Finite Group Databasebeta

← #6909670

Subgroups — #6909670

Order 512.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1507 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38082C211yesmaximal, characteristic, complemented
2#37749C211yesmaximal, characteristic, complemented
3#32817C211yesmaximal, characteristic, complemented
4#32763C211yesmaximal, characteristic, complemented
5#31857C211yesmaximal, characteristic, complemented
6#31845C211yesmaximal, characteristic, complemented
7#31663C211yesmaximal, characteristic, complemented
8#31643C211yesmaximal, characteristic, complemented
9#30750C211yesmaximal, characteristic, complemented
10#30734C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#30192C211yesmaximal, characteristic, complemented
14#30050C211yesmaximal, characteristic, complemented
15#30047C211yesmaximal, characteristic, complemented
16#29718C211yesmaximal, characteristic, complemented
17#29668C211yesmaximal, characteristic, complemented
18#29120C211yesmaximal, characteristic, complemented
19#28169C211yesmaximal, characteristic, complemented
20#25733C211yesmaximal, characteristic, complemented
21#24547C211yesmaximal, characteristic, complemented
22#24533C211yesmaximal, characteristic, complemented
23#24368C211yesmaximal, characteristic, complemented
24#24362C211yesmaximal, characteristic, complemented
25#23972C211yesmaximal, characteristic, complemented
26#23961C211yesmaximal, characteristic, complemented
27#23933C211yesmaximal, characteristic, complemented
28#23862C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#23427C211yesmaximal, characteristic, complemented
31#22004C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#536C2211yescharacteristic, complemented
37C2×#533C2211yescharacteristic
38C2×#496C2211yescharacteristic
39C2×#492C2211yescharacteristic
40C2×#464C2211yescharacteristic, complemented
41C2×#464C2211yescharacteristic, complemented
42C2×#460C2211yescharacteristic
43C2×#460C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic, complemented
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#417C2211yescharacteristic, complemented
53C22×#103C2211yescharacteristic, complemented
54#2850C2211yescharacteristic
55#2850C2211yescharacteristic
56#2703—21no—
57#2703—21no—
58#2696—21no—
59#2696—21no—
60#2696—21no—
61#2694—21no—
62#2692—21no—
63#2690—21no—
64#2640C2211yescharacteristic
65#2640C2211yescharacteristic, complemented
66#2628C2211yescharacteristic, complemented
67#2619C2211yescharacteristic
68#2563C2211yescharacteristic
69#2544C2211yescharacteristic
70#2504C2211yescharacteristic
71#2503C2211yescharacteristic
72#2477—21no—
73#2471—21no—
74#2465—21no—
75#2458—21no—
76#2448C2211yescharacteristic, complemented
77#2446C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2431C2211yescharacteristic
80#2429C2211yescharacteristic
81#2426C2211yescharacteristic
82#2412—21no—
83#2412—21no—
84#2409C2211yescharacteristic
85#2407C2211yescharacteristic
86#2404—21no—
87#2404—21no—
88#2341C2211yescharacteristic, complemented
89Q8×C22⋊C4C2211yescharacteristic, complemented
90#2328C2211yescharacteristic
91#2327C2211yescharacteristic, complemented
92#2311C2211yescharacteristic
93C2×#390C2211yescharacteristic
94#2290C2211yescharacteristic
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2074C2211yescharacteristic, complemented
98#2074C2211yescharacteristic, complemented
99#2074C2211yescharacteristic, complemented
100#2073C2211yescharacteristic
101#2073C2211yescharacteristic
102#2073C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic
115#2024C2211yescharacteristic, complemented
116#2024C2211yescharacteristic, complemented
117#2024C2211yescharacteristic, complemented
118#2024C2211yescharacteristic, complemented
119#2023C2211yescharacteristic
120#2023C2211yescharacteristic
121#2023C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2016C2211yescharacteristic, complemented
124#2016C2211yescharacteristic, complemented
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2015C2211yescharacteristic
128#2015C2211yescharacteristic, complemented
129#2015C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2014C2211yescharacteristic
132#2013C2211yescharacteristic
133#2013C2211yescharacteristic
134#2013C2211yescharacteristic
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic
143#2001C2211yescharacteristic
144#2001C2211yescharacteristic
145#2001C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#1999C2211yescharacteristic
151#1960C2211yescharacteristic, complemented
152#1958C2211yescharacteristic, complemented
153#1936C2211yescharacteristic
154#1935C2211yescharacteristic, complemented
155#1934C2211yescharacteristic
156#1933C2211yescharacteristic, complemented
157#1924C2211yescharacteristic
158#1923C2211yescharacteristic
159#1917C2211yescharacteristic, complemented
160#1916C2211yescharacteristic, complemented
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic, complemented
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic, complemented
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1872C2211yescharacteristic
183#1872C2211yescharacteristic
184#1872C2211yescharacteristic
185#1870C2211yescharacteristic
186#1869C2211yescharacteristic
187#1851C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1840C2211yescharacteristic, complemented
190#1832C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic
194#1805C2211yescharacteristic, complemented
195#1805C2211yescharacteristic, complemented
196#1805C2211yescharacteristic, complemented
197#1805C2211yescharacteristic, complemented
198#1797C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1750C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
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×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#547—42no—
233#547—42no—
234#546—42no—
235#546—42no—
236#536—42no—
237#536—42no—
238#533—42no—
239#533—42no—
240C2×C4⋊Q8C2311yescharacteristic
241C2×C4⋊Q8C2311yescharacteristic
242C2×C4⋊Q8C2311yescharacteristic
243C2×C4⋊Q8C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#125—21no—
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×C4×Q8—21no—
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×#117—21no—
281C2×#117C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287C22×C42C2311yescharacteristic
288#496—42no—
289#492—42no—
290#464—42no—
291#464—42no—
292#460—42no—
293#460—42no—
294#450—42no—
295#450—42no—
296#450—42no—
297#449—42no—
298#449—42no—
299#448—42no—
300#448—42no—
301#447—42no—
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#417—42no—
307C2×#103—42no—
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×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
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#400—21no—
350#400—21no—
351#400—21no—
352#399—21no—
353#399—21no—
354#398—21no—
355#398—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#396—21no—
364#396—21no—
365#395—21no—
366#395—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#393—21no—
374#393—21no—
375#393—21no—
376#393—21no—
377#393—21no—
378#393—21no—
379#393—21no—
380#393—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#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#389—21no—
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388D411yescharacteristic
425#388D411yescharacteristic
426#387—21no—
427#387—21no—
428#387—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387D411yescharacteristic
433#387D411yescharacteristic
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#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#385D411yescharacteristic
457#385D411yescharacteristic
458#382C2311yescharacteristic
459#382C2311yescharacteristic
460#382C2311yescharacteristic
461#382C2311yescharacteristic
462#381—21no—
463#381—21no—
464#380—21no—
465#380—21no—
466#380—21no—
467#380—21no—
468#380—21no—
469#380—21no—
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477#376C2311yescharacteristic
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
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—
521C2×#41—44no—
522C2×#41—82no—
523C2×#41—82no—
524C22×Q8—21no—
525C22×Q8—21no—
526C22×Q8—21no—
527C22×Q8—22no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8C2411yescharacteristic
534C22×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—22no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4C2×D411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4C2×D411yescharacteristic
567C23×C4C2×D411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570#137—416no—
571#135—416no—
572C2×Q16—22no—
573C2×Q16—22no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
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×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×D8—22no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×M16—22no—
621C2×M16—41no—
622C2×M16—41no—
623C22×C8—22no—
624C22×C8—41no—
625C22×C8—41no—
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C4⋊Q8—22no—
635C4⋊Q8—22no—
636C4⋊Q8—22no—
637C4⋊Q8—41no—
638C4⋊Q8—41no—
639C4⋊Q8—41no—
640C4⋊Q8—41no—
641C4⋊Q8—41no—
642#127—22no—
643#127—41no—
644#127—41no—
645#127—41no—
646#125—44no—
647#124—22no—
648#124—41no—
649#124—41no—
650#124—41no—
651#124—41no—
652#124—41no—
653#124—41no—
654#124—41no—
655#123—44no—
656#123—44no—
657#123—44no—
658#123—44no—
659#123—44no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—44no—
667C22⋊Q8—44no—
668C22⋊Q8—44no—
669C22⋊Q8—44no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—44no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#120—44no—
682#120—82no—
683#120—82no—
684C4×Q8—22no—
685C4×Q8—22no—
686C4×Q8—41no—
687C4×Q8—41no—
688C4×Q8—41no—
689C4×Q8—41no—
690C4×Q8—41no—
691C4×Q8—41no—
692C4×Q8—44no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699#117—41no—
700#117—41no—
701#117—44no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
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—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—41no—
723C2×C4⋊C4—41no—
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
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—44no—
778C2×C22⋊C4—82no—
779C2×C22⋊C4—82no—
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×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—41no—
793C2×C42—41no—
794C2×C42C2×D411yescharacteristic
795C2×C42C2×D411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C4⋊C8—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804C4⋊C8—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#103—41no—
821#102—22no—
822#102—22no—
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—
834#102—41no—
835#102—41no—
836#102—41no—
837C22⋊C8—22no—
838C22⋊C8—22no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843#97—41no—
844C4×C8—41no—
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#95—21no—
871#95—21no—
872#95—21no—
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—42no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24C22×D411yescharacteristic
895C24C22×D411yescharacteristic
896#41—44no—
897#41—44no—
898#41—44no—
899#41—44no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—816no—
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—42no—
928C2×Q8—42no—
929C2×Q8—42no—
930C2×Q8—44no—
931C2×Q8—44no—
932C2×Q8—42no—
933C2×Q8—81no—
934C2×Q8—81no—
935C2×Q8—81no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—82no—
939C2×Q8—82no—
940C2×Q8H(5,𝔽2)12yes—
941C2×Q8H(5,𝔽2)12yes—
942C2×D4—22no—
943C2×D4—22no—
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—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—21no—
967C2×D4—41no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
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—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—82no—
994C2×D4—82no—
995C2×D4—82no—
996C2×D4—82no—
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×D4H(5,𝔽2)12yes—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—22no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4H(5,𝔽2)12yes—
1068C22×C4H(5,𝔽2)12yes—
1069C22×C4C2511yescharacteristic
1070Q16—44no—
1071Q16—44no—
1072Q16—44no—
1073SD16—44no—
1074SD16—44no—
1075SD16—44no—
1076SD16—44no—
1077SD16—82no—
1078SD16—82no—
1079SD16—82no—
1080SD16—82no—
1081SD16—82no—
1082SD16—82no—
1083D8—44no—
1084D8—82no—
1085D8—82no—
1086M16—44no—
1087C2×C8—21no—
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—44no—
1112C4⋊C4—24no—
1113C4⋊C4—24no—
1114C4⋊C4—22no—
1115C4⋊C4—21no—
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—42no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
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—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—41no—
1210C42—41no—
1211C42—42no—
1212C42—42no—
1213C42—81no—
1214C42—81no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—22no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—84no—
1256C23—84no—
1257C23—84no—
1258C23—84no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23#53512yes—
1263C23#57712yes—
1264C23C23×D411yescharacteristic
1265Q8—22no—
1266Q8—22no—
1267Q8—22no—
1268Q8—22no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—84no—
1282Q8—84no—
1283Q8—84no—
1284D4—22no—
1285D4—22no—
1286D4—44no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—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—22no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—44no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—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—84no—
1393C2×C4—84no—
1394C2×C4—82no—
1395C2×C4—84no—
1396C2×C4—84no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—162no—
1400C2×C4#53512yes—
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4C2×H(5,𝔽2)11yescharacteristic
1406C2×C4#58511yescharacteristic
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C8—41no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—168no—
1458C22C2×#53511yescharacteristic
1459C22#348411yescharacteristic
1460C22#348811yescharacteristic
1461C22C2×#57711yescharacteristic
1462C22#358411yescharacteristic
1463C22#358511yescharacteristic
1464C22#358611yescharacteristic
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—42no—
1470C4—42no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4#353211yescharacteristic
1490C4#353211yescharacteristic
1491C4#353411yescharacteristic
1492C4#353411yescharacteristic
1493C2—42no—
1494C2—42no—
1495C2—82no—
1496C2—161no—
1497C2—161no—
1498C2—161no—
1499C2#4058811yescharacteristic
1500C2#6081211yescharacteristic
1501C2#6083511yescharacteristic
1502C2#6161111yescharacteristic
1503C2#6161611yescharacteristic
1504C2#6206311yescharacteristic
1505C2#6208411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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. #38082C2semidirect
2. #37749C2semidirect
3. #32817C2semidirect
4. #32763C2semidirect
5. #31857C2semidirect
6. #31845C2semidirect
7. #31663C2semidirect
8. #31643C2semidirect
9. #30750C2semidirect
10. #30734C2semidirect
11. #30472C2semidirect
12. #30456C2semidirect
13. #30192C2semidirect
14. #30050C2semidirect
15. #30047C2semidirect
16. #29718C2semidirect
17. #29668C2semidirect
18. #29120C2semidirect
19. #28169C2semidirect
20. #25733C2semidirect
21. #24547C2semidirect
22. #24533C2semidirect
23. #24368C2semidirect
24. #24362C2semidirect
25. #23972C2semidirect
26. #23961C2semidirect
27. #23933C2semidirect
28. #23862C2semidirect
29. #23850C2semidirect
30. #23427C2semidirect
31. #22004C2semidirect
36. C2×#536C22semidirect
40. C2×#464C22semidirect
41. C2×#464C22semidirect
45. C2×#449C22semidirect
47. C2×#448C22semidirect
52. C2×#417C22semidirect
53. C22×#103C22semidirect
65. #2640C22semidirect
66. #2628C22semidirect
76. #2448C22semidirect
77. #2446C22semidirect
88. #2341C22semidirect
89. Q8×C22⋊C4C22semidirect
91. #2327C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2074C22semidirect
98. #2074C22semidirect
99. #2074C22semidirect
102. #2073C22semidirect
103. #2073C22semidirect
104. #2073C22semidirect
105. #2056C22semidirect
109. #2055C22semidirect
115. #2024C22semidirect
116. #2024C22semidirect
117. #2024C22semidirect
118. #2024C22semidirect
121. #2023C22semidirect
122. #2023C22semidirect
123. #2016C22semidirect
124. #2016C22semidirect
128. #2015C22semidirect
129. #2015C22semidirect
130. #2015C22semidirect
135. #2013C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
151. #1960C22semidirect
152. #1958C22semidirect
154. #1935C22semidirect
156. #1933C22semidirect
159. #1917C22semidirect
160. #1916C22semidirect
162. #1895C22semidirect
164. #1893C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
187. #1851C22semidirect
188. #1850C22semidirect
189. #1840C22semidirect
190. #1832C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
194. #1805C22semidirect
195. #1805C22semidirect
196. #1805C22semidirect
197. #1805C22semidirect
201. #1750C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#380822
#377492
#328172
#327632
#318572
#318452
#316632
#316432
#307502
#307342
#304722
#304562
#301922
#300502
#300472
#297182
#296682
#291202
#281692
#257332
#245472
#245332
#243682
#243622
#239722
#239612
#239332
#238622
#238502
#234272
#220042