Finite Group Databasebeta

← #7624150

Subgroups — #7624150

Order 512.

1622 conjugacy classes of subgroups.

The subgroup lattice has 1415 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62266C211yesmaximal, characteristic, complemented
2#61049C211yesmaximal, characteristic, complemented
3#33892C211yesmaximal, characteristic, complemented
4#33889C211yesmaximal, characteristic, complemented
5#33886C211yesmaximal, characteristic, complemented
6#33885C211yesmaximal, characteristic, complemented
7#33877C211yesmaximal, characteristic, complemented
8#33873C211yesmaximal, characteristic, complemented
9#33863C211yesmaximal, characteristic, complemented
10#33861C211yesmaximal, characteristic, complemented
11#33846C211yesmaximal, characteristic, complemented
12D4×D16C211yesmaximal, characteristic, complemented
13#33840C211yesmaximal, characteristic, complemented
14#33839C211yesmaximal, characteristic, complemented
15#33834C211yesmaximal, characteristic, complemented
16#33830C211yesmaximal, characteristic, complemented
17#33830C211yesmaximal, characteristic, complemented
18#33830C211yesmaximal, characteristic, complemented
19#33790C211yesmaximal, characteristic, complemented
20#33786C211yesmaximal, characteristic, complemented
21#33765C211yesmaximal, characteristic, complemented
22#33764C211yesmaximal, characteristic, complemented
23#33760C211yesmaximal, characteristic, complemented
24#33757C211yesmaximal, characteristic, complemented
25#33682C211yesmaximal, characteristic, complemented
26#33678C211yesmaximal, characteristic, complemented
27#33526C211yesmaximal, characteristic, complemented
28#33522C211yesmaximal, characteristic, complemented
29#33517C211yesmaximal, characteristic, complemented
30C2×#2184C211yesmaximal, characteristic, complemented
31#33490C211yesmaximal, characteristic, complemented
32C2×#576C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic, complemented
34#3542—21no—
35#3484—21no—
36C2×#509C2211yescharacteristic, complemented
37C2×#509C2211yescharacteristic, complemented
38C2×#509C2211yescharacteristic, complemented
39C2×#509C2211yescharacteristic, complemented
40C2×#508C2211yescharacteristic, complemented
41C22×D16C2211yescharacteristic, complemented
42C22×D16C2211yescharacteristic, complemented
43C22×D16C2211yescharacteristic, complemented
44#3341C2211yescharacteristic, complemented
45#3339C2211yescharacteristic, complemented
46#3336C2211yescharacteristic, complemented
47#3334C2211yescharacteristic, complemented
48#3319—21no—
49#3310—21no—
50#3309—21no—
51#3306—21no—
52#3287C2211yescharacteristic, complemented
53#3280C2211yescharacteristic
54#3280C2211yescharacteristic, complemented
55#3280C2211yescharacteristic, complemented
56#3280C2211yescharacteristic, complemented
57#3280C2211yescharacteristic, complemented
58#3280C2211yescharacteristic, complemented
59D4×D8C2211yescharacteristic
60D4×D8C2211yescharacteristic, complemented
61D4×D8C2211yescharacteristic, complemented
62D4×D8C2211yescharacteristic, complemented
63D4×D8C2211yescharacteristic, complemented
64#3264—21no—
65#3264—21no—
66#3264—21no—
67#3264—21no—
68#3257—21no—
69#3198—21no—
70#3194—21no—
71#3176C2211yescharacteristic, complemented
72#3175C2211yescharacteristic, complemented
73#3155C2211yescharacteristic, complemented
74#3061C2211yescharacteristic, complemented
75#3058C2211yescharacteristic, complemented
76#3058C2211yescharacteristic, complemented
77#3050C2211yescharacteristic, complemented
78#3050C2211yescharacteristic, complemented
79C2×#466C2211yescharacteristic, complemented
80#3041—21no—
81#3008—21no—
82#3003—21no—
83#2948C2211yescharacteristic, complemented
84#2929C2211yescharacteristic
85#2250C2211yescharacteristic, complemented
86#2250C2211yescharacteristic, complemented
87#2249C2211yescharacteristic, complemented
88#2246C2211yescharacteristic, complemented
89#2244C2211yescharacteristic, complemented
90#2243C2211yescharacteristic, complemented
91#2242C2211yescharacteristic, complemented
92#2240C2211yescharacteristic, complemented
93#2237C2211yescharacteristic, complemented
94#2237C2211yescharacteristic, complemented
95#2235C2211yescharacteristic, complemented
96#2234C2211yescharacteristic, complemented
97#2234C2211yescharacteristic, complemented
98#2234C2211yescharacteristic, complemented
99#2234C2211yescharacteristic, complemented
100#2234C2211yescharacteristic, complemented
101#2234C2211yescharacteristic, complemented
102#2233C2211yescharacteristic, complemented
103#2232C2211yescharacteristic, complemented
104#2232C2211yescharacteristic, complemented
105#2228C2211yescharacteristic, complemented
106#2228C2211yescharacteristic, complemented
107#2226C2211yescharacteristic, complemented
108#2224C2211yescharacteristic, complemented
109#2220C2211yescharacteristic, complemented
110#2220C2211yescharacteristic, complemented
111#2220C2211yescharacteristic, complemented
112#2218C2211yescharacteristic, complemented
113#2218C2211yescharacteristic, complemented
114#2218C2211yescharacteristic, complemented
115#2218C2211yescharacteristic, complemented
116#2218C2211yescharacteristic, complemented
117#2217C2211yescharacteristic, complemented
118#2217C2211yescharacteristic, complemented
119#2217C2211yescharacteristic, complemented
120#2216C2211yescharacteristic, complemented
121#2215C2211yescharacteristic, complemented
122#2215C2211yescharacteristic, complemented
123#2215C2211yescharacteristic, complemented
124#2215C2211yescharacteristic, complemented
125#2211C2211yescharacteristic, complemented
126#2210C2211yescharacteristic, complemented
127#2210C2211yescharacteristic, complemented
128#2210C2211yescharacteristic, complemented
129#2210C2211yescharacteristic, complemented
130#2210C2211yescharacteristic, complemented
131#2207C2211yescharacteristic, complemented
132#2206C2211yescharacteristic, complemented
133#2206C2211yescharacteristic, complemented
134#2206C2211yescharacteristic, complemented
135#2206C2211yescharacteristic, complemented
136#2206C2211yescharacteristic, complemented
137#2189C2211yescharacteristic, complemented
138#2189C2211yescharacteristic, complemented
139#2189C2211yescharacteristic, complemented
140#2187C2211yescharacteristic, complemented
141#2187C2211yescharacteristic, complemented
142#2187C2211yescharacteristic, complemented
143#2187C2211yescharacteristic, complemented
144#2187C2211yescharacteristic, complemented
145#2187C2211yescharacteristic, complemented
146#2186C2211yescharacteristic, complemented
147#2186C2211yescharacteristic, complemented
148#2186C2211yescharacteristic, complemented
149#2186C2211yescharacteristic, complemented
150#2186C2211yescharacteristic, complemented
151#2186C2211yescharacteristic, complemented
152#2186C2211yescharacteristic, complemented
153#2186C2211yescharacteristic, complemented
154#2186C2211yescharacteristic, complemented
155#2184C2211yescharacteristic
156#2184C2211yescharacteristic, complemented
157#2184C2211yescharacteristic, complemented
158#2184C2211yescharacteristic, complemented
159#2184C2211yescharacteristic, complemented
160#2184C2211yescharacteristic, complemented
161#2184C2211yescharacteristic, complemented
162#2184C2211yescharacteristic, complemented
163#2184C2211yescharacteristic, complemented
164#2184C2211yescharacteristic, complemented
165#2184C2211yescharacteristic, complemented
166#2184C2211yescharacteristic, complemented
167#2184C2211yescharacteristic, complemented
168#2184C2211yescharacteristic, complemented
169#2184C2211yescharacteristic, complemented
170#2184C2211yescharacteristic, complemented
171#2184C2211yescharacteristic, complemented
172#2184C2211yescharacteristic, complemented
173#2177C2211yescharacteristic, complemented
174#2177C2211yescharacteristic, complemented
175#2177C2211yescharacteristic, complemented
176#2175C2211yescharacteristic, complemented
177C4×SD32C2211yescharacteristic, complemented
178C4×D16C2211yescharacteristic, complemented
179C4×D16C2211yescharacteristic, complemented
180C4×D16C2211yescharacteristic, complemented
181#2169C2211yescharacteristic, complemented
182#2169C2211yescharacteristic, complemented
183#2168C2211yescharacteristic, complemented
184#2168C2211yescharacteristic, complemented
185#2168C2211yescharacteristic, complemented
186#2168C2211yescharacteristic, complemented
187D4×C16C2211yescharacteristic, complemented
188D4×C16C2211yescharacteristic, complemented
189#2164C2211yescharacteristic, complemented
190#2164C2211yescharacteristic, complemented
191#2140C2211yescharacteristic, complemented
192#2140C2211yescharacteristic, complemented
193#2140C2211yescharacteristic, complemented
194#2139C2211yescharacteristic, complemented
195#2138C2211yescharacteristic, complemented
196C2×#357C2211yescharacteristic, complemented
197C2×#357C2211yescharacteristic, complemented
198C2×#357C2211yescharacteristic, complemented
199#2113C2211yescharacteristic, complemented
200#2113C2211yescharacteristic, complemented
201#2112C2211yescharacteristic, complemented
202C2×C22⋊C16C2211yescharacteristic, complemented
203C2×H(5,𝔽2)—21no—
204C23×D4—21no—
205#576—42no—
206#576—42no—
207C2×AGL(1,ℤ/8)—21no—
208C2×AGL(1,ℤ/8)—21no—
209C2×AGL(1,ℤ/8)—21no—
210C2×AGL(1,ℤ/8)—21no—
211C2×#135C2311yescharacteristic
212C2×#135C2311yescharacteristic
213C2×#135C2311yescharacteristic
214C2×#135C2311yescharacteristic
215C2×#135C2311yescharacteristic, complemented
216C22×D8—21no—
217C22×D8—21no—
218C22×D8—21no—
219C22×D8—42no—
220C22×D8—42no—
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic, complemented
231C2×#131C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#562—41no—
234#560—41no—
235#555—21no—
236#553—21no—
237#552—21no—
238#551—41no—
239#550—21no—
240#547—21no—
241#546—21no—
242#546—21no—
243#546—21no—
244#546—21no—
245#546—21no—
246#546—21no—
247#546—41no—
248#546—41no—
249#546—41no—
250D42—21no—
251D42—21no—
252D42—21no—
253D42—21no—
254D42—21no—
255D42—41no—
256D42—41no—
257#542—21no—
258#540—21no—
259#540—41no—
260#538—41no—
261#537—21no—
262#535—21no—
263#535—21no—
264#535—21no—
265#535—41no—
266#534—41no—
267#534—41no—
268#534—41no—
269#525—21no—
270#525—21no—
271#525D411yescharacteristic
272C2×#121—21no—
273C2×#120—41no—
274C2×#120—41no—
275#518—21no—
276#509—42no—
277#509—42no—
278#509—42no—
279#509—42no—
280#508—42no—
281C2×Q32C2311yescharacteristic, complemented
282C2×SD32C2311yescharacteristic
283C2×SD32C2311yescharacteristic
284C2×SD32C2311yescharacteristic
285C2×SD32C2311yescharacteristic
286C2×SD32C2311yescharacteristic, complemented
287C2×SD32C2311yescharacteristic, complemented
288C2×SD32C2311yescharacteristic, complemented
289C2×SD32C2311yescharacteristic, complemented
290C2×D16—42no—
291C2×D16—42no—
292C2×D16—42no—
293C2×D16C2311yescharacteristic
294C2×D16C2311yescharacteristic
295C2×D16C2311yescharacteristic
296C2×D16C2311yescharacteristic
297C2×D16C2311yescharacteristic
298C2×D16C2311yescharacteristic
299C2×D16C2311yescharacteristic
300C2×D16C2311yescharacteristic
301C2×D16C2311yescharacteristic
302C2×D16C2311yescharacteristic
303C2×D16C2311yescharacteristic
304C2×D16C2311yescharacteristic
305C2×D16C2311yescharacteristic, complemented
306C2×D16C2311yescharacteristic, complemented
307C2×D16C2311yescharacteristic, complemented
308C2×M32C2311yescharacteristic
309C2×M32C2311yescharacteristic
310C2×M32C2311yescharacteristic, complemented
311C2×M32C2311yescharacteristic, complemented
312C22×C16C2311yescharacteristic
313C22×C16C2311yescharacteristic
314C22×C16C2311yescharacteristic, complemented
315C22×C16C2311yescharacteristic, complemented
316#500C2311yescharacteristic, complemented
317#499C2311yescharacteristic, complemented
318#496—21no—
319#496—21no—
320#495C2311yescharacteristic
321#495C2311yescharacteristic
322#495C2311yescharacteristic, complemented
323#493C2311yescharacteristic
324#493C2311yescharacteristic
325#493C2311yescharacteristic, complemented
326#490—21no—
327#489—21no—
328#485—21no—
329#483—21no—
330#482—21no—
331#482—21no—
332#482—21no—
333#481—21no—
334#480—21no—
335#480—21no—
336#479—21no—
337#478—21no—
338#476—21no—
339#474—21no—
340#469—21no—
341#469—21no—
342#469—21no—
343#469—21no—
344#469—21no—
345#468—21no—
346#468—21no—
347#468—21no—
348#467C2311yescharacteristic
349#467C2311yescharacteristic
350#467C2311yescharacteristic
351#467C2311yescharacteristic
352#467C2311yescharacteristic, complemented
353#466—21no—
354#466—21no—
355#466C2311yescharacteristic
356#466C2311yescharacteristic
357#466C2311yescharacteristic
358#466C2311yescharacteristic
359#466C2311yescharacteristic
360#466C2311yescharacteristic
361#466C2311yescharacteristic
362#466C2311yescharacteristic
363#466C2311yescharacteristic
364#466C2311yescharacteristic
365#466C2311yescharacteristic
366#466C2311yescharacteristic
367#466C2311yescharacteristic, complemented
368#466C2311yescharacteristic, complemented
369#466C2311yescharacteristic, complemented
370#465—21no—
371#465—21no—
372#465—21no—
373#465—21no—
374#463—21no—
375#463—21no—
376#463—21no—
377#463—21no—
378#463—21no—
379#463—21no—
380#460—21no—
381#459—21no—
382#459—21no—
383#459—21no—
384#459—21no—
385#459—21no—
386#450—21no—
387#450—21no—
388#450—21no—
389#450—21no—
390#450—21no—
391#450—21no—
392#449—21no—
393#449—21no—
394#449—21no—
395#449—21no—
396#449—21no—
397#449—21no—
398#449—21no—
399#449—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404#447—21no—
405#447—21no—
406#447—21no—
407#447—21no—
408#447—21no—
409#447—21no—
410#442—21no—
411#442—21no—
412#442—21no—
413#440—21no—
414C4×Q16C2311yescharacteristic, complemented
415C4×D8C2311yescharacteristic
416C4×D8C2311yescharacteristic
417C4×D8C2311yescharacteristic
418C4×D8C2311yescharacteristic
419C4×D8C2311yescharacteristic, complemented
420C4×D8C2311yescharacteristic, complemented
421C4×D8C2311yescharacteristic, complemented
422#435D411yescharacteristic
423#435D411yescharacteristic
424#435D411yescharacteristic
425#435D411yescharacteristic
426C8×D4C2311yescharacteristic
427C8×D4C2311yescharacteristic
428C8×D4C2311yescharacteristic
429C8×D4C2311yescharacteristic
430#427C2311yescharacteristic
431#427C2311yescharacteristic
432#427C2311yescharacteristic, complemented
433C2×#107C2311yescharacteristic
434C2×#107C2311yescharacteristic, complemented
435#424D411yescharacteristic
436#418—21no—
437#418—21no—
438#418—21no—
439#417—21no—
440#416—21no—
441#416—21no—
442C2×#102—21no—
443#408D411yescharacteristic
444#407D411yescharacteristic
445#405C2311yescharacteristic
446#367C2311yescharacteristic, complemented
447#367C2311yescharacteristic, complemented
448#367C2311yescharacteristic, complemented
449#367C2311yescharacteristic, complemented
450#366C2311yescharacteristic, complemented
451#366C2311yescharacteristic, complemented
452#366C2311yescharacteristic, complemented
453#366C2311yescharacteristic, complemented
454C4⋊C16C2311yescharacteristic, complemented
455C4⋊C16C2311yescharacteristic, complemented
456C4⋊C16C2311yescharacteristic, complemented
457C4⋊C16C2311yescharacteristic, complemented
458#358C2311yescharacteristic, complemented
459#358C2311yescharacteristic, complemented
460#358C2311yescharacteristic, complemented
461#358C2311yescharacteristic, complemented
462#358C2311yescharacteristic, complemented
463#358C2311yescharacteristic, complemented
464#357C2311yescharacteristic
465#357C2311yescharacteristic
466#357C2311yescharacteristic
467#357C2311yescharacteristic
468#357C2311yescharacteristic
469#357C2311yescharacteristic
470#357C2311yescharacteristic
471#357C2311yescharacteristic
472#357C2311yescharacteristic
473#357C2311yescharacteristic
474#357C2311yescharacteristic
475#357C2311yescharacteristic
476#357C2311yescharacteristic
477#357C2311yescharacteristic
478#357C2311yescharacteristic
479#357C2311yescharacteristic
480#357C2311yescharacteristic, complemented
481#357C2311yescharacteristic, complemented
482#357C2311yescharacteristic, complemented
483#357C2311yescharacteristic, complemented
484#357C2311yescharacteristic, complemented
485#357C2311yescharacteristic, complemented
486#357C2311yescharacteristic, complemented
487#357C2311yescharacteristic, complemented
488#357C2311yescharacteristic, complemented
489#357C2311yescharacteristic, complemented
490C22⋊C16C2311yescharacteristic
491C22⋊C16C2311yescharacteristic
492C22⋊C16C2311yescharacteristic
493C22⋊C16C2311yescharacteristic
494C22⋊C16C2311yescharacteristic
495C22⋊C16C2311yescharacteristic
496C22⋊C16C2311yescharacteristic
497C22⋊C16C2311yescharacteristic
498C22⋊C16C2311yescharacteristic, complemented
499C22⋊C16C2311yescharacteristic, complemented
500C22⋊C16C2311yescharacteristic, complemented
501C22⋊C16C2311yescharacteristic, complemented
502#346C2311yescharacteristic, complemented
503#346C2311yescharacteristic, complemented
504C4×C16C2311yescharacteristic, complemented
505C4×C16C2311yescharacteristic, complemented
506C25—41no—
507H(5,𝔽2)—44no—
508H(5,𝔽2)—82no—
509C2×#41—21no—
510C2×#41—21no—
511C2×#41—21no—
512C2×#41—21no—
513C2×#41—21no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41C2×D411yescharacteristic
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—44no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—82no—
541C23×C4C2×D411yescharacteristic
542AGL(1,ℤ/8)—44no—
543AGL(1,ℤ/8)—44no—
544AGL(1,ℤ/8)—44no—
545AGL(1,ℤ/8)—82no—
546#135—22no—
547#135—22no—
548#135—41no—
549#135—41no—
550#135—41no—
551#135—41no—
552#135—41no—
553#135—41no—
554#135—41no—
555#135—41no—
556C2×Q16C2411yescharacteristic
557C2×Q16C2411yescharacteristic
558C2×SD16—21no—
559C2×SD16—21no—
560C2×SD16—21no—
561C2×SD16—21no—
562C2×SD16—21no—
563C2×SD16—21no—
564C2×SD16—21no—
565C2×SD16—21no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—21no—
575C2×D8—21no—
576C2×D8—21no—
577C2×D8—21no—
578C2×D8—21no—
579C2×D8—21no—
580C2×D8—21no—
581C2×D8—21no—
582C2×D8—21no—
583C2×D8—21no—
584C2×D8—21no—
585C2×D8—21no—
586C2×D8—21no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—44no—
600C2×D8—44no—
601C2×D8—44no—
602C2×D8C2411yescharacteristic
603C2×D8C2411yescharacteristic
604C2×D8C2411yescharacteristic
605C2×D8C2411yescharacteristic
606C2×D8C2411yescharacteristic
607C2×D8C2411yescharacteristic
608C2×D8C2411yescharacteristic
609C2×D8C2411yescharacteristic
610#131—41no—
611#131—41no—
612C2×M16C2×D411yescharacteristic
613C2×M16C2×D411yescharacteristic
614C2×M16C2×D411yescharacteristic
615C2×M16C2×D411yescharacteristic
616C22×C8—41no—
617C22×C8—41no—
618C22×C8C2×D411yescharacteristic
619C22×C8C2×D411yescharacteristic
620C22×C8C2×D411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C4⋊Q8—21no—
627#127—21no—
628#127—21no—
629#127—21no—
630#127—41no—
631#127—41no—
632#127—41no—
633#126—41no—
634#126—41no—
635#126—41no—
636#125—21no—
637#125—41no—
638#124—21no—
639#124—21no—
640#124—21no—
641#124—41no—
642#124—41no—
643#124—41no—
644#124—41no—
645#124—41no—
646#123—41no—
647#123—41no—
648#123—41no—
649#123—41no—
650#123—41no—
651#123—41no—
652#123—41no—
653#123—41no—
654#123—41no—
655#123—41no—
656#123—41no—
657#123—41no—
658#123—41no—
659#123—41no—
660#123—41no—
661#123D811yescharacteristic
662#123D811yescharacteristic
663C22⋊Q8—21no—
664C22⋊Q8—21no—
665C22⋊Q8—21no—
666C22⋊Q8—21no—
667C22⋊Q8—21no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8D811yescharacteristic
672C22⋊Q8D811yescharacteristic
673#121—21no—
674#121—21no—
675#121—21no—
676#121—21no—
677#121—21no—
678#121—21no—
679#121—21no—
680#121—21no—
681#121—21no—
682#121—21no—
683#121—21no—
684#121—21no—
685#121—21no—
686#121—21no—
687#121—21no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121D811yescharacteristic
713#121D811yescharacteristic
714#120—41no—
715#120—41no—
716#120—41no—
717#120—41no—
718#120—41no—
719#120—41no—
720#120—41no—
721#120—41no—
722#120—41no—
723#120—41no—
724#120—41no—
725#120—41no—
726#120—41no—
727#120—41no—
728#120—41no—
729#120—41no—
730#120—41no—
731#120—41no—
732#120—41no—
733#120—41no—
734#120—41no—
735#120—41no—
736#120—41no—
737#120—41no—
738#120D811yescharacteristic
739#120D811yescharacteristic
740C4×Q8—21no—
741C4×D4—21no—
742C4×D4—21no—
743C4×D4—21no—
744C4×D4—21no—
745C4×D4—21no—
746C4×D4—21no—
747C4×D4—21no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4C2×D411yescharacteristic
757C4×D4C2×D411yescharacteristic
758C4×D4C2×D411yescharacteristic
759C4×D4C2×D411yescharacteristic
760#117—21no—
761#117—21no—
762#117—21no—
763#117—41no—
764#117—41no—
765#117C2×D411yescharacteristic
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777Q32—41no—
778SD32—22no—
779SD32—22no—
780SD32—41no—
781SD32—41no—
782SD32—41no—
783SD32—41no—
784SD32—41no—
785SD32—41no—
786D16—22no—
787D16—22no—
788D16—22no—
789D16—22no—
790D16—22no—
791D16—22no—
792D16—41no—
793D16—41no—
794D16—41no—
795D16—41no—
796D16—41no—
797D16—41no—
798D16—41no—
799D16—41no—
800D16—41no—
801M32—41no—
802M32—41no—
803M32—41no—
804M32—41no—
805C2×C16—41no—
806C2×C16—41no—
807C2×C16—41no—
808C2×C16—41no—
809C2×C16C2411yescharacteristic
810C2×C16C2411yescharacteristic
811C2×C16C2411yescharacteristic
812C2×C16C2411yescharacteristic
813C2×C16C2411yescharacteristic
814C2×C16C2411yescharacteristic
815C2×C16C2411yescharacteristic
816C2×C16C2411yescharacteristic
817#107—21no—
818#107—21no—
819#107—21no—
820#107C2411yescharacteristic
821#107C2411yescharacteristic
822#107C2411yescharacteristic
823#107C2411yescharacteristic
824#107C2411yescharacteristic
825#107C2411yescharacteristic
826#106—21no—
827#106—21no—
828#106—21no—
829#106—21no—
830C4⋊C8C2×D411yescharacteristic
831C4⋊C8C2×D411yescharacteristic
832C4⋊C8C2×D411yescharacteristic
833C4⋊C8C2×D411yescharacteristic
834#103—21no—
835#103—21no—
836#103—21no—
837#103—21no—
838#103—21no—
839#103—21no—
840#102—21no—
841#102—21no—
842#102—21no—
843#102—21no—
844#102—21no—
845#102—21no—
846#102—21no—
847#102—21no—
848#102—21no—
849#102—21no—
850#102—21no—
851#102—21no—
852#102—21no—
853#102—21no—
854#102—21no—
855#102—21no—
856#102—21no—
857#102—21no—
858#102—21no—
859#102—21no—
860#102—21no—
861#102—21no—
862C22⋊C8C2×D411yescharacteristic
863C22⋊C8C2×D411yescharacteristic
864C22⋊C8C2×D411yescharacteristic
865C22⋊C8C2×D411yescharacteristic
866C22⋊C8C2×D411yescharacteristic
867C22⋊C8C2×D411yescharacteristic
868C22⋊C8C2×D411yescharacteristic
869C22⋊C8C2×D411yescharacteristic
870#97C2×D411yescharacteristic
871#97C2×D411yescharacteristic
872C4×C8C2411yescharacteristic
873C4×C8C2411yescharacteristic
874C24—41no—
875C24—41no—
876C24—41no—
877C24—41no—
878C24—41no—
879C24—41no—
880C24—41no—
881C24—41no—
882C24—41no—
883C24—41no—
884C24—84no—
885C24—162no—
886C24—162no—
887C24C2×D811yescharacteristic
888#41—41no—
889#41—41no—
890#41—42no—
891#41—42no—
892#41—42no—
893#41—42no—
894#41—81no—
895#41—81no—
896#41—81no—
897#41—81no—
898#41—81no—
899#41—81no—
900#41—84no—
901#41—162no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—41no—
905C2×Q8C2×D811yescharacteristic
906C2×D4—24no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
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—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—84no—
971C2×D4—84no—
972C2×D4—84no—
973C2×D4—84no—
974C2×D4—84no—
975C2×D4—84no—
976C2×D4—162no—
977C2×D4—162no—
978C2×D4—162no—
979C2×D4—162no—
980C2×D4—162no—
981C2×D4—162no—
982C2×D4C2×D811yescharacteristic
983C2×D4C2×D811yescharacteristic
984C2×D4C2×D811yescharacteristic
985C2×D4C2×D811yescharacteristic
986C2×D4C2×D811yescharacteristic
987C2×D4C2×D811yescharacteristic
988C2×D4C2×D811yescharacteristic
989C22×C4—41no—
990C22×C4—41no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4C2×D811yescharacteristic
1006C22×C4C2×D811yescharacteristic
1007C22×C4C2×D811yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013Q16—21no—
1014Q16—21no—
1015Q16—21no—
1016Q16—21no—
1017SD16—42no—
1018SD16—42no—
1019SD16—42no—
1020SD16—81no—
1021SD16—81no—
1022SD16—81no—
1023SD16—81no—
1024SD16—81no—
1025D8—24no—
1026D8—21no—
1027D8—21no—
1028D8—21no—
1029D8—21no—
1030D8—21no—
1031D8—21no—
1032D8—21no—
1033D8—21no—
1034D8—21no—
1035D8—21no—
1036D8—21no—
1037D8—21no—
1038D8—21no—
1039D8—21no—
1040D8—42no—
1041D8—42no—
1042D8—42no—
1043D8—42no—
1044D8—42no—
1045D8—42no—
1046D8—42no—
1047D8—81no—
1048D8—81no—
1049D8—81no—
1050D8—81no—
1051D8—81no—
1052D8H(5,𝔽2)12yes—
1053D8H(5,𝔽2)12yes—
1054M16—41no—
1055M16—41no—
1056M16—41no—
1057M16—41no—
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×C8—41no—
1069C2×C8—41no—
1070C2×C8—41no—
1071C2×C8C22×D411yescharacteristic
1072C2×C8C22×D411yescharacteristic
1073C2×C8C22×D411yescharacteristic
1074C2×C8C22×D411yescharacteristic
1075C2×C8C22×D411yescharacteristic
1076C2×C8C22×D411yescharacteristic
1077C2×C8C22×D411yescharacteristic
1078C2×C8C2511yescharacteristic
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—41no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4C2×D811yescharacteristic
1097C4⋊C4C2×D811yescharacteristic
1098C4⋊C4C2×D811yescharacteristic
1099C4⋊C4C2×D811yescharacteristic
1100C4⋊C4C2×D811yescharacteristic
1101C4⋊C4C2×D811yescharacteristic
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4C2×D811yescharacteristic
1139C22⋊C4C2×D811yescharacteristic
1140C22⋊C4C2×D811yescharacteristic
1141C22⋊C4C2×D811yescharacteristic
1142C22⋊C4C2×D811yescharacteristic
1143C22⋊C4C2×D811yescharacteristic
1144C22⋊C4C2×D811yescharacteristic
1145C22⋊C4C2×D811yescharacteristic
1146C22⋊C4C2×D811yescharacteristic
1147C22⋊C4C2×D811yescharacteristic
1148C42—41no—
1149C42—41no—
1150C42—41no—
1151C42—41no—
1152C42C22×D411yescharacteristic
1153C42C22×D411yescharacteristic
1154C16—21no—
1155C16—21no—
1156C16—21no—
1157C16—21no—
1158C16—21no—
1159C16—21no—
1160C16—21no—
1161C16—21no—
1162C23—22no—
1163C23—41no—
1164C23—41no—
1165C23—44no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—82no—
1175C23—82no—
1176C23—82no—
1177C23—82no—
1178C23—82no—
1179C23—82no—
1180C23—82no—
1181C23—82no—
1182C23—82no—
1183C23—82no—
1184C23—82no—
1185C23—82no—
1186C23—161no—
1187C23—161no—
1188C23—161no—
1189C23—161no—
1190C23—161no—
1191C23—161no—
1192C23—161no—
1193C23—161no—
1194C23—161no—
1195C23—161no—
1196C23—161no—
1197C23—161no—
1198C23—161no—
1199C23—161no—
1200C23—161no—
1201C23—161no—
1202C23—161no—
1203C23—1616no—
1204C23C22×D811yescharacteristic
1205C23C22×D811yescharacteristic
1206C23C22×D811yescharacteristic
1207C23C22×D811yescharacteristic
1208C23C22×D811yescharacteristic
1209Q8—41no—
1210Q8—41no—
1211Q8—41no—
1212Q8—41no—
1213Q8—41no—
1214Q8—161no—
1215D4—22no—
1216D4—22no—
1217D4—22no—
1218D4—22no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—44no—
1225D4—41no—
1226D4—41no—
1227D4—41no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—82no—
1240D4—82no—
1241D4—82no—
1242D4—82no—
1243D4—82no—
1244D4—82no—
1245D4—82no—
1246D4—82no—
1247D4—82no—
1248D4—82no—
1249D4—82no—
1250D4—82no—
1251D4—82no—
1252D4—161no—
1253D4—161no—
1254D4—161no—
1255D4—161no—
1256D4—161no—
1257D4—161no—
1258D4—161no—
1259D4—161no—
1260D4—161no—
1261D4—161no—
1262D4—161no—
1263D4—161no—
1264D4—161no—
1265D4—161no—
1266D4—161no—
1267D4—161no—
1268D4—161no—
1269D4—161no—
1270D4—161no—
1271D4—161no—
1272D4—161no—
1273D4—161no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—82no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4—82no—
1299C2×C4—161no—
1300C2×C4—161no—
1301C2×C4—161no—
1302C2×C4—161no—
1303C2×C4—161no—
1304C2×C4—161no—
1305C2×C4—161no—
1306C2×C4—161no—
1307C2×C4—161no—
1308C2×C4—161no—
1309C2×C4C22×D811yescharacteristic
1310C2×C4C22×D811yescharacteristic
1311C2×C4C22×D811yescharacteristic
1312C2×C4C22×D811yescharacteristic
1313C2×C4C22×D811yescharacteristic
1314C2×C4C22×D811yescharacteristic
1315C2×C4C22×D811yescharacteristic
1316C2×C4C22×D811yescharacteristic
1317C2×C4C22×D811yescharacteristic
1318C2×C4C23×D411yescharacteristic
1319C8—21no—
1320C8—21no—
1321C8—21no—
1322C8—21no—
1323C8—21no—
1324C8—21no—
1325C8—21no—
1326C8C2×H(5,𝔽2)11yescharacteristic
1327C8C2×H(5,𝔽2)11yescharacteristic
1328C22—21no—
1329C22—21no—
1330C22—21no—
1331C22—21no—
1332C22—21no—
1333C22—21no—
1334C22—21no—
1335C22—21no—
1336C22—21no—
1337C22—21no—
1338C22—21no—
1339C22—21no—
1340C22—21no—
1341C22—21no—
1342C22—44no—
1343C22—42no—
1344C22—42no—
1345C22—81no—
1346C22—81no—
1347C22—81no—
1348C22—81no—
1349C22—81no—
1350C22—81no—
1351C22—81no—
1352C22—81no—
1353C22—81no—
1354C22—81no—
1355C22—81no—
1356C22—81no—
1357C22—81no—
1358C22—81no—
1359C22—81no—
1360C22—81no—
1361C22—81no—
1362C22—81no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—164no—
1368C22—164no—
1369C22—164no—
1370C22—164no—
1371C22—164no—
1372C22—164no—
1373C22—322no—
1374C22—322no—
1375C22—322no—
1376C22—322no—
1377C22#341512yes—
1378C22C23×D811yescharacteristic
1379C4—21no—
1380C4—21no—
1381C4—21no—
1382C4—21no—
1383C4—21no—
1384C4—21no—
1385C4—21no—
1386C4—21no—
1387C4—21no—
1388C4—81no—
1389C4—81no—
1390C4—81no—
1391C4—81no—
1392C4—81no—
1393C4—81no—
1394C4—81no—
1395C4—81no—
1396C4#348411yescharacteristic
1397C4#358511yescharacteristic
1398C2—22no—
1399C2—41no—
1400C2—41no—
1401C2—41no—
1402C2—41no—
1403C2—82no—
1404C2—82no—
1405C2—161no—
1406C2—161no—
1407C2—161no—
1408C2—161no—
1409C2—161no—
1410C2—161no—
1411C2#6155911yescharacteristic
1412C2C2×#341511yescharacteristic
1413C2#6263611yescharacteristic
subgroupG/H
center, socleC22C23×D8
commutator, Frattini, cosocleC2×C8C25
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #525 ◁ #2929 ◁ G
LECSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62266C2semidirect
2. #61049C2semidirect
3. #33892C2semidirect
4. #33889C2semidirect
5. #33886C2semidirect
6. #33885C2semidirect
7. #33877C2semidirect
8. #33873C2semidirect
9. #33863C2semidirect
10. #33861C2semidirect
11. #33846C2semidirect
12. D4×D16C2semidirect
13. #33840C2semidirect
14. #33839C2semidirect
15. #33834C2semidirect
16. #33830C2semidirect
17. #33830C2semidirect
18. #33830C2semidirect
19. #33790C2semidirect
20. #33786C2semidirect
21. #33765C2semidirect
22. #33764C2semidirect
23. #33760C2semidirect
24. #33757C2semidirect
25. #33682C2semidirect
26. #33678C2semidirect
27. #33526C2semidirect
28. #33522C2semidirect
29. #33517C2semidirect
30. C2×#2184C2semidirect
31. #33490C2semidirect
32. C2×#576C22semidirect
33. C23×D8C22semidirect
36. C2×#509C22semidirect
37. C2×#509C22semidirect
38. C2×#509C22semidirect
39. C2×#509C22semidirect
40. C2×#508C22semidirect
41. C22×D16C22semidirect
42. C22×D16C22semidirect
43. C22×D16C22semidirect
44. #3341C22semidirect
45. #3339C22semidirect
46. #3336C22semidirect
47. #3334C22semidirect
52. #3287C22semidirect
54. #3280C22semidirect
55. #3280C22semidirect
56. #3280C22semidirect
57. #3280C22semidirect
58. #3280C22semidirect
60. D4×D8C22semidirect
61. D4×D8C22semidirect
62. D4×D8C22semidirect
63. D4×D8C22semidirect
71. #3176C22semidirect
72. #3175C22semidirect
73. #3155C22semidirect
74. #3061C22semidirect
75. #3058C22semidirect
76. #3058C22semidirect
77. #3050C22semidirect
78. #3050C22semidirect
79. C2×#466C22semidirect
83. #2948C22semidirect
85. #2250C22semidirect
86. #2250C22semidirect
87. #2249C22semidirect
88. #2246C22semidirect
89. #2244C22semidirect
90. #2243C22semidirect
91. #2242C22semidirect
92. #2240C22semidirect
93. #2237C22semidirect
94. #2237C22semidirect
95. #2235C22semidirect
96. #2234C22semidirect
97. #2234C22semidirect
98. #2234C22semidirect
99. #2234C22semidirect
100. #2234C22semidirect
101. #2234C22semidirect
102. #2233C22semidirect
103. #2232C22semidirect
104. #2232C22semidirect
105. #2228C22semidirect
106. #2228C22semidirect
107. #2226C22semidirect
108. #2224C22semidirect
109. #2220C22semidirect
110. #2220C22semidirect
111. #2220C22semidirect
112. #2218C22semidirect
113. #2218C22semidirect
114. #2218C22semidirect
115. #2218C22semidirect
116. #2218C22semidirect
117. #2217C22semidirect
118. #2217C22semidirect
119. #2217C22semidirect
120. #2216C22semidirect
121. #2215C22semidirect
122. #2215C22semidirect
123. #2215C22semidirect
124. #2215C22semidirect
125. #2211C22semidirect
126. #2210C22semidirect
127. #2210C22semidirect
128. #2210C22semidirect
129. #2210C22semidirect
130. #2210C22semidirect
131. #2207C22semidirect
132. #2206C22semidirect
133. #2206C22semidirect
134. #2206C22semidirect
135. #2206C22semidirect
136. #2206C22semidirect
137. #2189C22semidirect
138. #2189C22semidirect
139. #2189C22semidirect
140. #2187C22semidirect
141. #2187C22semidirect
142. #2187C22semidirect
143. #2187C22semidirect
144. #2187C22semidirect
145. #2187C22semidirect
146. #2186C22semidirect
147. #2186C22semidirect
148. #2186C22semidirect
149. #2186C22semidirect
150. #2186C22semidirect
151. #2186C22semidirect
152. #2186C22semidirect
153. #2186C22semidirect
154. #2186C22semidirect
156. #2184C22semidirect
157. #2184C22semidirect
158. #2184C22semidirect
159. #2184C22semidirect
160. #2184C22semidirect
161. #2184C22semidirect
162. #2184C22semidirect
163. #2184C22semidirect
164. #2184C22semidirect
165. #2184C22semidirect
166. #2184C22semidirect
167. #2184C22semidirect
168. #2184C22semidirect
169. #2184C22semidirect
170. #2184C22semidirect
171. #2184C22semidirect
172. #2184C22semidirect
173. #2177C22semidirect
174. #2177C22semidirect
175. #2177C22semidirect
176. #2175C22semidirect
177. C4×SD32C22semidirect
178. C4×D16C22semidirect
179. C4×D16C22semidirect
180. C4×D16C22semidirect
181. #2169C22semidirect
182. #2169C22semidirect
183. #2168C22semidirect
184. #2168C22semidirect
185. #2168C22semidirect
186. #2168C22semidirect
187. D4×C16C22semidirect
188. D4×C16C22semidirect
189. #2164C22semidirect
190. #2164C22semidirect
191. #2140C22semidirect
192. #2140C22semidirect
193. #2140C22semidirect
194. #2139C22semidirect
195. #2138C22semidirect
196. C2×#357C22semidirect
197. C2×#357C22semidirect
198. C2×#357C22semidirect
199. #2113C22semidirect
200. #2113C22semidirect
201. #2112C22semidirect
202. C2×C22⋊C16C22semidirect
215. C2×#135C23semidirect
230. C22×D8C23semidirect
281. C2×Q32C23semidirect
286. C2×SD32C23semidirect
287. C2×SD32C23semidirect
288. C2×SD32C23semidirect
289. C2×SD32C23semidirect
305. C2×D16C23semidirect
306. C2×D16C23semidirect
307. C2×D16C23semidirect
310. C2×M32C23semidirect
311. C2×M32C23semidirect
314. C22×C16C23semidirect
315. C22×C16C23semidirect
316. #500C23semidirect
317. #499C23semidirect
322. #495C23semidirect
325. #493C23semidirect
352. #467C23semidirect
367. #466C23semidirect
368. #466C23semidirect
369. #466C23semidirect
414. C4×Q16C23semidirect
419. C4×D8C23semidirect
420. C4×D8C23semidirect
421. C4×D8C23semidirect
432. #427C23semidirect
434. C2×#107C23semidirect
446. #367C23semidirect
447. #367C23semidirect
448. #367C23semidirect
449. #367C23semidirect
450. #366C23semidirect
451. #366C23semidirect
452. #366C23semidirect
453. #366C23semidirect
454. C4⋊C16C23semidirect
455. C4⋊C16C23semidirect
456. C4⋊C16C23semidirect
457. C4⋊C16C23semidirect
458. #358C23semidirect
459. #358C23semidirect
460. #358C23semidirect
461. #358C23semidirect
462. #358C23semidirect
463. #358C23semidirect
480. #357C23semidirect
481. #357C23semidirect
482. #357C23semidirect
483. #357C23semidirect
484. #357C23semidirect
485. #357C23semidirect
486. #357C23semidirect
487. #357C23semidirect
488. #357C23semidirect
489. #357C23semidirect
498. C22⋊C16C23semidirect
499. C22⋊C16C23semidirect
500. C22⋊C16C23semidirect
501. C22⋊C16C23semidirect
502. #346C23semidirect
503. #346C23semidirect
504. C4×C16C23semidirect
505. C4×C16C23semidirect

Maximal subgroups

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

subgroupindex
#622662
#610492
#338922
#338892
#338862
#338852
#338772
#338732
#338632
#338612
#338462
D4×D162
#338402
#338392
#338342
#338302
#337902
#337862
#337652
#337642
#337602
#337572
#336822
#336782
#335262
#335222
#335172
C2×#21842
#334902