Finite Group Databasebeta

← #7336283

Subgroups — #7336283

Order 512.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59030C211yesmaximal, characteristic, complemented
2#45603C211yesmaximal, characteristic, complemented
3#32070C211yesmaximal, characteristic, complemented
4#31601C211yesmaximal, characteristic, complemented
5#31535C211yesmaximal, characteristic, complemented
6#31218C211yesmaximal, characteristic, complemented
7#31202C211yesmaximal, characteristic, complemented
8#31008C211yesmaximal, characteristic, complemented
9#30900C211yesmaximal, characteristic, complemented
10#30849C211yesmaximal, characteristic, complemented
11#30643C211yesmaximal, characteristic, complemented
12#30569C211yesmaximal, characteristic, complemented
13#30535C211yesmaximal, characteristic, complemented
14#30531C211yesmaximal, characteristic, complemented
15#29950C211yesmaximal, characteristic, complemented
16#29666C211yesmaximal, characteristic, complemented
17#28409C211yesmaximal, characteristic, complemented
18#28342C211yesmaximal, characteristic, complemented
19#28312C211yesmaximal, characteristic, complemented
20#27798C211yesmaximal, characteristic, complemented
21#26800C211yesmaximal, characteristic, complemented
22#26611C211yesmaximal, characteristic, complemented
23#26546C211yesmaximal, characteristic, complemented
24#26545C211yesmaximal, characteristic, complemented
25#26498C211yesmaximal, characteristic, complemented
26#25960C211yesmaximal, characteristic, complemented
27#25679C211yesmaximal, characteristic, complemented
28#25160C211yesmaximal, characteristic, complemented
29#24424C211yesmaximal, characteristic
30#24252C211yesmaximal, characteristic, complemented
31#22371C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C2×#529C2211yescharacteristic
34C2×#501C2211yescharacteristic, complemented
35C2×#489C2211yescharacteristic, complemented
36C2×#488C2211yescharacteristic, complemented
37C2×#484C2211yescharacteristic, complemented
38C2×#483C2211yescharacteristic, complemented
39C2×#480C2211yescharacteristic, complemented
40C2×#478C2211yescharacteristic, complemented
41C2×#467C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic
43C2×#464C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic
45C2×#463C2211yescharacteristic, complemented
46C2×#463C2211yescharacteristic, complemented
47C2×#450C2211yescharacteristic
48C2×#450C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#440C2211yescharacteristic
52C2×C4×D8C2211yescharacteristic, complemented
53C22×#102C2211yescharacteristic
54#2857C2211yescharacteristic, complemented
55#2850C2211yescharacteristic, complemented
56#2831—21no—
57#2781—21no—
58#2779—21no—
59#2768—21no—
60#2708—21no—
61#2691—21no—
62#2687—21no—
63#2685—21no—
64#2672—21no—
65#2571C2211yescharacteristic, complemented
66#2566C2211yescharacteristic, complemented
67#2544C2211yescharacteristic
68#2536C2211yescharacteristic
69#2534—21no—
70#2502C2211yescharacteristic, complemented
71#2491C2211yescharacteristic, complemented
72#2490C2211yescharacteristic
73#2489C2211yescharacteristic, complemented
74#2476—21no—
75#2454C2211yescharacteristic
76#2451C2211yescharacteristic, complemented
77#2448C2211yescharacteristic, complemented
78#2445C2211yescharacteristic
79#2442C2211yescharacteristic, complemented
80#2435C2211yescharacteristic
81#2435C2211yescharacteristic
82#2427C2211yescharacteristic, complemented
83#2426C2211yescharacteristic
84#2422C2211yescharacteristic, complemented
85#2418—21no—
86#2417C2211yescharacteristic
87#2416C2211yescharacteristic
88#2411—21no—
89#2405—21no—
90#2379—21no—
91#2367C2211yescharacteristic
92#2361C2211yescharacteristic
93D4×C22⋊C4—21no—
94D4×C22⋊C4C2211yescharacteristic
95C4×#123C2211yescharacteristic
96C2×#390C2211yescharacteristic
97#2097C2211yescharacteristic, complemented
98#2093C2211yescharacteristic
99#2093C2211yescharacteristic, complemented
100#2093C2211yescharacteristic, complemented
101#2092C2211yescharacteristic
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2067C2211yescharacteristic
108#2067C2211yescharacteristic
109#2067C2211yescharacteristic, complemented
110#2067C2211yescharacteristic, complemented
111#2067C2211yescharacteristic, complemented
112#2065C2211yescharacteristic
113#2059C2211yescharacteristic, complemented
114#2055C2211yescharacteristic, complemented
115#2054C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2041C2211yescharacteristic
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2026C2211yescharacteristic, complemented
127#2025C2211yescharacteristic
128#2025C2211yescharacteristic, complemented
129#2023C2211yescharacteristic
130#2023C2211yescharacteristic, complemented
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1992C2211yescharacteristic, complemented
146#1983C2211yescharacteristic
147#1973C2211yescharacteristic
148#1973C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1972C2211yescharacteristic
152#1972C2211yescharacteristic, complemented
153#1972C2211yescharacteristic, complemented
154#1968C2211yescharacteristic
155#1961C2211yescharacteristic
156#1959C2211yescharacteristic
157#1959C2211yescharacteristic, complemented
158#1955C2211yescharacteristic
159#1947C2211yescharacteristic, complemented
160#1943C2211yescharacteristic, complemented
161#1942C2211yescharacteristic, complemented
162#1940C2211yescharacteristic, complemented
163#1928C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1917C2211yescharacteristic, complemented
172#1917C2211yescharacteristic, complemented
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1869C2211yescharacteristic
179#1865C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1862C2211yescharacteristic
185#1862C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1852C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1807C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1804C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1776C2211yescharacteristic, complemented
200#1770C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215D42—42no—
216D42—42no—
217C2×C4⋊Q8C2311yescharacteristic
218C2×#127C2311yescharacteristic
219#529—42no—
220#529—42no—
221C2×#126—21no—
222C2×#125C2311yescharacteristic
223C2×#125C2311yescharacteristic
224C2×#124—21no—
225C2×#124C2311yescharacteristic
226C2×#124C2311yescharacteristic
227C2×#124C2311yescharacteristic
228C2×#124C2311yescharacteristic
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×#123D411yescharacteristic
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#120—21no—
245C2×#120—21no—
246C2×C4×Q8C2311yescharacteristic
247C2×C4×Q8C2311yescharacteristic
248C2×C4×D4—21no—
249C2×C4×D4—21no—
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×#117—21no—
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C22⋊C4—21no—
259C22×C22⋊C4—21no—
260C22×C22⋊C4—21no—
261C22×C42C2311yescharacteristic
262#501—42no—
263#489—42no—
264#488—42no—
265#484—42no—
266#483—42no—
267#480—42no—
268#478—42no—
269#467—42no—
270#466—42no—
271#464—42no—
272#463—42no—
273#463—42no—
274#460—42no—
275#450—42no—
276#450—42no—
277#447—42no—
278#447—42no—
279#440—42no—
280C4×D8—42no—
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102—42no—
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×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×C4×C8C2311yescharacteristic
343#400—21no—
344#400—21no—
345#400—21no—
346#400—21no—
347#399—21no—
348#399—21no—
349#398—21no—
350#398—21no—
351#398—21no—
352#398—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#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#395—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#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#393—21no—
383#391—21no—
384#391—21no—
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
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#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
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#388—21no—
423#388—21no—
424#388D411yescharacteristic
425#388D411yescharacteristic
426#387—21no—
427#387D411yescharacteristic
428#387D411yescharacteristic
429#386—21no—
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#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385D411yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#382—21no—
454#382—21no—
455#382C2311yescharacteristic
456#382C2311yescharacteristic
457#381D411yescharacteristic
458#380—21no—
459#380—21no—
460#380—21no—
461#380—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#379—21no—
468#379—21no—
469#379—21no—
470#379—21no—
471#379—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C4⋊C4C2311yescharacteristic
476C4×C22⋊C4—21no—
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C22×Q8—21no—
505C22×Q8C2411yescharacteristic
506C22×Q8C2411yescharacteristic
507C22×D4—21no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—44no—
528C22×D4—44no—
529C22×D4—82no—
530C22×D4C2×D411yescharacteristic
531C22×D4C2411yescharacteristic
532C22×D4C2411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4C2×D411yescharacteristic
542C23×C4C2×D411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C2×Q16—41no—
546C2×Q16—41no—
547C2×Q16—41no—
548C2×SD16—22no—
549C2×SD16—22no—
550C2×SD16—22no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×SD16—41no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C22×C8—22no—
570C22×C8—41no—
571C22×C8—41no—
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C4⋊Q8—41no—
581C4⋊Q8—41no—
582#127—22no—
583#127—41no—
584#126—44no—
585#125—22no—
586#125—41no—
587#125—41no—
588#125—41no—
589#124—22no—
590#124—22no—
591#124—41no—
592#124—41no—
593#124—41no—
594#124—41no—
595#124—41no—
596#124—41no—
597#124—44no—
598#123—42no—
599#123—44no—
600#123—82no—
601#123—82no—
602C22⋊Q8—41no—
603C22⋊Q8—41no—
604C22⋊Q8—41no—
605C22⋊Q8—41no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—82no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—44no—
615#121—41no—
616#121—41no—
617#121—41no—
618#121—41no—
619#121—41no—
620#121—82no—
621#120—44no—
622#120—44no—
623C4×Q8—22no—
624C4×Q8—41no—
625C4×Q8—41no—
626C4×Q8—41no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—44no—
638C4×D4—82no—
639#117—44no—
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—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4—41no—
665C2×C4⋊C4—41no—
666C2×C4⋊C4—41no—
667C2×C4⋊C4C2×D411yescharacteristic
668C2×C4⋊C4C2×D411yescharacteristic
669C2×C4⋊C4C2×D411yescharacteristic
670C2×C4⋊C4C2×D411yescharacteristic
671C2×C4⋊C4C2×D411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
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—82no—
727C2×C22⋊C4—82no—
728C2×C22⋊C4—82no—
729C2×C22⋊C4C2×D411yescharacteristic
730C2×C22⋊C4C2×D411yescharacteristic
731C2×C22⋊C4C2×D411yescharacteristic
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C22⋊C4C2×D411yescharacteristic
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42—21no—
741C2×C42—41no—
742C2×C42—41no—
743C2×C42C2×D411yescharacteristic
744C2×C42C2×D411yescharacteristic
745C2×C42C2411yescharacteristic
746C2×C42C2411yescharacteristic
747C2×C42C2411yescharacteristic
748C2×C42C2411yescharacteristic
749C2×C42C2411yescharacteristic
750#107—22no—
751#107—22no—
752#107—22no—
753#107—41no—
754#107—41no—
755#107—41no—
756#107—41no—
757#107—41no—
758#106—22no—
759#106—41no—
760#106—41no—
761#106—41no—
762C4⋊C8—22no—
763C4⋊C8—41no—
764C4⋊C8—41no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767#103—22no—
768#103—22no—
769#103—22no—
770#103—22no—
771#103—41no—
772#103—41no—
773#103—41no—
774#103—41no—
775#103—41no—
776#103—41no—
777#102—22no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
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—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799C22⋊C8—22no—
800C22⋊C8—22no—
801C22⋊C8—22no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805C22⋊C8—41no—
806#97—41no—
807#97—41no—
808#97—41no—
809#97—41no—
810C4×C8—22no—
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#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95C2×D411yescharacteristic
836#95C2×D411yescharacteristic
837#95C2×D411yescharacteristic
838#95C2×D411yescharacteristic
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—42no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—81no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24C22×D411yescharacteristic
864C24C22×D411yescharacteristic
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—42no—
878C2×Q8—81no—
879C2×Q8—81no—
880C2×D4—24no—
881C2×D4—22no—
882C2×D4—22no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—41no—
906C2×D4—42no—
907C2×D4—42no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—44no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—82no—
926C2×D4—82no—
927C2×D4—82no—
928C2×D4—82no—
929C2×D4—82no—
930C2×D4—82no—
931C2×D4—82no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—816no—
938C2×D4H(5,𝔽2)12yes—
939C2×D42−1+412yes—
940C22×C4—21no—
941C22×C4—22no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—41no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—42no—
973C22×C4—42no—
974C22×C4—42no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4—81no—
983C22×C4—81no—
984C22×C4—81no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4C22×D411yescharacteristic
989C22×C4C22×D411yescharacteristic
990C22×C4C22×D411yescharacteristic
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C22×D411yescharacteristic
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C22×D411yescharacteristic
999C22×C4C22×D411yescharacteristic
1000C22×C4C2511yescharacteristic
1001Q16—82no—
1002SD16—44no—
1003SD16—82no—
1004SD16—82no—
1005SD16—82no—
1006D8—44no—
1007D8—82no—
1008D8—82no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—82no—
1032C2×C8H(5,𝔽2)12yes—
1033C2×C8H(5,𝔽2)12yes—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—41no—
1054C4⋊C4—41no—
1055C4⋊C4—41no—
1056C4⋊C4—41no—
1057C4⋊C4—41no—
1058C4⋊C4—42no—
1059C4⋊C4—42no—
1060C4⋊C4—42no—
1061C4⋊C4—42no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4—81no—
1069C4⋊C4—81no—
1070C4⋊C4—81no—
1071C4⋊C4—81no—
1072C4⋊C4—81no—
1073C4⋊C4—81no—
1074C4⋊C4—81no—
1075C4⋊C4—81no—
1076C4⋊C4—81no—
1077C4⋊C4—81no—
1078C4⋊C4—81no—
1079C4⋊C4—81no—
1080C4⋊C4—81no—
1081C4⋊C4H(5,𝔽2)12yes—
1082C22⋊C4—24no—
1083C22⋊C4—22no—
1084C22⋊C4—22no—
1085C22⋊C4—22no—
1086C22⋊C4—41no—
1087C22⋊C4—41no—
1088C22⋊C4—41no—
1089C22⋊C4—41no—
1090C22⋊C4—41no—
1091C22⋊C4—42no—
1092C22⋊C4—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—42no—
1099C22⋊C4—42no—
1100C22⋊C4—42no—
1101C22⋊C4—42no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
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—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C42—21no—
1135C42—21no—
1136C42—21no—
1137C42—21no—
1138C42—21no—
1139C42—21no—
1140C42—21no—
1141C42—21no—
1142C42—21no—
1143C42—21no—
1144C42—41no—
1145C42—41no—
1146C42—42no—
1147C42—42no—
1148C42—81no—
1149C42—81no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—22no—
1163C23—22no—
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—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—84no—
1191C23—84no—
1192C23—84no—
1193C23—84no—
1194C23—84no—
1195C23—84no—
1196C23—84no—
1197C23—162no—
1198C23—162no—
1199C23—162no—
1200C23—162no—
1201C23—162no—
1202C23—162no—
1203C23—162no—
1204C23#57512yes—
1205C23#57612yes—
1206C23C23×D411yescharacteristic
1207Q8—41no—
1208Q8—41no—
1209Q8—41no—
1210Q8—41no—
1211Q8—41no—
1212Q8—41no—
1213Q8—41no—
1214Q8—41no—
1215Q8—162no—
1216D4—22no—
1217D4—22no—
1218D4—22no—
1219D4—22no—
1220D4—44no—
1221D4—48no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—41no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—84no—
1235D4—84no—
1236D4—84no—
1237D4—84no—
1238D4—162no—
1239D4—162no—
1240D4—162no—
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—22no—
1259C2×C4—21no—
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—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
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—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—82no—
1322C2×C4—82no—
1323C2×C4—84no—
1324C2×C4—84no—
1325C2×C4—162no—
1326C2×C4—162no—
1327C2×C4—162no—
1328C2×C4—162no—
1329C2×C4C2×H(5,𝔽2)11yescharacteristic
1330C2×C4C2×H(5,𝔽2)11yescharacteristic
1331C2×C4C2×H(5,𝔽2)11yescharacteristic
1332C2×C4C2×H(5,𝔽2)11yescharacteristic
1333C2×C4C2×2−1+411yescharacteristic
1334C2×C4#58511yescharacteristic
1335C8—22no—
1336C8—22no—
1337C8—41no—
1338C8—41no—
1339C8—41no—
1340C8—41no—
1341C8—41no—
1342C8—41no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—168no—
1386C22—168no—
1387C22#348411yescharacteristic
1388C22#348911yescharacteristic
1389C22#349811yescharacteristic
1390C22C2×#57511yescharacteristic
1391C22C2×#57611yescharacteristic
1392C22#358511yescharacteristic
1393C22#358611yescharacteristic
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—42no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—81no—
1408C4—81no—
1409C4—81no—
1410C4—81no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4—81no—
1415C4—81no—
1416C4—81no—
1417C4—81no—
1418C4#353611yescharacteristic
1419C4#353611yescharacteristic
1420C4#354211yescharacteristic
1421C4#355811yescharacteristic
1422C2—42no—
1423C2—42no—
1424C2—82no—
1425C2—82no—
1426C2—161no—
1427C2—161no—
1428C2#4795111yescharacteristic
1429C2#6159211yescharacteristic
1430C2#6165411yescharacteristic
1431C2#6211911yescharacteristic
1432C2#6215511yescharacteristic
1433C2#6245011yescharacteristic
1434C2#6245911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#24424C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59030C2semidirect
2. #45603C2semidirect
3. #32070C2semidirect
4. #31601C2semidirect
5. #31535C2semidirect
6. #31218C2semidirect
7. #31202C2semidirect
8. #31008C2semidirect
9. #30900C2semidirect
10. #30849C2semidirect
11. #30643C2semidirect
12. #30569C2semidirect
13. #30535C2semidirect
14. #30531C2semidirect
15. #29950C2semidirect
16. #29666C2semidirect
17. #28409C2semidirect
18. #28342C2semidirect
19. #28312C2semidirect
20. #27798C2semidirect
21. #26800C2semidirect
22. #26611C2semidirect
23. #26546C2semidirect
24. #26545C2semidirect
25. #26498C2semidirect
26. #25960C2semidirect
27. #25679C2semidirect
28. #25160C2semidirect
30. #24252C2semidirect
31. #22371C2semidirect
34. C2×#501C22semidirect
35. C2×#489C22semidirect
36. C2×#488C22semidirect
37. C2×#484C22semidirect
38. C2×#483C22semidirect
39. C2×#480C22semidirect
40. C2×#478C22semidirect
41. C2×#467C22semidirect
43. C2×#464C22semidirect
45. C2×#463C22semidirect
46. C2×#463C22semidirect
52. C2×C4×D8C22semidirect
54. #2857C22semidirect
55. #2850C22semidirect
65. #2571C22semidirect
66. #2566C22semidirect
70. #2502C22semidirect
71. #2491C22semidirect
73. #2489C22semidirect
76. #2451C22semidirect
77. #2448C22semidirect
79. #2442C22semidirect
82. #2427C22semidirect
84. #2422C22semidirect
97. #2097C22semidirect
99. #2093C22semidirect
100. #2093C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2071C22semidirect
105. #2068C22semidirect
106. #2068C22semidirect
109. #2067C22semidirect
110. #2067C22semidirect
111. #2067C22semidirect
113. #2059C22semidirect
114. #2055C22semidirect
115. #2054C22semidirect
116. #2042C22semidirect
118. #2036C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
122. #2034C22semidirect
126. #2026C22semidirect
128. #2025C22semidirect
130. #2023C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
139. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
145. #1992C22semidirect
148. #1973C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
152. #1972C22semidirect
153. #1972C22semidirect
157. #1959C22semidirect
159. #1947C22semidirect
160. #1943C22semidirect
161. #1942C22semidirect
162. #1940C22semidirect
163. #1928C22semidirect
164. #1926C22semidirect
165. #1926C22semidirect
166. #1925C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1917C22semidirect
172. #1917C22semidirect
175. #1878C22semidirect
176. #1877C22semidirect
179. #1865C22semidirect
180. #1864C22semidirect
181. #1864C22semidirect
182. #1863C22semidirect
183. #1863C22semidirect
185. #1862C22semidirect
186. #1862C22semidirect
187. #1852C22semidirect
188. #1852C22semidirect
189. #1852C22semidirect
190. #1850C22semidirect
191. #1807C22semidirect
192. #1805C22semidirect
194. #1804C22semidirect
195. #1797C22semidirect
199. #1776C22semidirect
200. #1770C22semidirect
201. #1752C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#590302
#456032
#320702
#316012
#315352
#312182
#312022
#310082
#309002
#308492
#306432
#305692
#305352
#305312
#299502
#296662
#284092
#283422
#283122
#277982
#268002
#266112
#265462
#265452
#264982
#259602
#256792
#251602
#244242
#242522
#223712