Finite Group Databasebeta

← #6692950

Subgroups — #6692950

Order 512.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42976C211yesmaximal, characteristic, complemented
2#35836C211yesmaximal, characteristic, complemented
3#32917C211yesmaximal, characteristic, complemented
4#32622C211yesmaximal, characteristic, complemented
5#32606C211yesmaximal, characteristic, complemented
6#31830C211yesmaximal, characteristic, complemented
7#31814C211yesmaximal, characteristic, complemented
8#31656C211yesmaximal, characteristic, complemented
9#31634C211yesmaximal, characteristic, complemented
10#30891C211yesmaximal, characteristic, complemented
11#30887C211yesmaximal, characteristic, complemented
12#30195C211yesmaximal, characteristic, complemented
13#29959C211yesmaximal, characteristic, complemented
14#27571C211yesmaximal, characteristic, complemented
15#27550C211yesmaximal, characteristic, complemented
16#27279C211yesmaximal, characteristic, complemented
17#27271C211yesmaximal, characteristic, complemented
18#26421C211yesmaximal, characteristic, complemented
19#26419C211yesmaximal, characteristic, complemented
20#26178C211yesmaximal, characteristic, complemented
21#26168C211yesmaximal, characteristic, complemented
22#25946C211yesmaximal, characteristic, complemented
23#25938C211yesmaximal, characteristic, complemented
24#24738C211yesmaximal, characteristic, complemented
25#24731C211yesmaximal, characteristic, complemented
26#24355C211yesmaximal, characteristic, complemented
27#24354C211yesmaximal, characteristic
28#22884C211yesmaximal, characteristic, complemented
29#22868C211yesmaximal, characteristic, complemented
30#22294C211yesmaximal, characteristic, complemented
31#20934C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×#518C2211yescharacteristic
35C2×#490C2211yescharacteristic, complemented
36C2×#488C2211yescharacteristic, complemented
37C2×#463C2211yescharacteristic
38C2×#463C2211yescharacteristic
39C2×#463C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#450C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#442C2211yescharacteristic, complemented
46C2×C4×SD16C2211yescharacteristic, complemented
47C2×#418C2211yescharacteristic
48C2×#418C2211yescharacteristic
49#2829—21no—
50#2697—21no—
51#2685—21no—
52#2685—21no—
53#2684—21no—
54#2662—21no—
55#2648—21no—
56#2628C2211yescharacteristic
57#2626—21no—
58#2620C2211yescharacteristic
59#2592C2211yescharacteristic, complemented
60#2580C2211yescharacteristic, complemented
61#2564—21no—
62#2554—21no—
63#2548C2211yescharacteristic, complemented
64#2548C2211yescharacteristic, complemented
65#2544C2211yescharacteristic, complemented
66#2542C2211yescharacteristic, complemented
67#2512C2211yescharacteristic, complemented
68#2512C2211yescharacteristic, complemented
69#2487—21no—
70#2454C2211yescharacteristic, complemented
71#2454C2211yescharacteristic, complemented
72#2449—21no—
73#2449—21no—
74#2448C2211yescharacteristic, complemented
75#2445C2211yescharacteristic, complemented
76#2441C2211yescharacteristic
77#2441C2211yescharacteristic
78#2437—21no—
79#2437—21no—
80#2435C2211yescharacteristic
81#2433C2211yescharacteristic
82#2396C2211yescharacteristic
83C2×#399—21no—
84#2363C2211yescharacteristic
85#2362C2211yescharacteristic
86#2349C2211yescharacteristic, complemented
87D4×C4⋊C4C2211yescharacteristic, complemented
88D4×C4⋊C4C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2309C2211yescharacteristic
92#2100C2211yescharacteristic, complemented
93#2100C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2099C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2092C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2088C2211yescharacteristic, complemented
100#2074C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2071C2211yescharacteristic, complemented
103#2071C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic
113#2054C2211yescharacteristic
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2026C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2024C2211yescharacteristic, complemented
125#2023C2211yescharacteristic, complemented
126#2023C2211yescharacteristic, complemented
127#2023C2211yescharacteristic, complemented
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic
132#1989C2211yescharacteristic, complemented
133#1989C2211yescharacteristic, complemented
134#1985C2211yescharacteristic, complemented
135#1984C2211yescharacteristic, complemented
136#1973C2211yescharacteristic, complemented
137#1970C2211yescharacteristic, complemented
138#1959C2211yescharacteristic, complemented
139#1957C2211yescharacteristic, complemented
140#1940C2211yescharacteristic, complemented
141#1939C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1921C2211yescharacteristic, complemented
151#1918C2211yescharacteristic, complemented
152#1917C2211yescharacteristic, complemented
153#1917C2211yescharacteristic, complemented
154#1916C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1894C2211yescharacteristic
158#1893C2211yescharacteristic
159#1892C2211yescharacteristic
160#1880C2211yescharacteristic, complemented
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1875C2211yescharacteristic
181#1873C2211yescharacteristic
182#1863C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1854C2211yescharacteristic
187#1854C2211yescharacteristic
188#1850C2211yescharacteristic
189#1850C2211yescharacteristic
190#1803C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1798C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1762C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200#1753C2211yescharacteristic
201#1735C2211yescharacteristic
202#1729C2211yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C22×SD16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×D8—24no—
208C22×D8—42no—
209C22×D8—42no—
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#554—42no—
219#554—42no—
220C2×C4⋊Q8C2311yescharacteristic
221C2×#127C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#126—21no—
224C2×#126—21no—
225C2×#125C2311yescharacteristic
226C2×#125C2311yescharacteristic
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#123—21no—
232C2×C22⋊Q8—21no—
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#120—21no—
240C2×#120—21no—
241#518—42no—
242#518—42no—
243C2×C4×Q8C2311yescharacteristic
244C2×C4×Q8C2311yescharacteristic
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C2×#117C2311yescharacteristic
258C2×#117C2311yescharacteristic
259C22×C4⋊C4—21no—
260C22×C4⋊C4—21no—
261C22×C4⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266#490—42no—
267#488—42no—
268#463—42no—
269#463—42no—
270#463—42no—
271#463—42no—
272#459—42no—
273#459—42no—
274#450—24no—
275#447—24no—
276#442—42no—
277C4×SD16—42no—
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#106C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286C2×C4⋊C8C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288#418—42no—
289#418—42no—
290C2×#103C2311yescharacteristic
291C2×#103C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×#97C2311yescharacteristic
325C2×#97C2311yescharacteristic
326C2×C4×C8C2311yescharacteristic
327C2×C4×C8C2311yescharacteristic
328#400—21no—
329#400D411yescharacteristic
330#399—21no—
331#399—21no—
332#399—21no—
333#399—21no—
334#399—21no—
335#399—21no—
336#399—21no—
337#399—21no—
338#399—21no—
339#399D411yescharacteristic
340#398D411yescharacteristic
341#398D411yescharacteristic
342#397—21no—
343#397—21no—
344#397—21no—
345#397—21no—
346#396—21no—
347#396—21no—
348#396—21no—
349#396—21no—
350#396—21no—
351#396—21no—
352#396—21no—
353#396—21no—
354#396D411yescharacteristic
355#396D411yescharacteristic
356#395—21no—
357#395D411yescharacteristic
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#393—21no—
371#393—21no—
372#393—21no—
373#393D411yescharacteristic
374#392—21no—
375#392—21no—
376#391C2311yescharacteristic
377#391C2311yescharacteristic
378#390—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#389—21no—
399#389—21no—
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#387—21no—
418#387—21no—
419#387—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#384C2311yescharacteristic
439#384C2311yescharacteristic
440#384C2311yescharacteristic
441#382C2311yescharacteristic
442#380—21no—
443#380—21no—
444#380—21no—
445#380—21no—
446#380—21no—
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#379—21no—
450#379—21no—
451#379—21no—
452#379—21no—
453#379—21no—
454#379—21no—
455C4×C4⋊C4—21no—
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C22⋊C4—21no—
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C2×#95—21no—
465#340C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C22×Q8—21no—
502C22×Q8C2×D411yescharacteristic
503C22×Q8C2411yescharacteristic
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4#4114yes—
523C22×D4C2411yescharacteristic
524C22×D4C2411yescharacteristic
525C22×D4C2411yescharacteristic
526C22×D4C2411yescharacteristic
527C22×D4C2411yescharacteristic
528C23×C4—21no—
529C23×C4—21no—
530C23×C4—21no—
531C23×C4—21no—
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4C2411yescharacteristic
538C2×SD16—22no—
539C2×SD16—22no—
540C2×SD16—22no—
541C2×SD16—22no—
542C2×SD16—41no—
543C2×SD16—41no—
544C2×D8—22no—
545C2×D8—22no—
546C2×D8—22no—
547C2×D8—22no—
548C2×D8—22no—
549C2×D8—22no—
550C2×D8—22no—
551C2×D8—22no—
552C2×D8—22no—
553C2×D8—22no—
554C2×D8—22no—
555C2×D8—22no—
556C2×D8—41no—
557C2×D8—41no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—416no—
563C2×M16—22no—
564C2×M16—41no—
565C2×M16—41no—
566C22×C8—22no—
567C22×C8—41no—
568C22×C8—41no—
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C4⋊Q8—41no—
578C4⋊Q8—41no—
579#127—41no—
580#127—41no—
581#127—41no—
582#127—41no—
583#126—82no—
584#126—82no—
585#125—22no—
586#125—22no—
587#125—41no—
588#125—41no—
589#124—41no—
590#124—41no—
591#124—41no—
592#124—41no—
593#124—41no—
594#124—41no—
595#124—82no—
596#123—82no—
597C22⋊Q8—22no—
598C22⋊Q8—22no—
599C22⋊Q8—44no—
600C22⋊Q8—44no—
601C22⋊Q8—44no—
602C22⋊Q8—82no—
603C22⋊Q8—82no—
604#121—22no—
605#121—22no—
606#120—82no—
607#120—82no—
608C4×Q8—41no—
609C4×Q8—41no—
610C4×Q8—41no—
611C4×Q8—41no—
612C4×D4—22no—
613C4×D4—22no—
614C4×D4—22no—
615C4×D4—22no—
616C4×D4—22no—
617C4×D4—22no—
618C4×D4—22no—
619C4×D4—22no—
620C4×D4—41no—
621C4×D4—41no—
622C4×D4—41no—
623C4×D4—41no—
624C4×D4—41no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—44no—
631C4×D4—44no—
632#117—22no—
633#117—41no—
634#117—41no—
635#117—41no—
636#117—41no—
637#117—41no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—44no—
660C2×C4⋊C4—82no—
661C2×C4⋊C4—82no—
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2×D411yescharacteristic
665C2×C4⋊C4C2×D411yescharacteristic
666C2×C4⋊C4C2×D411yescharacteristic
667C2×C4⋊C4C2×D411yescharacteristic
668C2×C4⋊C4C2×D411yescharacteristic
669C2×C4⋊C4C2×D411yescharacteristic
670C2×C4⋊C4C2×D411yescharacteristic
671C2×C4⋊C4C2×D411yescharacteristic
672C2×C4⋊C4C2×D411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—44no—
733C2×C22⋊C4—44no—
734C2×C22⋊C4—82no—
735C2×C22⋊C4—82no—
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C42—21no—
743C2×C42—21no—
744C2×C42—21no—
745C2×C42—21no—
746C2×C42—21no—
747C2×C42C2411yescharacteristic
748C2×C42C2411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751C2×C42C2411yescharacteristic
752C2×C42C2411yescharacteristic
753#107—41no—
754#107—41no—
755#106—41no—
756#106—41no—
757C4⋊C8—41no—
758C4⋊C8—41no—
759C4⋊C8—41no—
760C4⋊C8—41no—
761C4⋊C8—41no—
762C4⋊C8—41no—
763#103—22no—
764#103—41no—
765#103—41no—
766#103—41no—
767#103—41no—
768#103—41no—
769#102—22no—
770#102—22no—
771#102—22no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—22no—
777#102—22no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795C22⋊C8—22no—
796C22⋊C8—22no—
797#97—41no—
798#97—41no—
799C4×C8—41no—
800C4×C8—41no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95C2×D411yescharacteristic
820#95C2×D411yescharacteristic
821#95C2×D411yescharacteristic
822#95C2×D411yescharacteristic
823#95C2×D411yescharacteristic
824#95C2×D411yescharacteristic
825#95C2×D411yescharacteristic
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829C24—21no—
830C24—21no—
831C24—24no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—42no—
836C24—42no—
837C24—42no—
838C24—81no—
839C24—81no—
840C24—81no—
841C24—81no—
842C24—81no—
843C24—81no—
844C24—81no—
845C24—81no—
846C24—81no—
847C24—81no—
848C24C22×D411yescharacteristic
849C2×Q8—21no—
850C2×Q8—21no—
851C2×Q8—21no—
852C2×Q8—21no—
853C2×Q8—21no—
854C2×Q8—21no—
855C2×Q8—41no—
856C2×Q8—41no—
857C2×Q8—41no—
858C2×Q8—42no—
859C2×Q8—81no—
860C2×Q8—81no—
861C2×D4—28no—
862C2×D4—24no—
863C2×D4—21no—
864C2×D4—21no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—21no—
873C2×D4—21no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—44no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—42no—
900C2×D4—82no—
901C2×D4—82no—
902C2×D4—81no—
903C2×D4—81no—
904C2×D4—81no—
905C2×D4—81no—
906C2×D4—81no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—81no—
912C2×D4—81no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4C2×#4112yes—
917C2×D4C2×#4112yes—
918C2×D4H(5,𝔽2)12yes—
919C2×D4H(5,𝔽2)12yes—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—24no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—42no—
937C22×C4—42no—
938C22×C4—42no—
939C22×C4—42no—
940C22×C4—42no—
941C22×C4—42no—
942C22×C4—42no—
943C22×C4—42no—
944C22×C4—42no—
945C22×C4—81no—
946C22×C4—81no—
947C22×C4—81no—
948C22×C4—81no—
949C22×C4—81no—
950C22×C4—81no—
951C22×C4—81no—
952C22×C4—81no—
953C22×C4—81no—
954C22×C4—81no—
955C22×C4—81no—
956C22×C4—81no—
957C22×C4—81no—
958C22×C4—81no—
959C22×C4—81no—
960C22×C4—81no—
961C22×C4—81no—
962C22×C4C22×D411yescharacteristic
963C22×C4C22×D411yescharacteristic
964C22×C4C22×D411yescharacteristic
965C22×C4C22×D411yescharacteristic
966C22×C4C22×D411yescharacteristic
967C22×C4C22×D411yescharacteristic
968C22×C4C22×D411yescharacteristic
969C22×C4C22×D411yescharacteristic
970C22×C4C22×D411yescharacteristic
971C22×C4C22×D411yescharacteristic
972C22×C4C22×D411yescharacteristic
973C22×C4C22×D411yescharacteristic
974C22×C4C22×D411yescharacteristic
975C22×C4C2×#4112yes—
976C22×C42−1+412yes—
977C22×C4C2511yescharacteristic
978SD16—44no—
979SD16—82no—
980D8—44no—
981D8—44no—
982D8—44no—
983D8—44no—
984D8—44no—
985D8—82no—
986M16—82no—
987C2×C8—21no—
988C2×C8—21no—
989C2×C8—21no—
990C2×C8—21no—
991C2×C8—21no—
992C2×C8—21no—
993C2×C8—21no—
994C2×C8—21no—
995C2×C8—21no—
996C2×C8—21no—
997C2×C8—21no—
998C2×C8—21no—
999C2×C8—21no—
1000C2×C8—21no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—44no—
1012C4⋊C4—22no—
1013C4⋊C4—22no—
1014C4⋊C4—21no—
1015C4⋊C4—21no—
1016C4⋊C4—21no—
1017C4⋊C4—21no—
1018C4⋊C4—21no—
1019C4⋊C4—21no—
1020C4⋊C4—21no—
1021C4⋊C4—21no—
1022C4⋊C4—21no—
1023C4⋊C4—21no—
1024C4⋊C4—21no—
1025C4⋊C4—21no—
1026C4⋊C4—21no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—41no—
1034C4⋊C4—41no—
1035C4⋊C4—41no—
1036C4⋊C4—41no—
1037C4⋊C4—41no—
1038C4⋊C4—41no—
1039C4⋊C4—41no—
1040C4⋊C4—41no—
1041C4⋊C4—41no—
1042C4⋊C4—42no—
1043C4⋊C4—42no—
1044C4⋊C4—42no—
1045C4⋊C4—42no—
1046C4⋊C4—42no—
1047C4⋊C4—42no—
1048C4⋊C4—42no—
1049C4⋊C4—42no—
1050C4⋊C4—42no—
1051C4⋊C4—81no—
1052C4⋊C4—81no—
1053C4⋊C4—81no—
1054C4⋊C4—81no—
1055C4⋊C4—81no—
1056C4⋊C4—81no—
1057C4⋊C4—81no—
1058C4⋊C4—81no—
1059C4⋊C4—81no—
1060C4⋊C4—81no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4H(5,𝔽2)12yes—
1064C22⋊C4—24no—
1065C22⋊C4—22no—
1066C22⋊C4—41no—
1067C22⋊C4—41no—
1068C22⋊C4—41no—
1069C22⋊C4—41no—
1070C22⋊C4—41no—
1071C22⋊C4—42no—
1072C22⋊C4—42no—
1073C22⋊C4—42no—
1074C22⋊C4—42no—
1075C22⋊C4—42no—
1076C22⋊C4—42no—
1077C22⋊C4—42no—
1078C22⋊C4—42no—
1079C22⋊C4—42no—
1080C22⋊C4—42no—
1081C22⋊C4—42no—
1082C22⋊C4—42no—
1083C22⋊C4—42no—
1084C22⋊C4—42no—
1085C22⋊C4—81no—
1086C22⋊C4—81no—
1087C22⋊C4—81no—
1088C22⋊C4—81no—
1089C22⋊C4—81no—
1090C22⋊C4—81no—
1091C22⋊C4—81no—
1092C22⋊C4—81no—
1093C22⋊C4—81no—
1094C22⋊C4—81no—
1095C22⋊C4—81no—
1096C22⋊C4—81no—
1097C22⋊C4—81no—
1098C22⋊C4—81no—
1099C22⋊C4—81no—
1100C22⋊C4—81no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C42—21no—
1120C42—21no—
1121C42—21no—
1122C42—21no—
1123C42—21no—
1124C42—21no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—42no—
1132C42—42no—
1133C42—81no—
1134C42—81no—
1135C42—81no—
1136C23—21no—
1137C23—21no—
1138C23—21no—
1139C23—22no—
1140C23—22no—
1141C23—21no—
1142C23—22no—
1143C23—21no—
1144C23—21no—
1145C23—22no—
1146C23—48no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—84no—
1179C23—84no—
1180C23—84no—
1181C23—162no—
1182C23—162no—
1183C23—162no—
1184C23—162no—
1185C23—162no—
1186C23—162no—
1187C23—162no—
1188C23—162no—
1189C23—162no—
1190C23—162no—
1191C23#54812yes—
1192C23C23×D411yescharacteristic
1193Q8—41no—
1194Q8—41no—
1195Q8—41no—
1196Q8—41no—
1197Q8—82no—
1198Q8—162no—
1199D4—22no—
1200D4—22no—
1201D4—22no—
1202D4—22no—
1203D4—22no—
1204D4—48no—
1205D4—41no—
1206D4—41no—
1207D4—41no—
1208D4—41no—
1209D4—41no—
1210D4—41no—
1211D4—41no—
1212D4—41no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—84no—
1220D4—162no—
1221D4—162no—
1222D4—162no—
1223D4—162no—
1224D4—162no—
1225D4#53814yes—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—22no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—84no—
1301C2×C4—84no—
1302C2×C4—84no—
1303C2×C4—162no—
1304C2×C4—162no—
1305C2×C4—162no—
1306C2×C4—162no—
1307C2×C4—162no—
1308C2×C4—162no—
1309C2×C4#54812yes—
1310C2×C4#57612yes—
1311C2×C4C22×#4111yescharacteristic
1312C2×C4C2×H(5,𝔽2)11yescharacteristic
1313C2×C4C2×H(5,𝔽2)11yescharacteristic
1314C2×C4C2×H(5,𝔽2)11yescharacteristic
1315C2×C4C2×2−1+411yescharacteristic
1316C2×C4#58511yescharacteristic
1317C8—41no—
1318C8—41no—
1319C8—41no—
1320C8—41no—
1321C8—41no—
1322C8—41no—
1323C8—41no—
1324C8—41no—
1325C22—22no—
1326C22—24no—
1327C22—22no—
1328C22—22no—
1329C22—42no—
1330C22—41no—
1331C22—42no—
1332C22—41no—
1333C22—42no—
1334C22—42no—
1335C22—42no—
1336C22—41no—
1337C22—42no—
1338C22—41no—
1339C22—42no—
1340C22—42no—
1341C22—42no—
1342C22—81no—
1343C22—81no—
1344C22—81no—
1345C22—81no—
1346C22—81no—
1347C22—81no—
1348C22—81no—
1349C22—81no—
1350C22—81no—
1351C22—81no—
1352C22—81no—
1353C22—81no—
1354C22—81no—
1355C22—81no—
1356C22—81no—
1357C22—81no—
1358C22—81no—
1359C22—81no—
1360C22—81no—
1361C22—81no—
1362C22—81no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—168no—
1368C22—168no—
1369C22C2×#54811yescharacteristic
1370C22#348411yescharacteristic
1371C22#348811yescharacteristic
1372C22C2×#57611yescharacteristic
1373C22#358411yescharacteristic
1374C22#358511yescharacteristic
1375C22#358511yescharacteristic
1376C4—22no—
1377C4—22no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—42no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—81no—
1391C4—81no—
1392C4—81no—
1393C4—81no—
1394C4—81no—
1395C4—81no—
1396C4—81no—
1397C4—81no—
1398C4—81no—
1399C4—81no—
1400C4C2×#53811yescharacteristic
1401C4#350511yescharacteristic
1402C4#353511yescharacteristic
1403C4#353611yescharacteristic
1404C2—42no—
1405C2—44no—
1406C2—82no—
1407C2—161no—
1408C2—161no—
1409C2—161no—
1410C2#3770311yescharacteristic
1411C2#6133911yescharacteristic
1412C2#6134311yescharacteristic
1413C2#6161411yescharacteristic
1414C2#6168811yescharacteristic
1415C2#6206411yescharacteristic
1416C2#6208311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#24354C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2396 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42976C2semidirect
2. #35836C2semidirect
3. #32917C2semidirect
4. #32622C2semidirect
5. #32606C2semidirect
6. #31830C2semidirect
7. #31814C2semidirect
8. #31656C2semidirect
9. #31634C2semidirect
10. #30891C2semidirect
11. #30887C2semidirect
12. #30195C2semidirect
13. #29959C2semidirect
14. #27571C2semidirect
15. #27550C2semidirect
16. #27279C2semidirect
17. #27271C2semidirect
18. #26421C2semidirect
19. #26419C2semidirect
20. #26178C2semidirect
21. #26168C2semidirect
22. #25946C2semidirect
23. #25938C2semidirect
24. #24738C2semidirect
25. #24731C2semidirect
26. #24355C2semidirect
28. #22884C2semidirect
29. #22868C2semidirect
30. #22294C2semidirect
31. #20934C2semidirect
33. C2×#554C22semidirect
35. C2×#490C22semidirect
36. C2×#488C22semidirect
39. C2×#463C22semidirect
40. C2×#463C22semidirect
45. C2×#442C22semidirect
46. C2×C4×SD16C22semidirect
59. #2592C22semidirect
60. #2580C22semidirect
63. #2548C22semidirect
64. #2548C22semidirect
65. #2544C22semidirect
66. #2542C22semidirect
67. #2512C22semidirect
68. #2512C22semidirect
70. #2454C22semidirect
71. #2454C22semidirect
74. #2448C22semidirect
75. #2445C22semidirect
86. #2349C22semidirect
87. D4×C4⋊C4C22semidirect
88. D4×C4⋊C4C22semidirect
92. #2100C22semidirect
93. #2100C22semidirect
94. #2099C22semidirect
95. #2099C22semidirect
96. #2092C22semidirect
97. #2092C22semidirect
98. #2088C22semidirect
99. #2088C22semidirect
100. #2074C22semidirect
101. #2073C22semidirect
102. #2071C22semidirect
103. #2071C22semidirect
104. #2067C22semidirect
105. #2067C22semidirect
106. #2066C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2065C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2041C22semidirect
119. #2041C22semidirect
120. #2026C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
124. #2024C22semidirect
125. #2023C22semidirect
126. #2023C22semidirect
127. #2023C22semidirect
132. #1989C22semidirect
133. #1989C22semidirect
134. #1985C22semidirect
135. #1984C22semidirect
136. #1973C22semidirect
137. #1970C22semidirect
138. #1959C22semidirect
139. #1957C22semidirect
140. #1940C22semidirect
141. #1939C22semidirect
142. #1936C22semidirect
143. #1936C22semidirect
144. #1936C22semidirect
145. #1934C22semidirect
146. #1934C22semidirect
147. #1934C22semidirect
148. #1926C22semidirect
149. #1926C22semidirect
150. #1921C22semidirect
151. #1918C22semidirect
152. #1917C22semidirect
153. #1917C22semidirect
154. #1916C22semidirect
155. #1916C22semidirect
160. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
182. #1863C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
190. #1803C22semidirect
191. #1802C22semidirect
192. #1802C22semidirect
193. #1802C22semidirect
197. #1762C22semidirect
198. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#429762
#358362
#329172
#326222
#326062
#318302
#318142
#316562
#316342
#308912
#308872
#301952
#299592
#275712
#275502
#272792
#272712
#264212
#264192
#261782
#261682
#259462
#259382
#247382
#247312
#243552
#243542
#228842
#228682
#222942
#209342