Finite Group Databasebeta

← #6767871

Subgroups — #6767871

Order 512.

1903 conjugacy classes of subgroups.

The subgroup lattice has 1501 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38089C211yesmaximal, characteristic, complemented
2#35523C211yesmaximal, characteristic, complemented
3#32911C211yesmaximal, characteristic, complemented
4#31933C211yesmaximal, characteristic, complemented
5#31863C211yesmaximal, characteristic, complemented
6#31657C211yesmaximal, characteristic, complemented
7#31539C211yesmaximal, characteristic, complemented
8#31011C211yesmaximal, characteristic, complemented
9#30890C211yesmaximal, characteristic, complemented
10#30749C211yesmaximal, characteristic, complemented
11#30446C211yesmaximal, characteristic, complemented
12#30112C211yesmaximal, characteristic, complemented
13#30053C211yesmaximal, characteristic, complemented
14#29564C211yesmaximal, characteristic, complemented
15#29380C211yesmaximal, characteristic, complemented
16#28587C211yesmaximal, characteristic, complemented
17#28343C211yesmaximal, characteristic, complemented
18#28133C211yesmaximal, characteristic, complemented
19#27709C211yesmaximal, characteristic, complemented
20#27263C211yesmaximal, characteristic, complemented
21#25793C211yesmaximal, characteristic, complemented
22#25605C211yesmaximal, characteristic, complemented
23#25551C211yesmaximal, characteristic, complemented
24#24427C211yesmaximal, characteristic, complemented
25#23963C211yesmaximal, characteristic, complemented
26#23938C211yesmaximal, characteristic, complemented
27#23869C211yesmaximal, characteristic, complemented
28#22794C211yesmaximal, characteristic, complemented
29#22274C211yesmaximal, characteristic, complemented
30#22051C211yesmaximal, characteristic, complemented
31#20929C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#529C2211yescharacteristic
36C2×#518C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#495C2211yescharacteristic
39C2×#490C2211yescharacteristic, complemented
40C2×#483C2211yescharacteristic
41C2×#468C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#452C2211yescharacteristic
46C2×#452C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#416C2211yescharacteristic
52C22×#102C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2673—21no—
55#2673—21no—
56#2671—21no—
57#2671—21no—
58#2641C2211yescharacteristic, complemented
59#2619C2211yescharacteristic
60#2600—21no—
61#2565C2211yescharacteristic, complemented
62#2541C2211yescharacteristic, complemented
63#2534—21no—
64#2501C2211yescharacteristic
65#2500C2211yescharacteristic, complemented
66#2485—21no—
67#2482—21no—
68#2480—21no—
69#2467—21no—
70#2467—21no—
71#2466—21no—
72#2464—21no—
73#2464—21no—
74#2455—21no—
75#2454C2211yescharacteristic
76#2447C2211yescharacteristic
77#2441C2211yescharacteristic
78#2435C2211yescharacteristic
79#2431C2211yescharacteristic
80#2431C2211yescharacteristic, complemented
81#2427C2211yescharacteristic
82#2422C2211yescharacteristic
83#2418—21no—
84#2415C2211yescharacteristic
85#2408C2211yescharacteristic
86#2326C2211yescharacteristic
87#2326C2211yescharacteristic, complemented
88#2323C2211yescharacteristic
89#2319C2211yescharacteristic
90#2311C2211yescharacteristic
91C4×#121C2211yescharacteristic
92#2297C2211yescharacteristic, complemented
93#2290C2211yescharacteristic
94#2100C2211yescharacteristic, complemented
95#2099C2211yescharacteristic, complemented
96#2094C2211yescharacteristic
97#2094C2211yescharacteristic
98#2085C2211yescharacteristic, complemented
99#2074C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2066C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2059C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2026C2211yescharacteristic, complemented
114#2026C2211yescharacteristic, complemented
115#2025C2211yescharacteristic
116#2025C2211yescharacteristic
117#2025C2211yescharacteristic, complemented
118#2015C2211yescharacteristic
119#2014C2211yescharacteristic, complemented
120#2014C2211yescharacteristic, complemented
121#2012C2211yescharacteristic
122#2012C2211yescharacteristic
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic
125#2011C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1992C2211yescharacteristic, complemented
135#1973C2211yescharacteristic
136#1972C2211yescharacteristic
137#1972C2211yescharacteristic
138#1970C2211yescharacteristic
139#1959C2211yescharacteristic
140#1959C2211yescharacteristic
141#1959C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1935C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1917C2211yescharacteristic, complemented
153#1917C2211yescharacteristic, complemented
154#1895C2211yescharacteristic
155#1893C2211yescharacteristic
156#1880C2211yescharacteristic
157#1880C2211yescharacteristic
158#1880C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1869C2211yescharacteristic
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1840C2211yescharacteristic, complemented
189#1834C2211yescharacteristic, complemented
190#1824C2211yescharacteristic
191#1817C2211yescharacteristic, complemented
192#1804C2211yescharacteristic
193#1804C2211yescharacteristic
194#1798C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1753C2211yescharacteristic
198#1752C2211yescharacteristic
199#1749C2211yescharacteristic, complemented
200#1746C2211yescharacteristic, complemented
201#1736C2211yescharacteristic
202#1729C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—24no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#553—42no—
224#553—42no—
225#550—42no—
226#550—42no—
227C2×#127—21no—
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231#529—42no—
232#529—42no—
233C2×#126—21no—
234C2×#126—21no—
235C2×#125C2311yescharacteristic
236C2×#125C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261#518—42no—
262#518—42no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117—21no—
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—21no—
283C22×C22⋊C4—21no—
284C22×C42C2311yescharacteristic
285#496—42no—
286#495—24no—
287#490—42no—
288#483—42no—
289#468—42no—
290#465—42no—
291#459—42no—
292#459—42no—
293#452—42no—
294#452—42no—
295#449—24no—
296#449—42no—
297#447—42no—
298#447—42no—
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305#416—42no—
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#102—42no—
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#399—21no—
350#399—21no—
351#399—21no—
352#399—21no—
353#398—21no—
354#398—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#396—21no—
361#396—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#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#389—21no—
404#389—21no—
405#389—21no—
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388D411yescharacteristic
423#388D411yescharacteristic
424#387—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#387D411yescharacteristic
429#387D411yescharacteristic
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386D411yescharacteristic
441#386D411yescharacteristic
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385D411yescharacteristic
450#385D411yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#381—21no—
456#381—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380—21no—
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#379—21no—
465#379—21no—
466#379—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474#376C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8C2411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559AGL(1,ℤ/8)—416no—
560C2×Q16—22no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16#4114yes—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×M16—22no—
597C2×M16—22no—
598C2×M16—41no—
599C22×C8—22no—
600C22×C8—41no—
601C22×C8—41no—
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610#127—41no—
611#127—41no—
612#127—41no—
613#127—41no—
614#127—41no—
615#127—41no—
616#127—44no—
617#126—44no—
618#126—44no—
619#125—22no—
620#125—41no—
621#125—41no—
622#125—41no—
623#124—22no—
624#124—22no—
625#124—22no—
626#124—41no—
627#124—41no—
628#124—41no—
629#123—44no—
630#123—44no—
631#123—82no—
632#123—82no—
633#123—82no—
634C22⋊Q8—22no—
635C22⋊Q8—22no—
636C22⋊Q8—22no—
637C22⋊Q8—41no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—44no—
645#121—44no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—44no—
653#121—82no—
654#121—82no—
655#121—82no—
656#121—82no—
657#120—82no—
658C4×Q8—41no—
659C4×Q8—41no—
660C4×Q8—41no—
661C4×Q8—41no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—22no—
667C4×D4—22no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—44no—
675C4×D4—44no—
676C4×D4—44no—
677C4×D4—44no—
678C4×D4—44no—
679C4×D4—82no—
680#117—22no—
681#117—41no—
682#117—41no—
683#117—41no—
684#117—41no—
685#117—41no—
686#117—44no—
687C2×C4⋊C4—22no—
688C2×C4⋊C4—22no—
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⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
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—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—44no—
768C2×C22⋊C4—44no—
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—21no—
782C2×C42—41no—
783C2×C42—41no—
784C2×C42C2×D411yescharacteristic
785C2×C42C2×D411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791#107—41no—
792#106—41no—
793#106—41no—
794#106—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797#103—22no—
798#103—22no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835#97—41no—
836#97—41no—
837#97—41no—
838C4×C8—22no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—42no—
874C24—42no—
875C24—42no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24C22×D411yescharacteristic
881C24C22×D411yescharacteristic
882#41—44no—
883#41—44no—
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888#41—82no—
889#41—82no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8C2×#4112yes—
902C2×D4—28no—
903C2×D4—22no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—44no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4C2×#4112yes—
983C2×D4H(5,𝔽2)12yes—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—24no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
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—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
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×C4—81no—
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×C4C22×D411yescharacteristic
1047C22×C4H(5,𝔽2)12yes—
1048C22×C4H(5,𝔽2)12yes—
1049C22×C4C2511yescharacteristic
1050Q16—82no—
1051SD16—44no—
1052SD16—44no—
1053SD16—82no—
1054SD16—82no—
1055SD16—82no—
1056D8—44no—
1057D8—44no—
1058D8—82no—
1059D8—82no—
1060D8—82no—
1061D8—82no—
1062M16—44no—
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—82no—
1087C2×C8C2×#4112yes—
1088C4⋊C4—22no—
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—21no—
1105C4⋊C4—21no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
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⋊C4H(5,𝔽2)12yes—
1130C22⋊C4—24no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
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—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—41no—
1194C42—41no—
1195C42—42no—
1196C42—42no—
1197C42—42no—
1198C42—42no—
1199C42—81no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—22no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—48no—
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—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—162no—
1250C23—162no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23#53512yes—
1256C23C23×D411yescharacteristic
1257Q8—22no—
1258Q8—22no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—22no—
1269D4—48no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—82no—
1287D4—84no—
1288D4—84no—
1289D4—84no—
1290D4—84no—
1291D4—84no—
1292D4—84no—
1293D4—162no—
1294D4—162no—
1295D4—162no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
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—22no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
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—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—84no—
1378C2×C4—84no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—84no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4#53512yes—
1388C2×C4C22×#4111yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4#58511yescharacteristic
1394C8—22no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—42no—
1411C22—41no—
1412C22—42no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—42no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
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—168no—
1452C22C2×#53511yescharacteristic
1453C22D4×#4111yescharacteristic
1454C22#348411yescharacteristic
1455C22#358411yescharacteristic
1456C22#358511yescharacteristic
1457C22#358511yescharacteristic
1458C22#358511yescharacteristic
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—42no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—42no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4#349011yescharacteristic
1483C4#351911yescharacteristic
1484C4#353411yescharacteristic
1485C4#354211yescharacteristic
1486C2—42no—
1487C2—81no—
1488C2—82no—
1489C2—82no—
1490C2—161no—
1491C2—161no—
1492C2—161no—
1493C2#3835811yescharacteristic
1494C2#6081511yescharacteristic
1495C2#6082711yescharacteristic
1496C2#6150711yescharacteristic
1497C2#6153111yescharacteristic
1498C2#6161411yescharacteristic
1499C2#6165311yescharacteristic
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. #38089C2semidirect
2. #35523C2semidirect
3. #32911C2semidirect
4. #31933C2semidirect
5. #31863C2semidirect
6. #31657C2semidirect
7. #31539C2semidirect
8. #31011C2semidirect
9. #30890C2semidirect
10. #30749C2semidirect
11. #30446C2semidirect
12. #30112C2semidirect
13. #30053C2semidirect
14. #29564C2semidirect
15. #29380C2semidirect
16. #28587C2semidirect
17. #28343C2semidirect
18. #28133C2semidirect
19. #27709C2semidirect
20. #27263C2semidirect
21. #25793C2semidirect
22. #25605C2semidirect
23. #25551C2semidirect
24. #24427C2semidirect
25. #23963C2semidirect
26. #23938C2semidirect
27. #23869C2semidirect
28. #22794C2semidirect
29. #22274C2semidirect
30. #22051C2semidirect
31. #20929C2semidirect
39. C2×#490C22semidirect
46. C2×#452C22semidirect
53. #2856C22semidirect
58. #2641C22semidirect
61. #2565C22semidirect
62. #2541C22semidirect
65. #2500C22semidirect
80. #2431C22semidirect
87. #2326C22semidirect
92. #2297C22semidirect
94. #2100C22semidirect
95. #2099C22semidirect
98. #2085C22semidirect
99. #2074C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
102. #2066C22semidirect
103. #2065C22semidirect
104. #2059C22semidirect
105. #2056C22semidirect
106. #2055C22semidirect
107. #2042C22semidirect
108. #2041C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2026C22semidirect
114. #2026C22semidirect
117. #2025C22semidirect
119. #2014C22semidirect
120. #2014C22semidirect
128. #2000C22semidirect
129. #2000C22semidirect
134. #1992C22semidirect
141. #1959C22semidirect
142. #1936C22semidirect
143. #1936C22semidirect
144. #1935C22semidirect
145. #1934C22semidirect
146. #1927C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1917C22semidirect
153. #1917C22semidirect
158. #1880C22semidirect
159. #1880C22semidirect
160. #1880C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
177. #1877C22semidirect
182. #1873C22semidirect
185. #1865C22semidirect
186. #1864C22semidirect
187. #1854C22semidirect
188. #1840C22semidirect
189. #1834C22semidirect
191. #1817C22semidirect
196. #1788C22semidirect
199. #1749C22semidirect
200. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#380892
#355232
#329112
#319332
#318632
#316572
#315392
#310112
#308902
#307492
#304462
#301122
#300532
#295642
#293802
#285872
#283432
#281332
#277092
#272632
#257932
#256052
#255512
#244272
#239632
#239382
#238692
#227942
#222742
#220512
#209292