristic
72#2545C2211yescharacteristic
73#2516—21no—
74#2513C2211yescharacteristic, complemented
75#2491C2211yescharacteristic
76#2486C2211yescharacteristic
77#2451C2211yescharacteristic, complemented
78#2437—21no—
79#2437—21no—
80#2436C2211yescharacteristic
81#2435C2211yescharacteristic
82#2434C2211yescharacteristic
83#2432C2211yescharacteristic
84#2421C2211yescharacteristic
85#2418—21no—
86#2418—21no—
87#2407C2211yescharacteristic
88#2345C2211yescharacteristic, complemented
89#2341C2211yescharacteristic, complemented
90#2326C2211yescharacteristic
91#2320C2211yescharacteristic, complemented
92#2311C2211yescharacteristic, complemented
93C4×C22⋊Q8C2211yescharacteristic
94#2290C2211yescharacteristic
95#2100C2211yescharacteristic, complemented
96#2099C2211yescharacteristic, complemented
97#2096C2211yescharacteristic, complemented
98#2094C2211yescharacteristic, complemented
99#2074C2211yescharacteristic, complemented
100#2073C2211yescharacteristic
101#2066C2211yescharacteristic, complemented
102#2066C2211yescharacteristic, complemented
103#2066C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2054C2211yescharacteristic
109#2043C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2043C2211yescharacteristic, complemented
112#2043C2211yescharacteristic, complemented
113#2043C2211yescharacteristic, complemented
114#2042C2211yescharacteristic
115#2042C2211yescharacteristic
116#2042C2211yescharacteristic
117#2042C2211yescharacteristic
118#2042C2211yescharacteristic
119#2042C2211yescharacteristic
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic
123#2035C2211yescharacteristic
124#2035C2211yescharacteristic
125#2035C2211yescharacteristic
126#2035C2211yescharacteristic
127#2024C2211yescharacteristic, complemented
128#2023C2211yescharacteristic
129#2016C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2016C2211yescharacteristic, complemented
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic
136#2013C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2012C2211yescharacteristic
147#2001C2211yescharacteristic
148#2001C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#1983C2211yescharacteristic
152#1983C2211yescharacteristic
153#1983C2211yescharacteristic
154#1981C2211yescharacteristic, complemented
155#1972C2211yescharacteristic
156#1971C2211yescharacteristic, complemented
157#1968C2211yescharacteristic
158#1968C2211yescharacteristic, complemented
159#1960C2211yescharacteristic, complemented
160#1958C2211yescharacteristic
161#1927C2211yescharacteristic, complemented
162#1927C2211yescharacteristic, complemented
163#1927C2211yescharacteristic, complemented
164#1926C2211yescharacteristic
165#1924C2211yescharacteristic
166#1923C2211yescharacteristic
167#1917C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1895C2211yescharacteristic
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic
187#1851C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1840C2211yescharacteristic, complemented
190#1832C2211yescharacteristic, complemented
191#1817C2211yescharacteristic
192#1797C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1787C2211yescharacteristic
196#1787C2211yescharacteristic
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1750C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#137—42no—
209C2×#137—42no—
210C2×#137—42no—
211C2×#135—42no—
212C2×#135—42no—
213C2×#135—42no—
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228D4×Q8—42no—
229D4×Q8—42no—
230#546—42no—
231#546—42no—
232#536—42no—
233#536—42no—
234C2×C4⋊Q8—21no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×C4⋊Q8C2311yescharacteristic
240C2×#124—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124—42no—
244C2×#124—42no—
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×#121—21no—
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#120—21no—
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280C22×C42C2311yescharacteristic
281#489—42no—
282#487—42no—
283#483—42no—
284#481—42no—
285#464—42no—
286#464—42no—
287#464—42no—
288#462—42no—
289#452—42no—
290#451—42no—
291#450—42no—
292#449—42no—
293#448—42no—
294#447—42no—
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#417—42no—
304C2×#103—42no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
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×#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×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#400—21no—
354#400—21no—
355#399—21no—
356#399—21no—
357#399—21no—
358#399—21no—
359#399—21no—
360#398—21no—
361#398—21no—
362#397—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#396—21no—
374#396—21no—
375#396—21no—
376#395—21no—
377#395—21no—
378#395—21no—
379#395—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#393—21no—
389#393—21no—
390#393—21no—
391#393—21no—
392#392—21no—
393#391—21no—
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#390—21no—
402#390—21no—
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#389—21no—
411#389—21no—
412#389C2311yescharacteristic
413#389C2311yescharacteristic
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#388D411yescharacteristic
429#388D411yescharacteristic
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387D411yescharacteristic
438#387D411yescharacteristic
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386D411yescharacteristic
446#386D411yescharacteristic
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385D411yescharacteristic
456#385D411yescharacteristic
457#384C2311yescharacteristic
458#383—21no—
459#382—21no—
460#382C2311yescharacteristic
461#381—21no—
462#380—21no—
463#380—21no—
464#380—21no—
465#380—21no—
466#380—21no—
467#380—21no—
468#380—21no—
469#380—21no—
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#379—21no—
475#379—21no—
476C4×C4⋊C4—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485#376C2311yescharacteristic
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
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—22no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8—21no—
522C22×Q8—21no—
523C22×Q8—21no—
524C22×Q8—22no—
525C22×Q8—22no—
526C22×Q8—22no—
527C22×Q8—22no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8—41no—
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×Q8C2411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×Q8C2411yescharacteristic
541C22×D4—22no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
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
566#137—416no—
567#135—416no—
568C2×Q16—22no—
569C2×Q16—22no—
570C2×Q16—22no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—41no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×D8—22no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×M16—22no—
605C2×M16—41no—
606C2×M16—41no—
607C22×C8—22no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C4⋊Q8—22no—
619C4⋊Q8—41no—
620C4⋊Q8—41no—
621C4⋊Q8—41no—
622C4⋊Q8—41no—
623C4⋊Q8—41no—
624C4⋊Q8—41no—
625C4⋊Q8—41no—
626C4⋊Q8—41no—
627C4⋊Q8—41no—
628C4⋊Q8—44no—
629#124—22no—
630#124—22no—
631#124—22no—
632#124—22no—
633#124—22no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—41no—
641#124—41no—
642#124—41no—
643#124—44no—
644#124—44no—
645#124—82no—
646#123—44no—
647#123—44no—
648#123—44no—
649#123—82no—
650#123—82no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—22no—
654C22⋊Q8—44no—
655C22⋊Q8—44no—
656C22⋊Q8—44no—
657C22⋊Q8—44no—
658C22⋊Q8—41no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663#121—22no—
664#121—22no—
665#121—44no—
666#121—41no—
667#121—41no—
668#120—44no—
669C4×Q8—22no—
670C4×Q8—41no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—44no—
680#117—41no—
681#117—41no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
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—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—44no—
762C2×C22⋊C4—44no—
763C2×C22⋊C4—44no—
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42C2×D411yescharacteristic
780C2×C42C2×D411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786#106—41no—
787#106—41no—
788#106—41no—
789#106—41no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794#103—22no—
795#103—22no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
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#102—22no—
821#102—22no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840#97—41no—
841C4×C8—41no—
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—
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#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880C24—21no—
881C24—21no—
882C24—21no—
883C24—42no—
884C24—42no—
885C24—42no—
886C24—42no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892#41—44no—
893#41—44no—
894#41—44no—
895#41—44no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
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—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—42no—
929C2×Q8—42no—
930C2×Q8—42no—
931C2×Q8—44no—
932C2×Q8—44no—
933C2×Q8—42no—
934C2×Q8—81no—
935C2×Q8—81no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—81no—
939C2×Q8—82no—
940C2×Q8—82no—
941C2×Q8—82no—
942C2×Q8—82no—
943C2×Q8—82no—
944C2×Q8—82no—
945C2×Q8H(5,𝔽2)12yes—
946C2×Q8H(5,𝔽2)12yes—
947C2×D4—22no—
948C2×D4—22no—
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—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—41no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—81no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4H(5,𝔽2)12yes—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—22no—
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—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4H(5,𝔽2)12yes—
1047C22×C4H(5,𝔽2)12yes—
1048C22×C4C2511yescharacteristic
1049Q16—44no—
1050Q16—44no—
1051Q16—44no—
1052Q16—82no—
1053SD16—44no—
1054SD16—44no—
1055SD16—44no—
1056SD16—44no—
1057SD16—82no—
1058SD16—82no—
1059D8—44no—
1060D8—82no—
1061M16—44no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×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—44no—
1087C4⋊C4—22no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C22⋊C4—24no—
1134C22⋊C4—24no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—41no—
1191C42—41no—
1192C42—42no—
1193C42—42no—
1194C42—81no—
1195C42—81no—
1196C42—81no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—22no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—84no—
1231C23—84no—
1232C23—84no—
1233C23—84no—
1234C23—162no—
1235C23—162no—
1236C23—162no—
1237C23#53512yes—
1238C23#57712yes—
1239C23C23×D411yescharacteristic
1240Q8—22no—
1241Q8—22no—
1242Q8—22no—
1243Q8—22no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—84no—
1261Q8—84no—
1262Q8—162no—
1263D4—22no—
1264D4—22no—
1265D4—44no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—162no—
1280D4—162no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
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—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—84no—
1364C2×C4—84no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4#53512yes—
1372C2×C4C2×H(5,𝔽2)11yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4#58511yescharacteristic
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—168no—
1422C22C2×#53511yescharacteristic
1423C22#348411yescharacteristic
1424C22#348811yescharacteristic
1425C22C2×#57711yescharacteristic
1426C22#358411yescharacteristic
1427C22#358611yescharacteristic
1428C22#358611yescharacteristic
1429C4—22no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—42no—
1435C4—42no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4#353211yescharacteristic
1455C4#353211yescharacteristic
1456C4#353411yescharacteristic
1457C4#353411yescharacteristic
1458C2—42no—
1459C2—42no—
1460C2—82no—
1461C2—161no—
1462C2—161no—
1463C2#4059011yescharacteristic
1464C2#6081311yescharacteristic
1465C2#6083511yescharacteristic
1466C2#6164111yescharacteristic
1467C2#6165511yescharacteristic
1468C2#6202111yescharacteristic
1469C2#6205011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23850C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39045C2semidirect
2. #37676C2semidirect
3. #32804C2semidirect
4. #32722C2semidirect
5. #32183C2semidirect
6. #32173C2semidirect
7. #31006C2semidirect
8. #30996C2semidirect
9. #30901C2semidirect
10. #30881C2semidirect
11. #30535C2semidirect
12. #30522C2semidirect
13. #30195C2semidirect
14. #30141C2semidirect
15. #30116C2semidirect
16. #29805C2semidirect
17. #29623C2semidirect
18. #29383C2semidirect
19. #28328C2semidirect
20. #25866C2semidirect
21. #24491C2semidirect
22. #24483C2semidirect
23. #24375C2semidirect
24. #24363C2semidirect
25. #24217C2semidirect
26. #24048C2semidirect
27. #24041C2semidirect
28. #23868C2semidirect
30. #23427C2semidirect
31. #22006C2semidirect
32. C22×#137C22semidirect
39. C2×#487C22semidirect
41. C2×#483C22semidirect
45. C2×#462C22semidirect
46. C2×#452C22semidirect
53. C22×#103C22semidirect
65. #2644C22semidirect
66. #2628C22semidirect
74. #2513C22semidirect
77. #2451C22semidirect
88. #2345C22semidirect
89. #2341C22semidirect
91. #2320C22semidirect
92. #2311C22semidirect
95. #2100C22semidirect
96. #2099C22semidirect
97. #2096C22semidirect
98. #2094C22semidirect
99. #2074C22semidirect
101. #2066C22semidirect
102. #2066C22semidirect
103. #2066C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2055C22semidirect
109. #2043C22semidirect
110. #2043C22semidirect
111. #2043C22semidirect
112. #2043C22semidirect
113. #2043C22semidirect
127. #2024C22semidirect
129. #2016C22semidirect
130. #2016C22semidirect
131. #2016C22semidirect
136. #2013C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
139. #2013C22semidirect
154. #1981C22semidirect
156. #1971C22semidirect
158. #1968C22semidirect
159. #1960C22semidirect
161. #1927C22semidirect
162. #1927C22semidirect
163. #1927C22semidirect
167. #1917C22semidirect
168. #1916C22semidirect
170. #1894C22semidirect
172. #1892C22semidirect
174. #1880C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
187. #1851C22semidirect
188. #1850C22semidirect
189. #1840C22semidirect
190. #1832C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
201. #1750C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#390452
#376762
#328042
#327222
#321832
#321732
#310062
#309962
#309012
#308812
#305352
#305222
#301952
#301412
#301162
#298052
#296232
#293832
#283282
#258662
#244912
#244832
#243752
#243632
#242172
#240482
#240412
#238682
#238502
#234272
#220062