Finite Group Databasebeta

← #26005178

Subgroups — #26005178

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148516C212yesmaximal, complemented
2#19148512C212yesmaximal, complemented
3#19148508C211yesmaximal, characteristic, complemented
4#19148506C211yesmaximal, characteristic, complemented
5#19148502C211yesmaximal, characteristic, complemented
6#19148487C214yesmaximal, complemented
7#19148474C212yesmaximal, complemented
8#19148464C212yesmaximal, complemented
9#19148458C212yesmaximal, complemented
10#19148450C212yesmaximal, complemented
11#19148445C212yesmaximal, complemented
12#19148437C212yesmaximal, complemented
13#19148431C214yesmaximal, complemented
14#19148424C214yesmaximal, complemented
15#19148189C214yesmaximal, complemented
16#19148185C214yesmaximal, complemented
17#19148161C212yesmaximal, complemented
18#19148158C212yesmaximal, complemented
19#19148156C212yesmaximal, complemented
20#19148152C212yesmaximal, complemented
21#19147982C214yesmaximal, complemented
22#19147923C212yesmaximal, complemented
23#19147892C212yesmaximal, complemented
24#19147890C212yesmaximal, complemented
25C2×#14583454C211yesmaximal, characteristic, complemented
26#532×D43C211yesmaximal, characteristic, complemented
27#19147795C212yesmaximal, complemented
28C4×#41×D43C211yesmaximal, characteristic, complemented
29C43×#3511C211yesmaximal, characteristic, complemented
30C2×#41×D43C2212yes—
31C2×#41×D43C2211yescharacteristic
32#14583633C2218yescomplemented
33#14583632C2214yescomplemented
34#14583631C2218yescomplemented
35#14583631C2214yescomplemented
36#14583626C2214yescomplemented
37#14583625C2214yescomplemented
38#14583623C2212yescomplemented
39#14583622C2212yescomplemented
40#14583620C2214yescomplemented
41#14583620C2218yescomplemented
42#14583619C2212yescomplemented
43#14583617C2214yescomplemented
44#14583616C2218yescomplemented
45#14583615C2212yescomplemented
46#14583614C2212yescomplemented
47#14583614C2212yescomplemented
48#14583610C2212yescomplemented
49#14583609C2212yescomplemented
50#14583606C2212yescomplemented
51#14583601C2214yescomplemented
52#14583601C2218yescomplemented
53#14583601C2214yescomplemented
54#14583598C2218yescomplemented
55#14583597C2214yescomplemented
56#14583597C2214yescomplemented
57#14583596C2214yescomplemented
58#14583595C2218yescomplemented
59#14583595C2214yescomplemented
60#14583593C2214yescomplemented
61#14583592C2218yescomplemented
62#14583591C2214yescomplemented
63#14583590C2214yescomplemented
64#14583588C2214yescomplemented
65#14583588C2214yescomplemented
66#14583587C2214yescomplemented
67#14583584C2214yescomplemented
68#14583583C2214yescomplemented
69#14583583C2214yescomplemented
70#14583579C2218yescomplemented
71#14583576C2218yescomplemented
72#14583574C2218yescomplemented
73#14583572C2218yescomplemented
74#14583568C2214yescomplemented
75#14583567C2214yescomplemented
76#14583560C2214yescomplemented
77#14583558C2214yescomplemented
78#14583555C2214yescomplemented
79#14583554C2212yescomplemented
80#14583553C2212yescomplemented
81#14583552C2212yescomplemented
82#14583546C2214yescomplemented
83#14583544C2214yescomplemented
84#14583542C2214yescomplemented
85#14583537C2214yescomplemented
86#14583523C2214yescomplemented
87#14583520C2214yescomplemented
88#14583518C2214yescomplemented
89#14583509C2214yescomplemented
90#14583507C2214yescomplemented
91#14583502C2214yescomplemented
92#14583500C2214yescomplemented
93#14583495C2218yescomplemented
94#14583490C2218yescomplemented
95#14583485C2218yescomplemented
96#14583483C2218yescomplemented
97#14583480C2212yescomplemented
98#14583477C2212yescomplemented
99#14583477C2212yescomplemented
100#14583472C2214yes—
101#14583472C2214yescomplemented
102#14583465C2214yes—
103#14583465C2214yescomplemented
104#14583457C2218yes—
105#14583456C2212yescomplemented
106#14583454C2212yescomplemented
107#14583454C2212yescomplemented
108#14583454C2212yescomplemented
109#14583454C2212yescomplemented
110#14583454C2212yescomplemented
111#14583454C2212yescomplemented
112#14583454C2212yescomplemented
113#14583454C2212yescomplemented
114#14583454C2212yescomplemented
115#14583454C2212yescomplemented
116#14583450C2211yescharacteristic
117#14583450C2212yescomplemented
118#14583449C2211yescharacteristic, complemented
119#14583449C2212yescomplemented
120#14583448C2212yes—
121#14583447C2211yescharacteristic
122#14583447C2212yescomplemented
123#14583446C2212yes—
124#14583446C2212yes—
125#14583445C2212yescomplemented
126#14583444C2212yescomplemented
127#14583444C2212yescomplemented
128#14583444C2218yescomplemented
129C2×#13063325C2211yescharacteristic, complemented
130C4⋊Q8×D43C2211yescharacteristic, complemented
131#127×D43C2211yescharacteristic, complemented
132#14583436C2214yescomplemented
133#14583436C2214yescomplemented
134#14583435C2214yescomplemented
135#14583435C2214yescomplemented
136#14583435C2218yescomplemented
137#14583434C2214yescomplemented
138#14583434C2214yescomplemented
139#14583432C2218yescomplemented
140#14583431C2214yescomplemented
141#14583431C2214yescomplemented
142#14583430C2214yescomplemented
143#14583430C2214yescomplemented
144#14583428C2214yescomplemented
145#14583428C2214yescomplemented
146#14583428C2218yescomplemented
147#14583426C2218yescomplemented
148C2×#13063316C2212yescomplemented
149#124×D43C2212yescomplemented
150#14583412C2214yes—
151#14583412C2214yescomplemented
152#14583412C2214yescomplemented
153#14583411C2214yescomplemented
154#14583409C2214yes—
155#14583409C2214yescomplemented
156#14583409C2214yescomplemented
157#14583406C2214yescomplemented
158C2×#13063305C2212yes—
159C2×#13063301C2212yes—
160#121×D43C2212yes—
161#121×D43C2212yes—
162#14583382C2212yescomplemented
163#14583380C2214yescomplemented
164#14583380C2212yescomplemented
165#14583379C2214yescomplemented
166#14583379C2212yescomplemented
167#14583375C2214yescomplemented
168#14583371C2218yes—
169#14583371C2214yescomplemented
170#41×Dic43C2214yescomplemented
171#41×Dic43C2211yescharacteristic, complemented
172C4×#10621902C2211yescharacteristic
173C4×#10621902C2211yescharacteristic
174C4×#10621902C2214yescomplemented
175C4×#10621902C2214yescomplemented
176C4×#10621898C2212yes—
177C4×#10621898C2211yescharacteristic, complemented
178#14583367C2212yes—
179#14583367C2214yescomplemented
180#14583367C2211yescharacteristic, complemented
181C4×#10621900C2211yescharacteristic
182C4×#10621900C2211yescharacteristic
183C4×#10621900C2214yescomplemented
184C4×#10621900C2218yescomplemented
185C4×#10621900C2214yescomplemented
186C4×#10621900C2212yescomplemented
187C4×#10621900C2212yescomplemented
188C2×Q8×Dic43C2212yescomplemented
189C2×#13063290C2212yescomplemented
190C4×Q8×D43C2211yescharacteristic, complemented
191C4×Q8×D43C2211yescharacteristic, complemented
192C4×D4×D43C2212yes—
193C4×D4×D43C2212yes—
194C4×D4×D43C2212yescomplemented
195C4×D4×D43C2212yescomplemented
196C4×D4×D43C2211yescharacteristic, complemented
197C4×D4×D43C2211yescharacteristic, complemented
198C2×#13063283C2212yes—
199C2×#13063283C2214yescomplemented
200#117×D43C2211yescharacteristic
201#117×D43C2214yescomplemented
202#117×D43C2212yescomplemented
203C2×C42×D43C2211yescharacteristic
204C2×C42×D43C2212yescomplemented
205C43×#556C2212yescomplemented
206C43×#555C2212yescomplemented
207C43×#554C2212yescomplemented
208C43×#553C2214yescomplemented
209C43×#548C2214yescomplemented
210C43×#547C2212yescomplemented
211C43×#542C2214yescomplemented
212C43×#537C2212yescomplemented
213C43×#533C2212yescomplemented
214C43×#532C2211yescharacteristic, complemented
215C43×#532C2212yescomplemented
216C2×C4⋊Q8×C43C2211yescharacteristic, complemented
217C43×#520C2212yescomplemented
218C4×#41×C43C2211yescharacteristic, complemented
219C2×#10621902C2311yescharacteristic
220C2×#10621902C2312yes—
221C2×#10621902C2314yes—
222C2×#10621898C2312yes—
223C2×#10621898C2311yescharacteristic
224C2×#10621898C2312yes—
225C2×#10621898C2314yes—
226C2×#10621898C2314yes—
227C2×#10621900C2311yescharacteristic
228C2×#10621900C2312yes—
229C2×#10621900C2314yes—
230C2×#10621900C2312yes—
231C2×#10621900C2314yes—
232#41×D43—216no—
233#41×D43—28no—
234C22×Dic86C2312yes—
235C2×Q8×D43C2311yescharacteristic
236C2×Q8×D43C2312yes—
237C2×D4×D43C2312yes—
238C2×D4×D43C2311yescharacteristic
239C2×D4×D43C2314yes—
240C2×D4×D43C2312yes—
241C2×D4×D43C2312yes—
242C2×D4×D43C2312yes—
243C22×C4×D43C2312yes—
244C22×C4×D43C2314yes—
245C22×C4×D43C2311yescharacteristic
246C22×C4×D43C2311yescharacteristic
247C22×C4×D43C2312yes—
248C22×C4×D43C2312yes—
249C22×C4×D43C2311yescharacteristic
250#13063325C2312yes—
251#13063325C2312yes—
252#13063325C2311yescharacteristic
253#13063325C2312yes—
254#13063325C2312yes—
255#13063324C2318yes—
256#13063324C2312yes—
257#13063324C2312yes—
258#13063323C2312yes—
259#13063322C2311yescharacteristic
260#13063321C2312yes—
261#13063321C2318yes—
262#13063321C2312yes—
263#13063321C2312yes—
264#13063320C2318yes—
265#13063320C2318yes—
266#13063320C2318yes—
267#13063320C2318yes—
268#13063320C2318yes—
269#13063319C2318yes—
270#13063318C2318yes—
271#13063318C2318yes—
272#13063318C2318yes—
273#13063318C2318yes—
274#13063318C2318yes—
275#13063317C2318yes—
276#13063317C2314yes—
277#13063316C2314yes—
278#13063316C2314yes—
279#13063316C2318yes—
280#13063316C2314yes—
281#13063316C2314yes—
282#13063316C2314yes—
283#13063316C2314yes—
284#13063315C2318yes—
285#13063315C2318yes—
286#13063314C2318yes—
287#13063314C2314yes—
288#13063314C2312yes—
289#13063313C2314yes—
290#13063313C2312yes—
291#13063312C2314yes—
292#13063312C2312yes—
293#13063311C2318yes—
294#13063311C2318yes—
295#13063311C2314yes—
296#13063311C2318yes—
297#13063311C2318yes—
298#13063311C2314yes—
299#13063310C2318yes—
300#13063310C2318yes—
301#13063310C2318yes—
302#13063310C2318yes—
303#13063309C2318yes—
304#13063309C2318yes—
305#13063309C2318yes—
306#13063308C2318yes—
307#13063307C2318yes—
308#13063307C2318yes—
309#13063307C2318yes—
310#13063307C2318yes—
311#13063307C2318yes—
312#13063307C2318yes—
313#13063306C2318yes—
314#13063305C2314yes—
315#13063305C2314yes—
316#13063305C2314yes—
317#13063305C2314yes—
318#13063305C2314yes—
319#13063305C2314yes—
320#13063305C2314yes—
321#13063304C2314yes—
322#13063304C2314yes—
323#13063304C2314yes—
324#13063303C2318yes—
325#13063302C2318yes—
326#13063301C2314yes—
327#13063301C2318yes—
328#13063301C2314yes—
329#13063301C2314yes—
330#13063301C2314yes—
331#13063301C2314yes—
332#13063301C2314yes—
333#13063301C2314yes—
334#13063300C2314yes—
335#13063300C2314yes—
336#13063300C2312yes—
337#13063300C2312yes—
338#13063300C2314yes—
339#13063299C2314yes—
340#13063299C2312yes—
341#13063299C2312yes—
342#13063299C2318yes—
343#13063299C2318yes—
344#13063299C2314yes—
345#13063299C2314yes—
346#13063298C2318yes—
347#13063298C2314yes—
348#13063298C2314yes—
349#13063297C2318yes—
350#13063297C2318yes—
351#13063297C2318yes—
352#13063297C2314yes—
353#13063297C2314yes—
354#13063296C2314yes—
355#13063296C2318yes—
356#13063296C2314yes—
357#13063296C2312yes—
358#13063296C2312yes—
359#13063296C2314yes—
360#13063295C2318yes—
361#13063295C2318yes—
362#13063293C2318yes—
363#13063293C2318yes—
364Q8×Dic43C2314yes—
365Q8×Dic43C2314yes—
366Q8×Dic43C2311yescharacteristic
367Q8×Dic43C2311yescharacteristic
368Q8×Dic43C2314yes—
369Q8×Dic43C2314yes—
370Q8×Dic43C2314yes—
371Q8×Dic43C2314yes—
372C4×Dic86C2314yes—
373C4×Dic86C2311yescharacteristic
374C4×Dic86C2311yescharacteristic
375C4×Dic86C2318yes—
376C4×Dic86C2312yes—
377C4×Dic86C2312yes—
378C4×Dic86C2314yes—
379#13063290C2314yes—
380#13063290C2314yes—
381#13063290C2311yescharacteristic
382#13063290C2311yescharacteristic
383#13063290C2312yes—
384#13063290C2314yes—
385#13063290C2312yes—
386#13063290C2314yes—
387#13063290C2314yes—
388#13063290C2318yes—
389#13063290C2314yes—
390C4×D172C2311yescharacteristic
391C4×D172C2312yes—
392C4×D172C2311yescharacteristic
393C4×D172C2312yes—
394C4×D172C2318yes—
395C4×D172C2312yes—
396C4×D172C2312yes—
397C4×D172C2314yes—
398C4×D172C2318yes—
399C4×D172C2314yes—
400D4×Dic43C2318yes—
401D4×Dic43C2318yes—
402D4×Dic43C2312yes—
403D4×Dic43C2311yescharacteristic
404D4×Dic43C2312yes—
405D4×Dic43C2311yescharacteristic
406D4×Dic43C2314yes—
407D4×Dic43C2312yes—
408D4×Dic43C2312yes—
409D4×Dic43C2314yes—
410D4×Dic43C2318yes—
411#13063287C2312yes—
412#13063287C2312yes—
413#13063287C2311yescharacteristic
414#13063287C2311yescharacteristic
415#13063287C2314yes—
416#13063287C2312yes—
417#13063287C2312yes—
418#13063287C2318yes—
419#13063287C2314yes—
420#13063287C2318yes—
421C4×C22⋊D43C2312yes—
422C4×C22⋊D43C2312yes—
423C4×C22⋊D43C2318yes—
424C4×C22⋊D43C2312yes—
425C4×C22⋊D43C2312yes—
426C4×C22⋊D43C2318yes—
427C4×C22⋊D43C2318yes—
428C4×C22⋊D43C2312yes—
429C4×C22⋊D43C2314yes—
430C4×C22⋊D43C2312yes—
431C4×C22⋊D43C2314yes—
432C4×C22⋊D43C2318yes—
433(C22⋊D43)⋊C4C2318yes—
434(C22⋊D43)⋊C4C2318yes—
435(C22⋊D43)⋊C4C2312yes—
436(C22⋊D43)⋊C4C2312yes—
437(C22⋊D43)⋊C4C2318yes—
438(C22⋊D43)⋊C4C2312yes—
439(C22⋊D43)⋊C4C2312yes—
440(C22⋊D43)⋊C4C2312yes—
441(C22⋊D43)⋊C4C2312yes—
442(C22⋊D43)⋊C4C2314yes—
443(C22⋊D43)⋊C4C2314yes—
444(C22⋊D43)⋊C4C2318yes—
445(C22⋊D43)⋊C4C2318yes—
446(C22⋊D43)⋊C4C2318yes—
447#13063284C2318yes—
448#13063284C2314yes—
449#13063284C2314yes—
450#13063284C2311yescharacteristic
451#13063284C2312yes—
452#13063283C2318yes—
453#13063283C2318yes—
454#13063283C2314yes—
455#13063283C2314yes—
456#13063283C2314yes—
457#13063283C2314yes—
458#13063283C2311yescharacteristic
459#13063283C2311yescharacteristic
460#13063283C2314yes—
461#13063283C2312yes—
462#13063283C2312yes—
463#13063283C2314yes—
464#13063283C2314yes—
465#13063283C2314yes—
466#13063283C2318yes—
467#13063282C2318yes—
468#13063282C2318yes—
469#13063282C2312yes—
470#13063282C2312yes—
471#13063282C2312yes—
472#13063281C2318yes—
473#13063281C2312yes—
474#13063281C2312yes—
475#13063281C2312yes—
476#13063281C2318yes—
477C2×C4⋊Dic43C2314yes—
478C2×C4⋊Dic43C2312yes—
479C2×C4⋊Dic43C2314yes—
480C2×C4⋊Dic43C2312yes—
481C2×Dic43⋊C4C2314yes—
482C4⋊C4×D43C2314yes—
483C4⋊C4×D43C2314yes—
484C4⋊C4×D43C2312yes—
485C4⋊C4×D43C2312yes—
486C4⋊C4×D43C2311yescharacteristic
487C4⋊C4×D43C2311yescharacteristic
488C4⋊C4×D43C2312yes—
489C4⋊C4×D43C2312yes—
490C2×(C2×D43)⋊C4C2318yes—
491C2×(C2×D43)⋊C4C2314yes—
492C22⋊C4×D43C2314yes—
493C22⋊C4×D43C2318yes—
494C22⋊C4×D43C2314yes—
495C22⋊C4×D43C2312yes—
496C22⋊C4×D43C2312yes—
497C22⋊C4×D43C2312yes—
498C2×C4×Dic43C2311yescharacteristic
499C2×C4×Dic43C2311yescharacteristic
500C2×C4×Dic43C2311yescharacteristic
501C2×C4×Dic43C2312yes—
502C2×C4×Dic43C2312yes—
503C2×C4×Dic43C2312yes—
504C2×C4×Dic43C2314yes—
505C2×C4×Dic43C2318yes—
506C42×D43C2311yescharacteristic
507C42×D43C2311yescharacteristic
508C42×D43C2311yescharacteristic
509C42×D43C2311yescharacteristic
510C42×D43C2311yescharacteristic
511C42×D43C2311yescharacteristic
512C42×D43C2311yescharacteristic
513C42×D43C2311yescharacteristic
514C42×D43C2312yes—
515C42×D43C2312yes—
516C42×D43C2312yes—
517C42×D43C2312yes—
518C42×D43C2312yes—
519C42×D43C2312yes—
520C42×D43C2312yes—
521C42×D43C2318yes—
522C2×#41×C43C2311yescharacteristic
523C2×#41×C43C2312yes—
524C2×#41×C43C2314yes—
525C22×Q8×C43C2312yes—
526C4⋊Q8×C43C2312yes—
527C4⋊Q8×C43C2312yes—
528C4⋊Q8×C43C2312yes—
529C4⋊Q8×C43C2312yes—
530C4⋊Q8×C43C2311yescharacteristic
531#127×C43C2311yescharacteristic
532#126×C43C2318yes—
533#125×C43C2314yes—
534#124×C43C2318yes—
535#124×C43C2312yes—
536#124×C43C2314yes—
537#123×C43C2318yes—
538C22⋊Q8×C43C2318yes—
539C22⋊Q8×C43C2314yes—
540C22⋊Q8×C43C2314yes—
541C22⋊Q8×C43C2314yes—
542#121×C43C2312yes—
543#121×C43C2314yes—
544#121×C43C2314yes—
545#121×C43C2312yes—
546#121×C43C2318yes—
547#121×C43C2314yes—
548C4×Q8×C43C2311yescharacteristic
549C4×Q8×C43C2311yescharacteristic
550C4×Q8×C43C2314yes—
551C4×Q8×C43C2314yes—
552C4×D4×C43C2312yes—
553C4×D4×C43C2311yescharacteristic
554C4×D4×C43C2312yes—
555C4×D4×C43C2312yes—
556C4×D4×C43C2311yescharacteristic
557C4×D4×C43C2314yes—
558C4×D4×C43C2318yes—
559C4×D4×C43C2312yes—
560C4×D4×C43C2314yes—
561#117×C43C2311yescharacteristic
562#117×C43C2312yes—
563#117×C43C2314yes—
564#117×C43C2314yes—
565C2×C4⋊C4×C43C2314yes—
566C2×C4⋊C4×C43C2312yes—
567C2×C4⋊C4×C43C2312yes—
568C2×C42×C43C2311yescharacteristic
569C2×C42×C43C2312yes—
570C23×D43C2414yes—
571C23×D43C2412yes—
572C23×D43C2411yescharacteristic
573#41×C43—24no—
574#41×C43—28no—
575#41×C43—48no—
576C2×Q8×C43—44no—
577C2×Q8×C43C2411yescharacteristic
578C2×Q8×C43C2412yes—
579C2×Q8×C43C2414yes—
580C2×Q8×C43C2414yes—
581C2×D4×C43C2412yes—
582C2×D4×C43C2411yescharacteristic
583C2×D4×C43C2412yes—
584C2×D4×C43C2414yes—
585C2×D4×C43C2412yes—
586C2×D4×C43C2412yes—
587C2×D4×C43C2418yes—
588C22×C4×C43C2411yescharacteristic
589C22×C4×C43C2412yes—
590C22×C4×C43C2412yes—
591C22×C4×C43C2411yescharacteristic
592C22×C4×C43C2412yes—
593C22×C4×C43C2414yes—
594C22×C4×C43C2414yes—
595C22×C4×C43C2418yes—
596C22×C4×C43C2411yescharacteristic
597C2×C22⋊D43C2412yes—
598C2×C22⋊D43C2414yes—
599C2×C22⋊D43C2414yes—
600C2×C22⋊D43C2412yes—
601C2×C22⋊D43C2414yes—
602C2×C22⋊D43C2412yes—
603C2×C22⋊D43C2418yes—
604C2×C22⋊D43C2418yes—
605C2×C22⋊D43C2414yes—
606C2×C22⋊D43C2414yes—
607C22×Dic43C2412yes—
608C22×Dic43C2414yes—
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2411yescharacteristic
611C22×Dic43C2412yes—
612C22×Dic43C2412yes—
613C22×Dic43C2414yes—
614C22×Dic43C2418yes—
615C22×Dic43C2411yescharacteristic
616#10621902—24no—
617#10621902—28no—
618#10621902—48no—
619Q8×D43—24no—
620Q8×D43—28no—
621#10621900—216no—
622#10621900—28no—
623#10621900—24no—
624#10621900—28no—
625#10621900—48no—
626D4×D43—24no—
627D4×D43—28no—
628D4×D43—28no—
629D4×D43—216no—
630D4×D43—44no—
631D4×D43—44no—
632#10621898—24no—
633#10621898—28no—
634#10621898—216no—
635#10621898—28no—
636#10621898—48no—
637C2×D172C2412yes—
638C2×D172C2412yes—
639C2×D172C2414yes—
640C2×D172C2411yescharacteristic
641C2×D172C2412yes—
642C2×D172C2412yes—
643C2×D172C2418yes—
644C2×C4×D43—28no—
645C2×C4×D43—216no—
646C2×C4×D43—42no—
647C2×C4×D43—42no—
648C2×C4×D43—44no—
649C2×C4×D43—44no—
650C2×C4×D43#4118yescomplemented
651C2×C4×D43C2411yescharacteristic
652C2×C4×D43C2411yescharacteristic
653C2×C4×D43C2411yescharacteristic
654C2×C4×D43C2411yescharacteristic
655C2×C4×D43C2412yes—
656C2×C4×D43C2412yes—
657C2×C4×D43C2412yes—
658C2×C4×D43C2414yes—
659C2×C4×D43C2412yes—
660C2×C4×D43C2412yes—
661C2×C4×D43C2414yes—
662C2×C4×D43C2414yes—
663C2×C4×D43C2411yescharacteristic
664C2×C4×D43C2411yescharacteristic
665C2×C4×D43C2412yes—
666C2×C4×D43C2412yes—
667C2×C4×D43C2411yescharacteristic
668C2×C4×D43C2411yescharacteristic
669C2×C4×D43C2412yes—
670C2×C4×D43C2412yes—
671C2×C4×D43C2418yes—
672C2×C4×D43C2418yes—
673C2×C4×D43C2411yescharacteristic
674C2×C4×D43C2411yescharacteristic
675C2×C4×D43C2411yescharacteristic
676C2×C4×D43C2411yescharacteristic
677C2×Dic86—44no—
678C2×Dic86C2414yes—
679C2×Dic86C2411yescharacteristic
680C2×Dic86C2412yes—
681C2×Dic86C2412yes—
682C2×Dic86C2414yes—
683C2×Dic86C2414yes—
684C4⋊C4×C43C2411yescharacteristic
685C4⋊C4×C43C2414yes—
686C4⋊C4×C43C2414yes—
687C4⋊C4×C43C2414yes—
688C4⋊C4×C43C2418yes—
689C4⋊C4×C43C2414yes—
690C4⋊C4×C43C2411yescharacteristic
691C4⋊C4×C43C2412yes—
692C4⋊C4×C43C2412yes—
693C4⋊C4×C43C2412yes—
694C4⋊C4×C43C2412yes—
695C4⋊C4×C43C2418yes—
696C22⋊C4×C43C2412yes—
697C22⋊C4×C43C2418yes—
698C22⋊C4×C43C2412yes—
699C22⋊C4×C43C2412yes—
700C22⋊C4×C43C2418yes—
701C22⋊C4×C43C2418yes—
702C22⋊C4×C43C2414yes—
703C22⋊C4×C43C2414yes—
704C42×C43C2411yescharacteristic
705C42×C43C2412yes—
706C42×C43C2411yescharacteristic
707C42×C43C2412yes—
708C42×C43C2411yescharacteristic
709C42×C43C2411yescharacteristic
710C42×C43C2412yes—
711C42×C43C2418yes—
712C22⋊Dic43C2414yes—
713C22⋊Dic43C2412yes—
714C22⋊Dic43C2412yes—
715C22⋊Dic43C2418yes—
716C22⋊Dic43C2412yes—
717C22⋊Dic43C2414yes—
718C22⋊Dic43C2418yes—
719C22⋊Dic43C2418yes—
720(C2×D43)⋊C4C2412yes—
721(C2×D43)⋊C4C2412yes—
722(C2×D43)⋊C4C2418yes—
723(C2×D43)⋊C4C2414yes—
724(C2×D43)⋊C4C2412yes—
725(C2×D43)⋊C4C2412yes—
726(C2×D43)⋊C4C2412yes—
727(C2×D43)⋊C4C2412yes—
728(C2×D43)⋊C4C2414yes—
729(C2×D43)⋊C4C2414yes—
730(C2×D43)⋊C4C2414yes—
731(C2×D43)⋊C4C2418yes—
732(C2×D43)⋊C4C2418yes—
733(C2×D43)⋊C4C2418yes—
734(C2×D43)⋊C4C2418yes—
735(C2×D43)⋊C4C2418yes—
736(C2×D43)⋊C4C2418yes—
737(C2×D43)⋊C4C2418yes—
738C4⋊Dic43C2411yescharacteristic
739C4⋊Dic43C2411yescharacteristic
740C4⋊Dic43C2414yes—
741C4⋊Dic43C2412yes—
742C4⋊Dic43C2412yes—
743C4⋊Dic43C2412yes—
744C4⋊Dic43C2412yes—
745C4⋊Dic43C2414yes—
746C4⋊Dic43C2418yes—
747C4⋊Dic43C2414yes—
748C4⋊Dic43C2418yes—
749C4⋊Dic43C2418yes—
750C4⋊Dic43C2414yes—
751C4⋊Dic43C2418yes—
752Dic43⋊C4C2412yes—
753Dic43⋊C4C2418yes—
754Dic43⋊C4C2412yes—
755Dic43⋊C4C2412yes—
756Dic43⋊C4C2412yes—
757Dic43⋊C4C2412yes—
758Dic43⋊C4C2412yes—
759Dic43⋊C4C2418yes—
760Dic43⋊C4C2414yes—
761Dic43⋊C4C2414yes—
762Dic43⋊C4C2418yes—
763Dic43⋊C4C2418yes—
764Dic43⋊C4C2418yes—
765Dic43⋊C4C2418yes—
766C4×Dic43C2412yes—
767C4×Dic43C2411yescharacteristic
768C4×Dic43C2411yescharacteristic
769C4×Dic43C2411yescharacteristic
770C4×Dic43C2412yes—
771C4×Dic43C2412yes—
772C4×Dic43C2411yescharacteristic
773C4×Dic43C2411yescharacteristic
774C4×Dic43C2412yes—
775C4×Dic43C2412yes—
776C4×Dic43C2411yescharacteristic
777C4×Dic43C2412yes—
778C4×Dic43C2412yes—
779C4×Dic43C2411yescharacteristic
780C4×Dic43C2411yescharacteristic
781C4×Dic43C2411yescharacteristic
782C4×Dic43C2411yescharacteristic
783C4×Dic43C2412yes—
784C4×Dic43C2412yes—
785C4×Dic43C2411yescharacteristic
786C4×Dic43C2411yescharacteristic
787C4×Dic43C2418yes—
788C4×Dic43C2418yes—
789C4×Dic43C2418yes—
790C4×Dic43C2418yes—
791C4×Dic43C2418yes—
792C23×C43C2514yes—
793C23×C43C2512yes—
794C23×C43C2511yescharacteristic
795C22×D43—24no—
796C22×D43—28no—
797C22×D43—41no—
798C22×D43—41no—
799C22×D43—42no—
800C22×D43—42no—
801C22×D43—44no—
802C22×D43—44no—
803C22×D43C2×#4114yes—
804C22×D43C2512yes—
805C22×D43C2514yes—
806C22×D43C2511yescharacteristic
807C22×D43C2511yescharacteristic
808Q8×C43—24no—
809Q8×C43—22no—
810Q8×C43—28no—
811Q8×C43—44no—
812D4×C43—24no—
813D4×C43—28no—
814D4×C43—24no—
815D4×C43—22no—
816D4×C43—24no—
817D4×C43—24no—
818D4×C43—48no—
819C2×C4×C43—24no—
820C2×C4×C43—28no—
821C2×C4×C43—22no—
822C2×C4×C43—24no—
823C2×C4×C43—22no—
824C2×C4×C43—24no—
825C2×C4×C43—44no—
826C2×C4×C43—48no—
827C2×C4×C43C2×#4114yes—
828C2×C4×C43C2512yes—
829C2×C4×C43C2518yes—
830C2×C4×C43C2512yes—
831C2×C4×C43C2512yes—
832C2×C4×C43C2514yes—
833C2×C4×C43C2511yescharacteristic
834C2×C4×C43C2511yescharacteristic
835C2×C4×C43C2511yescharacteristic
836C2×C4×C43C2511yescharacteristic
837C2×C4×C43C2511yescharacteristic
838C2×C4×C43C2511yescharacteristic
839C22⋊D43—24no—
840C22⋊D43—28no—
841C22⋊D43—24no—
842C22⋊D43—28no—
843C22⋊D43—24no—
844C22⋊D43—28no—
845C22⋊D43—48no—
846C22⋊D43—44no—
847C22⋊D43—44no—
848C22⋊D43—48no—
849C2×Dic43—24no—
850C2×Dic43—28no—
851C2×Dic43—44no—
852C2×Dic43—42no—
853C2×Dic43—42no—
854C2×Dic43—41no—
855C2×Dic43—41no—
856C2×Dic43—48no—
857C2×Dic43C2×#4114yes—
858C2×Dic43C2511yescharacteristic
859C2×Dic43C2512yes—
860C2×Dic43C2512yes—
861C2×Dic43C2511yescharacteristic
862C2×Dic43C2511yescharacteristic
863C2×Dic43C2512yes—
864C2×Dic43C2514yes—
865C2×Dic43C2511yescharacteristic
866C2×Dic43C2518yes—
867C2×Dic43C2511yescharacteristic
868C2×Dic43C2511yescharacteristic
869D172—24no—
870D172—28no—
871D172—24no—
872D172—22no—
873D172—24no—
874D172—24no—
875D172—48no—
876C4×D43—28no—
877C4×D43—24no—
878C4×D43—24no—
879C4×D43—28no—
880C4×D43—22no—
881C4×D43—22no—
882C4×D43—22no—
883C4×D43—22no—
884C4×D43—24no—
885C4×D43—24no—
886C4×D43—24no—
887C4×D43—28no—
888C4×D43—42no—
889C4×D43—41no—
890C4×D43—42no—
891C4×D43—42no—
892C4×D43—41no—
893C4×D43—42no—
894C4×D43—41no—
895C4×D43—41no—
896C4×D43—48no—
897C4×D43—48no—
898C4×D43C2×#4114yes—
899C4×D43C2×#4114yes—
900C4×D43C2×#4114yes—
901C4×D43C2×#4114yes—
902Dic86—24no—
903Dic86—22no—
904Dic86—28no—
905Dic86—24no—
906Dic86—28no—
907Dic86—44no—
908#62815—431nomaximal, Sylow
909C22×C43—21no—
910C22×C43—21no—
911C22×C43—22no—
912C22×C43—24no—
913C22×C43—24no—
914C22×C43—22no—
915C22×C43—22no—
916C22×C43—24no—
917C22×C43C22×#4112yes—
918C22×C43C2611yescharacteristic
919C2×D43—21no—
920C2×D43—21no—
921C2×D43—21no—
922C2×D43—21no—
923C2×D43—22no—
924C2×D43—24no—
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—24no—
928C2×D43—24no—
929C2×D43—44no—
930C2×D43—48no—
931C2×D43—88no—
932C2×D43C22×#4112yes—
933C2×D43C22×#4112yes—
934C4×C43—24no—
935C4×C43—22no—
936C4×C43—21no—
937C4×C43—22no—
938C4×C43—22no—
939C4×C43—21no—
940C4×C43—28no—
941C4×C43C22×#4112yes—
942C4×C43C22×#4112yes—
943C4×C43#58512yes—
944C4×C43#58512yes—
945Dic43—24no—
946Dic43—22no—
947Dic43—28no—
948Dic43—22no—
949Dic43—21no—
950Dic43—21no—
951Dic43—22no—
952Dic43—21no—
953Dic43—21no—
954Dic43C22×#4112yes—
955Dic43C22×#4112yes—
956#3512—432no—
957#3512—432no—
958#3511—431no—
959#3511—431no—
960#3511—431no—
961#3511D4311yescharacteristic, complemented
962#3510—434no—
963#3509—432no—
964#3508—432no—
965#3507—432no—
966#3507—432no—
967#3506—432no—
968#3506—432no—
969#3505—434no—
970#3505—434no—
971#3480—434no—
972#3480—434no—
973#3475—432no—
974#3475—432no—
975#3475—432no—
976#3475—432no—
977#3455—434no—
978#3449—432no—
979#3444—432no—
980#3444—432no—
981C2×#533—431no—
982C2×#532—431no—
983#3428—432no—
984C2×C4×#41—431no—
985C2×C43—22no—
986C2×C43—42no—
987C2×C43—44no—
988C2×C43C23×#4111yescharacteristic
989C2×C43C2×#58511yescharacteristic
990C2×C43C2×#58511yescharacteristic
991D43—22no—
992D43—22no—
993D43—42no—
994D43—44no—
995C22×#41—431no—
996C22×#41—432no—
997#559—438no—
998#559—434no—
999#559—438no—
1000#559—434no—
1001#557—434no—
1002#557—434no—
1003#556—432no—
1004#556—438no—
1005#556—434no—
1006#556—438no—
1007#556—432no—
1008#556—432no—
1009#556—434no—
1010#556C2×D4312yescomplemented
1011#555—432no—
1012#555—432no—
1013#555—432no—
1014#555C2×D4312yescomplemented
1015#554—432no—
1016#554—432no—
1017#554—432no—
1018#554C2×D4312yescomplemented
1019#553—438no—
1020#553—434no—
1021#553—434no—
1022#553—434no—
1023#553—438no—
1024#553—434no—
1025#553—438no—
1026#553—438no—
1027#553—434no—
1028#553—434no—
1029#553—434no—
1030#553C2×D4314yescomplemented
1031#552—434no—
1032#552—434no—
1033#552—434no—
1034#552—434no—
1035#552—434no—
1036#552—434no—
1037#552—434no—
1038#552—434no—
1039#551—438no—
1040#551—438no—
1041#551—438no—
1042#551—438no—
1043#550—434no—
1044#550—434no—
1045#548—434no—
1046#548—434no—
1047#548—434no—
1048#548C2×D4314yescomplemented
1049#547—432no—
1050#547—432no—
1051#547—432no—
1052#547C2×D4312yescomplemented
1053#546—434no—
1054#546—434no—
1055#546—434no—
1056#546—434no—
1057#542—434no—
1058#542—434no—
1059#542—434no—
1060#542C2×D4314yescomplemented
1061#541—434no—
1062#541—434no—
1063#540—434no—
1064#540—434no—
1065#539—438no—
1066#539—438no—
1067#538—438no—
1068#538—438no—
1069#537—432no—
1070#537—432no—
1071#537—432no—
1072#537C2×D4312yescomplemented
1073#536—434no—
1074#536—434no—
1075#535—434no—
1076#535—434no—
1077#534—438no—
1078#533—432no—
1079#533—432no—
1080#533—432no—
1081#533—432no—
1082#533—432no—
1083#533—432no—
1084#533—432no—
1085#533—432no—
1086#533—432no—
1087#533—432no—
1088#533—432no—
1089#533C2×D4312yescomplemented
1090#532—432no—
1091#532—431no—
1092#532—432no—
1093#532—431no—
1094#532—432no—
1095#532—432no—
1096#532—432no—
1097#532—432no—
1098#532—438no—
1099#532—432no—
1100#532—432no—
1101#532—431no—
1102#532—432no—
1103#532C2×D4311yescharacteristic, complemented
1104#532C2×D4312yescomplemented
1105C2×C4⋊Q8—431no—
1106C2×C4⋊Q8—431no—
1107C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1108C2×#127—431no—
1109#529—438no—
1110#529—434no—
1111#529—434no—
1112#529—434no—
1113#529—434no—
1114#529—438no—
1115#529—438no—
1116#529—434no—
1117#529—434no—
1118#529—438no—
1119#529—434no—
1120#529—434no—
1121#529—434no—
1122#529—434no—
1123#529—434no—
1124#529—434no—
1125C2×#125—432no—
1126C2×#124—432no—
1127#525—434no—
1128#525—434no—
1129#525—434no—
1130#525—434no—
1131#525—434no—
1132#525—434no—
1133#525—434no—
1134#525—434no—
1135C2×C22⋊Q8—432no—
1136C2×C22⋊Q8—432no—
1137C2×#121—432no—
1138C2×#121—432no—
1139#520—432no—
1140#520—434no—
1141#520—432no—
1142#520—434no—
1143#520—432no—
1144#520C2×D4312yescomplemented
1145#519—434no—
1146#518—438no—
1147#518—434no—
1148C4×#41—431no—
1149C4×#41—434no—
1150C4×#41—431no—
1151C4×#41—431no—
1152C4×#41—434no—
1153C4×#41—434no—
1154C4×#41—431no—
1155C4×#41—431no—
1156C4×#41—432no—
1157C4×#41—432no—
1158C4×#41—434no—
1159C4×#41—438no—
1160C4×#41—434no—
1161C4×#41—432no—
1162C4×#41—431no—
1163C4×#41—434no—
1164C4×#41—432no—
1165C4×#41—431no—
1166C4×#41C2×D4311yescharacteristic, complemented
1167C2×C4×Q8—432no—
1168C2×C4×Q8—431no—
1169C2×C4×Q8—431no—
1170C2×C4×Q8—432no—
1171C2×C4×D4—432no—
1172C2×C4×D4—432no—
1173C2×C4×D4—431no—
1174C2×C4×D4—431no—
1175C2×C4×D4—432no—
1176C2×C4×D4—432no—
1177C2×#117—431no—
1178C2×#117—432no—
1179C2×#117—434no—
1180C2×#117—432no—
1181C2×#117—434no—
1182C22×C42—431no—
1183C22×C42—432no—
1184C43#6281511yescharacteristic, complemented, Sylow
1185C2×#41—431no—
1186C2×#41—432no—
1187C2×#41—434no—
1188C2×#41—431no—
1189C2×#41—432no—
1190C2×#41—432no—
1191C2×#41—434no—
1192C2×#41—434no—
1193C2×#41—432no—
1194C2×#41—431no—
1195C2×#41—434no—
1196C2×#41—432no—
1197C2×#41—434no—
1198C2×#41—868no—
1199C2×#41—8616no—
1200C2×#41C22×D4311yescharacteristic
1201C2×#41C22×D4312yes—
1202C2×#41C22×D4314yes—
1203C22×Q8—431no—
1204C22×Q8—432no—
1205C22×Q8—432no—
1206C22×Q8C22×D4312yes—
1207C22×D4—432no—
1208C22×D4—431no—
1209C22×D4—434no—
1210C22×D4—432no—
1211C22×D4—432no—
1212C22×D4—432no—
1213C23×C4—431no—
1214C23×C4—434no—
1215C23×C4—432no—
1216C23×C4—431no—
1217C23×C4—431no—
1218C23×C4—432no—
1219C23×C4—432no—
1220C4⋊Q8—432no—
1221C4⋊Q8—432no—
1222C4⋊Q8—432no—
1223C4⋊Q8—438no—
1224C4⋊Q8—431no—
1225C4⋊Q8—432no—
1226C4⋊Q8—432no—
1227C4⋊Q8—432no—
1228C4⋊Q8—432no—
1229C4⋊Q8C22×D4311yescharacteristic
1230C4⋊Q8C22×D4312yes—
1231C4⋊Q8C22×D4312yes—
1232C4⋊Q8C22×D4312yes—
1233C4⋊Q8C22×D4312yes—
1234#127—432no—
1235#127—432no—
1236#127—432no—
1237#127—438no—
1238#127—431no—
1239#127C22×D4311yescharacteristic
1240#126—438no—
1241#126—438no—
1242#126—438no—
1243#126—438no—
1244#126—438no—
1245#126—438no—
1246#126—438no—
1247#126—438no—
1248#126—438no—
1249#126—438no—
1250#126—438no—
1251#126C22×D4318yes—
1252#125—434no—
1253#125—434no—
1254#125—434no—
1255#125—434no—
1256#125—434no—
1257#125—434no—
1258#125—438no—
1259#125—438no—
1260#125—438no—
1261#125—434no—
1262#125—438no—
1263#125C22×D4314yes—
1264#124—432no—
1265#124—434no—
1266#124—438no—
1267#124—432no—
1268#124—434no—
1269#124—434no—
1270#124—434no—
1271#124—438no—
1272#124—438no—
1273#124—438no—
1274#124—438no—
1275#124—432no—
1276#124—434no—
1277#124C22×D4312yes—
1278#124C22×D4314yes—
1279#124C22×D4318yes—
1280#123—438no—
1281#123—438no—
1282#123—438no—
1283#123—438no—
1284#123—438no—
1285#123—438no—
1286#123—438no—
1287#123—438no—
1288#123—438no—
1289#123—438no—
1290#123—438no—
1291#123—438no—
1292#123—438no—
1293#123—438no—
1294#123—438no—
1295#123C22×D4318yes—
1296C22⋊Q8—434no—
1297C22⋊Q8—434no—
1298C22⋊Q8—434no—
1299C22⋊Q8—434no—
1300C22⋊Q8—434no—
1301C22⋊Q8—434no—
1302C22⋊Q8—434no—
1303C22⋊Q8—438no—
1304C22⋊Q8—434no—
1305C22⋊Q8—434no—
1306C22⋊Q8—434no—
1307C22⋊Q8—434no—
1308C22⋊Q8—434no—
1309C22⋊Q8—434no—
1310C22⋊Q8—434no—
1311C22⋊Q8—434no—
1312C22⋊Q8—434no—
1313C22⋊Q8—434no—
1314C22⋊Q8—438no—
1315C22⋊Q8—438no—
1316C22⋊Q8C22×D4314yes—
1317C22⋊Q8C22×D4314yes—
1318C22⋊Q8C22×D4314yes—
1319C22⋊Q8C22×D4318yes—
1320#121—432no—
1321#121—432no—
1322#121—434no—
1323#121—434no—
1324#121—434no—
1325#121—434no—
1326#121—434no—
1327#121—438no—
1328#121—438no—
1329#121—438no—
1330#121—438no—
1331#121—432no—
1332#121—432no—
1333#121—434no—
1334#121—434no—
1335#121—434no—
1336#121—438no—
1337#121—438no—
1338#121—432no—
1339#121—432no—
1340#121—434no—
1341#121—434no—
1342#121—434no—
1343#121—434no—
1344#121—434no—
1345#121—438no—
1346#121C22×D4312yes—
1347#121C22×D4312yes—
1348#121C22×D4314yes—
1349#121C22×D4314yes—
1350#121C22×D4314yes—
1351#121C22×D4318yes—
1352#120—438no—
1353#120—438no—
1354#120—438no—
1355#120—438no—
1356C4×Q8—434no—
1357C4×Q8—431no—
1358C4×Q8—431no—
1359C4×Q8—434no—
1360C4×Q8—434no—
1361C4×Q8—434no—
1362C4×Q8—434no—
1363C4×Q8—434no—
1364C4×Q8—434no—
1365C4×Q8—431no—
1366C4×Q8—431no—
1367C4×Q8—432no—
1368C4×Q8—432no—
1369C4×Q8—434no—
1370C4×Q8—434no—
1371C4×Q8—434no—
1372C4×Q8—434no—
1373C4×Q8—438no—
1374C4×Q8—434no—
1375C4×Q8—431no—
1376C4×Q8—431no—
1377C4×Q8—432no—
1378C4×Q8—432no—
1379C4×Q8—434no—
1380C4×Q8—438no—
1381C4×Q8—434no—
1382C4×Q8C22×D4311yescharacteristic
1383C4×Q8C22×D4311yescharacteristic
1384C4×Q8C22×D4314yes—
1385C4×Q8C22×D4314yes—
1386C4×D4—432no—
1387C4×D4—432no—
1388C4×D4—432no—
1389C4×D4—432no—
1390C4×D4—431no—
1391C4×D4—431no—
1392C4×D4—434no—
1393C4×D4—438no—
1394C4×D4—438no—
1395C4×D4—438no—
1396C4×D4—434no—
1397C4×D4—432no—
1398C4×D4—432no—
1399C4×D4—432no—
1400C4×D4—432no—
1401C4×D4—432no—
1402C4×D4—432no—
1403C4×D4—434no—
1404C4×D4—434no—
1405C4×D4—438no—
1406C4×D4—438no—
1407C4×D4—438no—
1408C4×D4—438no—
1409C4×D4—432no—
1410C4×D4—432no—
1411C4×D4—432no—
1412C4×D4—432no—
1413C4×D4—431no—
1414C4×D4—431no—
1415C4×D4—438no—
1416C4×D4—434no—
1417C4×D4—438no—
1418C4×D4—434no—
1419C4×D4—432no—
1420C4×D4—432no—
1421C4×D4—432no—
1422C4×D4—432no—
1423C4×D4—432no—
1424C4×D4—432no—
1425C4×D4—434no—
1426C4×D4—434no—
1427C4×D4—438no—
1428C4×D4—438no—
1429C4×D4—438no—
1430C4×D4—438no—
1431C4×D4—438no—
1432C4×D4—438no—
1433C4×D4—432no—
1434C4×D4—432no—
1435C4×D4—431no—
1436C4×D4—431no—
1437C4×D4—432no—
1438C4×D4—432no—
1439C4×D4—438no—
1440C4×D4—434no—
1441C4×D4—438no—
1442C4×D4—434no—
1443C4×D4C22×D4311yescharacteristic
1444C4×D4C22×D4311yescharacteristic
1445C4×D4C22×D4312yes—
1446C4×D4C22×D4312yes—
1447C4×D4C22×D4312yes—
1448C4×D4C22×D4312yes—
1449C4×D4C22×D4314yes—
1450C4×D4C22×D4318yes—
1451C4×D4C22×D4314yes—
1452#117—431no—
1453#117—432no—
1454#117—434no—
1455#117—434no—
1456#117—438no—
1457#117—431no—
1458#117—431no—
1459#117—434no—
1460#117—434no—
1461#117—432no—
1462#117—432no—
1463#117—438no—
1464#117—434no—
1465#117—438no—
1466#117—434no—
1467#117—434no—
1468#117—434no—
1469#117—434no—
1470#117—434no—
1471#117—438no—
1472#117—432no—
1473#117—432no—
1474#117—432no—
1475#117—438no—
1476#117—438no—
1477#117—432no—
1478#117—432no—
1479#117—432no—
1480#117—438no—
1481#117—438no—
1482#117C22×D4311yescharacteristic
1483#117C22×D4312yes—
1484#117C22×D4314yes—
1485#117C22×D4314yes—
1486C2×C4⋊C4—432no—
1487C2×C4⋊C4—434no—
1488C2×C4⋊C4—434no—
1489C2×C4⋊C4—434no—
1490C2×C4⋊C4—432no—
1491C2×C4⋊C4—431no—
1492C2×C4⋊C4—431no—
1493C2×C4⋊C4—432no—
1494C2×C4⋊C4—432no—
1495C2×C4⋊C4—434no—
1496C2×C4⋊C4—434no—
1497C2×C4⋊C4—432no—
1498C2×C4⋊C4—432no—
1499C2×C4⋊C4C22×D4312yes—
1500C2×C4⋊C4C22×D4314yes—
1501C2×C4⋊C4C22×D4312yes—
1502C2×C22⋊C4—434no—
1503C2×C22⋊C4—438no—
1504C2×C22⋊C4—432no—
1505C2×C22⋊C4—432no—
1506C2×C22⋊C4—432no—
1507C2×C22⋊C4—438no—
1508C2×C22⋊C4—434no—
1509C2×C22⋊C4—434no—
1510C2×C42—434no—
1511C2×C42—438no—
1512C2×C42—431no—
1513C2×C42—431no—
1514C2×C42—432no—
1515C2×C42—432no—
1516C2×C42—431no—
1517C2×C42—432no—
1518C2×C42—432no—
1519C2×C42—431no—
1520C2×C42—438no—
1521C2×C42—431no—
1522C2×C42—431no—
1523C2×C42—432no—
1524C2×C42—432no—
1525C2×C42—431no—
1526C2×C42—431no—
1527C2×C42—432no—
1528C2×C42—432no—
1529C2×C42—431no—
1530C2×C42—432no—
1531C2×C42—431no—
1532C2×C42—432no—
1533C2×C42—431no—
1534C2×C42C22×D4311yescharacteristic
1535C2×C42C22×D4312yes—
1536C24—431no—
1537C24—434no—
1538C24—432no—
1539#41—24no—
1540#41—28no—
1541#41—48no—
1542#41—868no—
1543#41—8616no—
1544#41—868no—
1545#41—8616no—
1546#41—864no—
1547#41—868no—
1548#41—864no—
1549#41—868no—
1550#41—864no—
1551#41—868no—
1552#41—1728no—
1553#41—1728no—
1554#41—1728no—
1555C2×Q8—44no—
1556C2×Q8—431no—
1557C2×Q8—432no—
1558C2×Q8—434no—
1559C2×Q8—432no—
1560C2×Q8—434no—
1561C2×Q8—434no—
1562C2×Q8—868no—
1563C2×Q8—864no—
1564C2×Q8—1724no—
1565C2×Q8C23×D4314yes—
1566C2×Q8C23×D4311yescharacteristic
1567C2×Q8C23×D4312yes—
1568C2×Q8C23×D4314yes—
1569C2×D4—432no—
1570C2×D4—434no—
1571C2×D4—432no—
1572C2×D4—434no—
1573C2×D4—432no—
1574C2×D4—434no—
1575C2×D4—438no—
1576C2×D4—438no—
1577C2×D4—434no—
1578C2×D4—434no—
1579C2×D4—432no—
1580C2×D4—434no—
1581C2×D4—431no—
1582C2×D4—432no—
1583C2×D4—432no—
1584C2×D4—432no—
1585C2×D4—438no—
1586C2×D4—868no—
1587C2×D4—864no—
1588C2×D4—8616no—
1589C2×D4—868no—
1590C2×D4—1724no—
1591C2×D4—1724no—
1592C2×D4C23×D4312yes—
1593C2×D4C23×D4312yes—
1594C2×D4C23×D4314yes—
1595C2×D4C23×D4311yescharacteristic
1596C2×D4C23×D4312yes—
1597C2×D4C23×D4312yes—
1598C2×D4C23×D4318yes—
1599C22×C4—431no—
1600C22×C4—438no—
1601C22×C4—431no—
1602C22×C4—431no—
1603C22×C4—431no—
1604C22×C4—431no—
1605C22×C4—434no—
1606C22×C4—432no—
1607C22×C4—431no—
1608C22×C4—431no—
1609C22×C4—432no—
1610C22×C4—432no—
1611C22×C4—434no—
1612C22×C4—438no—
1613C22×C4—431no—
1614C22×C4—431no—
1615C22×C4—431no—
1616C22×C4—431no—
1617C22×C4—432no—
1618C22×C4—434no—
1619C22×C4—432no—
1620C22×C4—432no—
1621C22×C4—432no—
1622C22×C4—432no—
1623C22×C4—434no—
1624C22×C4—434no—
1625C22×C4—431no—
1626C22×C4—431no—
1627C22×C4—432no—
1628C22×C4—432no—
1629C22×C4—431no—
1630C22×C4—431no—
1631C22×C4—432no—
1632C22×C4—432no—
1633C22×C4—438no—
1634C22×C4—438no—
1635C22×C4—8616no—
1636C22×C4—868no—
1637C22×C4—1722no—
1638C22×C4—1724no—
1639C22×C4—1722no—
1640C22×C4—1724no—
1641C22×C4C23×D4311yescharacteristic
1642C22×C4C23×D4311yescharacteristic
1643C22×C4C23×D4312yes—
1644C22×C4C23×D4312yes—
1645C22×C4C23×D4312yes—
1646C22×C4C23×D4314yes—
1647C22×C4C23×D4314yes—
1648C22×C4C23×D4318yes—
1649C22×C4C23×D4311yescharacteristic
1650C4⋊C4—431no—
1651C4⋊C4—431no—
1652C4⋊C4—434no—
1653C4⋊C4—432no—
1654C4⋊C4—432no—
1655C4⋊C4—434no—
1656C4⋊C4—434no—
1657C4⋊C4—432no—
1658C4⋊C4—432no—
1659C4⋊C4—432no—
1660C4⋊C4—432no—
1661C4⋊C4—438no—
1662C4⋊C4—438no—
1663C4⋊C4—438no—
1664C4⋊C4—438no—
1665C4⋊C4—438no—
1666C4⋊C4—432no—
1667C4⋊C4—432no—
1668C4⋊C4—432no—
1669C4⋊C4—432no—
1670C4⋊C4—434no—
1671C4⋊C4—434no—
1672C4⋊C4—438no—
1673C4⋊C4—438no—
1674C4⋊C4—434no—
1675C4⋊C4—438no—
1676C4⋊C4—438no—
1677C4⋊C4—438no—
1678C4⋊C4C23×D4311yescharacteristic
1679C4⋊C4C23×D4311yescharacteristic
1680C4⋊C4C23×D4314yes—
1681C4⋊C4C23×D4312yes—
1682C4⋊C4C23×D4312yes—
1683C4⋊C4C23×D4312yes—
1684C4⋊C4C23×D4312yes—
1685C4⋊C4C23×D4314yes—
1686C4⋊C4C23×D4318yes—
1687C4⋊C4C23×D4314yes—
1688C4⋊C4C23×D4314yes—
1689C4⋊C4C23×D4318yes—
1690C22⋊C4—432no—
1691C22⋊C4—432no—
1692C22⋊C4—432no—
1693C22⋊C4—438no—
1694C22⋊C4—434no—
1695C22⋊C4—434no—
1696C22⋊C4—438no—
1697C22⋊C4—438no—
1698C22⋊C4—432no—
1699C22⋊C4—432no—
1700C22⋊C4—438no—
1701C22⋊C4—438no—
1702C22⋊C4—432no—
1703C22⋊C4—432no—
1704C22⋊C4—438no—
1705C22⋊C4—434no—
1706C22⋊C4—434no—
1707C22⋊C4—438no—
1708C22⋊C4—432no—
1709C22⋊C4—432no—
1710C22⋊C4—434no—
1711C22⋊C4—434no—
1712C22⋊C4—438no—
1713C22⋊C4—438no—
1714C22⋊C4—438no—
1715C22⋊C4—438no—
1716C22⋊C4C23×D4312yes—
1717C22⋊C4C23×D4318yes—
1718C22⋊C4C23×D4312yes—
1719C22⋊C4C23×D4312yes—
1720C22⋊C4C23×D4314yes—
1721C22⋊C4C23×D4314yes—
1722C22⋊C4C23×D4318yes—
1723C22⋊C4C23×D4318yes—
1724C42—432no—
1725C42—432no—
1726C42—431no—
1727C42—431no—
1728C42—431no—
1729C42—438no—
1730C42—431no—
1731C42—431no—
1732C42—432no—
1733C42—432no—
1734C42—432no—
1735C42—432no—
1736C42—432no—
1737C42—431no—
1738C42—431no—
1739C42—431no—
1740C42—432no—
1741C42—432no—
1742C42—431no—
1743C42—431no—
1744C42—431no—
1745C42—431no—
1746C42—438no—
1747C42—438no—
1748C42—438no—
1749C42—438no—
1750C42C23×D4311yescharacteristic
1751C42C23×D4312yes—
1752C42C23×D4311yescharacteristic
1753C42C23×D4311yescharacteristic
1754C42C23×D4311yescharacteristic
1755C42C23×D4312yes—
1756C42C23×D4312yes—
1757C42C23×D4318yes—
1758C23—431no—
1759C23—431no—
1760C23—434no—
1761C23—432no—
1762C23—434no—
1763C23—868no—
1764C23—864no—
1765C23—1724no—
1766C23—1724no—
1767C23—1721no—
1768C23—1721no—
1769C23—1722no—
1770C23—1722no—
1771C23C24×D4312yes—
1772C23C24×D4314yes—
1773C23C24×D4311yescharacteristic
1774Q8—22no—
1775Q8—24no—
1776Q8—28no—
1777Q8—44no—
1778Q8—864no—
1779Q8—868no—
1780Q8—862no—
1781Q8—864no—
1782Q8—868no—
1783Q8—1724no—
1784D4—28no—
1785D4—24no—
1786D4—22no—
1787D4—24no—
1788D4—24no—
1789D4—24no—
1790D4—48no—
1791D4—864no—
1792D4—868no—
1793D4—868no—
1794D4—864no—
1795D4—864no—
1796D4—868no—
1797D4—868no—
1798D4—864no—
1799D4—862no—
1800D4—864no—
1801D4—864no—
1802D4—864no—
1803D4—1728no—
1804D4—1724no—
1805D4—1724no—
1806D4—1728no—
1807D4—1728no—
1808C2×C4—28no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—434no—
1817C2×C4—431no—
1818C2×C4—431no—
1819C2×C4—434no—
1820C2×C4—434no—
1821C2×C4—434no—
1822C2×C4—434no—
1823C2×C4—432no—
1824C2×C4—431no—
1825C2×C4—432no—
1826C2×C4—431no—
1827C2×C4—432no—
1828C2×C4—434no—
1829C2×C4—438no—
1830C2×C4—431no—
1831C2×C4—431no—
1832C2×C4—868no—
1833C2×C4—864no—
1834C2×C4—868no—
1835C2×C4—864no—
1836C2×C4—868no—
1837C2×C4—864no—
1838C2×C4—868no—
1839C2×C4—864no—
1840C2×C4—862no—
1841C2×C4—862no—
1842C2×C4—864no—
1843C2×C4—862no—
1844C2×C4—862no—
1845C2×C4—864no—
1846C2×C4—1722no—
1847C2×C4—1722no—
1848C2×C4—1721no—
1849C2×C4—1721no—
1850C2×C4—1722no—
1851C2×C4—1722no—
1852C2×C4—1721no—
1853C2×C4—1721no—
1854C2×C4—1728no—
1855C2×C4—1728no—
1856C2×C4—1722no—
1857C2×C4—1721no—
1858C2×C4—1722no—
1859C2×C4—1721no—
1860C2×C4—1724no—
1861C2×C4—1728no—
1862C2×C4#41×D4314yes—
1863C2×C4C24×D4312yes—
1864C2×C4C24×D4318yes—
1865C2×C4C24×D4312yes—
1866C2×C4C24×D4311yescharacteristic
1867C2×C4C24×D4311yescharacteristic
1868C2×C4C24×D4312yes—
1869C2×C4C24×D4314yes—
1870C2×C4C24×D4311yescharacteristic
1871C2×C4C24×D4311yescharacteristic
1872C2×C4C24×D4311yescharacteristic
1873C2×C4C24×D4311yescharacteristic
1874C22—21no—
1875C22—21no—
1876C22—24no—
1877C22—22no—
1878C22—22no—
1879C22—24no—
1880C22—22no—
1881C22—24no—
1882C22—432no—
1883C22—432no—
1884C22—861no—
1885C22—861no—
1886C22—861no—
1887C22—861no—
1888C22—864no—
1889C22—862no—
1890C22—862no—
1891C22—864no—
1892C22—862no—
1893C22—864no—
1894C22—3448no—
1895C22—1724no—
1896C22—1728no—
1897C22C2×#41×D4312yes—
1898C22C25×D4311yescharacteristic
1899C4—24no—
1900C4—22no—
1901C4—22no—
1902C4—21no—
1903C4—28no—
1904C4—22no—
1905C4—21no—
1906C4—432no—
1907C4—432no—
1908C4—862no—
1909C4—864no—
1910C4—861no—
1911C4—862no—
1912C4—861no—
1913C4—861no—
1914C4—862no—
1915C4—861no—
1916C4—868no—
1917C4C2×#41×D4312yes—
1918C4C2×#41×D4312yes—
1919C4#1458373412yes—
1920C4#1458373612yes—
1921C2—22no—
1922C2—44no—
1923C2—42no—
1924C2—862no—
1925C2—862no—
1926C2—1724no—
1927C2—1722no—
1928C2C22×#41×D4311yescharacteristic
1929C2C2×#1458373411yescharacteristic
1930C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3511C2
hypercenter#3511D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #19148516C2semidirect
2. #19148512C2semidirect
3. #19148508C2semidirect
4. #19148506C2semidirect
5. #19148502C2semidirect
6. #19148487C2semidirect
7. #19148474C2semidirect
8. #19148464C2semidirect
9. #19148458C2semidirect
10. #19148450C2semidirect
11. #19148445C2semidirect
12. #19148437C2semidirect
13. #19148431C2semidirect
14. #19148424C2semidirect
15. #19148189C2semidirect
16. #19148185C2semidirect
17. #19148161C2semidirect
18. #19148158C2semidirect
19. #19148156C2semidirect
20. #19148152C2semidirect
21. #19147982C2semidirect
22. #19147923C2semidirect
23. #19147892C2semidirect
24. #19147890C2semidirect
25. C2×#14583454C2semidirect
26. #532×D43C2semidirect
27. #19147795C2semidirect
28. C4×#41×D43C2semidirect
29. C43×#3511C2semidirect
32. #14583633C22semidirect
33. #14583632C22semidirect
34. #14583631C22semidirect
35. #14583631C22semidirect
36. #14583626C22semidirect
37. #14583625C22semidirect
38. #14583623C22semidirect
39. #14583622C22semidirect
40. #14583620C22semidirect
41. #14583620C22semidirect
42. #14583619C22semidirect
43. #14583617C22semidirect
44. #14583616C22semidirect
45. #14583615C22semidirect
46. #14583614C22semidirect
47. #14583614C22semidirect
48. #14583610C22semidirect
49. #14583609C22semidirect
50. #14583606C22semidirect
51. #14583601C22semidirect
52. #14583601C22semidirect
53. #14583601C22semidirect
54. #14583598C22semidirect
55. #14583597C22semidirect
56. #14583597C22semidirect
57. #14583596C22semidirect
58. #14583595C22semidirect
59. #14583595C22semidirect
60. #14583593C22semidirect
61. #14583592C22semidirect
62. #14583591C22semidirect
63. #14583590C22semidirect
64. #14583588C22semidirect
65. #14583588C22semidirect
66. #14583587C22semidirect
67. #14583584C22semidirect
68. #14583583C22semidirect
69. #14583583C22semidirect
70. #14583579C22semidirect
71. #14583576C22semidirect
72. #14583574C22semidirect
73. #14583572C22semidirect
74. #14583568C22semidirect
75. #14583567C22semidirect
76. #14583560C22semidirect
77. #14583558C22semidirect
78. #14583555C22semidirect
79. #14583554C22semidirect
80. #14583553C22semidirect
81. #14583552C22semidirect
82. #14583546C22semidirect
83. #14583544C22semidirect
84. #14583542C22semidirect
85. #14583537C22semidirect
86. #14583523C22semidirect
87. #14583520C22semidirect
88. #14583518C22semidirect
89. #14583509C22semidirect
90. #14583507C22semidirect
91. #14583502C22semidirect
92. #14583500C22semidirect
93. #14583495C22semidirect
94. #14583490C22semidirect
95. #14583485C22semidirect
96. #14583483C22semidirect
97. #14583480C22semidirect
98. #14583477C22semidirect
99. #14583477C22semidirect
101. #14583472C22semidirect
103. #14583465C22semidirect
105. #14583456C22semidirect
106. #14583454C22semidirect
107. #14583454C22semidirect
108. #14583454C22semidirect
109. #14583454C22semidirect
110. #14583454C22semidirect
111. #14583454C22semidirect
112. #14583454C22semidirect
113. #14583454C22semidirect
114. #14583454C22semidirect
115. #14583454C22semidirect
117. #14583450C22semidirect
118. #14583449C22semidirect
119. #14583449C22semidirect
122. #14583447C22semidirect
125. #14583445C22semidirect
126. #14583444C22semidirect
127. #14583444C22semidirect
128. #14583444C22semidirect
129. C2×#13063325C22semidirect
130. C4⋊Q8×D43C22semidirect
131. #127×D43C22semidirect
132. #14583436C22semidirect
133. #14583436C22semidirect
134. #14583435C22semidirect
135. #14583435C22semidirect
136. #14583435C22semidirect
137. #14583434C22semidirect
138. #14583434C22semidirect
139. #14583432C22semidirect
140. #14583431C22semidirect
141. #14583431C22semidirect
142. #14583430C22semidirect
143. #14583430C22semidirect
144. #14583428C22semidirect
145. #14583428C22semidirect
146. #14583428C22semidirect
147. #14583426C22semidirect
148. C2×#13063316C22semidirect
149. #124×D43C22semidirect
151. #14583412C22semidirect
152. #14583412C22semidirect
153. #14583411C22semidirect
155. #14583409C22semidirect
156. #14583409C22semidirect
157. #14583406C22semidirect
162. #14583382C22semidirect
163. #14583380C22semidirect
164. #14583380C22semidirect
165. #14583379C22semidirect
166. #14583379C22semidirect
167. #14583375C22semidirect
169. #14583371C22semidirect
170. #41×Dic43C22semidirect
171. #41×Dic43C22semidirect
174. C4×#10621902C22semidirect
175. C4×#10621902C22semidirect
177. C4×#10621898C22semidirect
179. #14583367C22semidirect
180. #14583367C22semidirect
183. C4×#10621900C22semidirect
184. C4×#10621900C22semidirect
185. C4×#10621900C22semidirect
186. C4×#10621900C22semidirect
187. C4×#10621900C22semidirect
188. C2×Q8×Dic43C22semidirect
189. C2×#13063290C22semidirect
190. C4×Q8×D43C22semidirect
191. C4×Q8×D43C22semidirect
194. C4×D4×D43C22semidirect
195. C4×D4×D43C22semidirect
196. C4×D4×D43C22semidirect
197. C4×D4×D43C22semidirect
199. C2×#13063283C22semidirect
201. #117×D43C22semidirect
202. #117×D43C22semidirect
204. C2×C42×D43C22semidirect
205. C43×#556C22semidirect
206. C43×#555C22semidirect
207. C43×#554C22semidirect
208. C43×#553C22semidirect
209. C43×#548C22semidirect
210. C43×#547C22semidirect
211. C43×#542C22semidirect
212. C43×#537C22semidirect
213. C43×#533C22semidirect
214. C43×#532C22semidirect
215. C43×#532C22semidirect
216. C2×C4⋊Q8×C43C22semidirect
217. C43×#520C22semidirect
218. C4×#41×C43C22semidirect
650. C2×C4×D43#41semidirect
961. #3511D43semidirect
1010. #556C2×D43semidirect
1014. #555C2×D43semidirect
1018. #554C2×D43semidirect
1030. #553C2×D43semidirect
1048. #548C2×D43semidirect
1052. #547C2×D43semidirect
1060. #542C2×D43semidirect
1072. #537C2×D43semidirect
1089. #533C2×D43semidirect
1103. #532C2×D43semidirect
1104. #532C2×D43semidirect
1107. C2×C4⋊Q8C2×D43semidirect
1144. #520C2×D43semidirect
1166. C4×#41C2×D43semidirect
1184. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485162
#191485122
#191485082
#191485062
#191485022
#191484872
#191484742
#191484642
#191484582
#191484502
#191484452
#191484372
#191484312
#191484242
#191481892
#191481852
#191481612
#191481582
#191481562
#191481522
#191479822
#191479232
#191478922
#191478902
C2×#145834542
#532×D432
#191477952
C4×#41×D432
C43×#35112
#6281543