Finite Group Databasebeta

← #7032139

Subgroups — #7032139

Order 512.

1939 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45353C211yesmaximal, characteristic, complemented
2#44895C211yesmaximal, characteristic, complemented
3#32018C211yesmaximal, characteristic, complemented
4#31675C211yesmaximal, characteristic, complemented
5#31642C211yesmaximal, characteristic, complemented
6#31519C211yesmaximal, characteristic, complemented
7#31348C211yesmaximal, characteristic, complemented
8#31276C211yesmaximal, characteristic, complemented
9#31059C211yesmaximal, characteristic, complemented
10#30417C211yesmaximal, characteristic, complemented
11#29420C211yesmaximal, characteristic, complemented
12#29003C211yesmaximal, characteristic, complemented
13#27237C211yesmaximal, characteristic, complemented
14#26985C211yesmaximal, characteristic, complemented
15#26889C211yesmaximal, characteristic, complemented
16#26657C211yesmaximal, characteristic, complemented
17#26585C211yesmaximal, characteristic, complemented
18#25150C211yesmaximal, characteristic, complemented
19#24893C211yesmaximal, characteristic, complemented
20#24443C211yesmaximal, characteristic, complemented
21#24245C211yesmaximal, characteristic, complemented
22#24116C211yesmaximal, characteristic, complemented
23#23972C211yesmaximal, characteristic, complemented
24#23941C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23580C211yesmaximal, characteristic, complemented
28#22878C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22332C211yesmaximal, characteristic, complemented
31#22057C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#540C2211yescharacteristic, complemented
37C2×#474C2211yescharacteristic, complemented
38C2×#468C2211yescharacteristic, complemented
39C2×#463C2211yescharacteristic
40C2×#452C2211yescharacteristic
41C2×#452C2211yescharacteristic
42C2×#452C2211yescharacteristic, complemented
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#442C2211yescharacteristic
49C2×C4×D8C2211yescharacteristic
50C2×C4×D8C2211yescharacteristic
51C2×C4×D8C2211yescharacteristic
52C2×#417C2211yescharacteristic, complemented
53#2709—21no—
54#2708—21no—
55#2701—21no—
56#2699—21no—
57#2697—21no—
58#2693—21no—
59#2687—21no—
60#2673—21no—
61#2565C2211yescharacteristic, complemented
62#2562C2211yescharacteristic
63#2543—21no—
64#2537C2211yescharacteristic, complemented
65#2535C2211yescharacteristic
66#2492C2211yescharacteristic
67#2487C2211yescharacteristic
68#2452C2211yescharacteristic
69#2447C2211yescharacteristic
70#2444—21no—
71#2437—21no—
72#2427C2211yescharacteristic
73#2425—21no—
74#2422C2211yescharacteristic
75#2420C2211yescharacteristic, complemented
76#2419—21no—
77#2418—21no—
78#2417C2211yescharacteristic
79#2408C2211yescharacteristic
80#2407—21no—
81#2407C2211yescharacteristic
82#2407C2211yescharacteristic
83#2407C2211yescharacteristic, complemented
84#2404—21no—
85#2392C2211yescharacteristic
86#2366C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2339C2211yescharacteristic
89#2339C2211yescharacteristic, complemented
90D4×C22⋊C4C2211yescharacteristic
91#2324C2211yescharacteristic
92#2323C2211yescharacteristic, complemented
93#2311C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2093C2211yescharacteristic
96#2085C2211yescharacteristic, complemented
97#2077C2211yescharacteristic
98#2076C2211yescharacteristic, complemented
99#2075C2211yescharacteristic
100#2075C2211yescharacteristic
101#2072C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2059C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2041C2211yescharacteristic, complemented
108#2036C2211yescharacteristic
109#2036C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic, complemented
118#2026C2211yescharacteristic, complemented
119#2025C2211yescharacteristic
120#2025C2211yescharacteristic
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2015C2211yescharacteristic
124#2014C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1990C2211yescharacteristic, complemented
135#1973C2211yescharacteristic
136#1969C2211yescharacteristic, complemented
137#1968C2211yescharacteristic
138#1968C2211yescharacteristic, complemented
139#1958C2211yescharacteristic
140#1954C2211yescharacteristic
141#1954C2211yescharacteristic, complemented
142#1935C2211yescharacteristic, complemented
143#1934C2211yescharacteristic
144#1934C2211yescharacteristic, complemented
145#1933C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1928C2211yescharacteristic, complemented
148#1926C2211yescharacteristic
149#1925C2211yescharacteristic
150#1923C2211yescharacteristic
151#1923C2211yescharacteristic, complemented
152#1920C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1916C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic
158#1895C2211yescharacteristic
159#1894C2211yescharacteristic
160#1880C2211yescharacteristic
161#1880C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1878C2211yescharacteristic, complemented
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1870C2211yescharacteristic
179#1870C2211yescharacteristic
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1862C2211yescharacteristic
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1852C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1818C2211yescharacteristic, complemented
190#1809C2211yescharacteristic
191#1804C2211yescharacteristic
192#1802C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×AGL(1,ℤ/8)—24no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222#550—42no—
223#550—42no—
224#547—42no—
225#547—42no—
226#546—42no—
227#546—42no—
228#540—42no—
229#540—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×#127—21no—
232C2×#127C2311yescharacteristic
233C2×#125C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280#474—42no—
281#468—42no—
282#463—42no—
283#452—24no—
284#452—42no—
285#452—42no—
286#449—24no—
287#449—42no—
288#449—42no—
289#449—42no—
290#447—42no—
291#442—42no—
292C4×D8—42no—
293C4×D8—42no—
294C4×D8—42no—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304#417—42no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#400—21no—
350#400—21no—
351#400—21no—
352#399—21no—
353#398—21no—
354#398—21no—
355#398—21no—
356#398D411yescharacteristic
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397D411yescharacteristic
364#396—21no—
365#396—21no—
366#396D411yescharacteristic
367#396D411yescharacteristic
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#394D411yescharacteristic
379#394D411yescharacteristic
380#394D411yescharacteristic
381#393—21no—
382#393—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392D411yescharacteristic
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#387—21no—
417#387—21no—
418#387—21no—
419#386—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#386—21no—
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#385—21no—
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#384C2311yescharacteristic
450#382C2311yescharacteristic
451#381—21no—
452#381—21no—
453#381—21no—
454#381—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
469#379—21no—
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C2×#95—21no—
476C2×#95—21no—
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#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
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—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—44no—
525C2×#41—82no—
526C2×#41—82no—
527C22×Q8—21no—
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571AGL(1,ℤ/8)—416no—
572C2×Q16—22no—
573C2×Q16—41no—
574C2×Q16—41no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16#4114yescomplemented
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×M16—22no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C4⋊Q8—22no—
614C4⋊Q8—41no—
615#127—22no—
616#127—22no—
617#127—44no—
618#125—41no—
619#125—41no—
620#124—22no—
621#124—41no—
622#123—44no—
623#123—44no—
624#123—44no—
625#123—44no—
626#123—44no—
627#123—82no—
628C22⋊Q8—22no—
629C22⋊Q8—22no—
630C22⋊Q8—44no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—82no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—44no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—82no—
656#120—44no—
657#120—82no—
658C4×Q8—41no—
659C4×Q8—41no—
660C4×D4—22no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—44no—
681C4×D4—82no—
682C4×D4—82no—
683#117—41no—
684#117—41no—
685C2×C4⋊C4—22no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
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×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—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—44no—
761C2×C22⋊C4—82no—
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781#107—22no—
782#107—41no—
783#107—41no—
784#107—41no—
785#107—41no—
786#106—41no—
787#106—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—41no—
808#102—41no—
809#102—41no—
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—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830#97—41no—
831C4×C8—41no—
832C4×C8—41no—
833C4×C8—41no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
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#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
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—42no—
873C24—42no—
874C24—42no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24C22×D411yescharacteristic
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—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—816no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—42no—
907C2×Q8—42no—
908C2×Q8—81no—
909C2×Q8C2×#4112yes—
910C2×D4—24no—
911C2×D4—24no—
912C2×D4—24no—
913C2×D4—22no—
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—21no—
933C2×D4—21no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—44no—
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—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
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—
984C2×D4H(5,𝔽2)12yes—
985C2×D4H(5,𝔽2)12yes—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
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—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C2511yescharacteristic
1064Q16—82no—
1065SD16—44no—
1066SD16—44no—
1067SD16—82no—
1068SD16—82no—
1069D8—28no—
1070D8—44no—
1071D8—44no—
1072D8—44no—
1073M16—44no—
1074M16—82no—
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—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8C2×#4112yes—
1099C4⋊C4—22no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4H(5,𝔽2)12yes—
1141C22⋊C4—24no—
1142C22⋊C4—22no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
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—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
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—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—42no—
1201C42—81no—
1202C42—81no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—22no—
1217C23—21no—
1218C23—22no—
1219C23—22no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—84no—
1253C23—84no—
1254C23—84no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23—162no—
1259C23C23×D411yescharacteristic
1260Q8—22no—
1261Q8—22no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—84no—
1269D4—22no—
1270D4—22no—
1271D4—22no—
1272D4—22no—
1273D4—22no—
1274D4—22no—
1275D4—22no—
1276D4—22no—
1277D4—44no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—84no—
1287D4—84no—
1288D4—84no—
1289D4—82no—
1290D4—82no—
1291D4—84no—
1292D4—84no—
1293D4—84no—
1294D4—84no—
1295D4—84no—
1296D4—84no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—22no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—84no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4—162no—
1391C2×C4—162no—
1392C2×C4—162no—
1393C2×C4#57612yes—
1394C2×C4C22×#4111yescharacteristic
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4C2×H(5,𝔽2)11yescharacteristic
1397C2×C4C2×H(5,𝔽2)11yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4#58511yescharacteristic
1400C8—22no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—42no—
1437C22—42no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—168no—
1458C22D4×#4111yescharacteristic
1459C22#348411yescharacteristic
1460C22#348411yescharacteristic
1461C22C2×#57611yescharacteristic
1462C22#358411yescharacteristic
1463C22#358511yescharacteristic
1464C22#358611yescharacteristic
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—42no—
1470C4—41no—
1471C4—42no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4#349011yescharacteristic
1489C4#351911yescharacteristic
1490C4#353411yescharacteristic
1491C4#355811yescharacteristic
1492C2—81no—
1493C2—81no—
1494C2—81no—
1495C2—82no—
1496C2—82no—
1497C2—82no—
1498C2—82no—
1499C2#4311811yescharacteristic
1500C2#6154511yescharacteristic
1501C2#6154711yescharacteristic
1502C2#6160911yescharacteristic
1503C2#6162611yescharacteristic
1504C2#6164711yescharacteristic
1505C2#6165711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45353C2semidirect
2. #44895C2semidirect
3. #32018C2semidirect
4. #31675C2semidirect
5. #31642C2semidirect
6. #31519C2semidirect
7. #31348C2semidirect
8. #31276C2semidirect
9. #31059C2semidirect
10. #30417C2semidirect
11. #29420C2semidirect
12. #29003C2semidirect
13. #27237C2semidirect
14. #26985C2semidirect
15. #26889C2semidirect
16. #26657C2semidirect
17. #26585C2semidirect
18. #25150C2semidirect
19. #24893C2semidirect
20. #24443C2semidirect
21. #24245C2semidirect
22. #24116C2semidirect
23. #23972C2semidirect
24. #23941C2semidirect
25. #23869C2semidirect
26. #23863C2semidirect
27. #23580C2semidirect
28. #22878C2semidirect
29. #22442C2semidirect
30. #22332C2semidirect
31. #22057C2semidirect
36. C2×#540C22semidirect
37. C2×#474C22semidirect
38. C2×#468C22semidirect
42. C2×#452C22semidirect
52. C2×#417C22semidirect
61. #2565C22semidirect
64. #2537C22semidirect
75. #2420C22semidirect
83. #2407C22semidirect
86. #2366C22semidirect
89. #2339C22semidirect
92. #2323C22semidirect
94. #2101C22semidirect
96. #2085C22semidirect
98. #2076C22semidirect
101. #2072C22semidirect
102. #2068C22semidirect
103. #2065C22semidirect
104. #2059C22semidirect
105. #2056C22semidirect
107. #2041C22semidirect
109. #2036C22semidirect
110. #2035C22semidirect
111. #2035C22semidirect
113. #2034C22semidirect
117. #2033C22semidirect
118. #2026C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
124. #2014C22semidirect
134. #1990C22semidirect
136. #1969C22semidirect
138. #1968C22semidirect
141. #1954C22semidirect
142. #1935C22semidirect
144. #1934C22semidirect
145. #1933C22semidirect
146. #1928C22semidirect
147. #1928C22semidirect
151. #1923C22semidirect
152. #1920C22semidirect
153. #1918C22semidirect
154. #1916C22semidirect
155. #1916C22semidirect
167. #1878C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1872C22semidirect
181. #1870C22semidirect
182. #1863C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
186. #1852C22semidirect
187. #1852C22semidirect
188. #1824C22semidirect
189. #1818C22semidirect
198. #1762C22semidirect
199. C4×#102C22semidirect
201. #1753C22semidirect
202. #1750C22semidirect
586. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#453532
#448952
#320182
#316752
#316422
#315192
#313482
#312762
#310592
#304172
#294202
#290032
#272372
#269852
#268892
#266572
#265852
#251502
#248932
#244432
#242452
#241162
#239722
#239412
#238692
#238632
#235802
#228782
#224422
#223322
#220572