Finite Group Databasebeta

← #7032083

Subgroups — #7032083

Order 512.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59807C211yesmaximal, characteristic, complemented
2#59041C211yesmaximal, characteristic, complemented
3#32020C211yesmaximal, characteristic, complemented
4#31666C211yesmaximal, characteristic, complemented
5#31643C211yesmaximal, characteristic, complemented
6#31527C211yesmaximal, characteristic, complemented
7#31349C211yesmaximal, characteristic, complemented
8#31279C211yesmaximal, characteristic, complemented
9#31056C211yesmaximal, characteristic, complemented
10#30416C211yesmaximal, characteristic, complemented
11#29411C211yesmaximal, characteristic, complemented
12#29000C211yesmaximal, characteristic, complemented
13#27240C211yesmaximal, characteristic, complemented
14#26982C211yesmaximal, characteristic, complemented
15#26888C211yesmaximal, characteristic, complemented
16#26685C211yesmaximal, characteristic, complemented
17#26587C211yesmaximal, characteristic, complemented
18#25164C211yesmaximal, characteristic, complemented
19#24912C211yesmaximal, characteristic, complemented
20#24440C211yesmaximal, characteristic, complemented
21#24245C211yesmaximal, characteristic, complemented
22#24125C211yesmaximal, characteristic, complemented
23#23982C211yesmaximal, characteristic, complemented
24#23930C211yesmaximal, characteristic, complemented
25#23861C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23576C211yesmaximal, characteristic, complemented
28#22880C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#22331C211yesmaximal, characteristic, complemented
31#22046C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#552C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic, complemented
36C2×#532C2211yescharacteristic
37C2×#478C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#463C2211yescharacteristic, complemented
40C2×#449C2211yescharacteristic
41C2×#450C2211yescharacteristic, complemented
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic, complemented
48C2×#440C2211yescharacteristic, complemented
49C2×#440C2211yescharacteristic, complemented
50C2×C4×SD16C2211yescharacteristic, complemented
51C2×C4×D8C2211yescharacteristic, complemented
52C2×#418C2211yescharacteristic, complemented
53#2714—21no—
54#2694—21no—
55#2684—21no—
56#2684—21no—
57#2563C2211yescharacteristic, complemented
58#2563C2211yescharacteristic, complemented
59#2554—21no—
60#2539—21no—
61#2535—21no—
62#2535C2211yescharacteristic
63#2535C2211yescharacteristic
64#2490—21no—
65#2490C2211yescharacteristic, complemented
66#2486C2211yescharacteristic, complemented
67#2454C2211yescharacteristic, complemented
68#2448C2211yescharacteristic, complemented
69#2426C2211yescharacteristic, complemented
70#2420—21no—
71#2420C2211yescharacteristic, complemented
72#2420C2211yescharacteristic, complemented
73#2414C2211yescharacteristic
74#2412—21no—
75#2411—21no—
76#2408—21no—
77#2408C2211yescharacteristic
78#2408C2211yescharacteristic
79#2408C2211yescharacteristic, complemented
80#2407C2211yescharacteristic
81#2404—21no—
82#2404—21no—
83#2366C2211yescharacteristic, complemented
84#2363C2211yescharacteristic, complemented
85#2342—21no—
86#2341C2211yescharacteristic, complemented
87D4×C22⋊C4—21no—
88D4×C22⋊C4C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic, complemented
90C4×C22⋊Q8C2211yescharacteristic, complemented
91C4×#121C2211yescharacteristic
92C4×#121C2211yescharacteristic
93C2×#390C2211yescharacteristic, complemented
94#2101C2211yescharacteristic, complemented
95#2092C2211yescharacteristic, complemented
96#2085C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2075C2211yescharacteristic, complemented
100#2075C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2057C2211yescharacteristic, complemented
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic, complemented
107#2041C2211yescharacteristic, complemented
108#2036C2211yescharacteristic, complemented
109#2035C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2033C2211yescharacteristic
112#2033C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2033C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2014C2211yescharacteristic, complemented
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic, complemented
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1991C2211yescharacteristic, complemented
135#1972C2211yescharacteristic
136#1972C2211yescharacteristic
137#1970C2211yescharacteristic
138#1970C2211yescharacteristic, complemented
139#1958C2211yescharacteristic, complemented
140#1954C2211yescharacteristic, complemented
141#1954C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1921C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1916C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1895C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1894C2211yescharacteristic, complemented
160#1880C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1870C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1865C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1817C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—24no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223#552—42no—
224#552—42no—
225#546—42no—
226#546—42no—
227D42—42no—
228D42—42no—
229#532—42no—
230#532—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#126—21no—
234C2×#125—21no—
235C2×#125C2311yescharacteristic
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121D411yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4—21no—
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×#117—21no—
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C22⋊C4—21no—
283C22×C42C2311yescharacteristic
284#478—42no—
285#469—42no—
286#463—42no—
287#450—42no—
288#449—42no—
289#447—24no—
290#447—24no—
291#447—42no—
292#447—42no—
293#447—42no—
294#447—42no—
295#440—42no—
296#440—42no—
297C4×SD16—42no—
298C4×D8—42no—
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308#418—42no—
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
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×#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×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#399—21no—
354#399—21no—
355#398—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#396—21no—
364#396—21no—
365#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#393—21no—
375#393—21no—
376#393—21no—
377#393—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#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390D411yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389D411yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388D411yescharacteristic
421#388D411yescharacteristic
422#387—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#386D411yescharacteristic
439#386D411yescharacteristic
440#385—21no—
441#385—21no—
442#385—21no—
443#382—21no—
444#382C2311yescharacteristic
445#382C2311yescharacteristic
446#381—21no—
447#381—21no—
448#381—21no—
449#380—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380D411yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464#379—21no—
465#379—21no—
466#379—21no—
467C4×C4⋊C4—21no—
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
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—
506C25—21no—
507C25—21no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—44no—
515C2×#41—82no—
516C2×#41—82no—
517C22×Q8—21no—
518C22×Q8C2411yescharacteristic
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
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—21no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—44no—
552C22×D4—44no—
553C22×D4—82no—
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4C2×D411yescharacteristic
571C23×C4C2×D411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575AGL(1,ℤ/8)—416no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8#4114yescomplemented
603C2×M16—22no—
604C2×M16—41no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16—41no—
608C2×M16—41no—
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C4⋊Q8—41no—
618C4⋊Q8—41no—
619#127—22no—
620#127—22no—
621#126—44no—
622#125—22no—
623#125—41no—
624#125—44no—
625#124—22no—
626#124—41no—
627#124—44no—
628#123—44no—
629#123—44no—
630#123—82no—
631C22⋊Q8—22no—
632C22⋊Q8—22no—
633C22⋊Q8—22no—
634C22⋊Q8—41no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—42no—
643#121—41no—
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—41no—
654#121—41no—
655#120—44no—
656#120—44no—
657#120—44no—
658#120—82no—
659#120—82no—
660#120—82no—
661C4×Q8—22no—
662C4×Q8—41no—
663C4×Q8—41no—
664C4×Q8—41no—
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—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—44no—
684C4×D4—82no—
685C4×D4—82no—
686#117—22no—
687#117—44no—
688#117—41no—
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⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—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⋊C4—82no—
770C2×C22⋊C4—82no—
771C2×C22⋊C4—82no—
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—41no—
788C2×C42—41no—
789C2×C42C2×D411yescharacteristic
790C2×C42C2×D411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795#107—22no—
796#107—41no—
797#107—41no—
798#107—41no—
799#106—41no—
800#106—41no—
801#106—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804#103—22no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
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—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844#97—41no—
845#97—41no—
846C4×C8—41no—
847C4×C8—41no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—42no—
880C24—42no—
881C24—42no—
882C24—42no—
883C24—42no—
884C24—42no—
885C24—42no—
886C24—42no—
887C24—42no—
888C24—42no—
889C24—81no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902C24C22×D411yescharacteristic
903#41—44no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—816no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—42no—
914C2×Q8—81no—
915C2×Q8—81no—
916C2×Q8H(5,𝔽2)12yes—
917C2×D4—24no—
918C2×D4—24no—
919C2×D4—22no—
920C2×D4—22no—
921C2×D4—22no—
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—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—42no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—44no—
964C2×D4—44no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—82no—
988C2×D4—82no—
989C2×D4—82no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—816no—
1007C2×D4C2×#4112yes—
1008C2×D4C2×#4112yes—
1009C2×D4H(5,𝔽2)12yes—
1010C2×D4H(5,𝔽2)12yes—
1011C22×C4—22no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—22no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C2511yescharacteristic
1082SD16—28no—
1083SD16—44no—
1084SD16—44no—
1085D8—44no—
1086D8—44no—
1087D8—44no—
1088D8—82no—
1089D8—82no—
1090D8—82no—
1091M16—44no—
1092M16—82no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8C2×#4112yes—
1117C4⋊C4—24no—
1118C4⋊C4—22no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4H(5,𝔽2)12yes—
1154C22⋊C4—24no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—41no—
1222C42—41no—
1223C42—42no—
1224C42—42no—
1225C42—42no—
1226C42—81no—
1227C42—81no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—22no—
1239C23—22no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—22no—
1244C23—22no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—84no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23—84no—
1288C23—84no—
1289C23—84no—
1290C23—84no—
1291C23—84no—
1292C23—84no—
1293C23—162no—
1294C23—162no—
1295C23—162no—
1296C23—162no—
1297C23—162no—
1298C23—162no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23—162no—
1303C23—162no—
1304C23#57612yes—
1305C23C23×D411yescharacteristic
1306Q8—22no—
1307Q8—22no—
1308Q8—41no—
1309Q8—41no—
1310Q8—84no—
1311D4—22no—
1312D4—22no—
1313D4—22no—
1314D4—22no—
1315D4—22no—
1316D4—22no—
1317D4—22no—
1318D4—22no—
1319D4—48no—
1320D4—44no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—82no—
1334D4—82no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—44no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—82no—
1427C2×C4—84no—
1428C2×C4—84no—
1429C2×C4—84no—
1430C2×C4—84no—
1431C2×C4—84no—
1432C2×C4—162no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4#57512yes—
1436C2×C4C22×#4111yescharacteristic
1437C2×C4C2×H(5,𝔽2)11yescharacteristic
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C2×C4#58511yescharacteristic
1442C8—22no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—41no—
1463C22—42no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—41no—
1472C22—41no—
1473C22—42no—
1474C22—42no—
1475C22—41no—
1476C22—41no—
1477C22—42no—
1478C22—42no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—168no—
1507C22—168no—
1508C22—168no—
1509C22D4×#4111yescharacteristic
1510C22#348411yescharacteristic
1511C22#348411yescharacteristic
1512C22C2×#57511yescharacteristic
1513C22C2×#57611yescharacteristic
1514C22#358511yescharacteristic
1515C22#358511yescharacteristic
1516C4—22no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—42no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—42no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4#349011yescharacteristic
1539C4#351911yescharacteristic
1540C4#353411yescharacteristic
1541C4#355811yescharacteristic
1542C2—42no—
1543C2—81no—
1544C2—81no—
1545C2—82no—
1546C2—82no—
1547C2—82no—
1548C2—82no—
1549C2—161no—
1550C2#4311811yescharacteristic
1551C2#6146411yescharacteristic
1552C2#6151911yescharacteristic
1553C2#6158111yescharacteristic
1554C2#6160511yescharacteristic
1555C2#6160911yescharacteristic
1556C2#6167311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59807C2semidirect
2. #59041C2semidirect
3. #32020C2semidirect
4. #31666C2semidirect
5. #31643C2semidirect
6. #31527C2semidirect
7. #31349C2semidirect
8. #31279C2semidirect
9. #31056C2semidirect
10. #30416C2semidirect
11. #29411C2semidirect
12. #29000C2semidirect
13. #27240C2semidirect
14. #26982C2semidirect
15. #26888C2semidirect
16. #26685C2semidirect
17. #26587C2semidirect
18. #25164C2semidirect
19. #24912C2semidirect
20. #24440C2semidirect
21. #24245C2semidirect
22. #24125C2semidirect
23. #23982C2semidirect
24. #23930C2semidirect
25. #23861C2semidirect
26. #23860C2semidirect
27. #23576C2semidirect
28. #22880C2semidirect
29. #22443C2semidirect
30. #22331C2semidirect
31. #22046C2semidirect
33. C2×#552C22semidirect
34. C2×#546C22semidirect
35. C2×D42C22semidirect
37. C2×#478C22semidirect
39. C2×#463C22semidirect
41. C2×#450C22semidirect
46. C2×#447C22semidirect
47. C2×#447C22semidirect
48. C2×#440C22semidirect
49. C2×#440C22semidirect
50. C2×C4×SD16C22semidirect
51. C2×C4×D8C22semidirect
52. C2×#418C22semidirect
57. #2563C22semidirect
58. #2563C22semidirect
65. #2490C22semidirect
66. #2486C22semidirect
67. #2454C22semidirect
68. #2448C22semidirect
69. #2426C22semidirect
71. #2420C22semidirect
72. #2420C22semidirect
79. #2408C22semidirect
83. #2366C22semidirect
84. #2363C22semidirect
86. #2341C22semidirect
88. D4×C22⋊C4C22semidirect
89. D4×C22⋊C4C22semidirect
90. C4×C22⋊Q8C22semidirect
93. C2×#390C22semidirect
94. #2101C22semidirect
95. #2092C22semidirect
96. #2085C22semidirect
97. #2077C22semidirect
98. #2077C22semidirect
99. #2075C22semidirect
100. #2075C22semidirect
101. #2073C22semidirect
102. #2067C22semidirect
103. #2067C22semidirect
104. #2057C22semidirect
106. #2054C22semidirect
107. #2041C22semidirect
108. #2036C22semidirect
109. #2035C22semidirect
110. #2034C22semidirect
112. #2033C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2033C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2024C22semidirect
121. #2023C22semidirect
122. #2023C22semidirect
123. #2014C22semidirect
125. #2012C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
134. #1991C22semidirect
138. #1970C22semidirect
139. #1958C22semidirect
140. #1954C22semidirect
141. #1954C22semidirect
142. #1936C22semidirect
143. #1936C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1928C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1921C22semidirect
153. #1918C22semidirect
154. #1916C22semidirect
155. #1916C22semidirect
156. #1895C22semidirect
157. #1895C22semidirect
158. #1895C22semidirect
159. #1894C22semidirect
160. #1880C22semidirect
161. #1880C22semidirect
162. #1880C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1877C22semidirect
174. #1875C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1870C22semidirect
179. #1870C22semidirect
180. #1870C22semidirect
181. #1870C22semidirect
182. #1865C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1854C22semidirect
187. #1853C22semidirect
188. #1825C22semidirect
189. #1817C22semidirect
190. #1809C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1788C22semidirect
194. #1788C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. #1749C22semidirect
602. C2×D8#41semidirect

Maximal subgroups

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

subgroupindex
#598072
#590412
#320202
#316662
#316432
#315272
#313492
#312792
#310562
#304162
#294112
#290002
#272402
#269822
#268882
#266852
#265872
#251642
#249122
#244402
#242452
#241252
#239822
#239302
#238612
#238602
#235762
#228802
#224432
#223312
#220462