Finite Group Databasebeta

← #72318879

Subgroups — #72318879

Order 2048.

At least 20760 conjugacy classes of subgroups; only the 4464 normal subgroups are shown.

The subgroup lattice has 1728 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72318861C211yesmaximal, characteristic, complemented
2#72318859C211yesmaximal, characteristic, complemented
3#72318477C211yesmaximal, characteristic, complemented
4#72318383C212yesmaximal, complemented
5#72318358C212yesmaximal, complemented
6#72318235C212yesmaximal, complemented
7#72318220C212yesmaximal, complemented
8#72318133C211yesmaximal, characteristic, complemented
9#72318073C211yesmaximal, characteristic, complemented
10#72317998C214yesmaximal, complemented
11#72317809C214yesmaximal, complemented
12#72317592C214yesmaximal, complemented
13#72312526C214yesmaximal, complemented
14#72312509C214yesmaximal, complemented
15#72311872C212yesmaximal, complemented
16#72311471C212yesmaximal, complemented
17#72306397C211yesmaximal, characteristic, complemented
18#72286068C214yesmaximal, complemented
19#72286067C211yesmaximal, characteristic, complemented
20#72285829C214yesmaximal, complemented
21#72257999C211yesmaximal, characteristic, complemented
22#72249469C211yesmaximal, characteristic, complemented
23#72249466C211yesmaximal, characteristic, complemented
24C2×#7622875C211yesmaximal, characteristic, complemented
25#72240656C212yesmaximal, complemented
26C2×#501097C211yesmaximal, characteristic, complemented
27C2×#499832C211yesmaximal, characteristic, complemented
28#72234531C214yesmaximal, complemented
29C2×#7622880C211yesmaximal, characteristic, complemented
30#72233522C211yesmaximal, characteristic, complemented
31#72233116C212yesmaximal, complemented
32C2×#63011C2211yescharacteristic, complemented
33C2×#62862C2211yescharacteristic, complemented
34#10586066C2211yescharacteristic, complemented
35C2×#60399C2212yescomplemented
36C22×#3026C2212yescomplemented
37C2×#60388C2211yescharacteristic, complemented
38C22×#3019C2211yescharacteristic, complemented
39#8070012C2212yescomplemented
40#8069760C2212yescomplemented
41#8063818C2212yescomplemented
42#8062966C2212yescomplemented
43#8058696C2212yescomplemented
44#8040645C2212yescomplemented
45#7988408C2212yescomplemented
46#7967779C2212yescomplemented
47#7823086C2212yescomplemented
48#7811879C2212yescomplemented
49#7763449C2212yescomplemented
50#7743196C2211yescharacteristic, complemented
51#7737413C2211yescharacteristic, complemented
52C2×#52004C2211yescharacteristic, complemented
53#7675391C2212yes—
54#7673820C2211yescharacteristic
55#7627598C2211yescharacteristic, complemented
56C2×#33559C2212yescomplemented
57C2×#33558C2212yescomplemented
58C2×#33558C2212yescomplemented
59C2×#33558C2212yescomplemented
60C2×#33557C2211yescharacteristic
61C2×#33557C2212yescomplemented
62C2×#33557C2211yescharacteristic, complemented
63C2×#33557C2211yescharacteristic, complemented
64C2×#33557C2211yescharacteristic, complemented
65C2×#33557C2211yescharacteristic, complemented
66C2×#33557C2211yescharacteristic, complemented
67C2×#33553C2214yescomplemented
68C2×#33552C2214yescomplemented
69C2×#33552C2214yescomplemented
70C2×#33551C2212yescomplemented
71C2×#33551C2214yescomplemented
72C2×#33551C2214yescomplemented
73C2×#33551C2214yescomplemented
74C2×#33551C2212yescomplemented
75C2×#33551C2212yescomplemented
76C2×#33546C2212yescomplemented
77C22×#2196C2211yescharacteristic, complemented
78C22×#2196C2212yescomplemented
79C22×#2196C2211yescharacteristic, complemented
80C22×#2196C2211yescharacteristic, complemented
81C2×#33359C2211yescharacteristic, complemented
82C22×#2127C2211yescharacteristic, complemented
83C2×#33348C2212yescomplemented
84C22×#2121C2212yescomplemented
85#6628987C2212yescomplemented
86#6628974C2211yescharacteristic, complemented
87#6628900C2212yescomplemented
88C2×#32898C2212yescomplemented
89#6628873C2211yescharacteristic, complemented
90#6628867C2211yescharacteristic, complemented
91#6573726C2214yescomplemented
92#6573724C2214yescomplemented
93#6573721C2214yescomplemented
94#6573719C2214yescomplemented
95#6573716C2214yescomplemented
96#6573715C2214yescomplemented
97#6573713C2214yescomplemented
98D4×B(4,𝔽2)C2214yescomplemented
99#6573689C2214yescomplemented
100#6573687C2214yescomplemented
101#6573676C2214yescomplemented
102#6573671C2214yescomplemented
103#6443353C2212yescomplemented
104#6443333C2211yescharacteristic, complemented
105#6442732C2212yescomplemented
106#6442565C2211yescharacteristic, complemented
107#6438003C2212yescomplemented
108C2×#24404C2212yescomplemented
109#6437978C2211yescharacteristic, complemented
110#6437963C2211yescharacteristic, complemented
111#6437632C2212yescomplemented
112#6437621C2212yescomplemented
113#6437456C2211yescharacteristic, complemented
114C2×#23912C2211yescharacteristic, complemented
115#6379025C2211yescharacteristic, complemented
116#6379010C2212yescomplemented
117#6372733C2212yescomplemented
118#6372713C2211yescharacteristic, complemented
119#511941C2214yescomplemented
120#511938C2214yescomplemented
121#511918C2214yescomplemented
122#511912C2214yescomplemented
123#511787C2212yescomplemented
124#511785C2212yescomplemented
125#511781C2214yescomplemented
126#511780C2214yescomplemented
127#511780C2214yescomplemented
128#511779C2214yescomplemented
129#511779C2214yescomplemented
130#511779C2214yescomplemented
131#511774C2212yescomplemented
132#511771C2212yescomplemented
133#503241C2214yescomplemented
134#503239C2214yescomplemented
135#503238C2214yescomplemented
136#503236C2214yescomplemented
137#503206C2214yescomplemented
138#503206C2214yescomplemented
139#503198C2214yescomplemented
140#503194C2214yescomplemented
141#503192C2214yescomplemented
142#503189C2214yescomplemented
143#503187C2214yescomplemented
144#503184C2214yescomplemented
145#501184C2214yescomplemented
146#501183C2214yescomplemented
147#501181C2214yescomplemented
148#501180C2214yescomplemented
149#501176C2214yescomplemented
150#501174C2214yescomplemented
151#501173C2214yescomplemented
152#501173C2214yescomplemented
153#501169C2214yescomplemented
154#501167C2214yescomplemented
155#501164C2214yescomplemented
156#501164C2214yescomplemented
157#501161C2214yescomplemented
158#501158C2214yescomplemented
159#501157C2214yescomplemented
160#501156C2214yescomplemented
161#501099C2212yescomplemented
162#501098C2212yescomplemented
163#501097C2214yescomplemented
164#501097C2214yescomplemented
165#501097C2214yescomplemented
166#501097C2214yescomplemented
167#501097C2212yescomplemented
168#501096C2212yescomplemented
169#501091C2214yescomplemented
170#501090C2214yescomplemented
171#500826C2214yescomplemented
172#500824C2214yescomplemented
173#500823C2214yescomplemented
174#500821C2214yescomplemented
175#500781C2214yescomplemented
176#500781C2214yescomplemented
177#500773C2214yescomplemented
178#500769C2214yescomplemented
179#500767C2214yescomplemented
180#500764C2214yescomplemented
181#500762C2214yescomplemented
182#500759C2214yescomplemented
183#499850C2214yescomplemented
184#499849C2214yescomplemented
185#499834C2212yescomplemented
186#499833C2212yescomplemented
187#499832C2214yescomplemented
188#499832C2214yescomplemented
189#499832C2214yescomplemented
190#499832C2214yescomplemented
191#499832C2212yescomplemented
192#499831C2212yescomplemented
193#499817C2214yescomplemented
194#499815C2214yescomplemented
195#499812C2214yescomplemented
196#499811C2214yescomplemented
197#499807C2214yescomplemented
198#499807C2214yescomplemented
199#499805C2214yescomplemented
200#499804C2214yescomplemented
201#499801C2214yescomplemented
202#499800C2214yescomplemented
203#499795C2214yescomplemented
204#499795C2214yescomplemented
205#499792C2214yescomplemented
206#499791C2214yescomplemented
207#499789C2214yescomplemented
208#499787C2214yescomplemented
209#499141C2212yescomplemented
210C2×#13424C2212yescomplemented
211#499096C2212yescomplemented
212#498931C2212yescomplemented
213#498931C2212yescomplemented
214#498931C2212yescomplemented
215C2×#13348C2212yescomplemented
216C2×#13348C2212yescomplemented
217C2×#13348C2212yescomplemented
218#498886C2212yescomplemented
219#498886C2212yescomplemented
220#498886C2212yescomplemented
221#497362C2214yescomplemented
222#497361C2214yescomplemented
223#497357C2214yescomplemented
224#497356C2214yescomplemented
225#497355C2214yescomplemented
226#497353C2214yescomplemented
227#497306C2214yescomplemented
228#497305C2214yescomplemented
229#497295C2214yescomplemented
230#497294C2214yescomplemented
231#497290C2214yescomplemented
232D4×AΣL(1,𝔽16)C2214yescomplemented
233#495774C2214yescomplemented
234#495771C2214yescomplemented
235#495751C2214yescomplemented
236C4×#2200C2214yescomplemented
237#495178C2212yescomplemented
238#495166C2212yescomplemented
239#495154C2212yescomplemented
240#494718C2212yescomplemented
241#494713C2212yescomplemented
242#494703C2212yescomplemented
243C2×#13086C2212yescomplemented
244#494685C2212yescomplemented
245C2×#13082C2212yescomplemented
246C2×#13049C2211yescharacteristic, complemented
247C2×#13049C2211yescharacteristic, complemented
248C2×#13049C2211yescharacteristic, complemented
249#494579C2212yescomplemented
250#494579C2212yescomplemented
251#494579C2212yescomplemented
252C2×#12966C2211yescharacteristic, complemented
253#494353C2212yescomplemented
254#493711C2211yescharacteristic, complemented
255#493702C2212yescomplemented
256#493632C2212yescomplemented
257#493629C2211yescharacteristic, complemented
258#493629C2211yescharacteristic, complemented
259#493582C2212yescomplemented
260C2×#12759C2211yescharacteristic, complemented
261#493430C2211yescharacteristic, complemented
262#493424C2212yescomplemented
263C2×#12696C2211yescharacteristic, complemented
264#493357C2212yescomplemented
265#493034C2211yescharacteristic, complemented
266#492994C2212yescomplemented
267C2×H(7,𝔽2)C2311yescharacteristic
268C23×H(5,𝔽2)C2311yescharacteristic, complemented
269#62987C2314yescomplemented
270D4×H(5,𝔽2)C2314yescomplemented
271#62842C2311yescharacteristic
272#62842C2311yescharacteristic, complemented
273C2×#3498C2311yescharacteristic
274C2×#3485D411yescharacteristic, complemented
275C2×#3484C2312yes—
276C2×#3484C2311yescharacteristic
277C2×#3484C2311yescharacteristic, complemented
278C2×#3549C2311yescharacteristic, complemented
279C2×#3545C2312yes—
280C2×#3543C2311yescharacteristic
281C2×#3543C2311yescharacteristic
282C2×#3543C2311yescharacteristic, complemented
283C2×#3533C2312yescomplemented
284C2×#3533C2312yescomplemented
285C2×#3537C2312yescomplemented
286C2×#3532C2312yes—
287C2×#3532C2312yescomplemented
288C2×#3532C2312yescomplemented
289C2×#3532C2312yescomplemented
290C2×#3481C2311yescharacteristic, complemented
291C22×D42D412yescomplemented
292C22×D42C2311yescharacteristic
293C22×D42C2311yescharacteristic, complemented
294C22×#535C2311yescharacteristic
295C22×#534C2312yes—
296#62652C2311yescharacteristic, complemented
297C2×#3027C2314yes—
298C2×#3026C2312yes—
299C2×#3026C2312yes—
300C2×#3026C2314yes—
301C2×#3026C2312yes—
302C2×#3026C2312yescomplemented
303C2×#3026C2312yescomplemented
304C2×#3026C2314yescomplemented
305C2×#3026C2314yescomplemented
306C2×#3026C2312yescomplemented
307C2×#3025C2314yes—
308C22×#458C2314yescomplemented
309C22×B(4,𝔽2)C2312yes—
310C22×B(4,𝔽2)C2314yes—
311C22×B(4,𝔽2)C2312yes—
312C22×B(4,𝔽2)C2312yes—
313C22×B(4,𝔽2)C2314yescomplemented
314C2×#3021C2312yes—
315C2×#3019C2311yescharacteristic
316C2×#3019C2311yescharacteristic
317C2×#3019C2314yes—
318C2×#3019C2312yes—
319C2×#3019C2311yescharacteristic
320C2×#3019C2314yescomplemented
321C2×#3018C2312yes—
322C22×#455C2311yescharacteristic, complemented
323C22×#455C2311yescharacteristic, complemented
324C22×#455C2311yescharacteristic, complemented
325C22×#453C2311yescharacteristic
326C22×#453C2311yescharacteristic
327C22×#453C2312yes—
328C22×#453C2311yescharacteristic
329C2×#2888C2311yescharacteristic
330C23×#100C2311yescharacteristic, complemented
331C2×#2883C2312yes—
332C23×#99C2312yescomplemented
333#59816C2312yescomplemented
334#59802C2312yescomplemented
335#59420C2312yescomplemented
336#59375C2312yescomplemented
337#59191C2312yescomplemented
338#59179C2312yescomplemented
339#59006C2312yescomplemented
340#58990C2312yescomplemented
341C2×#2684C2312yes—
342#52054C2311yescharacteristic, complemented
343#52054C2311yescharacteristic, complemented
344#52031C2312yescomplemented
345#52031C2312yescomplemented
346#52004C2311yescharacteristic, complemented
347#52004C2312yescomplemented
348#52004C2312yescomplemented
349#52004C2312yescomplemented
350#52004C2312yescomplemented
351#52004C2311yescharacteristic, complemented
352#51060C2312yescomplemented
353#50887C2312yescomplemented
354#50867C2312yescomplemented
355#50856C2312yescomplemented
356#50856C2312yescomplemented
357#50646C2312yescomplemented
358#50165C2312yescomplemented
359#49562C2312yescomplemented
360#48812C2312yescomplemented
361#47929C2312yescomplemented
362#47848C2312yescomplemented
363#47827C2312yescomplemented
364#46324C2312yescomplemented
365#46276C2312yescomplemented
366#45490C2312yescomplemented
367#45479C2312yescomplemented
368#45455C2312yescomplemented
369#45453C2312yescomplemented
370#45439C2312yescomplemented
371#45439C2312yescomplemented
372#39362D412yescomplemented
373#39362C2312yes—
374#39355D412yescomplemented
375#39355C2312yes—
376#39336D412yescomplemented
377#39336C2312yes—
378#39332D412yescomplemented
379#39332C2312yes—
380#37682D412yescomplemented
381#37682C2312yes—
382#37674D412yescomplemented
383#37674C2312yes—
384#37652D412yescomplemented
385#37652C2312yes—
386#37646D412yescomplemented
387#37646C2312yes—
388#37645D412yescomplemented
389#37645C2312yes—
390#37644D412yescomplemented
391#37644C2312yes—
392#36737C2312yes—
393#36714C2312yes—
394#36099D412yescomplemented
395#36099C2312yes—
396D4×#120D412yescomplemented
397D4×#120C2312yes—
398#35617C2311yescharacteristic
399#35616C2311yescharacteristic
400#35528D411yescharacteristic, complemented
401#35527D411yescharacteristic, complemented
402#35390D412yescomplemented
403#35358D412yescomplemented
404#35348C2312yes—
405#35347C2312yes—
406#35329D411yescharacteristic, complemented
407#35327D411yescharacteristic, complemented
408#35222C2311yescharacteristic
409#35149D411yescharacteristic, complemented
410#34984D412yescomplemented
411#34980D412yescomplemented
412#34980D412yescomplemented
413C2×#2410D412yescomplemented
414C2×#2403C2312yes—
415#34633D411yescharacteristic, complemented
416#34520C2312yescomplemented
417#34510C2312yescomplemented
418#34468C2312yescomplemented
419#34407C2312yes—
420C4×#560C2312yescomplemented
421C2×#2380C2311yescharacteristic
422#34264C2312yes—
423#34210C2311yescharacteristic
424#34198D412yescomplemented
425#34065D411yescharacteristic, complemented
426#33557D4116yescomplemented
427C2×#2201C2314yescomplemented
428C2×#2201C2314yescomplemented
429C2×#2201C2314yescomplemented
430C2×#2200C2314yes—
431C2×#2200C2314yes—
432C2×#2200C2314yes—
433C2×#2200C2314yescomplemented
434C2×#2200C2314yescomplemented
435C2×#2200C2314yescomplemented
436C2×#2200C2314yescomplemented
437C2×#2200C2314yescomplemented
438C2×#2200C2314yescomplemented
439C2×#2199C2314yes—
440C2×#2199C2314yescomplemented
441C2×#2199C2314yescomplemented
442C2×#2199C2314yescomplemented
443C2×#2199C2314yescomplemented
444C2×#2199C2314yescomplemented
445C2×#2198C2312yes—
446C2×#2198C2312yescomplemented
447C2×#2198C2312yescomplemented
448C2×#2198C2312yescomplemented
449C2×#2198C2312yescomplemented
450C2×#2198C2312yescomplemented
451C2×#2197C2314yes—
452C2×#2197C2314yescomplemented
453C2×#2197C2314yescomplemented
454C2×#2197C2314yescomplemented
455C2×#2197C2314yescomplemented
456C2×#2197C2314yescomplemented
457C2×#2197C2314yescomplemented
458C2×#2197C2314yescomplemented
459C2×#2197C2314yescomplemented
460C2×#2196C2314yes—
461C2×#2196C2314yes—
462C2×#2196C2312yes—
463C2×#2196C2312yes—
464C2×#2196C2312yes—
465C2×#2196C2312yescomplemented
466C2×#2196C2312yescomplemented
467C2×#2196C2312yescomplemented
468C2×#2196C2312yescomplemented
469C2×#2196C2314yescomplemented
470C2×#2196C2312yescomplemented
471C2×#2196C2312yescomplemented
472C2×#2196C2314yescomplemented
473C2×#2196C2312yescomplemented
474C2×#2196C2314yescomplemented
475C2×#2196C2312yescomplemented
476C2×#2196C2314yescomplemented
477C2×#2196C2312yescomplemented
478C2×#2128C2312yescomplemented
479C2×#2127C2312yes—
480C2×#2127C2312yes—
481C2×#2127C2314yescomplemented
482C2×#2127C2314yescomplemented
483C2×#2127C2312yescomplemented
484C2×#2126C2312yescomplemented
485C22×#354C2312yescomplemented
486C22×#354C2312yescomplemented
487C22×#353C2311yescharacteristic
488C22×#353C2311yescharacteristic
489C22×#353C2311yescharacteristic
490C22×#353C2311yescharacteristic
491C22×#353C2312yescomplemented
492C2×#2122C2314yescomplemented
493C2×#2121C2312yes—
494C2×#2121C2312yes—
495C2×#2121C2312yes—
496C2×#2121C2312yes—
497C2×#2121C2312yescomplemented
498C2×#2121C2312yescomplemented
499C2×#2121C2314yescomplemented
500C2×#2121C2314yescomplemented
501C2×#2121C2314yescomplemented
502C2×#2121C2312yescomplemented
503C2×#2121C2312yescomplemented
504C2×#2120C2314yescomplemented
505C22×#352C2314yescomplemented
506C22×AΣL(1,𝔽16)C2312yes—
507C22×AΣL(1,𝔽16)C2312yes—
508C22×AΣL(1,𝔽16)C2312yes—
509C22×AΣL(1,𝔽16)C2312yes—
510C22×AΣL(1,𝔽16)C2314yescomplemented
511C22×AΣL(1,𝔽16)C2314yescomplemented
512#32928C2314yes—
513#32928C2314yescomplemented
514#32926C2314yes—
515#32926C2314yescomplemented
516#32924C2314yescomplemented
517#32922C2314yescomplemented
518#32901C2314yescomplemented
519#32900C2314yescomplemented
520#32899C2314yescomplemented
521#32898C2314yes—
522#32898C2314yes—
523#32898C2314yescomplemented
524#32898C2314yescomplemented
525#32898C2314yescomplemented
526#32893C2314yescomplemented
527#32891C2314yescomplemented
528#32891C2314yescomplemented
529#32888C2314yescomplemented
530#25773C2314yes—
531#25773C2314yescomplemented
532#25771C2314yes—
533#25771C2314yescomplemented
534#25743C2314yescomplemented
535#25738C2314yescomplemented
536#24415C2314yescomplemented
537#24413C2314yescomplemented
538#24413C2314yescomplemented
539#24412C2314yescomplemented
540#24407C2314yescomplemented
541#24406C2314yescomplemented
542#24405C2314yescomplemented
543#24404C2314yes—
544#24404C2314yes—
545#24404C2314yescomplemented
546#24404C2314yescomplemented
547#24404C2314yescomplemented
548#24263C2314yescomplemented
549#24262C2314yescomplemented
550#24261C2314yescomplemented
551#24260C2314yescomplemented
552#24226C2314yes—
553#24222C2314yescomplemented
554#23913C2312yes—
555#23912C2312yes—
556#23912C2314yes—
557#23912C2314yescomplemented
558#23908C2312yes—
559#23906C2312yes—
560#23904C2314yes—
561#23903C2314yes—
562#23903C2314yescomplemented
563#23903C2314yescomplemented
564#23902C2314yes—
565#23901C2314yescomplemented
566#23900C2314yes—
567#23900C2314yescomplemented
568#22408C2314yescomplemented
569D4×#100C2314yescomplemented
570#22405C2314yescomplemented
571#22405C2314yescomplemented
572D4×#99C2314yescomplemented
573D4×#99C2314yescomplemented
574#21482C2314yescomplemented
575#21481C2314yescomplemented
576C4×#458C2314yescomplemented
577C4×B(4,𝔽2)C2314yescomplemented
578#21473C2314yes—
579C4×#453C2314yescomplemented
580#20960C2312yes—
581#20960C2312yescomplemented
582C2×#1889C2312yes—
583#20953C2311yescharacteristic
584C2×#1887C2311yescharacteristic
585C2×#1885C2311yescharacteristic, complemented
586C2×#1867C2312yescomplemented
587#20856C2311yescharacteristic, complemented
588#20638C2311yescharacteristic, complemented
589#20633C2312yescomplemented
590#20616C2311yescharacteristic, complemented
591#20616C2311yescharacteristic, complemented
592#20616C2311yescharacteristic, complemented
593C2×#1790C2312yescomplemented
594C2×#1790C2312yescomplemented
595C2×#1790C2312yescomplemented
596#20592C2311yescharacteristic
597C2×#1783C2311yescharacteristic, complemented
598#20585C2312yes—
599C2×#1781C2312yescomplemented
600#20398C2311yescharacteristic, complemented
601#20392C2312yescomplemented
602#13425C2314yescomplemented
603#13424C2314yescomplemented
604#13424C2314yescomplemented
605#13424C2314yescomplemented
606#13424C2314yescomplemented
607#13424C2314yescomplemented
608#13423C2314yescomplemented
609#13422C2314yescomplemented
610#13420C2314yescomplemented
611#13420C2314yescomplemented
612#13419C2314yescomplemented
613#13419C2314yescomplemented
614#13349C2314yescomplemented
615#13349C2314yescomplemented
616#13349C2314yescomplemented
617#13348C2314yes—
618#13348C2314yes—
619#13348C2314yescomplemented
620#13348C2314yescomplemented
621#13348C2314yescomplemented
622#13348C2314yescomplemented
623#13348C2314yescomplemented
624#13348C2314yescomplemented
625#13348C2314yescomplemented
626#13348C2314yescomplemented
627#13348C2314yescomplemented
628#13348C2314yescomplemented
629#13348C2314yescomplemented
630#13348C2314yescomplemented
631#13348C2314yescomplemented
632#13347C2314yescomplemented
633#13347C2314yescomplemented
634#13347C2314yescomplemented
635#13346C2314yescomplemented
636#13346C2314yescomplemented
637#13346C2314yescomplemented
638#13344C2314yes—
639#13344C2314yescomplemented
640#13344C2314yescomplemented
641#13344C2314yescomplemented
642#13344C2314yescomplemented
643#13344C2314yescomplemented
644#13343C2314yes—
645#13343C2314yescomplemented
646#13343C2314yescomplemented
647#13343C2314yescomplemented
648#13343C2314yescomplemented
649#13343C2314yescomplemented
650#13225C2314yescomplemented
651#13225C2314yescomplemented
652#13224C2314yescomplemented
653#13224C2314yescomplemented
654#13222C2314yescomplemented
655#13222C2314yescomplemented
656#13221C2314yescomplemented
657#13221C2314yescomplemented
658#13219C2314yescomplemented
659#13219C2314yescomplemented
660#13218C2314yescomplemented
661#13218C2314yescomplemented
662#13091C2314yescomplemented
663#13091C2314yescomplemented
664#13090C2314yescomplemented
665#13090C2314yescomplemented
666#13090C2314yescomplemented
667#13090C2314yescomplemented
668#13088C2314yescomplemented
669#13088C2314yescomplemented
670#13087C2314yescomplemented
671#13086C2314yescomplemented
672#13086C2314yescomplemented
673#13086C2314yescomplemented
674#13086C2314yescomplemented
675#13086C2314yescomplemented
676#13085C2314yescomplemented
677#13084C2314yescomplemented
678#13083C2314yescomplemented
679#13082C2314yescomplemented
680#13082C2314yescomplemented
681#13082C2314yescomplemented
682#13082C2314yescomplemented
683#13082C2314yescomplemented
684#13081C2314yescomplemented
685#13080C2314yescomplemented
686#13049C2314yes—
687#13049C2314yescomplemented
688#13049C2312yescomplemented
689#13049C2312yescomplemented
690#13049C2312yescomplemented
691#13049C2314yescomplemented
692#13049C2312yescomplemented
693#13049C2312yescomplemented
694#13049C2312yescomplemented
695#13044C2314yescomplemented
696#13044C2314yescomplemented
697#13044C2314yescomplemented
698#13043C2314yescomplemented
699#13043C2314yescomplemented
700#13043C2314yescomplemented
701#13042C2314yescomplemented
702#13042C2314yescomplemented
703#13042C2314yescomplemented
704#13041C2314yescomplemented
705#13041C2314yescomplemented
706#13041C2314yescomplemented
707#12966C2314yescomplemented
708#12966C2312yescomplemented
709#12966C2312yescomplemented
710#12961C2314yescomplemented
711#12960C2314yescomplemented
712#12959C2314yescomplemented
713#12958C2314yescomplemented
714#12799C2314yescomplemented
715#12797C2314yescomplemented
716#12796C2314yescomplemented
717#12795C2314yescomplemented
718#12794C2314yescomplemented
719#12793C2314yescomplemented
720#12764C2314yescomplemented
721#12763C2314yescomplemented
722#12763C2314yescomplemented
723#12762C2314yescomplemented
724#12762C2314yescomplemented
725#12762C2314yescomplemented
726#12761C2314yescomplemented
727#12761C2314yescomplemented
728#12761C2314yescomplemented
729#12760C2312yescomplemented
730#12760C2312yescomplemented
731#12759C2312yescomplemented
732#12759C2314yescomplemented
733#12759C2312yescomplemented
734#12759C2314yescomplemented
735#12759C2312yescomplemented
736#12759C2312yescomplemented
737#12697C2312yescomplemented
738#12696C2312yescomplemented
739#12696C2314yescomplemented
740#12696C2314yescomplemented
741#12695C2312yescomplemented
742#12693C2312yescomplemented
743#12691C2314yescomplemented
744#12690C2314yescomplemented
745#12690C2314yescomplemented
746#12690C2314yescomplemented
747#12689C2314yescomplemented
748#12688C2314yescomplemented
749#12687C2314yescomplemented
750#12687C2314yescomplemented
751#12628C2314yescomplemented
752C4×#353C2314yescomplemented
753#12622C2314yescomplemented
754#12621C2314yescomplemented
755C4×#352C2314yescomplemented
756C4×AΣL(1,𝔽16)C2314yescomplemented
757#12582C2312yescomplemented
758#12582C2312yescomplemented
759C2×#1390C2312yescomplemented
760C2×#1390C2312yescomplemented
761C2×#1390C2312yescomplemented
762C2×#1390C2312yescomplemented
763C2×#585C2412yes—
764C22×H(5,𝔽2)C2×D411yescharacteristic, complemented
765C22×H(5,𝔽2)C2411yescharacteristic
766C22×H(5,𝔽2)C2411yescharacteristic
767C22×H(5,𝔽2)C2411yescharacteristic
768C22×H(5,𝔽2)C2412yes—
769C22×H(5,𝔽2)C2414yes—
770C22×H(5,𝔽2)C2411yescharacteristic
771C23×#41C2×D411yescharacteristic, complemented
772C24×D4C2×D412yescomplemented
773C24×D4C2×D412yescomplemented
774C24×D4C2×D412yescomplemented
775C24×D4C2×D412yescomplemented
776C24×D4C2411yescharacteristic
777#3543C2×D418yescomplemented
778C2×#563C2412yes—
779C2×H(3,𝔽4)C2412yes—
780C2×H(3,𝔽4)C2412yes—
781C2×#560C2412yes—
782C2×#560C2412yes—
783C2×#560C2412yes—
784#3496C2414yes—
785#3485C2412yes—
786#3484C2412yes—
787#3484C2414yes—
788C2×#559C2411yescharacteristic
789C2×#559C2411yescharacteristic
790C2×#551C2412yes—
791C2×#551C2412yes—
792C2×#551C2412yes—
793C2×#547C2×D412yescomplemented
794C2×#547C2×D412yescomplemented
795C2×#546C2×D412yes—
796C2×#546C2×D412yes—
797C2×#546C2×D412yes—
798C2×#546C2×D412yescomplemented
799C2×#546C2×D412yescomplemented
800C2×#546C2412yes—
801C2×D42C2×D412yes—
802C2×D42C2×D412yes—
803C2×D42C2×D412yes—
804C2×D42C2411yescharacteristic
805C2×D42C2412yes—
806C2×D42C2412yes—
807C2×D42C2411yescharacteristic
808C2×D42C2411yescharacteristic
809C2×D42C2411yescharacteristic
810C2×D42C2412yes—
811C2×#536C2×D411yescharacteristic, complemented
812C2×#536C2×D411yescharacteristic, complemented
813C2×#536C2×D411yescharacteristic, complemented
814C2×#535C2×D411yescharacteristic
815C2×#535C2×D411yescharacteristic
816C2×#535C2×D411yescharacteristic, complemented
817C2×#535C2×D412yescomplemented
818C2×#535C2×D412yescomplemented
819C2×#535C2×D411yescharacteristic, complemented
820C2×#535C2×D411yescharacteristic, complemented
821C2×#535C2×D411yescharacteristic, complemented
822C2×#535C2×D412yescomplemented
823C2×#535C2411yescharacteristic
824C2×#535C2411yescharacteristic
825C2×#535C2412yes—
826C2×#535C2412yes—
827C2×#535C2411yescharacteristic
828C2×#535C2412yes—
829C2×#534C2×D412yes—
830C2×#534C2×D412yes—
831C2×#534C2×D412yescomplemented
832C2×#534C2×D412yescomplemented
833C2×#534C2×D412yescomplemented
834C2×#534C2×D412yescomplemented
835C2×#534C2×D412yescomplemented
836C2×#534C2×D412yescomplemented
837C2×#534C2×D412yescomplemented
838C2×#534C2412yes—
839C2×#534C2412yes—
840C2×#534C2412yes—
841C2×#534C2412yes—
842C2×#534C2412yes—
843C2×#532C2×D411yescharacteristic, complemented
844C2×#532C2×D411yescharacteristic, complemented
845C2×#532C2411yescharacteristic
846C22×#127C2×D411yescharacteristic, complemented
847C22×#127C2×D411yescharacteristic, complemented
848C22×#127C2×D412yescomplemented
849C22×#127C2411yescharacteristic
850C22×#127C2411yescharacteristic
851C22×#124C2×D411yescharacteristic, complemented
852C22×#124C2411yescharacteristic
853C2×#525C2×D411yescharacteristic
854C2×#525C2×D411yescharacteristic
855C2×#525C2×D411yescharacteristic, complemented
856C2×#525C2×D412yescomplemented
857C2×#525C2412yes—
858C22×#123C2×D412yescomplemented
859C22×#123C2412yes—
860C22×#121C2×D412yescomplemented
861C22×#121C2×D412yescomplemented
862C22×#121C2×D412yescomplemented
863C22×#121C2×D412yescomplemented
864C22×#120C2×D412yes—
865C22×#120C2×D412yes—
866C22×#120C2×D412yescomplemented
867C22×#120C2×D412yescomplemented
868C22×#120C2×D412yescomplemented
869C22×#120C2×D412yescomplemented
870C22×#120C2×D412yescomplemented
871C22×#120C2×D412yescomplemented
872C22×#120C2×D412yescomplemented
873C22×#120C2412yes—
874C22×#120C2412yes—
875C22×#120C2412yes—
876C4×H(5,𝔽2)C2414yes—
877C2×#518C2×D411yescharacteristic, complemented
878C2×#518C2×D412yescomplemented
879C2×#518C2411yescharacteristic
880C2×#518C2411yescharacteristic
881C2×C4×#41C2×D411yescharacteristic, complemented
882C22×C4×D4C2×D412yescomplemented
883C22×C4×D4C2×D412yescomplemented
884C22×#117C2×D411yescharacteristic, complemented
885C23×C22⋊C4C2×D412yescomplemented
886#3026C2×D4116yescomplemented
887C2×#458C2414yes—
888C2×#458C2414yes—
889C2×#458C2414yes—
890C2×#458C2414yes—
891C2×#458C2414yes—
892C2×#458C2414yes—
893C2×B(4,𝔽2)C2414yes—
894C2×B(4,𝔽2)C2414yes—
895C2×B(4,𝔽2)C2414yes—
896C2×B(4,𝔽2)C2414yes—
897C2×B(4,𝔽2)C2414yes—
898C2×B(4,𝔽2)C2414yes—
899C2×B(4,𝔽2)C2414yes—
900C2×B(4,𝔽2)C2414yes—
901C2×B(4,𝔽2)C2414yes—
902C2×B(4,𝔽2)C2414yes—
903C2×B(4,𝔽2)C2414yes—
904C2×B(4,𝔽2)C2414yes—
905C2×#455C2412yes—
906C2×#455C2412yes—
907C2×#455C2414yes—
908C2×#455C2414yes—
909C2×#455C2412yes—
910C2×#455C2414yes—
911C2×#453C2×D418yescomplemented
912C2×#453C2412yes—
913C2×#453C2412yes—
914C2×#453C2412yes—
915C2×#453C2412yes—
916C2×#453C2412yes—
917C2×#453C2412yes—
918C2×#453C2412yes—
919C2×#453C2412yes—
920C2×#453C2412yes—
921C2×#413C2412yes—
922C22×#100C2411yescharacteristic
923C22×#100C2411yescharacteristic
924C22×#100C2411yescharacteristic
925C22×#100C2412yes—
926C22×#100C2414yes—
927C22×#100C2411yescharacteristic
928C2×#410C2414yes—
929C22×#99C2412yes—
930C22×#99C2412yes—
931C22×#99C2412yes—
932C22×#99C2414yes—
933C22×#99C2414yes—
934C22×#99C2414yes—
935C22×#99C2412yes—
936#2858C2×D412yescomplemented
937#2858C2×D412yescomplemented
938#2854C2×D412yescomplemented
939#2854C2×D412yescomplemented
940#2850C2×D412yescomplemented
941#2850C2×D412yescomplemented
942#2849C2×D412yescomplemented
943#2849C2×D412yescomplemented
944#2849C2×D412yescomplemented
945#2849C2×D412yescomplemented
946#2847C2×D412yescomplemented
947#2847C2×D412yescomplemented
948#2846C2×D412yescomplemented
949#2846C2×D412yescomplemented
950#2846C2×D412yescomplemented
951#2846C2×D412yescomplemented
952#2717C2412yes—
953#2709C2412yes—
954#2697C2412yes—
955#2697C2412yes—
956#2684C2412yes—
957#2684C2412yes—
958#2684C2412yes—
959#2684C2412yes—
960#2684C2412yes—
961#2679C2412yes—
962#2679C2412yes—
963#2669C2412yes—
964#2658C2×D412yescomplemented
965#2657C2×D412yescomplemented
966#2621C2×D412yescomplemented
967#2620C2×D412yescomplemented
968#2620C2×D412yescomplemented
969#2620C2×D412yescomplemented
970#2620C2×D412yescomplemented
971#2619C2×D412yescomplemented
972#2618C2×D412yescomplemented
973#2618C2×D412yescomplemented
974#2617C2×D412yescomplemented
975#2617C2×D412yescomplemented
976#2613C2×D412yescomplemented
977#2613C2×D412yescomplemented
978#2613C2×D412yescomplemented
979#2613C2×D412yescomplemented
980#2613C2×D412yescomplemented
981#2613C2×D412yescomplemented
982#2613C2×D412yescomplemented
983#2613C2×D412yescomplemented
984#2547C2×D412yescomplemented
985#2547C2412yes—
986#2544C2×D412yescomplemented
987#2544C2×D412yescomplemented
988#2544C2×D412yescomplemented
989#2544C2412yes—
990#2541C2×D412yescomplemented
991#2541C2×D412yescomplemented
992#2539C2×D412yescomplemented
993#2539C2×D412yescomplemented
994#2539C2×D412yescomplemented
995#2539C2×D412yescomplemented
996#2534C2×D412yescomplemented
997#2534C2×D412yescomplemented
998#2534C2412yes—
999#2534C2412yes—
1000#2435C2×D412yescomplemented
1001#2435C2×D412yescomplemented
1002#2435C2412yes—
1003#2435C2412yes—
1004#2433C2×D412yescomplemented
1005#2433C2×D412yescomplemented
1006#2433C2×D412yescomplemented
1007#2433C2×D412yescomplemented
1008#2433C2×D412yescomplemented
1009#2433C2×D412yescomplemented
1010#2433C2×D412yescomplemented
1011#2433C2412yes—
1012#2432C2×D412yescomplemented
1013#2432C2×D412yescomplemented
1014#2432C2×D412yescomplemented
1015#2432C2412yes—
1016#2431C2×D412yescomplemented
1017#2431C2×D412yescomplemented
1018#2431C2×D412yescomplemented
1019#2431C2×D412yescomplemented
1020#2413C2×D412yescomplemented
1021#2413C2×D412yescomplemented
1022#2412C2×D412yescomplemented
1023#2412C2×D412yescomplemented
1024#2411C2×D412yescomplemented
1025#2411C2×D412yescomplemented
1026#2410C2×D412yescomplemented
1027#2410C2×D412yescomplemented
1028#2410C2×D412yescomplemented
1029#2410C2×D412yescomplemented
1030#2410C2×D412yescomplemented
1031#2410C2×D412yescomplemented
1032#2410C2×D412yescomplemented
1033#2410C2×D412yescomplemented
1034#2410C2×D412yescomplemented
1035#2410C2×D412yescomplemented
1036#2408C2×D412yescomplemented
1037#2408C2×D412yescomplemented
1038#2408C2412yes—
1039#2408C2412yes—
1040#2406C2×D412yescomplemented
1041#2406C2412yes—
1042#2405C2×D412yescomplemented
1043#2405C2412yes—
1044#2404C2×D412yescomplemented
1045#2404C2412yes—
1046#2403C2×D412yescomplemented
1047#2403C2×D412yescomplemented
1048#2403C2×D412yescomplemented
1049#2403C2×D412yescomplemented
1050#2403C2×D412yescomplemented
1051#2403C2412yes—
1052#2403C2412yes—
1053#2403C2412yes—
1054#2403C2412yes—
1055#2403C2412yes—
1056#2380C2411yescharacteristic
1057#2380C2411yescharacteristic
1058#2380C2412yes—
1059#2376C2412yes—
1060#2375C2412yes—
1061#2374C2412yes—
1062#2358C2412yes—
1063#2342C2×D412yescomplemented
1064#2342C2×D412yescomplemented
1065#2342C2×D412yescomplemented
1066#2342C2×D412yescomplemented
1067D4×C22⋊C4C2×D412yescomplemented
1068D4×C22⋊C4C2×D412yescomplemented
1069D4×C22⋊C4C2×D412yescomplemented
1070D4×C22⋊C4C2×D412yescomplemented
1071#2328C2×D412yescomplemented
1072#2328C2412yes—
1073#2322C2×D412yescomplemented
1074#2322C2412yes—
1075#2321C2×D412yescomplemented
1076#2321C2412yes—
1077#2315C2×D412yescomplemented
1078#2310C2×D411yescharacteristic, complemented
1079#2309C2×D411yescharacteristic, complemented
1080#2309C2×D411yescharacteristic, complemented
1081#2309C2411yescharacteristic
1082#2308C2×D412yescomplemented
1083#2308C2×D412yescomplemented
1084#2308C2×D412yescomplemented
1085C4×#127C2×D412yescomplemented
1086C4×#127C2412yes—
1087C4×#123C2×D412yescomplemented
1088C4×#123C2412yes—
1089C4×#120C2×D412yescomplemented
1090C4×#120C2412yes—
1091#2297C2×D411yescharacteristic, complemented
1092#2297C2×D411yescharacteristic, complemented
1093#2297C2×D411yescharacteristic, complemented
1094#2296C2×D411yescharacteristic, complemented
1095#2293C2×D412yescomplemented
1096#2293C2×D412yescomplemented
1097#2290C2×D412yescomplemented
1098#2290C2×D412yescomplemented
1099C2×#386C2×D412yescomplemented
1100C2×#386C2×D412yescomplemented
1101C2×#386C2412yes—
1102C2×#385C2×D412yescomplemented
1103#2285C2×D411yescharacteristic, complemented
1104#2280C2×D411yescharacteristic, complemented
1105C2×#379C2×D412yescomplemented
1106C2×#379C2×D412yescomplemented
1107#2273C2×D412yescomplemented
1108C4×#117C2×D411yescharacteristic, complemented
1109#2200C2×D4132yescomplemented
1110#2198C2×D4116yescomplemented
1111#2196C2×D4116yescomplemented
1112C2×#354C2414yes—
1113C2×#354C2414yes—
1114C2×#354C2414yes—
1115C2×#354C2414yes—
1116C2×#354C2414yes—
1117C2×#354C2414yes—
1118C2×#353C2×D418yescomplemented
1119C2×#353C2412yes—
1120C2×#353C2412yes—
1121C2×#353C2414yes—
1122C2×#353C2412yes—
1123C2×#353C2412yes—
1124C2×#353C2412yes—
1125C2×#353C2412yes—
1126C2×#353C2414yes—
1127C2×#353C2412yes—
1128C2×#353C2412yes—
1129#2121C2×D4116yescomplemented
1130C2×#352C2414yes—
1131C2×#352C2414yes—
1132C2×#352C2414yes—
1133C2×#352C2414yes—
1134C2×#352C2414yes—
1135C2×#352C2414yes—
1136C2×#352C2414yes—
1137C2×#352C2414yes—
1138C2×AΣL(1,𝔽16)C2414yes—
1139C2×AΣL(1,𝔽16)C2414yes—
1140C2×AΣL(1,𝔽16)C2414yes—
1141C2×AΣL(1,𝔽16)C2414yes—
1142C2×AΣL(1,𝔽16)C2414yes—
1143C2×AΣL(1,𝔽16)C2414yes—
1144C2×AΣL(1,𝔽16)C2414yes—
1145C2×AΣL(1,𝔽16)C2414yes—
1146C2×AΣL(1,𝔽16)C2414yes—
1147C2×AΣL(1,𝔽16)C2414yes—
1148C2×AΣL(1,𝔽16)C2414yes—
1149C2×AΣL(1,𝔽16)C2414yes—
1150C2×AΣL(1,𝔽16)C2414yes—
1151C2×AΣL(1,𝔽16)C2414yes—
1152C2×AΣL(1,𝔽16)C2414yes—
1153C2×AΣL(1,𝔽16)C2414yes—
1154#1890C2414yes—
1155#1890C2414yes—
1156#1889C2414yes—
1157#1889C2414yes—
1158#1889C2414yes—
1159#1889C2414yes—
1160#1887C2412yes—
1161#1887C2412yes—
1162#1887C2412yes—
1163#1885C2412yes—
1164#1885C2414yes—
1165#1867C2414yes—
1166#1867C2414yes—
1167#1856C2414yes—
1168#1800C2414yes—
1169#1799C2414yes—
1170#1799C2414yes—
1171#1792C2414yes—
1172#1792C2414yes—
1173#1792C2414yes—
1174#1790C2414yes—
1175#1790C2414yes—
1176#1790C2414yes—
1177#1790C2414yes—
1178#1790C2414yes—
1179#1790C2414yes—
1180#1785C2412yes—
1181#1783C2412yes—
1182#1783C2414yes—
1183#1782C2414yes—
1184#1781C2414yes—
1185#1781C2414yes—
1186#1781C2414yes—
1187C4×#100C2414yes—
1188C4×#99C2414yes—
1189C4×#99C2414yes—
1190#1393C2414yes—
1191#1393C2414yes—
1192#1393C2414yes—
1193#1393C2414yes—
1194#1390C2414yes—
1195#1390C2414yes—
1196#1390C2414yes—
1197#1390C2414yes—
1198#1390C2414yes—
1199#1390C2414yes—
1200#1390C2414yes—
1201#1390C2414yes—
1202C26C22×D412yes—
1203C26C22×D412yes—
1204C26C22×D412yes—
1205C26C22×D412yes—
1206C2×H(5,𝔽2)C22×D414yes—
1207C2×H(5,𝔽2)C2512yes—
1208C2×H(5,𝔽2)C2512yes—
1209C2×H(5,𝔽2)C2512yes—
1210C22×#41C22×D411yescharacteristic
1211C22×#41C22×D412yes—
1212C22×#41C22×D412yes—
1213C22×#41C22×D411yescharacteristic
1214C22×#41C22×D411yescharacteristic
1215C22×#41C22×D411yescharacteristic
1216C22×#41C22×D411yescharacteristic
1217C22×#41C22×D412yes—
1218C22×#41C22×D411yescharacteristic
1219C22×#41C2511yescharacteristic
1220C23×Q8C22×D411yescharacteristic
1221C23×D4#12012yes—
1222C23×D4#12012yes—
1223C23×D4C22×D412yes—
1224C23×D4C22×D412yes—
1225C23×D4C22×D412yes—
1226C23×D4C22×D412yes—
1227C23×D4C22×D412yes—
1228C23×D4C22×D412yes—
1229C23×D4C22×D412yes—
1230C23×D4C22×D411yescharacteristic
1231C23×D4C22×D412yes—
1232C23×D4C22×D412yes—
1233C23×D4C22×D412yes—
1234C23×D4C22×D412yes—
1235C23×D4C22×D412yes—
1236C23×D4C22×D412yes—
1237C23×D4C22×D411yescharacteristic
1238C23×D4C22×D412yes—
1239C23×D4C22×D412yes—
1240C23×D4C22×D411yescharacteristic
1241C23×D4C22×D411yescharacteristic
1242C23×D4C22×D411yescharacteristic
1243C23×D4C22×D412yes—
1244C23×D4C22×D412yes—
1245C23×D4C22×D412yes—
1246C23×D4C22×D412yes—
1247C23×D4C22×D412yes—
1248C23×D4C22×D412yes—
1249C23×D4C22×D412yes—
1250C23×D4C2512yes—
1251C23×D4C2511yescharacteristic
1252C23×D4C2511yescharacteristic
1253C24×C4C22×D411yescharacteristic
1254C24×C4C22×D412yes—
1255C24×C4C22×D412yes—
1256C24×C4C22×D412yes—
1257C24×C4C22×D412yes—
1258#560C22×D418yescomplemented
1259#559C22×D414yescomplemented
1260D42C22×D414yescomplemented
1261#534C22×D418yes—
1262#534H(5,𝔽2)18yes—
1263C2×C4⋊Q8C22×D411yescharacteristic
1264C2×C4⋊Q8C22×D412yes—
1265C2×C4⋊Q8C22×D412yes—
1266C2×#127#12011yescharacteristic
1267C2×#127#12011yescharacteristic
1268C2×#127C22×D414yes—
1269C2×#127C22×D411yescharacteristic
1270C2×#127C22×D411yescharacteristic
1271C2×#127C22×D412yes—
1272C2×#127C22×D412yes—
1273C2×#127C22×D411yescharacteristic
1274C2×#127C22×D411yescharacteristic
1275C2×#127C22×D411yescharacteristic
1276C2×#127C22×D411yescharacteristic
1277C2×#127C22×D412yes—
1278C2×#127C22×D412yes—
1279C2×#127H(5,𝔽2)14yes—
1280C2×#127C2511yescharacteristic
1281C2×#127C2511yescharacteristic
1282C2×#127C2511yescharacteristic
1283C2×#124#12011yescharacteristic
1284C2×#124#12011yescharacteristic
1285C2×#124C22×D412yes—
1286C2×#124C22×D411yescharacteristic
1287C2×#124C22×D412yes—
1288C2×#124C22×D412yes—
1289C2×#124C22×D411yescharacteristic
1290C2×#124C22×D411yescharacteristic
1291C2×#124C22×D411yescharacteristic
1292C2×#124C22×D411yescharacteristic
1293C2×#124C22×D412yes—
1294C2×#124C22×D412yes—
1295C2×#124C22×D412yes—
1296C2×#124C22×D412yes—
1297C2×#124C2512yes—
1298C2×#124C2511yescharacteristic
1299C2×#123#12011yescharacteristic
1300C2×#123#12011yescharacteristic
1301C2×#123#12012yes—
1302C2×#123#12012yes—
1303C2×#123#12012yes—
1304C2×#123C22×D412yes—
1305C2×#123C22×D412yes—
1306C2×#123C22×D412yes—
1307C2×#123C22×D412yes—
1308C2×#123C22×D412yes—
1309C2×#123C22×D412yes—
1310C2×#123C22×D412yes—
1311C2×#123C22×D412yes—
1312C2×#123C22×D412yes—
1313C2×#123C22×D412yes—
1314C2×#123C22×D412yes—
1315C2×#123C22×D412yes—
1316C2×#123C2512yes—
1317C2×#123C2512yes—
1318C2×C22⋊Q8#12012yes—
1319C2×C22⋊Q8C22×D412yes—
1320C2×C22⋊Q8C22×D412yes—
1321C2×C22⋊Q8C22×D412yes—
1322C2×C22⋊Q8C22×D412yes—
1323C2×#121#12012yes—
1324C2×#121#12012yes—
1325C2×#121#12012yes—
1326C2×#121#12012yes—
1327C2×#121#12012yes—
1328C2×#121#12012yes—
1329C2×#121#12012yes—
1330C2×#121C22×D412yes—
1331C2×#121C22×D412yes—
1332C2×#121C22×D412yes—
1333C2×#121C22×D412yes—
1334C2×#121C22×D412yes—
1335C2×#121C22×D412yes—
1336C2×#121C22×D412yes—
1337C2×#121C22×D412yes—
1338C2×#120#12012yes—
1339C2×#120#12011yescharacteristic
1340C2×#120#12012yes—
1341C2×#120#12012yes—
1342C2×#120#12012yes—
1343C2×#120#12012yes—
1344C2×#120#12012yes—
1345C2×#120#12012yes—
1346C2×#120#12012yes—
1347C2×#120#12012yes—
1348C2×#120#12012yes—
1349C2×#120#12012yes—
1350C2×#120#12011yescharacteristic
1351C2×#120C22×D412yes—
1352C2×#120C22×D412yes—
1353C2×#120C22×D412yes—
1354C2×#120C22×D412yes—
1355C2×#120C22×D412yes—
1356C2×#120C22×D412yes—
1357C2×#120C22×D412yes—
1358C2×#120C22×D412yes—
1359C2×#120C22×D412yes—
1360C2×#120C22×D412yes—
1361C2×#120C22×D412yes—
1362C2×#120C22×D412yes—
1363C2×#120C22×D412yes—
1364C2×#120C22×D412yes—
1365C2×#120C22×D412yes—
1366C2×#120C22×D412yes—
1367C2×#120C22×D412yes—
1368C2×#120C22×D412yes—
1369C2×#120C22×D412yes—
1370C2×#120C22×D412yes—
1371C2×#120C22×D412yes—
1372C2×#120C22×D412yes—
1373C2×#120C22×D412yes—
1374C2×#120C22×D412yes—
1375C2×#120C22×D412yes—
1376C2×#120C22×D412yes—
1377C2×#120C2512yes—
1378C2×#120C2512yes—
1379C2×#120C2512yes—
1380C2×#120C2512yes—
1381#518C2512yes—
1382C2×C4×D4#12012yes—
1383C2×C4×D4#12012yes—
1384C2×C4×D4C22×D412yes—
1385C2×C4×D4C22×D412yes—
1386C2×C4×D4C22×D412yes—
1387C2×C4×D4C22×D412yes—
1388C2×C4×D4C22×D412yes—
1389C2×C4×D4C22×D412yes—
1390C2×C4×D4C22×D412yes—
1391C2×C4×D4C2512yes—
1392C2×#117C22×D411yescharacteristic
1393C2×#117C22×D412yes—
1394C2×#117C22×D412yes—
1395C2×#117C22×D411yescharacteristic
1396C2×#117C22×D411yescharacteristic
1397C2×#117C22×D412yes—
1398C2×#117C22×D412yes—
1399C2×#117C22×D411yescharacteristic
1400C2×#117C22×D411yescharacteristic
1401C2×#117C22×D411yescharacteristic
1402C2×#117C22×D411yescharacteristic
1403C22×C4⋊C4C22×D412yes—
1404C22×C4⋊C4C22×D412yes—
1405C22×C22⋊C4#12012yes—
1406C22×C22⋊C4#12012yes—
1407C22×C22⋊C4C22×D412yes—
1408C22×C22⋊C4C22×D412yes—
1409C22×C22⋊C4C22×D412yes—
1410C22×C22⋊C4C22×D412yes—
1411C22×C22⋊C4C22×D412yes—
1412C22×C22⋊C4C22×D412yes—
1413C22×C22⋊C4C22×D412yes—
1414C22×C22⋊C4C22×D412yes—
1415C22×C22⋊C4C22×D412yes—
1416C22×C22⋊C4C22×D412yes—
1417C22×C22⋊C4C22×D412yes—
1418C22×C22⋊C4C22×D412yes—
1419C22×C22⋊C4C22×D412yes—
1420C22×C22⋊C4C22×D412yes—
1421C22×C22⋊C4C22×D412yes—
1422C22×C22⋊C4C22×D412yes—
1423C22×C22⋊C4C22×D412yes—
1424C22×C22⋊C4C22×D412yes—
1425C22×C22⋊C4C22×D412yes—
1426C22×C42C22×D411yescharacteristic
1427C22×C42C22×D411yescharacteristic
1428C22×C42C22×D411yescharacteristic
1429C22×C42C22×D411yescharacteristic
1430C22×C42C22×D412yes—
1431#458C22×D4116yes—
1432B(4,𝔽2)C22×D4116yes—
1433#453C22×D418yes—
1434#453C22×D418yes—
1435C2×#100C22×D414yes—
1436C2×#100C2512yes—
1437C2×#100C2512yes—
1438C2×#100C2512yes—
1439C2×#100C2512yes—
1440C2×#99C22×D418yes—
1441C2×#99C2514yes—
1442C2×#99C2514yes—
1443C2×#99C2514yes—
1444C2×#99C2514yes—
1445#391C22×D412yes—
1446#391C22×D412yes—
1447#391C22×D412yes—
1448#391C22×D412yes—
1449#390C22×D412yes—
1450#390C22×D412yes—
1451#390C22×D412yes—
1452#390C22×D412yes—
1453#390C22×D412yes—
1454#390C22×D412yes—
1455#390C22×D412yes—
1456#390C2512yes—
1457#386C22×D412yes—
1458#386C22×D412yes—
1459#386C22×D412yes—
1460#386C22×D412yes—
1461#386C22×D412yes—
1462#386C22×D412yes—
1463#386C22×D412yes—
1464#386C22×D412yes—
1465#386C22×D412yes—
1466#386C22×D412yes—
1467#386C2512yes—
1468#386C2512yes—
1469#385C22×D412yes—
1470#385C22×D412yes—
1471#385C22×D412yes—
1472#385C22×D412yes—
1473#384C22×D412yes—
1474#382C22×D412yes—
1475#381C22×D412yes—
1476#381C22×D412yes—
1477#381C22×D412yes—
1478#381C22×D412yes—
1479#381C22×D412yes—
1480#381C22×D412yes—
1481#380C22×D412yes—
1482#380C22×D412yes—
1483#380C22×D412yes—
1484#380C22×D412yes—
1485#379C22×D412yes—
1486#379C22×D412yes—
1487#379C22×D412yes—
1488#379C22×D412yes—
1489#379C22×D412yes—
1490#379C22×D412yes—
1491#379C22×D412yes—
1492#379C22×D412yes—
1493#379C22×D412yes—
1494#379C22×D412yes—
1495#379C22×D412yes—
1496#379C22×D412yes—
1497#379C22×D412yes—
1498#379C22×D412yes—
1499C4×C4⋊C4C22×D412yes—
1500C4×C4⋊C4C22×D412yes—
1501C4×C22⋊C4C22×D412yes—
1502C4×C22⋊C4C22×D412yes—
1503C4×C22⋊C4C22×D412yes—
1504C4×C22⋊C4C22×D412yes—
1505C4×C22⋊C4C22×D412yes—
1506C4×C22⋊C4C22×D412yes—
1507C4×C22⋊C4C22×D412yes—
1508C4×C22⋊C4C22×D412yes—
1509#376C22×D412yes—
1510C43C22×D412yes—
1511#353C22×D418yescomplemented
1512#353C22×D418yescomplemented
1513#352C22×D4116yescomplemented
1514AΣL(1,𝔽16)C22×D4116yescomplemented
1515C25C2×#12012yes—
1516C25C2×#12012yes—
1517C25C2×#12012yes—
1518C25C2×#12011yescharacteristic
1519C25C2×#12012yes—
1520C25C23×D412yes—
1521C25C23×D412yes—
1522C25C23×D412yes—
1523C25C23×D412yes—
1524C25C23×D412yes—
1525C25C23×D412yes—
1526C25C23×D412yes—
1527C25C23×D412yes—
1528H(5,𝔽2)C23×D414yes—
1529C22×Q8C2×#12011yescharacteristic
1530C22×Q8C23×D411yescharacteristic
1531C22×Q8C23×D412yes—
1532C22×Q8C23×D411yescharacteristic
1533C22×D4C2×#12012yes—
1534C22×D4C2×#12011yescharacteristic
1535C22×D4C2×#12012yes—
1536C22×D4C2×#12011yescharacteristic
1537C22×D4C2×#12012yes—
1538C22×D4C2×#12011yescharacteristic
1539C22×D4C2×#12012yes—
1540C22×D4C2×#12011yescharacteristic
1541C22×D4C2×#12012yes—
1542C22×D4C2×#12011yescharacteristic
1543C22×D4C2×#12012yes—
1544C22×D4C2×#12012yes—
1545C22×D4C2×#12012yes—
1546C22×D4C2×#12012yes—
1547C22×D4C2×#12012yes—
1548C22×D4C2×#12012yes—
1549C22×D4C2×#12012yes—
1550C22×D4C2×#12012yes—
1551C22×D4C2×#12012yes—
1552C22×D4C2×#12012yes—
1553C22×D4C2×#12012yes—
1554C22×D4C2×#12012yes—
1555C22×D4D4218yescomplemented
1556C22×D4D4214yescomplemented
1557C22×D4C23×D411yescharacteristic
1558C22×D4C23×D411yescharacteristic
1559C22×D4C23×D412yes—
1560C22×D4C23×D411yescharacteristic
1561C22×D4C23×D411yescharacteristic
1562C22×D4C23×D411yescharacteristic
1563C22×D4C23×D412yes—
1564C22×D4C23×D412yes—
1565C22×D4C23×D412yes—
1566C22×D4C23×D412yes—
1567C22×D4C23×D412yes—
1568C22×D4C23×D412yes—
1569C22×D4C2×H(5,𝔽2)12yes—
1570C22×D4C2×H(5,𝔽2)14yes—
1571C22×D4C2611yescharacteristic
1572C23×C4C2×#12011yescharacteristic
1573C23×C4C2×#12012yes—
1574C23×C4C2×#12012yes—
1575C23×C4C2×#12012yes—
1576C23×C4C2×#12012yes—
1577C23×C4C2×#12012yes—
1578C23×C4C23×D411yescharacteristic
1579C23×C4C23×D412yes—
1580C23×C4C23×D411yescharacteristic
1581C23×C4C23×D412yes—
1582C23×C4C23×D411yescharacteristic
1583C23×C4C23×D412yes—
1584C23×C4C23×D412yes—
1585C23×C4C23×D412yes—
1586C23×C4C23×D412yes—
1587C23×C4C23×D412yes—
1588C23×C4C23×D412yes—
1589#127D4214yescomplemented
1590#127D4214yescomplemented
1591#127C23×D412yes—
1592#127C23×D412yes—
1593#127C2×H(5,𝔽2)12yes—
1594#127C2×H(5,𝔽2)12yes—
1595#123D4218yescomplemented
1596#123C23×D414yes—
1597#123C2×H(5,𝔽2)14yes—
1598#120B(4,𝔽2)12yes—
1599#120B(4,𝔽2)12yes—
1600#120B(4,𝔽2)14yes—
1601#120D4218yescomplemented
1602#120C23×D414yes—
1603#120C2×H(5,𝔽2)14yes—
1604C2×C4⋊C4C2×#12012yes—
1605C2×C4⋊C4C2×#12012yes—
1606C2×C4⋊C4C2×#12012yes—
1607C2×C4⋊C4C2×#12012yes—
1608C2×C4⋊C4C2×#12012yes—
1609C2×C4⋊C4C23×D412yes—
1610C2×C4⋊C4C23×D412yes—
1611C2×C22⋊C4C2×#12011yescharacteristic
1612C2×C22⋊C4C2×#12012yes—
1613C2×C22⋊C4C2×#12012yes—
1614C2×C22⋊C4C2×#12012yes—
1615C2×C22⋊C4C2×#12012yes—
1616C2×C22⋊C4C2×#12012yes—
1617C2×C22⋊C4C2×#12012yes—
1618C2×C22⋊C4C2×#12012yes—
1619C2×C22⋊C4C2×#12012yes—
1620C2×C22⋊C4C2×#12012yes—
1621C2×C22⋊C4C2×#12012yes—
1622C2×C22⋊C4C2×#12012yes—
1623C2×C22⋊C4C2×#12012yes—
1624C2×C22⋊C4C2×#12012yes—
1625C2×C22⋊C4C2×#12012yes—
1626C2×C22⋊C4C2×#12012yes—
1627C2×C22⋊C4C2×#12012yes—
1628C2×C22⋊C4C2×#12012yes—
1629C2×C22⋊C4C2×#12012yes—
1630C2×C22⋊C4C2×#12011yescharacteristic
1631C2×C22⋊C4C2×#12012yes—
1632C2×C22⋊C4D4218yescomplemented
1633C2×C22⋊C4C23×D412yes—
1634C2×C22⋊C4C23×D412yes—
1635C2×C22⋊C4C23×D412yes—
1636C2×C22⋊C4C23×D412yes—
1637C2×C22⋊C4C23×D412yes—
1638C2×C22⋊C4C23×D412yes—
1639C2×C22⋊C4C23×D412yes—
1640C2×C22⋊C4C23×D412yes—
1641C2×C22⋊C4C23×D412yes—
1642C2×C22⋊C4C23×D412yes—
1643C2×C42C2×#12011yescharacteristic
1644C2×C42C2×#12011yescharacteristic
1645C2×C42D4214yescomplemented
1646C2×C42C23×D411yescharacteristic
1647C2×C42C23×D412yes—
1648C2×C42C23×D411yescharacteristic
1649C2×C42C23×D412yes—
1650C2×C42C23×D411yescharacteristic
1651C2×C42C23×D411yescharacteristic
1652C2×C42C23×D412yes—
1653#100C23×D414yes—
1654#99C23×D418yes—
1655C24C2×B(4,𝔽2)12yes—
1656C24C2×B(4,𝔽2)11yescharacteristic
1657C24C2×B(4,𝔽2)11yescharacteristic
1658C24C22×#12012yes—
1659C24C22×#12012yes—
1660C24C22×#12011yescharacteristic
1661C24C22×#12012yes—
1662C24C22×#12011yescharacteristic
1663C24C22×#12012yes—
1664C24C22×#12012yes—
1665C24C22×#12011yescharacteristic
1666C24C2×D4214yes—
1667C24C2×D4214yes—
1668C24#348414yes—
1669C24C24×D412yes—
1670C2×D4C2×B(4,𝔽2)12yes—
1671C2×D4C2×B(4,𝔽2)12yes—
1672C2×D4C2×B(4,𝔽2)14yes—
1673C2×D4C2×B(4,𝔽2)14yes—
1674C2×D4C2×D4212yes—
1675C2×D4C2×D4212yes—
1676C2×D4C2×D4212yes—
1677C2×D4C2×D4214yes—
1678C2×D4#348412yes—
1679C2×D4#348414yes—
1680C2×D4C24×D411yescharacteristic
1681C2×D4C22×H(5,𝔽2)12yes—
1682C2×D4C22×H(5,𝔽2)11yescharacteristic
1683C22×C4C22×#12012yes—
1684C22×C4C22×#12011yescharacteristic
1685C22×C4C22×#12012yes—
1686C22×C4C22×#12011yescharacteristic
1687C22×C4C22×#12011yescharacteristic
1688C22×C4C22×#12012yes—
1689C22×C4C22×#12012yes—
1690C22×C4C22×#12012yes—
1691C22×C4C22×#12012yes—
1692C22×C4C2×D4212yes—
1693C22×C4C2×D4214yes—
1694C22×C4#348412yes—
1695C22×C4C24×D411yescharacteristic
1696C22⋊C4C2×B(4,𝔽2)12yes—
1697C22⋊C4C2×B(4,𝔽2)12yes—
1698C22⋊C4C2×B(4,𝔽2)14yes—
1699C22⋊C4C2×B(4,𝔽2)14yes—
1700C22⋊C4C2×D4214yes—
1701C22⋊C4C2×D4214yes—
1702C42C2×D4212yes—
1703C42C2×D4212yes—
1704C23D4×#12014yes—
1705C23D4×#12012yes—
1706C23C22×B(4,𝔽2)12yes—
1707C23C22×B(4,𝔽2)12yes—
1708C23C22×B(4,𝔽2)12yes—
1709C23C22×B(4,𝔽2)11yescharacteristic
1710C23C22×B(4,𝔽2)11yescharacteristic
1711C23#6039912yes—
1712C23C23×#12011yescharacteristic
1713C23C22×D4212yes—
1714C23C2×#348412yes—
1715C2×C4D4×#12012yes—
1716C2×C4C22×B(4,𝔽2)14yes—
1717C2×C4C22×B(4,𝔽2)12yes—
1718C2×C4C22×D4211yescharacteristic
1719C2×C4C2×#348411yescharacteristic
1720C22D4×B(4,𝔽2)12yes—
1721C22D4×B(4,𝔽2)12yes—
1722C22C2×D4×#12011yescharacteristic
1723C22C23×B(4,𝔽2)11yescharacteristic
1724C22C2×#6039911yescharacteristic
1725C2#7223484012yes—
1726C2C2×D4×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22C23×B(4,𝔽2)
commutator, Frattini, cosocleC22×D4C26
LCSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#120 ◁ C2×#3484 ◁ G
LECSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72318861C2semidirect
2. #72318859C2semidirect
3. #72318477C2semidirect
4. #72318383C2semidirect
5. #72318358C2semidirect
6. #72318235C2semidirect
7. #72318220C2semidirect
8. #72318133C2semidirect
9. #72318073C2semidirect
10. #72317998C2semidirect
11. #72317809C2semidirect
12. #72317592C2semidirect
13. #72312526C2semidirect
14. #72312509C2semidirect
15. #72311872C2semidirect
16. #72311471C2semidirect
17. #72306397C2semidirect
18. #72286068C2semidirect
19. #72286067C2semidirect
20. #72285829C2semidirect
21. #72257999C2semidirect
22. #72249469C2semidirect
23. #72249466C2semidirect
24. C2×#7622875C2semidirect
25. #72240656C2semidirect
26. C2×#501097C2semidirect
27. C2×#499832C2semidirect
28. #72234531C2semidirect
29. C2×#7622880C2semidirect
30. #72233522C2semidirect
31. #72233116C2semidirect
32. C2×#63011C22semidirect
33. C2×#62862C22semidirect
34. #10586066C22semidirect
35. C2×#60399C22semidirect
36. C22×#3026C22semidirect
37. C2×#60388C22semidirect
38. C22×#3019C22semidirect
39. #8070012C22semidirect
40. #8069760C22semidirect
41. #8063818C22semidirect
42. #8062966C22semidirect
43. #8058696C22semidirect
44. #8040645C22semidirect
45. #7988408C22semidirect
46. #7967779C22semidirect
47. #7823086C22semidirect
48. #7811879C22semidirect
49. #7763449C22semidirect
50. #7743196C22semidirect
51. #7737413C22semidirect
52. C2×#52004C22semidirect
55. #7627598C22semidirect
56. C2×#33559C22semidirect
57. C2×#33558C22semidirect
58. C2×#33558C22semidirect
59. C2×#33558C22semidirect
61. C2×#33557C22semidirect
62. C2×#33557C22semidirect
63. C2×#33557C22semidirect
64. C2×#33557C22semidirect
65. C2×#33557C22semidirect
66. C2×#33557C22semidirect
67. C2×#33553C22semidirect
68. C2×#33552C22semidirect
69. C2×#33552C22semidirect
70. C2×#33551C22semidirect
71. C2×#33551C22semidirect
72. C2×#33551C22semidirect
73. C2×#33551C22semidirect
74. C2×#33551C22semidirect
75. C2×#33551C22semidirect
76. C2×#33546C22semidirect
77. C22×#2196C22semidirect
78. C22×#2196C22semidirect
79. C22×#2196C22semidirect
80. C22×#2196C22semidirect
81. C2×#33359C22semidirect
82. C22×#2127C22semidirect
83. C2×#33348C22semidirect
84. C22×#2121C22semidirect
85. #6628987C22semidirect
86. #6628974C22semidirect
87. #6628900C22semidirect
88. C2×#32898C22semidirect
89. #6628873C22semidirect
90. #6628867C22semidirect
91. #6573726C22semidirect
92. #6573724C22semidirect
93. #6573721C22semidirect
94. #6573719C22semidirect
95. #6573716C22semidirect
96. #6573715C22semidirect
97. #6573713C22semidirect
98. D4×B(4,𝔽2)C22semidirect
99. #6573689C22semidirect
100. #6573687C22semidirect
101. #6573676C22semidirect
102. #6573671C22semidirect
103. #6443353C22semidirect
104. #6443333C22semidirect
105. #6442732C22semidirect
106. #6442565C22semidirect
107. #6438003C22semidirect
108. C2×#24404C22semidirect
109. #6437978C22semidirect
110. #6437963C22semidirect
111. #6437632C22semidirect
112. #6437621C22semidirect
113. #6437456C22semidirect
114. C2×#23912C22semidirect
115. #6379025C22semidirect
116. #6379010C22semidirect
117. #6372733C22semidirect
118. #6372713C22semidirect
119. #511941C22semidirect
120. #511938C22semidirect
121. #511918C22semidirect
122. #511912C22semidirect
123. #511787C22semidirect
124. #511785C22semidirect
125. #511781C22semidirect
126. #511780C22semidirect
127. #511780C22semidirect
128. #511779C22semidirect
129. #511779C22semidirect
130. #511779C22semidirect
131. #511774C22semidirect
132. #511771C22semidirect
133. #503241C22semidirect
134. #503239C22semidirect
135. #503238C22semidirect
136. #503236C22semidirect
137. #503206C22semidirect
138. #503206C22semidirect
139. #503198C22semidirect
140. #503194C22semidirect
141. #503192C22semidirect
142. #503189C22semidirect
143. #503187C22semidirect
144. #503184C22semidirect
145. #501184C22semidirect
146. #501183C22semidirect
147. #501181C22semidirect
148. #501180C22semidirect
149. #501176C22semidirect
150. #501174C22semidirect
151. #501173C22semidirect
152. #501173C22semidirect
153. #501169C22semidirect
154. #501167C22semidirect
155. #501164C22semidirect
156. #501164C22semidirect
157. #501161C22semidirect
158. #501158C22semidirect
159. #501157C22semidirect
160. #501156C22semidirect
161. #501099C22semidirect
162. #501098C22semidirect
163. #501097C22semidirect
164. #501097C22semidirect
165. #501097C22semidirect
166. #501097C22semidirect
167. #501097C22semidirect
168. #501096C22semidirect
169. #501091C22semidirect
170. #501090C22semidirect
171. #500826C22semidirect
172. #500824C22semidirect
173. #500823C22semidirect
174. #500821C22semidirect
175. #500781C22semidirect
176. #500781C22semidirect
177. #500773C22semidirect
178. #500769C22semidirect
179. #500767C22semidirect
180. #500764C22semidirect
181. #500762C22semidirect
182. #500759C22semidirect
183. #499850C22semidirect
184. #499849C22semidirect
185. #499834C22semidirect
186. #499833C22semidirect
187. #499832C22semidirect
188. #499832C22semidirect
189. #499832C22semidirect
190. #499832C22semidirect
191. #499832C22semidirect
192. #499831C22semidirect
193. #499817C22semidirect
194. #499815C22semidirect
195. #499812C22semidirect
196. #499811C22semidirect
197. #499807C22semidirect
198. #499807C22semidirect
199. #499805C22semidirect
200. #499804C22semidirect
201. #499801C22semidirect
202. #499800C22semidirect
203. #499795C22semidirect
204. #499795C22semidirect
205. #499792C22semidirect
206. #499791C22semidirect
207. #499789C22semidirect
208. #499787C22semidirect
209. #499141C22semidirect
210. C2×#13424C22semidirect
211. #499096C22semidirect
212. #498931C22semidirect
213. #498931C22semidirect
214. #498931C22semidirect
215. C2×#13348C22semidirect
216. C2×#13348C22semidirect
217. C2×#13348C22semidirect
218. #498886C22semidirect
219. #498886C22semidirect
220. #498886C22semidirect
221. #497362C22semidirect
222. #497361C22semidirect
223. #497357C22semidirect
224. #497356C22semidirect
225. #497355C22semidirect
226. #497353C22semidirect
227. #497306C22semidirect
228. #497305C22semidirect
229. #497295C22semidirect
230. #497294C22semidirect
231. #497290C22semidirect
232. D4×AΣL(1,𝔽16)C22semidirect
233. #495774C22semidirect
234. #495771C22semidirect
235. #495751C22semidirect
236. C4×#2200C22semidirect
237. #495178C22semidirect
238. #495166C22semidirect
239. #495154C22semidirect
240. #494718C22semidirect
241. #494713C22semidirect
242. #494703C22semidirect
243. C2×#13086C22semidirect
244. #494685C22semidirect
245. C2×#13082C22semidirect
246. C2×#13049C22semidirect
247. C2×#13049C22semidirect
248. C2×#13049C22semidirect
249. #494579C22semidirect
250. #494579C22semidirect
251. #494579C22semidirect
252. C2×#12966C22semidirect
253. #494353C22semidirect
254. #493711C22semidirect
255. #493702C22semidirect
256. #493632C22semidirect
257. #493629C22semidirect
258. #493629C22semidirect
259. #493582C22semidirect
260. C2×#12759C22semidirect
261. #493430C22semidirect
262. #493424C22semidirect
263. C2×#12696C22semidirect
264. #493357C22semidirect
265. #493034C22semidirect
266. #492994C22semidirect
268. C23×H(5,𝔽2)C23semidirect
269. #62987C23semidirect
270. D4×H(5,𝔽2)C23semidirect
272. #62842C23semidirect
274. C2×#3485D4semidirect
277. C2×#3484C23semidirect
278. C2×#3549C23semidirect
282. C2×#3543C23semidirect
283. C2×#3533C23semidirect
284. C2×#3533C23semidirect
285. C2×#3537C23semidirect
287. C2×#3532C23semidirect
288. C2×#3532C23semidirect
289. C2×#3532C23semidirect
290. C2×#3481C23semidirect
291. C22×D42D4semidirect
293. C22×D42C23semidirect
296. #62652C23semidirect
302. C2×#3026C23semidirect
303. C2×#3026C23semidirect
304. C2×#3026C23semidirect
305. C2×#3026C23semidirect
306. C2×#3026C23semidirect
308. C22×#458C23semidirect
313. C22×B(4,𝔽2)C23semidirect
320. C2×#3019C23semidirect
322. C22×#455C23semidirect
323. C22×#455C23semidirect
324. C22×#455C23semidirect
330. C23×#100C23semidirect
332. C23×#99C23semidirect
333. #59816C23semidirect
334. #59802C23semidirect
335. #59420C23semidirect
336. #59375C23semidirect
337. #59191C23semidirect
338. #59179C23semidirect
339. #59006C23semidirect
340. #58990C23semidirect
342. #52054C23semidirect
343. #52054C23semidirect
344. #52031C23semidirect
345. #52031C23semidirect
346. #52004C23semidirect
347. #52004C23semidirect
348. #52004C23semidirect
349. #52004C23semidirect
350. #52004C23semidirect
351. #52004C23semidirect
352. #51060C23semidirect
353. #50887C23semidirect
354. #50867C23semidirect
355. #50856C23semidirect
356. #50856C23semidirect
357. #50646C23semidirect
358. #50165C23semidirect
359. #49562C23semidirect
360. #48812C23semidirect
361. #47929C23semidirect
362. #47848C23semidirect
363. #47827C23semidirect
364. #46324C23semidirect
365. #46276C23semidirect
366. #45490C23semidirect
367. #45479C23semidirect
368. #45455C23semidirect
369. #45453C23semidirect
370. #45439C23semidirect
371. #45439C23semidirect
372. #39362D4semidirect
374. #39355D4semidirect
376. #39336D4semidirect
378. #39332D4semidirect
380. #37682D4semidirect
382. #37674D4semidirect
384. #37652D4semidirect
386. #37646D4semidirect
388. #37645D4semidirect
390. #37644D4semidirect
394. #36099D4semidirect
396. D4×#120D4semidirect
400. #35528D4semidirect
401. #35527D4semidirect
402. #35390D4semidirect
403. #35358D4semidirect
406. #35329D4semidirect
407. #35327D4semidirect
409. #35149D4semidirect
410. #34984D4semidirect
411. #34980D4semidirect
412. #34980D4semidirect
413. C2×#2410D4semidirect
415. #34633D4semidirect
416. #34520C23semidirect
417. #34510C23semidirect
418. #34468C23semidirect
420. C4×#560C23semidirect
424. #34198D4semidirect
425. #34065D4semidirect
426. #33557D4semidirect
427. C2×#2201C23semidirect
428. C2×#2201C23semidirect
429. C2×#2201C23semidirect
433. C2×#2200C23semidirect
434. C2×#2200C23semidirect
435. C2×#2200C23semidirect
436. C2×#2200C23semidirect
437. C2×#2200C23semidirect
438. C2×#2200C23semidirect
440. C2×#2199C23semidirect
441. C2×#2199C23semidirect
442. C2×#2199C23semidirect
443. C2×#2199C23semidirect
444. C2×#2199C23semidirect
446. C2×#2198C23semidirect
447. C2×#2198C23semidirect
448. C2×#2198C23semidirect
449. C2×#2198C23semidirect
450. C2×#2198C23semidirect
452. C2×#2197C23semidirect
453. C2×#2197C23semidirect
454. C2×#2197C23semidirect
455. C2×#2197C23semidirect
456. C2×#2197C23semidirect
457. C2×#2197C23semidirect
458. C2×#2197C23semidirect
459. C2×#2197C23semidirect
465. C2×#2196C23semidirect
466. C2×#2196C23semidirect
467. C2×#2196C23semidirect
468. C2×#2196C23semidirect
469. C2×#2196C23semidirect
470. C2×#2196C23semidirect
471. C2×#2196C23semidirect
472. C2×#2196C23semidirect
473. C2×#2196C23semidirect
474. C2×#2196C23semidirect
475. C2×#2196C23semidirect
476. C2×#2196C23semidirect
477. C2×#2196C23semidirect
478. C2×#2128C23semidirect
481. C2×#2127C23semidirect
482. C2×#2127C23semidirect
483. C2×#2127C23semidirect
484. C2×#2126C23semidirect
485. C22×#354C23semidirect
486. C22×#354C23semidirect
491. C22×#353C23semidirect
492. C2×#2122C23semidirect
497. C2×#2121C23semidirect
498. C2×#2121C23semidirect
499. C2×#2121C23semidirect
500. C2×#2121C23semidirect
501. C2×#2121C23semidirect
502. C2×#2121C23semidirect
503. C2×#2121C23semidirect
504. C2×#2120C23semidirect
505. C22×#352C23semidirect
510. C22×AΣL(1,𝔽16)C23semidirect
511. C22×AΣL(1,𝔽16)C23semidirect
513. #32928C23semidirect
515. #32926C23semidirect
516. #32924C23semidirect
517. #32922C23semidirect
518. #32901C23semidirect
519. #32900C23semidirect
520. #32899C23semidirect
523. #32898C23semidirect
524. #32898C23semidirect
525. #32898C23semidirect
526. #32893C23semidirect
527. #32891C23semidirect
528. #32891C23semidirect
529. #32888C23semidirect
531. #25773C23semidirect
533. #25771C23semidirect
534. #25743C23semidirect
535. #25738C23semidirect
536. #24415C23semidirect
537. #24413C23semidirect
538. #24413C23semidirect
539. #24412C23semidirect
540. #24407C23semidirect
541. #24406C23semidirect
542. #24405C23semidirect
545. #24404C23semidirect
546. #24404C23semidirect
547. #24404C23semidirect
548. #24263C23semidirect
549. #24262C23semidirect
550. #24261C23semidirect
551. #24260C23semidirect
553. #24222C23semidirect
557. #23912C23semidirect
562. #23903C23semidirect
563. #23903C23semidirect
565. #23901C23semidirect
567. #23900C23semidirect
568. #22408C23semidirect
569. D4×#100C23semidirect
570. #22405C23semidirect
571. #22405C23semidirect
572. D4×#99C23semidirect
573. D4×#99C23semidirect
574. #21482C23semidirect
575. #21481C23semidirect
576. C4×#458C23semidirect
577. C4×B(4,𝔽2)C23semidirect
579. C4×#453C23semidirect
581. #20960C23semidirect
585. C2×#1885C23semidirect
586. C2×#1867C23semidirect
587. #20856C23semidirect
588. #20638C23semidirect
589. #20633C23semidirect
590. #20616C23semidirect
591. #20616C23semidirect
592. #20616C23semidirect
593. C2×#1790C23semidirect
594. C2×#1790C23semidirect
595. C2×#1790C23semidirect
597. C2×#1783C23semidirect
599. C2×#1781C23semidirect
600. #20398C23semidirect
601. #20392C23semidirect
602. #13425C23semidirect
603. #13424C23semidirect
604. #13424C23semidirect
605. #13424C23semidirect
606. #13424C23semidirect
607. #13424C23semidirect
608. #13423C23semidirect
609. #13422C23semidirect
610. #13420C23semidirect
611. #13420C23semidirect
612. #13419C23semidirect
613. #13419C23semidirect
614. #13349C23semidirect
615. #13349C23semidirect
616. #13349C23semidirect
619. #13348C23semidirect
620. #13348C23semidirect
621. #13348C23semidirect
622. #13348C23semidirect
623. #13348C23semidirect
624. #13348C23semidirect
625. #13348C23semidirect
626. #13348C23semidirect
627. #13348C23semidirect
628. #13348C23semidirect
629. #13348C23semidirect
630. #13348C23semidirect
631. #13348C23semidirect
632. #13347C23semidirect
633. #13347C23semidirect
634. #13347C23semidirect
635. #13346C23semidirect
636. #13346C23semidirect
637. #13346C23semidirect
639. #13344C23semidirect
640. #13344C23semidirect
641. #13344C23semidirect
642. #13344C23semidirect
643. #13344C23semidirect
645. #13343C23semidirect
646. #13343C23semidirect
647. #13343C23semidirect
648. #13343C23semidirect
649. #13343C23semidirect
650. #13225C23semidirect
651. #13225C23semidirect
652. #13224C23semidirect
653. #13224C23semidirect
654. #13222C23semidirect
655. #13222C23semidirect
656. #13221C23semidirect
657. #13221C23semidirect
658. #13219C23semidirect
659. #13219C23semidirect
660. #13218C23semidirect
661. #13218C23semidirect
662. #13091C23semidirect
663. #13091C23semidirect
664. #13090C23semidirect
665. #13090C23semidirect
666. #13090C23semidirect
667. #13090C23semidirect
668. #13088C23semidirect
669. #13088C23semidirect
670. #13087C23semidirect
671. #13086C23semidirect
672. #13086C23semidirect
673. #13086C23semidirect
674. #13086C23semidirect
675. #13086C23semidirect
676. #13085C23semidirect
677. #13084C23semidirect
678. #13083C23semidirect
679. #13082C23semidirect
680. #13082C23semidirect
681. #13082C23semidirect
682. #13082C23semidirect
683. #13082C23semidirect
684. #13081C23semidirect
685. #13080C23semidirect
687. #13049C23semidirect
688. #13049C23semidirect
689. #13049C23semidirect
690. #13049C23semidirect
691. #13049C23semidirect
692. #13049C23semidirect
693. #13049C23semidirect
694. #13049C23semidirect
695. #13044C23semidirect
696. #13044C23semidirect
697. #13044C23semidirect
698. #13043C23semidirect
699. #13043C23semidirect
700. #13043C23semidirect
701. #13042C23semidirect
702. #13042C23semidirect
703. #13042C23semidirect
704. #13041C23semidirect
705. #13041C23semidirect
706. #13041C23semidirect
707. #12966C23semidirect
708. #12966C23semidirect
709. #12966C23semidirect
710. #12961C23semidirect
711. #12960C23semidirect
712. #12959C23semidirect
713. #12958C23semidirect
714. #12799C23semidirect
715. #12797C23semidirect
716. #12796C23semidirect
717. #12795C23semidirect
718. #12794C23semidirect
719. #12793C23semidirect
720. #12764C23semidirect
721. #12763C23semidirect
722. #12763C23semidirect
723. #12762C23semidirect
724. #12762C23semidirect
725. #12762C23semidirect
726. #12761C23semidirect
727. #12761C23semidirect
728. #12761C23semidirect
729. #12760C23semidirect
730. #12760C23semidirect
731. #12759C23semidirect
732. #12759C23semidirect
733. #12759C23semidirect
734. #12759C23semidirect
735. #12759C23semidirect
736. #12759C23semidirect
737. #12697C23semidirect
738. #12696C23semidirect
739. #12696C23semidirect
740. #12696C23semidirect
741. #12695C23semidirect
742. #12693C23semidirect
743. #12691C23semidirect
744. #12690C23semidirect
745. #12690C23semidirect
746. #12690C23semidirect
747. #12689C23semidirect
748. #12688C23semidirect
749. #12687C23semidirect
750. #12687C23semidirect
751. #12628C23semidirect
752. C4×#353C23semidirect
753. #12622C23semidirect
754. #12621C23semidirect
755. C4×#352C23semidirect
756. C4×AΣL(1,𝔽16)C23semidirect
757. #12582C23semidirect
758. #12582C23semidirect
759. C2×#1390C23semidirect
760. C2×#1390C23semidirect
761. C2×#1390C23semidirect
762. C2×#1390C23semidirect
764. C22×H(5,𝔽2)C2×D4semidirect
771. C23×#41C2×D4semidirect
772. C24×D4C2×D4semidirect
773. C24×D4C2×D4semidirect
774. C24×D4C2×D4semidirect
775. C24×D4C2×D4semidirect
777. #3543C2×D4semidirect
793. C2×#547C2×D4semidirect
794. C2×#547C2×D4semidirect
798. C2×#546C2×D4semidirect
799. C2×#546C2×D4semidirect
811. C2×#536C2×D4semidirect
812. C2×#536C2×D4semidirect
813. C2×#536C2×D4semidirect
816. C2×#535C2×D4semidirect
817. C2×#535C2×D4semidirect
818. C2×#535C2×D4semidirect
819. C2×#535C2×D4semidirect
820. C2×#535C2×D4semidirect
821. C2×#535C2×D4semidirect
822. C2×#535C2×D4semidirect
831. C2×#534C2×D4semidirect
832. C2×#534C2×D4semidirect
833. C2×#534C2×D4semidirect
834. C2×#534C2×D4semidirect
835. C2×#534C2×D4semidirect
836. C2×#534C2×D4semidirect
837. C2×#534C2×D4semidirect
843. C2×#532C2×D4semidirect
844. C2×#532C2×D4semidirect
846. C22×#127C2×D4semidirect
847. C22×#127C2×D4semidirect
848. C22×#127C2×D4semidirect
851. C22×#124C2×D4semidirect
855. C2×#525C2×D4semidirect
856. C2×#525C2×D4semidirect
858. C22×#123C2×D4semidirect
860. C22×#121C2×D4semidirect
861. C22×#121C2×D4semidirect
862. C22×#121C2×D4semidirect
863. C22×#121C2×D4semidirect
866. C22×#120C2×D4semidirect
867. C22×#120C2×D4semidirect
868. C22×#120C2×D4semidirect
869. C22×#120C2×D4semidirect
870. C22×#120C2×D4semidirect
871. C22×#120C2×D4semidirect
872. C22×#120C2×D4semidirect
877. C2×#518C2×D4semidirect
878. C2×#518C2×D4semidirect
881. C2×C4×#41C2×D4semidirect
882. C22×C4×D4C2×D4semidirect
883. C22×C4×D4C2×D4semidirect
884. C22×#117C2×D4semidirect
885. C23×C22⋊C4C2×D4semidirect
886. #3026C2×D4semidirect
911. C2×#453C2×D4semidirect
936. #2858C2×D4semidirect
937. #2858C2×D4semidirect
938. #2854C2×D4semidirect
939. #2854C2×D4semidirect
940. #2850C2×D4semidirect
941. #2850C2×D4semidirect
942. #2849C2×D4semidirect
943. #2849C2×D4semidirect
944. #2849C2×D4semidirect
945. #2849C2×D4semidirect
946. #2847C2×D4semidirect
947. #2847C2×D4semidirect
948. #2846C2×D4semidirect
949. #2846C2×D4semidirect
950. #2846C2×D4semidirect
951. #2846C2×D4semidirect
964. #2658C2×D4semidirect
965. #2657C2×D4semidirect
966. #2621C2×D4semidirect
967. #2620C2×D4semidirect
968. #2620C2×D4semidirect
969. #2620C2×D4semidirect
970. #2620C2×D4semidirect
971. #2619C2×D4semidirect
972. #2618C2×D4semidirect
973. #2618C2×D4semidirect
974. #2617C2×D4semidirect
975. #2617C2×D4semidirect
976. #2613C2×D4semidirect
977. #2613C2×D4semidirect
978. #2613C2×D4semidirect
979. #2613C2×D4semidirect
980. #2613C2×D4semidirect
981. #2613C2×D4semidirect
982. #2613C2×D4semidirect
983. #2613C2×D4semidirect
984. #2547C2×D4semidirect
986. #2544C2×D4semidirect
987. #2544C2×D4semidirect
988. #2544C2×D4semidirect
990. #2541C2×D4semidirect
991. #2541C2×D4semidirect
992. #2539C2×D4semidirect
993. #2539C2×D4semidirect
994. #2539C2×D4semidirect
995. #2539C2×D4semidirect
996. #2534C2×D4semidirect
997. #2534C2×D4semidirect
1000. #2435C2×D4semidirect
1001. #2435C2×D4semidirect
1004. #2433C2×D4semidirect
1005. #2433C2×D4semidirect
1006. #2433C2×D4semidirect
1007. #2433C2×D4semidirect
1008. #2433C2×D4semidirect
1009. #2433C2×D4semidirect
1010. #2433C2×D4semidirect
1012. #2432C2×D4semidirect
1013. #2432C2×D4semidirect
1014. #2432C2×D4semidirect
1016. #2431C2×D4semidirect
1017. #2431C2×D4semidirect
1018. #2431C2×D4semidirect
1019. #2431C2×D4semidirect
1020. #2413C2×D4semidirect
1021. #2413C2×D4semidirect
1022. #2412C2×D4semidirect
1023. #2412C2×D4semidirect
1024. #2411C2×D4semidirect
1025. #2411C2×D4semidirect
1026. #2410C2×D4semidirect
1027. #2410C2×D4semidirect
1028. #2410C2×D4semidirect
1029. #2410C2×D4semidirect
1030. #2410C2×D4semidirect
1031. #2410C2×D4semidirect
1032. #2410C2×D4semidirect
1033. #2410C2×D4semidirect
1034. #2410C2×D4semidirect
1035. #2410C2×D4semidirect
1036. #2408C2×D4semidirect
1037. #2408C2×D4semidirect
1040. #2406C2×D4semidirect
1042. #2405C2×D4semidirect
1044. #2404C2×D4semidirect
1046. #2403C2×D4semidirect
1047. #2403C2×D4semidirect
1048. #2403C2×D4semidirect
1049. #2403C2×D4semidirect
1050. #2403C2×D4semidirect
1063. #2342C2×D4semidirect
1064. #2342C2×D4semidirect
1065. #2342C2×D4semidirect
1066. #2342C2×D4semidirect
1067. D4×C22⋊C4C2×D4semidirect
1068. D4×C22⋊C4C2×D4semidirect
1069. D4×C22⋊C4C2×D4semidirect
1070. D4×C22⋊C4C2×D4semidirect
1071. #2328C2×D4semidirect
1073. #2322C2×D4semidirect
1075. #2321C2×D4semidirect
1077. #2315C2×D4semidirect
1078. #2310C2×D4semidirect
1079. #2309C2×D4semidirect
1080. #2309C2×D4semidirect
1082. #2308C2×D4semidirect
1083. #2308C2×D4semidirect
1084. #2308C2×D4semidirect
1085. C4×#127C2×D4semidirect
1087. C4×#123C2×D4semidirect
1089. C4×#120C2×D4semidirect
1091. #2297C2×D4semidirect
1092. #2297C2×D4semidirect
1093. #2297C2×D4semidirect
1094. #2296C2×D4semidirect
1095. #2293C2×D4semidirect
1096. #2293C2×D4semidirect
1097. #2290C2×D4semidirect
1098. #2290C2×D4semidirect
1099. C2×#386C2×D4semidirect
1100. C2×#386C2×D4semidirect
1102. C2×#385C2×D4semidirect
1103. #2285C2×D4semidirect
1104. #2280C2×D4semidirect
1105. C2×#379C2×D4semidirect
1106. C2×#379C2×D4semidirect
1107. #2273C2×D4semidirect
1108. C4×#117C2×D4semidirect
1109. #2200C2×D4semidirect
1110. #2198C2×D4semidirect
1111. #2196C2×D4semidirect
1118. C2×#353C2×D4semidirect
1129. #2121C2×D4semidirect
1258. #560C22×D4semidirect
1259. #559C22×D4semidirect
1260. D42C22×D4semidirect
1511. #353C22×D4semidirect
1512. #353C22×D4semidirect
1513. #352C22×D4semidirect
1514. AΣL(1,𝔽16)C22×D4semidirect
1555. C22×D4D42semidirect
1556. C22×D4D42semidirect
1589. #127D42semidirect
1590. #127D42semidirect
1595. #123D42semidirect
1601. #120D42semidirect
1632. C2×C22⋊C4D42semidirect
1645. C2×C42D42semidirect

Maximal subgroups

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

subgroupindex
#723188612
#723188592
#723184772
#723183832
#723183582
#723182352
#723182202
#723181332
#723180732
#723179982
#723178092
#723175922
#723125262
#723125092
#723118722
#723114712
#723063972
#722860682
#722860672
#722858292
#722579992
#722494692
#722494662
C2×#76228752
#722406562
C2×#5010972
C2×#4998322
#722345312
C2×#76228802
#722335222
#722331162