Finite Group Databasebeta

← #6599599

Subgroups — #6599599

Order 512.

2260 conjugacy classes of subgroups.

The subgroup lattice has 1489 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36369C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic, complemented
3#33080C211yesmaximal, characteristic, complemented
4#33002C211yesmaximal, characteristic, complemented
5#32902C211yesmaximal, characteristic, complemented
6#29493C211yesmaximal, characteristic, complemented
7#29476C211yesmaximal, characteristic, complemented
8#29412C211yesmaximal, characteristic, complemented
9#29365C211yesmaximal, characteristic, complemented
10#29239C211yesmaximal, characteristic, complemented
11#28578C211yesmaximal, characteristic, complemented
12#27520C211yesmaximal, characteristic, complemented
13#27317C211yesmaximal, characteristic, complemented
14#27096C211yesmaximal, characteristic, complemented
15#26926C211yesmaximal, characteristic, complemented
16#26771C211yesmaximal, characteristic, complemented
17#26601C211yesmaximal, characteristic, complemented
18#26214C211yesmaximal, characteristic, complemented
19#26174C211yesmaximal, characteristic, complemented
20#26142C211yesmaximal, characteristic, complemented
21#25148C211yesmaximal, characteristic, complemented
22#24440C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#23143C211yesmaximal, characteristic, complemented
25#23039C211yesmaximal, characteristic, complemented
26#22880C211yesmaximal, characteristic, complemented
27#22868C211yesmaximal, characteristic, complemented
28#22786C211yesmaximal, characteristic, complemented
29#21452C211yesmaximal, characteristic, complemented
30#21118C211yesmaximal, characteristic, complemented
31#20873C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C22×C4×D4—21no—
34C22×C4×D4C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C2×#480C2211yescharacteristic, complemented
37C2×#469C2211yescharacteristic
38C2×#469C2211yescharacteristic
39C2×#459C2211yescharacteristic
40C2×#459C2211yescharacteristic, complemented
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#442C2211yescharacteristic
46C2×#442C2211yescharacteristic, complemented
47C2×C4×D8C2211yescharacteristic
48C2×#428C2211yescharacteristic, complemented
49C2×#418C2211yescharacteristic
50C2×#418C2211yescharacteristic
51#2860C2211yescharacteristic, complemented
52#2856C2211yescharacteristic, complemented
53#2854C2211yescharacteristic, complemented
54#2593—21no—
55#2559—21no—
56#2554—21no—
57#2507C2211yescharacteristic, complemented
58#2497C2211yescharacteristic, complemented
59#2476—21no—
60#2464—21no—
61#2456—21no—
62#2445C2211yescharacteristic, complemented
63#2428C2211yescharacteristic, complemented
64#2414C2211yescharacteristic
65#2414C2211yescharacteristic
66#2374—21no—
67#2366C2211yescharacteristic
68#2363—21no—
69#2363C2211yescharacteristic, complemented
70#2363C2211yescharacteristic, complemented
71#2361—21no—
72#2361C2211yescharacteristic
73#2361C2211yescharacteristic
74#2358—21no—
75#2358—21no—
76D4×C4⋊C4C2211yescharacteristic
77D4×C4⋊C4C2211yescharacteristic
78D4×C22⋊C4—21no—
79D4×C22⋊C4C2211yescharacteristic
80D4×C22⋊C4C2211yescharacteristic
81C4×#127C2211yescharacteristic
82C4×#121—21no—
83C4×#121C2211yescharacteristic
84C4×#121C2211yescharacteristic
85C4×#121C2211yescharacteristic, complemented
86C4×#120—21no—
87C4×#120—21no—
88#2296C2211yescharacteristic, complemented
89#2293C2211yescharacteristic, complemented
90C42×D4C2211yescharacteristic
91C42×D4C2211yescharacteristic
92#2100C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2088C2211yescharacteristic, complemented
95#2086C2211yescharacteristic, complemented
96#2084C2211yescharacteristic, complemented
97#2083C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2041C2211yescharacteristic
105#2041C2211yescharacteristic
106#2041C2211yescharacteristic, complemented
107#2034C2211yescharacteristic
108#2034C2211yescharacteristic
109#2033C2211yescharacteristic, complemented
110#2033C2211yescharacteristic, complemented
111#2011C2211yescharacteristic
112#2011C2211yescharacteristic
113#2011C2211yescharacteristic, complemented
114#1999C2211yescharacteristic
115#1999C2211yescharacteristic
116#1972C2211yescharacteristic, complemented
117#1970C2211yescharacteristic, complemented
118#1970C2211yescharacteristic, complemented
119#1944C2211yescharacteristic, complemented
120#1936C2211yescharacteristic, complemented
121#1936C2211yescharacteristic, complemented
122#1934C2211yescharacteristic, complemented
123#1934C2211yescharacteristic, complemented
124#1926C2211yescharacteristic, complemented
125#1926C2211yescharacteristic, complemented
126#1926C2211yescharacteristic, complemented
127#1926C2211yescharacteristic, complemented
128#1926C2211yescharacteristic, complemented
129#1926C2211yescharacteristic, complemented
130#1925C2211yescharacteristic, complemented
131#1925C2211yescharacteristic, complemented
132#1923C2211yescharacteristic, complemented
133#1923C2211yescharacteristic, complemented
134#1921C2211yescharacteristic, complemented
135#1921C2211yescharacteristic, complemented
136#1921C2211yescharacteristic, complemented
137#1920C2211yescharacteristic, complemented
138#1920C2211yescharacteristic, complemented
139#1919C2211yescharacteristic, complemented
140#1917C2211yescharacteristic, complemented
141#1917C2211yescharacteristic, complemented
142#1895C2211yescharacteristic, complemented
143#1895C2211yescharacteristic, complemented
144#1879C2211yescharacteristic
145#1879C2211yescharacteristic
146#1879C2211yescharacteristic
147#1879C2211yescharacteristic
148#1879C2211yescharacteristic
149#1879C2211yescharacteristic
150#1879C2211yescharacteristic, complemented
151#1879C2211yescharacteristic, complemented
152#1879C2211yescharacteristic, complemented
153#1879C2211yescharacteristic, complemented
154#1879C2211yescharacteristic, complemented
155#1879C2211yescharacteristic, complemented
156#1879C2211yescharacteristic, complemented
157#1879C2211yescharacteristic, complemented
158#1875C2211yescharacteristic
159#1875C2211yescharacteristic
160#1874C2211yescharacteristic, complemented
161#1874C2211yescharacteristic, complemented
162#1874C2211yescharacteristic, complemented
163#1870C2211yescharacteristic
164#1870C2211yescharacteristic
165#1864C2211yescharacteristic
166#1864C2211yescharacteristic
167#1864C2211yescharacteristic
168#1864C2211yescharacteristic
169#1864C2211yescharacteristic
170#1864C2211yescharacteristic, complemented
171#1864C2211yescharacteristic, complemented
172#1864C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1862C2211yescharacteristic
175#1862C2211yescharacteristic
176#1862C2211yescharacteristic
177#1862C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1839C2211yescharacteristic, complemented
185#1823C2211yescharacteristic, complemented
186#1817C2211yescharacteristic, complemented
187#1802C2211yescharacteristic
188#1802C2211yescharacteristic, complemented
189#1797C2211yescharacteristic, complemented
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192C4×#106C2211yescharacteristic, complemented
193#1762C2211yescharacteristic
194#1762C2211yescharacteristic, complemented
195C4×#102C2211yescharacteristic
196C4×#102C2211yescharacteristic, complemented
197#1753C2211yescharacteristic, complemented
198#1753C2211yescharacteristic, complemented
199#1749C2211yescharacteristic, complemented
200#1744C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4—21no—
207C24×C4—21no—
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216D42—24no—
217D42—24no—
218C2×#127C2311yescharacteristic
219C2×#127C2311yescharacteristic
220C2×#126—21no—
221C2×#123—21no—
222C2×#123—21no—
223C2×#121—21no—
224C2×#121—21no—
225C2×#121—21no—
226C2×#121—21no—
227C2×#121C2311yescharacteristic
228C2×#121C2311yescharacteristic
229C2×#121C2311yescharacteristic
230C2×#121C2311yescharacteristic
231C2×#121C2311yescharacteristic
232C2×#121C2311yescharacteristic
233C2×#120—21no—
234C2×#120—21no—
235C2×C4×D4—21no—
236C2×C4×D4—21no—
237C2×C4×D4—21no—
238C2×C4×D4—21no—
239C2×C4×D4—21no—
240C2×C4×D4—21no—
241C2×C4×D4—21no—
242C2×C4×D4—21no—
243C2×C4×D4—21no—
244C2×C4×D4—21no—
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4—42no—
249C2×C4×D4—42no—
250C2×C4×D4—42no—
251C2×C4×D4—42no—
252C2×C4×D4—48no—
253C2×C4×D4D411yescharacteristic
254C2×C4×D4D411yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117—21no—
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4—21no—
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C22⋊C4—21no—
277C22×C42—21no—
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280#480—42no—
281#469—24no—
282#469—24no—
283#459—42no—
284#459—42no—
285#447—24no—
286#447—24no—
287#447—24no—
288#447—42no—
289#442—42no—
290#442—42no—
291C4×D8—24no—
292#428—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305#418—24no—
306#418—42no—
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#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×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#398—21no—
347#398—21no—
348#396—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#392—21no—
355#392—21no—
356#392—21no—
357#390—21no—
358#390—21no—
359#390—21no—
360#390—21no—
361#390—21no—
362#390—21no—
363#390—21no—
364#390—21no—
365#390—21no—
366#390C2311yescharacteristic
367#390C2311yescharacteristic
368#390C2311yescharacteristic
369#390C2311yescharacteristic
370#390C2311yescharacteristic
371#390C2311yescharacteristic
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#389—21no—
377#389—21no—
378#389C2311yescharacteristic
379#389C2311yescharacteristic
380#389C2311yescharacteristic
381#389C2311yescharacteristic
382#389C2311yescharacteristic
383#389C2311yescharacteristic
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#388—21no—
389#388—21no—
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#387—21no—
406#387—21no—
407#386—21no—
408#386—21no—
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#385—21no—
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#384C2311yescharacteristic
432#384C2311yescharacteristic
433#380—21no—
434#380C2311yescharacteristic
435#380C2311yescharacteristic
436#380C2311yescharacteristic
437#380C2311yescharacteristic
438#379—21no—
439#379—21no—
440C4×C4⋊C4—21no—
441C4×C4⋊C4—21no—
442C4×C4⋊C4D411yescharacteristic
443C4×C4⋊C4D411yescharacteristic
444C4×C4⋊C4C2311yescharacteristic
445C4×C4⋊C4C2311yescharacteristic
446C4×C4⋊C4C2311yescharacteristic
447C4×C4⋊C4C2311yescharacteristic
448C4×C4⋊C4C2311yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C22⋊C4—21no—
451C4×C22⋊C4—21no—
452C4×C22⋊C4—21no—
453C4×C22⋊C4—21no—
454C4×C22⋊C4—21no—
455C4×C22⋊C4—21no—
456C4×C22⋊C4—21no—
457C4×C22⋊C4—21no—
458C4×C22⋊C4—21no—
459C4×C22⋊C4D411yescharacteristic
460C4×C22⋊C4D411yescharacteristic
461C4×C22⋊C4D411yescharacteristic
462C4×C22⋊C4D411yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C43C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C25—21no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—28no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—22no—
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—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—22no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—44no—
527C22×D4—44no—
528C22×D4C2×D411yescharacteristic
529C22×D4#4114yes—
530C22×D4C2411yescharacteristic
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×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—44no—
549C23×C4—44no—
550C23×C4—44no—
551C23×C4—44no—
552C23×C4—82no—
553C23×C4—82no—
554C23×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—22no—
579C2×M16—22no—
580C2×M16—22no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592#127—22no—
593#127—22no—
594#127—41no—
595#127—41no—
596#126—82no—
597#123—44no—
598#123—82no—
599#121—28no—
600#121—22no—
601#121—22no—
602#121—22no—
603#121—22no—
604#121—22no—
605#121—22no—
606#121—22no—
607#121—22no—
608#121—41no—
609#121—44no—
610#121—41no—
611#121—41no—
612#121—82no—
613#121—82no—
614#121#4114yes—
615#120—28no—
616#120—28no—
617C4×D4—22no—
618C4×D4—22no—
619C4×D4—22no—
620C4×D4—22no—
621C4×D4—22no—
622C4×D4—22no—
623C4×D4—24no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—42no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—44no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—44no—
645C4×D4—44no—
646C4×D4—44no—
647C4×D4—44no—
648C4×D4—44no—
649C4×D4—44no—
650C4×D4—44no—
651C4×D4—44no—
652C4×D4—44no—
653C4×D4—44no—
654C4×D4—82no—
655C4×D4—82no—
656#117—22no—
657#117—41no—
658#117—41no—
659#117—41no—
660#117—82no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—44no—
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—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—44no—
740C2×C22⋊C4—44no—
741C2×C22⋊C4—44no—
742C2×C22⋊C4—44no—
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—41no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42—41no—
760C2×C42—44no—
761C2×C42C2×D411yescharacteristic
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2×D411yescharacteristic
765C2×C42C2×D411yescharacteristic
766C2×C42C2×D411yescharacteristic
767C2×C42C2×D411yescharacteristic
768C2×C42C2×D411yescharacteristic
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774#107—22no—
775#107—22no—
776#107—41no—
777#107—41no—
778#106—22no—
779#106—22no—
780#106—22no—
781#106—41no—
782#106—41no—
783#106—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102#4114yes—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820#97—41no—
821#97—41no—
822C4×C8—22no—
823C4×C8—41no—
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#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849C24—21no—
850C24—24no—
851C24—21no—
852C24—21no—
853C24—24no—
854C24—21no—
855C24—21no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870C2×D4—22no—
871C2×D4—22no—
872C2×D4—28no—
873C2×D4—24no—
874C2×D4—24no—
875C2×D4—24no—
876C2×D4—24no—
877C2×D4—24no—
878C2×D4—24no—
879C2×D4—22no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—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—44no—
906C2×D4—44no—
907C2×D4—44no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—44no—
916C2×D4—44no—
917C2×D4—432no—
918C2×D4—44no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4C2×#4112yes—
944C2×D4C2×#4112yes—
945C2×D4C2×#4112yes—
946C2×D4C2×#4112yes—
947C2×D4H(5,𝔽2)12yes—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—24no—
953C22×C4—24no—
954C22×C4—22no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—22no—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—816no—
1021C22×C4—816no—
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C2×#4112yes—
1035C22×C4C2×#4112yes—
1036C22×C4C2511yescharacteristic
1037D8—44no—
1038D8—44no—
1039D8—44no—
1040D8—82no—
1041D8—82no—
1042D8—82no—
1043M16—44no—
1044M16—82no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8C2×#4112yes—
1069C4⋊C4—22no—
1070C4⋊C4—22no—
1071C4⋊C4—22no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4C2×#4112yes—
1108C4⋊C4C2×#4112yes—
1109C4⋊C4H(5,𝔽2)12yes—
1110C22⋊C4—24no—
1111C22⋊C4—24no—
1112C22⋊C4—24no—
1113C22⋊C4—22no—
1114C22⋊C4—24no—
1115C22⋊C4—22no—
1116C22⋊C4—22no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4AGL(1,ℤ/8)14yes—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—41no—
1173C42—41no—
1174C42—41no—
1175C42—41no—
1176C42—41no—
1177C42—42no—
1178C42—42no—
1179C42—42no—
1180C42—42no—
1181C42—81no—
1182C42—81no—
1183C42—81no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—22no—
1188C23—21no—
1189C23—22no—
1190C23—21no—
1191C23—22no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—22no—
1201C23—48no—
1202C23—48no—
1203C23—48no—
1204C23—48no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—84no—
1236C23—84no—
1237C23—84no—
1238C23—84no—
1239C23—84no—
1240C23—84no—
1241C23—84no—
1242C23—84no—
1243C23—84no—
1244C23—84no—
1245C23#52512yes—
1246C23C2×AGL(1,ℤ/8)12yes—
1247C23C23×D411yescharacteristic
1248D4—28no—
1249D4—22no—
1250D4—22no—
1251D4—22no—
1252D4—22no—
1253D4—22no—
1254D4—22no—
1255D4—22no—
1256D4—48no—
1257D4—48no—
1258D4—48no—
1259D4—48no—
1260D4—48no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—84no—
1274D4—84no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279D4—162no—
1280D4#55314yes—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—22no—
1302C2×C4—21no—
1303C2×C4—22no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—48no—
1322C2×C4—48no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
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—84no—
1358C2×C4—84no—
1359C2×C4—84no—
1360C2×C4—84no—
1361C2×C4—84no—
1362C2×C4—84no—
1363C2×C4—82no—
1364C2×C4—82no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4#52512yes—
1371C2×C4C2×AGL(1,ℤ/8)12yes—
1372C2×C4C2×AGL(1,ℤ/8)12yes—
1373C2×C4#57512yes—
1374C2×C4#57612yes—
1375C2×C4C22×#4111yescharacteristic
1376C2×C4C22×#4111yescharacteristic
1377C2×C4C22×#4111yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4#58511yescharacteristic
1381C8—22no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C22—22no—
1390C22—22no—
1391C22—24no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—41no—
1397C22—41no—
1398C22—42no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—41no—
1404C22—41no—
1405C22—42no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—816no—
1417C22—816no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22C2×#52511yescharacteristic
1441C22D4×#4111yescharacteristic
1442C22#348411yescharacteristic
1443C22C22×AGL(1,ℤ/8)11yescharacteristic
1444C22C2×#57511yescharacteristic
1445C22C2×#57611yescharacteristic
1446C22#358511yescharacteristic
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—41no—
1453C4—42no—
1454C4—41no—
1455C4—42no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—42no—
1461C4—41no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4C2×#55311yescharacteristic
1471C4#348111yescharacteristic
1472C4#350511yescharacteristic
1473C4#351311yescharacteristic
1474C2—42no—
1475C2—42no—
1476C2—44no—
1477C2—82no—
1478C2—82no—
1479C2—161no—
1480C2—161no—
1481C2#3622111yescharacteristic
1482C2#6055811yescharacteristic
1483C2#6059011yescharacteristic
1484C2#6144911yescharacteristic
1485C2#6145111yescharacteristic
1486C2#6159011yescharacteristic
1487C2#6159111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36369C2semidirect
2. C4×D42C2semidirect
3. #33080C2semidirect
4. #33002C2semidirect
5. #32902C2semidirect
6. #29493C2semidirect
7. #29476C2semidirect
8. #29412C2semidirect
9. #29365C2semidirect
10. #29239C2semidirect
11. #28578C2semidirect
12. #27520C2semidirect
13. #27317C2semidirect
14. #27096C2semidirect
15. #26926C2semidirect
16. #26771C2semidirect
17. #26601C2semidirect
18. #26214C2semidirect
19. #26174C2semidirect
20. #26142C2semidirect
21. #25148C2semidirect
22. #24440C2semidirect
23. #24440C2semidirect
24. #23143C2semidirect
25. #23039C2semidirect
26. #22880C2semidirect
27. #22868C2semidirect
28. #22786C2semidirect
29. #21452C2semidirect
30. #21118C2semidirect
31. #20873C2semidirect
36. C2×#480C22semidirect
40. C2×#459C22semidirect
46. C2×#442C22semidirect
48. C2×#428C22semidirect
51. #2860C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
57. #2507C22semidirect
58. #2497C22semidirect
62. #2445C22semidirect
63. #2428C22semidirect
69. #2363C22semidirect
70. #2363C22semidirect
85. C4×#121C22semidirect
88. #2296C22semidirect
89. #2293C22semidirect
92. #2100C22semidirect
93. #2094C22semidirect
94. #2088C22semidirect
95. #2086C22semidirect
96. #2084C22semidirect
97. #2083C22semidirect
98. #2077C22semidirect
99. #2077C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
102. #2067C22semidirect
103. #2065C22semidirect
106. #2041C22semidirect
109. #2033C22semidirect
110. #2033C22semidirect
113. #2011C22semidirect
116. #1972C22semidirect
117. #1970C22semidirect
118. #1970C22semidirect
119. #1944C22semidirect
120. #1936C22semidirect
121. #1936C22semidirect
122. #1934C22semidirect
123. #1934C22semidirect
124. #1926C22semidirect
125. #1926C22semidirect
126. #1926C22semidirect
127. #1926C22semidirect
128. #1926C22semidirect
129. #1926C22semidirect
130. #1925C22semidirect
131. #1925C22semidirect
132. #1923C22semidirect
133. #1923C22semidirect
134. #1921C22semidirect
135. #1921C22semidirect
136. #1921C22semidirect
137. #1920C22semidirect
138. #1920C22semidirect
139. #1919C22semidirect
140. #1917C22semidirect
141. #1917C22semidirect
142. #1895C22semidirect
143. #1895C22semidirect
150. #1879C22semidirect
151. #1879C22semidirect
152. #1879C22semidirect
153. #1879C22semidirect
154. #1879C22semidirect
155. #1879C22semidirect
156. #1879C22semidirect
157. #1879C22semidirect
160. #1874C22semidirect
161. #1874C22semidirect
162. #1874C22semidirect
170. #1864C22semidirect
171. #1864C22semidirect
172. #1864C22semidirect
173. #1864C22semidirect
177. #1862C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1854C22semidirect
182. #1854C22semidirect
183. #1853C22semidirect
184. #1839C22semidirect
185. #1823C22semidirect
186. #1817C22semidirect
188. #1802C22semidirect
189. #1797C22semidirect
192. C4×#106C22semidirect
194. #1762C22semidirect
196. C4×#102C22semidirect
197. #1753C22semidirect
198. #1753C22semidirect
199. #1749C22semidirect
200. #1744C22semidirect
201. #1736C22semidirect
202. #1728C22semidirect

Maximal subgroups

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

subgroupindex
#363692
C4×D422
#330802
#330022
#329022
#294932
#294762
#294122
#293652
#292392
#285782
#275202
#273172
#270962
#269262
#267712
#266012
#262142
#261742
#261422
#251482
#244402
#231432
#230392
#228802
#228682
#227862
#214522
#211182
#208732