Finite Group Databasebeta

← #26005446

Subgroups — #26005446

Order 11008.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149190C214yesmaximal, complemented
2#19149152C214yesmaximal, complemented
3#19149041C212yesmaximal, complemented
4#19149023C214yesmaximal, complemented
5#19148985C212yesmaximal, complemented
6#19148970C212yesmaximal, complemented
7#19148929C212yesmaximal, complemented
8#19148790C214yesmaximal, complemented
9#19148643C212yesmaximal, complemented
10#19148629C214yesmaximal, complemented
11#19148628C212yesmaximal, complemented
12#19148602C212yesmaximal, complemented
13#19148559C214yesmaximal, complemented
14#19148555C212yesmaximal, complemented
15#19148512C212yesmaximal, complemented
16#19148449C211yesmaximal, characteristic, complemented
17#19148435C214yesmaximal, complemented
18#19148384C212yesmaximal, complemented
19#19148366C211yesmaximal, characteristic, complemented
20#19148357C211yesmaximal, characteristic, complemented
21#19148318C214yesmaximal, complemented
22#19148273C212yesmaximal, complemented
23#19148265C212yesmaximal, complemented
24#19147892C211yesmaximal, characteristic, complemented
25#532×D43C211yesmaximal, characteristic, complemented
26C2×#14583436C211yesmaximal, characteristic, complemented
27C43×#3507C211yesmaximal, characteristic, complemented
28C2×#13063373C2212yescomplemented
29C2×#13063371C2212yescomplemented
30C2×#41×D43C2212yescomplemented
31#14583653C2218yescomplemented
32#14583645C2218yescomplemented
33#14583640C2218yescomplemented
34#14583639C2218yescomplemented
35#14583634C2214yescomplemented
36#14583622C2212yescomplemented
37#14583615C2212yescomplemented
38#14583614C2214yescomplemented
39#14583612C2218yescomplemented
40#14583609C2214yescomplemented
41#14583602C2214yescomplemented
42#14583602C2218yescomplemented
43#14583602C2214yescomplemented
44#14583602C2214yescomplemented
45#14583600C2218yescomplemented
46#14583598C2218yescomplemented
47#14583597C2214yescomplemented
48#14583595C2218yescomplemented
49#14583593C2214yescomplemented
50#14583588C2214yescomplemented
51#14583584C2214yescomplemented
52#14583574C2218yescomplemented
53#14583574C2218yescomplemented
54#14583573C2218yescomplemented
55#14583572C2218yescomplemented
56#14583571C2212yescomplemented
57#14583571C2214yescomplemented
58#14583571C2212yescomplemented
59#14583571C2214yescomplemented
60#14583571C2212yescomplemented
61Q8×D172C2212yescomplemented
62Q8×D172C2212yescomplemented
63#14583564C2214yescomplemented
64#14583561C2214yescomplemented
65#14583561C2214yescomplemented
66#14583561C2214yescomplemented
67#14583559C2214yescomplemented
68#14583559C2214yescomplemented
69#14583557C2214yescomplemented
70#14583554C2212yescomplemented
71#14583552C2212yescomplemented
72#14583552C2214yescomplemented
73#14583552C2212yescomplemented
74#14583547C2218yescomplemented
75#14583545C2214yescomplemented
76#14583544C2214yescomplemented
77#14583544C2218yescomplemented
78#14583542C2214yescomplemented
79#14583542C2214yescomplemented
80#14583542C2214yescomplemented
81#14583542C2214yescomplemented
82#14583541C2218yescomplemented
83#14583541C2218yescomplemented
84#14583541C2218yescomplemented
85#14583540C2218yescomplemented
86#14583540C2214yescomplemented
87#14583540C2214yescomplemented
88D4×D172C2214yescomplemented
89D4×D172C2212yescomplemented
90D4×D172C2214yescomplemented
91D4×D172C2218yescomplemented
92#14583534C2212yescomplemented
93#14583529C2214yescomplemented
94#14583522C2218yescomplemented
95#14583521C2214yescomplemented
96#14583518C2214yescomplemented
97#14583507C2214yescomplemented
98#14583505C2214yescomplemented
99#14583505C2218yescomplemented
100#14583504C2218yescomplemented
101#14583500C2214yescomplemented
102#14583500C2214yescomplemented
103#14583497C2218yescomplemented
104#14583490C2218yescomplemented
105#14583489C2218yescomplemented
106#14583489C2214yescomplemented
107#14583488C2218yescomplemented
108#14583488C2218yescomplemented
109#14583488C2218yescomplemented
110#14583485C2218yescomplemented
111#14583480C2214yescomplemented
112#14583480C2212yescomplemented
113#14583480C2214yescomplemented
114#14583479C2214yescomplemented
115#14583477C2212yescomplemented
116#14583474C2214yescomplemented
117#14583472C2214yescomplemented
118#14583468C2212yescomplemented
119#14583468C2214yescomplemented
120#14583467C2214yescomplemented
121#14583467C2214yescomplemented
122#14583460C2218yescomplemented
123#14583457C2214yescomplemented
124#14583454C2211yescharacteristic, complemented
125#14583454C2211yescharacteristic, complemented
126#14583450C2214yescomplemented
127#14583450C2211yescharacteristic, complemented
128#14583450C2211yescharacteristic, complemented
129#14583450C2211yescharacteristic, complemented
130#14583449C2214yescomplemented
131#14583449C2211yescharacteristic, complemented
132#14583449C2211yescharacteristic, complemented
133#14583448C2212yescomplemented
134#14583447C2211yescharacteristic, complemented
135#14583446C2212yescomplemented
136#14583446C2212yescomplemented
137#14583445C2212yescomplemented
138#14583444C2212yescomplemented
139#14583444C2212yescomplemented
140C4⋊Q8×D43C2211yescharacteristic, complemented
141#127×D43C2211yescharacteristic, complemented
142#14583436C2212yescomplemented
143#14583436C2212yescomplemented
144#14583436C2214yescomplemented
145#14583436C2212yescomplemented
146#14583436C2212yescomplemented
147#14583436C2212yescomplemented
148#14583436C2212yescomplemented
149#14583436C2212yescomplemented
150#14583436C2212yescomplemented
151#14583436C2212yescomplemented
152#14583436C2212yescomplemented
153#14583435C2212yescomplemented
154#14583435C2212yescomplemented
155#14583434C2212yescomplemented
156#14583434C2212yescomplemented
157#14583431C2214yescomplemented
158C2×#13063320C2212yescomplemented
159C2×#13063316C2211yescharacteristic, complemented
160C2×#13063314C2211yescharacteristic, complemented
161#124×D43C2214yescomplemented
162#124×D43C2212yescomplemented
163#14583412C2214yescomplemented
164#14583412C2214yescomplemented
165#14583412C2212yescomplemented
166#14583412C2212yescomplemented
167#14583411C2214yescomplemented
168#14583411C2212yescomplemented
169C2×#13063310C2212yescomplemented
170C2×#13063301C2211yescharacteristic, complemented
171C22⋊Q8×D43C2214yescomplemented
172C2×#13063300C2211yescharacteristic
173C2×#13063300C2214yescomplemented
174#121×D43C2214yescomplemented
175#121×D43C2212yescomplemented
176#121×D43C2212yescomplemented
177#14583381C2214yescomplemented
178#14583379C2212yescomplemented
179#14583373C2218yescomplemented
180#14583371C2214yescomplemented
181C4×#10621902C2212yescomplemented
182C4×#10621902C2212yescomplemented
183#14583367C2212yescomplemented
184C2×C4×D172C2211yescharacteristic, complemented
185C2×C4×D172C2212yescomplemented
186C4×D4×D43C2212yescomplemented
187C4×D4×D43C2212yescomplemented
188C2×#13063282C2212yescomplemented
189C2×C42×D43C2211yescharacteristic, complemented
190C43×#559C2212yescomplemented
191C43×#557C2212yescomplemented
192C43×#556C2214yescomplemented
193C43×#556C2212yescomplemented
194C43×#554C2212yescomplemented
195C43×#552C2214yescomplemented
196C43×#539C2214yescomplemented
197C43×#536C2212yescomplemented
198C43×#533C2211yescharacteristic, complemented
199C43×#532C2211yescharacteristic
200C43×#529C2214yescomplemented
201C43×#520C2212yescomplemented
202C2×C4×Q8×C43C2211yescharacteristic, complemented
203#13063373—48no—
204#13063371—48no—
205C2×#10621902C2312yes—
206C2×#10621902C2314yes—
207C2×#10621902C2314yes—
208C2×#10621902C2314yes—
209C2×#10621902C2314yes—
210C2×#10621902C2312yes—
211C2×#10621902C2312yes—
212C2×#10621898C2312yes—
213C2×#10621898C2312yes—
214C2×#10621898C2314yes—
215C2×#10621898C2314yes—
216C2×#10621898C2318yes—
217C2×#10621900C2312yes—
218C2×#10621900C2314yes—
219#41×D43—48no—
220C2×Q8×D43C2314yes—
221C2×Q8×D43C2314yes—
222C2×Q8×D43C2312yes—
223C22×D172C2311yescharacteristic
224C22×D172C2312yes—
225C22×D172C2318yes—
226C22×D172C2314yes—
227C2×D4×D43C2312yes—
228C2×D4×D43C2312yes—
229C2×D4×D43C2314yes—
230C2×D4×D43C2314yes—
231C2×D4×D43C2318yes—
232C2×D4×D43C2312yes—
233C2×D4×D43C2314yes—
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2312yes—
238C22×C4×D43C2314yes—
239#13063325C2311yescharacteristic
240#13063325C2314yes—
241#13063325C2311yescharacteristic
242#13063324C2318yes—
243#13063324C2312yes—
244#13063324C2312yes—
245#13063323C2312yes—
246#13063322C2311yescharacteristic
247#13063322C2314yes—
248#13063322C2314yes—
249#13063322C2318yes—
250#13063322C2311yescharacteristic
251#13063321C2312yes—
252#13063321C2312yes—
253#13063321C2312yes—
254#13063320C2314yes—
255#13063320C2318yes—
256#13063320C2314yes—
257#13063320C2318yes—
258#13063320C2318yes—
259#13063320C2314yes—
260#13063320C2314yes—
261#13063320C2314yes—
262#13063320C2314yes—
263#13063319C2318yes—
264#13063318C2318yes—
265#13063317C2318yes—
266#13063316C2312yes—
267#13063316C2312yes—
268#13063316C2312yes—
269#13063316C2312yes—
270#13063316C2312yes—
271#13063316C2312yes—
272#13063315C2318yes—
273#13063314C2312yes—
274#13063314C2312yes—
275#13063314C2318yes—
276#13063314C2312yes—
277#13063314C2312yes—
278#13063314C2312yes—
279#13063314C2312yes—
280#13063314C2312yes—
281#13063313C2318yes—
282#13063313C2312yes—
283#13063313C2312yes—
284#13063313C2318yes—
285#13063313C2314yes—
286#13063312C2312yes—
287#13063311C2318yes—
288#13063311C2318yes—
289#13063311C2318yes—
290#13063311C2314yes—
291#13063311C2314yes—
292#13063310C2318yes—
293#13063310C2318yes—
294#13063310C2318yes—
295#13063310C2318yes—
296#13063310C2318yes—
297#13063310C2314yes—
298#13063310C2318yes—
299#13063310C2318yes—
300#13063310C2318yes—
301#13063310C2314yes—
302#13063310C2314yes—
303#13063310C2314yes—
304#13063310C2314yes—
305#13063310C2314yes—
306#13063309C2318yes—
307#13063309C2314yes—
308#13063308C2318yes—
309#13063307C2318yes—
310#13063307C2318yes—
311#13063307C2318yes—
312#13063307C2318yes—
313#13063305C2314yes—
314#13063305C2318yes—
315#13063305C2318yes—
316#13063305C2314yes—
317#13063305C2318yes—
318#13063305C2312yes—
319#13063305C2312yes—
320#13063304C2314yes—
321#13063303C2318yes—
322#13063303C2318yes—
323#13063303C2318yes—
324#13063303C2318yes—
325#13063302C2318yes—
326#13063301C2312yes—
327#13063301C2314yes—
328#13063301C2314yes—
329#13063301C2312yes—
330#13063301C2312yes—
331#13063301C2312yes—
332#13063301C2312yes—
333#13063301C2312yes—
334#13063300C2314yes—
335#13063300C2314yes—
336#13063300C2318yes—
337#13063300C2314yes—
338#13063300C2312yes—
339#13063300C2314yes—
340#13063300C2314yes—
341#13063300C2318yes—
342#13063300C2318yes—
343#13063300C2318yes—
344#13063300C2312yes—
345#13063300C2312yes—
346#13063300C2318yes—
347#13063300C2318yes—
348#13063300C2314yes—
349#13063300C2318yes—
350#13063300C2318yes—
351#13063300C2312yes—
352#13063300C2318yes—
353#13063300C2312yes—
354#13063300C2312yes—
355#13063300C2312yes—
356#13063300C2312yes—
357#13063300C2312yes—
358#13063300C2312yes—
359#13063299C2314yes—
360#13063299C2318yes—
361#13063299C2318yes—
362#13063299C2318yes—
363#13063299C2318yes—
364#13063299C2312yes—
365#13063299C2312yes—
366#13063299C2312yes—
367#13063299C2312yes—
368#13063298C2318yes—
369#13063298C2318yes—
370#13063298C2318yes—
371#13063298C2318yes—
372#13063298C2318yes—
373#13063298C2318yes—
374#13063298C2314yes—
375#13063298C2314yes—
376#13063297C2314yes—
377#13063297C2318yes—
378#13063297C2314yes—
379#13063296C2314yes—
380#13063296C2314yes—
381#13063296C2312yes—
382#13063296C2312yes—
383#13063295C2318yes—
384#13063295C2318yes—
385#13063295C2318yes—
386#13063295C2318yes—
387#13063295C2318yes—
388#13063295C2318yes—
389#13063295C2314yes—
390#13063295C2318yes—
391#13063295C2318yes—
392#13063293C2318yes—
393Q8×Dic43C2312yes—
394Q8×Dic43C2312yes—
395C4×Dic86C2314yes—
396#13063290C2312yes—
397#13063290C2312yes—
398C4×D172C2312yes—
399C4×D172C2314yes—
400C4×D172C2312yes—
401C4×D172C2312yes—
402C4×D172C2312yes—
403C4×D172C2314yes—
404C4×D172C2318yes—
405C4×D172C2312yes—
406C4×D172C2312yes—
407C4×D172C2314yes—
408C4×D172C2318yes—
409C4×D172C2314yes—
410C4×D172C2314yes—
411C4×D172C2318yes—
412C4×D172C2318yes—
413C4×D172C2314yes—
414C4×D172C2312yes—
415C4×D172C2314yes—
416C4×D172C2314yes—
417C4×D172C2312yes—
418C4×D172C2314yes—
419D4×Dic43C2312yes—
420D4×Dic43C2312yes—
421#13063287C2318yes—
422#13063287C2318yes—
423#13063287C2318yes—
424#13063287C2312yes—
425#13063287C2312yes—
426#13063287C2318yes—
427#13063287C2312yes—
428#13063287C2312yes—
429#13063287C2312yes—
430#13063287C2314yes—
431#13063287C2314yes—
432#13063287C2312yes—
433C4×C22⋊D43C2314yes—
434C4×C22⋊D43C2314yes—
435C4×C22⋊D43C2318yes—
436(C22⋊D43)⋊C4C2318yes—
437(C22⋊D43)⋊C4C2314yes—
438(C22⋊D43)⋊C4C2314yes—
439(C22⋊D43)⋊C4C2318yes—
440(C22⋊D43)⋊C4C2314yes—
441(C22⋊D43)⋊C4C2314yes—
442#13063284C2318yes—
443#13063283C2314yes—
444#13063283C2312yes—
445#13063283C2314yes—
446#13063283C2314yes—
447#13063283C2312yes—
448#13063283C2314yes—
449#13063282C2314yes—
450#13063282C2314yes—
451#13063282C2318yes—
452#13063282C2314yes—
453#13063282C2314yes—
454#13063282C2314yes—
455C2×C4⋊Dic43C2312yes—
456C2×C4⋊Dic43C2311yescharacteristic
457C2×Dic43⋊C4C2312yes—
458C2×Dic43⋊C4C2312yes—
459C4⋊C4×D43C2314yes—
460C4⋊C4×D43C2314yes—
461C4⋊C4×D43C2318yes—
462C4⋊C4×D43C2312yes—
463C4⋊C4×D43C2312yes—
464C2×(C2×D43)⋊C4C2318yes—
465C2×(C2×D43)⋊C4C2312yes—
466C2×(C2×D43)⋊C4C2312yes—
467C2×(C2×D43)⋊C4C2312yes—
468C2×(C2×D43)⋊C4C2312yes—
469C2×(C2×D43)⋊C4C2312yes—
470C22⋊C4×D43C2318yes—
471C22⋊C4×D43C2318yes—
472C22⋊C4×D43C2314yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2318yes—
475C22⋊C4×D43C2314yes—
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2311yescharacteristic
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2311yescharacteristic
482C42×D43C2311yescharacteristic
483C42×D43C2311yescharacteristic
484C42×D43C2311yescharacteristic
485C42×D43C2311yescharacteristic
486C42×D43C2311yescharacteristic
487C42×D43C2314yes—
488C2×#41×C43C2312yes—
489C22×Q8×C43C2311yescharacteristic
490C4⋊Q8×C43C2311yescharacteristic
491C4⋊Q8×C43C2311yescharacteristic
492C4⋊Q8×C43C2314yes—
493C4⋊Q8×C43C2311yescharacteristic
494#127×C43C2311yescharacteristic
495#126×C43C2318yes—
496#126×C43C2318yes—
497#125×C43C2314yes—
498#125×C43C2312yes—
499#125×C43C2318yes—
500#124×C43C2314yes—
501#124×C43C2314yes—
502#124×C43C2312yes—
503#123×C43C2318yes—
504#123×C43C2318yes—
505C22⋊Q8×C43C2314yes—
506C22⋊Q8×C43C2314yes—
507C22⋊Q8×C43C2312yes—
508C22⋊Q8×C43C2312yes—
509C22⋊Q8×C43C2318yes—
510#121×C43C2312yes—
511#121×C43C2312yes—
512C4×Q8×C43C2312yes—
513C4×Q8×C43C2312yes—
514C4×Q8×C43C2314yes—
515C4×Q8×C43C2312yes—
516C4×Q8×C43C2312yes—
517C4×Q8×C43C2314yes—
518C4×Q8×C43C2312yes—
519C4×Q8×C43C2312yes—
520C4×D4×C43C2312yes—
521C4×D4×C43C2318yes—
522C4×D4×C43C2314yes—
523C4×D4×C43C2314yes—
524C4×D4×C43C2312yes—
525#117×C43C2318yes—
526#117×C43C2312yes—
527#117×C43C2314yes—
528C2×C4⋊C4×C43C2311yescharacteristic
529C2×C4⋊C4×C43C2312yes—
530C2×C4⋊C4×C43C2314yes—
531C2×C42×C43C2312yes—
532C2×C42×C43C2311yescharacteristic
533C23×D43C2411yescharacteristic
534C23×D43C2414yes—
535C23×D43C2412yes—
536C23×D43C2418yes—
537#41×C43—28no—
538C2×Q8×C43—24no—
539C2×Q8×C43C2412yes—
540C2×Q8×C43C2412yes—
541C2×Q8×C43C2412yes—
542C2×Q8×C43C2412yes—
543C2×Q8×C43C2412yes—
544C2×D4×C43C2412yes—
545C2×D4×C43C2414yes—
546C2×D4×C43C2412yes—
547C2×D4×C43C2412yes—
548C22×C4×C43C2411yescharacteristic
549C22×C4×C43C2412yes—
550C22×C4×C43C2414yes—
551C22×C4×C43C2412yes—
552C22×C4×C43C2411yescharacteristic
553C22×C4×C43C2418yes—
554C22×C4×C43C2411yescharacteristic
555C2×C22⋊D43C2414yes—
556C2×C22⋊D43C2414yes—
557C2×C22⋊D43C2418yes—
558C2×C22⋊D43C2414yes—
559C2×C22⋊D43C2414yes—
560C2×C22⋊D43C2418yes—
561C2×C22⋊D43C2414yes—
562C2×C22⋊D43C2414yes—
563C22×Dic43C2411yescharacteristic
564C22×Dic43C2411yescharacteristic
565C22×Dic43C2411yescharacteristic
566C22×Dic43C2412yes—
567C22×Dic43C2414yes—
568#10621902—44no—
569#10621902—44no—
570#10621902—48no—
571#10621902—44no—
572#10621902—48no—
573#10621902—48no—
574#10621902—48no—
575Q8×D43—44no—
576Q8×D43—48no—
577Q8×D43—48no—
578#10621900—44no—
579#10621900—48no—
580D4×D43—44no—
581D4×D43—48no—
582D4×D43—416no—
583D4×D43—44no—
584D4×D43—48no—
585D4×D43—44no—
586D4×D43—48no—
587#10621898—28no—
588#10621898—28no—
589#10621898—48no—
590#10621898—48no—
591#10621898—416no—
592C2×D172—24no—
593C2×D172—44no—
594C2×D172—416no—
595C2×D172—48no—
596C2×D172C2414yes—
597C2×D172C2412yes—
598C2×D172C2412yes—
599C2×D172C2412yes—
600C2×D172C2414yes—
601C2×D172C2412yes—
602C2×D172C2412yes—
603C2×D172C2412yes—
604C2×D172C2418yes—
605C2×D172C2418yes—
606C2×D172C2412yes—
607C2×D172C2414yes—
608C2×D172C2412yes—
609C2×D172C2414yes—
610C2×D172C2418yes—
611C2×D172C2418yes—
612C2×D172C2418yes—
613C2×D172C2414yes—
614C2×C4×D43—24no—
615C2×C4×D43—42no—
616C2×C4×D43—42no—
617C2×C4×D43—44no—
618C2×C4×D43—48no—
619C2×C4×D43C2411yescharacteristic
620C2×C4×D43C2411yescharacteristic
621C2×C4×D43C2411yescharacteristic
622C2×C4×D43C2411yescharacteristic
623C2×C4×D43C2411yescharacteristic
624C2×C4×D43C2411yescharacteristic
625C2×C4×D43C2411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×C4×D43C2414yes—
628C2×C4×D43C2414yes—
629C2×C4×D43C2414yes—
630C2×C4×D43C2411yescharacteristic
631C2×C4×D43C2411yescharacteristic
632C2×C4×D43C2411yescharacteristic
633C2×C4×D43C2411yescharacteristic
634C2×C4×D43C2414yes—
635C2×C4×D43C2414yes—
636C2×C4×D43C2414yes—
637C2×C4×D43C2414yes—
638C2×C4×D43C2418yes—
639C2×C4×D43C2418yes—
640C2×C4×D43C2418yes—
641C2×C4×D43C2418yes—
642C2×C4×D43C2414yes—
643C2×Dic86C2412yes—
644C2×Dic86C2412yes—
645C2×Dic86C2418yes—
646C2×Dic86C2414yes—
647C4⋊C4×C43C2412yes—
648C4⋊C4×C43C2412yes—
649C4⋊C4×C43C2412yes—
650C4⋊C4×C43C2418yes—
651C4⋊C4×C43C2414yes—
652C4⋊C4×C43C2414yes—
653C4⋊C4×C43C2412yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2418yes—
656C4⋊C4×C43C2412yes—
657C4⋊C4×C43C2412yes—
658C4⋊C4×C43C2412yes—
659C4⋊C4×C43C2414yes—
660C4⋊C4×C43C2418yes—
661C4⋊C4×C43C2412yes—
662C22⋊C4×C43C2414yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2418yes—
665C22⋊C4×C43C2418yes—
666C22⋊C4×C43C2414yes—
667C22⋊C4×C43C2418yes—
668C42×C43C2414yes—
669C42×C43C2411yescharacteristic
670C42×C43C2411yescharacteristic
671C42×C43C2414yes—
672C42×C43C2411yescharacteristic
673C42×C43C2411yescharacteristic
674C42×C43C2418yes—
675C42×C43C2414yes—
676C22⋊Dic43C2414yes—
677C22⋊Dic43C2414yes—
678C22⋊Dic43C2418yes—
679(C2×D43)⋊C4C2414yes—
680(C2×D43)⋊C4C2414yes—
681(C2×D43)⋊C4C2414yes—
682(C2×D43)⋊C4C2414yes—
683(C2×D43)⋊C4C2414yes—
684(C2×D43)⋊C4C2418yes—
685(C2×D43)⋊C4C2414yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2414yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2418yes—
690(C2×D43)⋊C4C2418yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2418yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2418yes—
703(C2×D43)⋊C4C2418yes—
704(C2×D43)⋊C4C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707C4⋊Dic43C2412yes—
708C4⋊Dic43C2412yes—
709C4⋊Dic43C2414yes—
710C4⋊Dic43C2412yes—
711C4⋊Dic43C2412yes—
712C4⋊Dic43C2414yes—
713C4⋊Dic43C2412yes—
714C4⋊Dic43C2414yes—
715C4⋊Dic43C2414yes—
716C4⋊Dic43C2412yes—
717C4⋊Dic43C2418yes—
718Dic43⋊C4C2414yes—
719Dic43⋊C4C2418yes—
720Dic43⋊C4C2414yes—
721Dic43⋊C4C2414yes—
722Dic43⋊C4C2418yes—
723Dic43⋊C4C2414yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2414yes—
726Dic43⋊C4C2414yes—
727Dic43⋊C4C2414yes—
728C4×Dic43C2411yescharacteristic
729C4×Dic43C2411yescharacteristic
730C4×Dic43C2411yescharacteristic
731C4×Dic43C2411yescharacteristic
732C4×Dic43C2411yescharacteristic
733C4×Dic43C2411yescharacteristic
734C4×Dic43C2411yescharacteristic
735C4×Dic43C2411yescharacteristic
736C4×Dic43C2411yescharacteristic
737C4×Dic43C2411yescharacteristic
738C4×Dic43C2411yescharacteristic
739C4×Dic43C2411yescharacteristic
740C4×Dic43C2414yes—
741C4×Dic43C2414yes—
742C4×Dic43C2418yes—
743C23×C43C2514yes—
744C23×C43C2511yescharacteristic
745C22×D43—22no—
746C22×D43—24no—
747C22×D43—22no—
748C22×D43—28no—
749C22×D43—41no—
750C22×D43—44no—
751C22×D43—42no—
752C22×D43—42no—
753C22×D43—44no—
754C22×D43—48no—
755C22×D43—48no—
756C22×D43—48no—
757C22×D43C2514yes—
758C22×D43C2514yes—
759C22×D43C2511yescharacteristic
760C22×D43C2514yes—
761C22×D43C2511yescharacteristic
762Q8×C43—24no—
763Q8×C43—24no—
764Q8×C43—24no—
765Q8×C43—24no—
766Q8×C43—42no—
767D4×C43—28no—
768D4×C43—24no—
769D4×C43—24no—
770D4×C43—42no—
771C2×C4×C43—24no—
772C2×C4×C43—28no—
773C2×C4×C43—22no—
774C2×C4×C43—41no—
775C2×C4×C43—48no—
776C2×C4×C43—42no—
777C2×C4×C43H(5,𝔽2)14yes—
778C2×C4×C43C2514yes—
779C2×C4×C43C2511yescharacteristic
780C2×C4×C43C2511yescharacteristic
781C2×C4×C43C2511yescharacteristic
782C2×C4×C43C2514yes—
783C2×C4×C43C2514yes—
784C2×C4×C43C2514yes—
785C2×C4×C43C2514yes—
786C2×C4×C43C2511yescharacteristic
787C2×C4×C43C2511yescharacteristic
788C2×C4×C43C2511yescharacteristic
789C22⋊D43—28no—
790C22⋊D43—28no—
791C22⋊D43—48no—
792C22⋊D43—44no—
793C22⋊D43—44no—
794C22⋊D43—48no—
795C22⋊D43—44no—
796C22⋊D43—44no—
797C2×Dic43—22no—
798C2×Dic43—44no—
799C2×Dic43—41no—
800C2×Dic43—41no—
801C2×Dic43—42no—
802C2×Dic43C2511yescharacteristic
803C2×Dic43C2511yescharacteristic
804C2×Dic43C2511yescharacteristic
805C2×Dic43C2511yescharacteristic
806C2×Dic43C2511yescharacteristic
807C2×Dic43C2511yescharacteristic
808C2×Dic43C2514yes—
809C2×Dic43C2514yes—
810C2×Dic43C2514yes—
811D172—28no—
812D172—28no—
813D172—24no—
814D172—24no—
815D172—24no—
816D172—24no—
817D172—24no—
818D172—24no—
819D172—48no—
820D172—44no—
821D172—48no—
822D172—48no—
823D172—44no—
824D172—48no—
825D172—42no—
826D172—42no—
827D172—48no—
828D172—44no—
829C4×D43—22no—
830C4×D43—22no—
831C4×D43—22no—
832C4×D43—22no—
833C4×D43—22no—
834C4×D43—22no—
835C4×D43—28no—
836C4×D43—28no—
837C4×D43—22no—
838C4×D43—28no—
839C4×D43—22no—
840C4×D43—41no—
841C4×D43—41no—
842C4×D43—44no—
843C4×D43—41no—
844C4×D43—41no—
845C4×D43—44no—
846C4×D43—44no—
847C4×D43—48no—
848C4×D43—48no—
849C4×D43—48no—
850C4×D43—44no—
851C4×D43—44no—
852C4×D43—48no—
853Dic86—24no—
854Dic86—24no—
855Dic86—44no—
856Dic86—48no—
857#62830—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—24no—
861C22×C43—24no—
862C22×C43—24no—
863C22×C43C2×H(5,𝔽2)12yes—
864C22×C43C2611yescharacteristic
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—24no—
868C2×D43—21no—
869C2×D43—24no—
870C2×D43—24no—
871C2×D43—21no—
872C2×D43—24no—
873C2×D43—24no—
874C2×D43—24no—
875C2×D43—24no—
876C2×D43—24no—
877C2×D43—21no—
878C2×D43—24no—
879C2×D43—44no—
880C2×D43—88no—
881C2×D43—84no—
882C2×D43—168no—
883C2×D43#58512yes—
884C4×C43—24no—
885C4×C43—24no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—24no—
890C4×C43—24no—
891C4×C43—24no—
892C4×C43C2×H(5,𝔽2)12yes—
893C4×C43C2×H(5,𝔽2)12yes—
894C4×C43#58512yes—
895Dic43—24no—
896Dic43—24no—
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—24no—
902Dic43—21no—
903Dic43—21no—
904#3562—434no—
905#3560—434no—
906#3552—432no—
907#3551—434no—
908#3547—432no—
909#3546—432no—
910#3543—432no—
911#3534—434no—
912#3520—432no—
913#3519—432no—
914#3519—434no—
915#3517—432no—
916#3514—432no—
917#3514—434no—
918#3512—432no—
919#3507D4311yescharacteristic, complemented
920#3506—431no—
921#3505—434no—
922#3500—432no—
923#3497—431no—
924#3496—431no—
925#3494—434no—
926#3489—432no—
927#3488—432no—
928#3444—431no—
929C2×#532—431no—
930C2×#529—431no—
931C2×C43—22no—
932C2×C43—44no—
933C2×C43C22×H(5,𝔽2)11yescharacteristic
934C2×C43C2×#58511yescharacteristic
935C2×C43C2×#58511yescharacteristic
936D43—22no—
937D43—41no—
938D43—44no—
939D43—44no—
940D43—44no—
941C2×2−1+4—432no—
942C2×H(5,𝔽2)—432no—
943C22×#41—432no—
944#563—438no—
945#562—438no—
946#560—438no—
947#560—438no—
948#559—434no—
949#559C2×D4312yescomplemented
950#557C2×D4312yescomplemented
951#556—432no—
952#556C2×D4314yescomplemented
953#556C2×D4312yescomplemented
954#555—432no—
955#555—434no—
956#555—438no—
957#554—434no—
958#554C2×D4312yescomplemented
959#553—438no—
960#553—434no—
961#553—438no—
962#553—434no—
963#553—434no—
964#553—438no—
965#553—438no—
966#553—434no—
967#553—434no—
968#552—434no—
969#552—434no—
970#552C2×D4314yescomplemented
971#551—438no—
972#551—438no—
973#551—438no—
974#551—438no—
975#550—434no—
976#550—432no—
977#550—432no—
978#550—432no—
979#550—434no—
980D4×Q8—434no—
981D4×Q8—432no—
982D4×Q8—432no—
983#548—434no—
984#548—434no—
985#548—434no—
986#548—434no—
987#548—434no—
988#548—434no—
989#547—434no—
990#547—432no—
991#547—432no—
992#547—438no—
993#547—432no—
994#546—434no—
995#546—434no—
996#546—434no—
997#546—434no—
998#546—438no—
999#546—438no—
1000#546—438no—
1001#546—434no—
1002#546—434no—
1003#546—438no—
1004#546—438no—
1005#546—434no—
1006#546—434no—
1007D42—432no—
1008D42—434no—
1009D42—438no—
1010D42—432no—
1011D42—434no—
1012#544—434no—
1013#542—434no—
1014#542—438no—
1015#542—434no—
1016#541—434no—
1017#540—434no—
1018#540—438no—
1019#540—434no—
1020#540—434no—
1021#540—438no—
1022#539—438no—
1023#539—438no—
1024#539C2×D4314yescomplemented
1025#538—438no—
1026#538—438no—
1027#538—438no—
1028#538—438no—
1029#538—434no—
1030#538—438no—
1031#537—432no—
1032#537—434no—
1033#537—432no—
1034#537—434no—
1035#537—434no—
1036#536—434no—
1037#536—434no—
1038#536C2×D4312yescomplemented
1039#535—434no—
1040#535—434no—
1041#535—432no—
1042#535—434no—
1043#534—438no—
1044#534—434no—
1045#533—431no—
1046#533—431no—
1047#533C2×D4311yescharacteristic, complemented
1048#532—432no—
1049#532—431no—
1050#532—431no—
1051#532—431no—
1052#532—434no—
1053#532—431no—
1054#532—432no—
1055#532—432no—
1056#532—432no—
1057#532—432no—
1058#532—432no—
1059#532—431no—
1060#532—431no—
1061#532—434no—
1062#532C2×D4311yescharacteristic
1063C2×C4⋊Q8—431no—
1064C2×#127—431no—
1065#529—432no—
1066#529—432no—
1067#529—432no—
1068#529—432no—
1069#529—432no—
1070#529—432no—
1071#529—432no—
1072#529—432no—
1073#529—432no—
1074#529—432no—
1075#529—432no—
1076#529—432no—
1077#529—432no—
1078#529—432no—
1079#529—434no—
1080#529—434no—
1081#529C2×D4314yescomplemented
1082C2×#126—432no—
1083C2×#125—431no—
1084C2×#124—431no—
1085C2×#124—432no—
1086C2×#124—434no—
1087#525—432no—
1088#525—432no—
1089#525—434no—
1090#525—434no—
1091#525—432no—
1092#525—434no—
1093C2×#123—432no—
1094C2×C22⋊Q8—431no—
1095C2×C22⋊Q8—434no—
1096C2×#121—432no—
1097C2×#121—432no—
1098C2×#121—434no—
1099C2×#121—431no—
1100C2×#121—434no—
1101#520—434no—
1102#520—432no—
1103#520C2×D4312yescomplemented
1104#518—434no—
1105#518—438no—
1106C4×#41—432no—
1107C4×#41—432no—
1108C4×#41—432no—
1109C2×C4×Q8C2×D4311yescharacteristic, complemented
1110C2×C4×D4—432no—
1111C2×C4×D4—432no—
1112C2×C4×D4—431no—
1113C2×C4×D4—432no—
1114C2×#117—432no—
1115C22×C42—431no—
1116C43#6283011yescharacteristic, complemented, Sylow
11172−1+4—1728no—
1118H(5,𝔽2)—1728no—
1119C2×#41—432no—
1120C2×#41—432no—
1121C2×#41—434no—
1122C2×#41—434no—
1123C2×#41—432no—
1124C2×#41—434no—
1125C2×#41—434no—
1126C2×#41—434no—
1127C2×#41—432no—
1128C2×#41—432no—
1129C2×#41—432no—
1130C2×#41—434no—
1131C2×#41—434no—
1132C2×#41—438no—
1133C2×#41—1728no—
1134C2×#41C22×D4312yes—
1135C22×Q8—434no—
1136C22×Q8—432no—
1137C22×Q8—434no—
1138C22×Q8C22×D4311yescharacteristic
1139C22×D4—432no—
1140C22×D4—432no—
1141C22×D4—434no—
1142C22×D4—434no—
1143C22×D4—438no—
1144C22×D4—432no—
1145C22×D4—434no—
1146C22×D4—431no—
1147C22×D4—432no—
1148C22×D4—438no—
1149C22×D4—434no—
1150C23×C4—431no—
1151C23×C4—432no—
1152C23×C4—431no—
1153C23×C4—434no—
1154C23×C4—431no—
1155C4⋊Q8—432no—
1156C4⋊Q8—432no—
1157C4⋊Q8—432no—
1158C4⋊Q8—438no—
1159C4⋊Q8—431no—
1160C4⋊Q8—431no—
1161C4⋊Q8—434no—
1162C4⋊Q8C22×D4311yescharacteristic
1163C4⋊Q8C22×D4311yescharacteristic
1164C4⋊Q8C22×D4311yescharacteristic
1165C4⋊Q8C22×D4314yes—
1166#127—432no—
1167#127—432no—
1168#127—432no—
1169#127—431no—
1170#127—431no—
1171#127—434no—
1172#127—434no—
1173#127—438no—
1174#127C22×D4311yescharacteristic
1175#126—434no—
1176#126—434no—
1177#126—434no—
1178#126—434no—
1179#126—434no—
1180#126—434no—
1181#126—438no—
1182#126—438no—
1183#126—438no—
1184#126—438no—
1185#126—438no—
1186#126C22×D4318yes—
1187#126C22×D4318yes—
1188#125—432no—
1189#125—432no—
1190#125—432no—
1191#125—432no—
1192#125—432no—
1193#125—432no—
1194#125—438no—
1195#125—438no—
1196#125C22×D4312yes—
1197#125C22×D4314yes—
1198#125C22×D4318yes—
1199#124—432no—
1200#124—432no—
1201#124—432no—
1202#124—432no—
1203#124—432no—
1204#124—432no—
1205#124—432no—
1206#124—438no—
1207#124—432no—
1208#124—434no—
1209#124—434no—
1210#124—438no—
1211#124—438no—
1212#124—438no—
1213#124—432no—
1214#124—434no—
1215#124—432no—
1216#124—438no—
1217#124—438no—
1218#124C22×D4312yes—
1219#124C22×D4314yes—
1220#124C22×D4314yes—
1221#123—438no—
1222#123—434no—
1223#123—434no—
1224#123—434no—
1225#123—434no—
1226#123—434no—
1227#123—434no—
1228#123—438no—
1229#123—438no—
1230#123—438no—
1231#123—438no—
1232#123—438no—
1233#123—438no—
1234#123—438no—
1235#123—438no—
1236#123—434no—
1237#123—438no—
1238#123—438no—
1239#123—438no—
1240#123—438no—
1241#123—438no—
1242#123C22×D4318yes—
1243#123C22×D4318yes—
1244C22⋊Q8—432no—
1245C22⋊Q8—432no—
1246C22⋊Q8—432no—
1247C22⋊Q8—432no—
1248C22⋊Q8—432no—
1249C22⋊Q8—432no—
1250C22⋊Q8—434no—
1251C22⋊Q8—434no—
1252C22⋊Q8—434no—
1253C22⋊Q8—432no—
1254C22⋊Q8—438no—
1255C22⋊Q8—432no—
1256C22⋊Q8—434no—
1257C22⋊Q8—434no—
1258C22⋊Q8—438no—
1259C22⋊Q8—438no—
1260C22⋊Q8—438no—
1261C22⋊Q8—438no—
1262C22⋊Q8—438no—
1263C22⋊Q8—438no—
1264C22⋊Q8—438no—
1265C22⋊Q8C22×D4314yes—
1266C22⋊Q8C22×D4312yes—
1267C22⋊Q8C22×D4312yes—
1268C22⋊Q8C22×D4314yes—
1269C22⋊Q8C22×D4318yes—
1270#121—432no—
1271#121—434no—
1272#121—434no—
1273#121—432no—
1274#121—438no—
1275#121—434no—
1276#121—434no—
1277#121—432no—
1278#121—432no—
1279#121—432no—
1280#121—432no—
1281#121—434no—
1282#121—438no—
1283#121—438no—
1284#121—438no—
1285#121—438no—
1286#121—432no—
1287#121—432no—
1288#121—432no—
1289#121—432no—
1290#121—432no—
1291#121—432no—
1292#121—432no—
1293#121—434no—
1294#121—434no—
1295#121—438no—
1296#121—438no—
1297#121—434no—
1298#121—432no—
1299#121—432no—
1300#121—432no—
1301#121—434no—
1302#121—434no—
1303#121—434no—
1304#121—438no—
1305#121—438no—
1306#121—438no—
1307#121—438no—
1308#121—438no—
1309#121—438no—
1310#121—438no—
1311#121—434no—
1312#121—434no—
1313#121—438no—
1314#121—438no—
1315#121—438no—
1316#121—438no—
1317#121—438no—
1318#121—438no—
1319#121C22×D4312yes—
1320#121C22×D4312yes—
1321#120—438no—
1322#120—434no—
1323#120—438no—
1324#120—438no—
1325#120—438no—
1326#120—438no—
1327#120—438no—
1328#120—438no—
1329#120—438no—
1330#120—438no—
1331C4×Q8—432no—
1332C4×Q8—432no—
1333C4×Q8—432no—
1334C4×Q8—432no—
1335C4×Q8—434no—
1336C4×Q8C22×D4312yes—
1337C4×Q8C22×D4312yes—
1338C4×Q8C22×D4312yes—
1339C4×Q8C22×D4312yes—
1340C4×Q8C22×D4312yes—
1341C4×Q8C22×D4312yes—
1342C4×Q8C22×D4314yes—
1343C4×Q8C22×D4314yes—
1344C4×D4—432no—
1345C4×D4—432no—
1346C4×D4—434no—
1347C4×D4—434no—
1348C4×D4—438no—
1349C4×D4—432no—
1350C4×D4—432no—
1351C4×D4—434no—
1352C4×D4—432no—
1353C4×D4—434no—
1354C4×D4—432no—
1355C4×D4—432no—
1356C4×D4—432no—
1357C4×D4—438no—
1358C4×D4—438no—
1359C4×D4—438no—
1360C4×D4—438no—
1361C4×D4—434no—
1362C4×D4—434no—
1363C4×D4—434no—
1364C4×D4—434no—
1365C4×D4—438no—
1366C4×D4—438no—
1367C4×D4—434no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—432no—
1371C4×D4—432no—
1372C4×D4—432no—
1373C4×D4—432no—
1374C4×D4—434no—
1375C4×D4—432no—
1376C4×D4—432no—
1377C4×D4—434no—
1378C4×D4—434no—
1379C4×D4—432no—
1380C4×D4—432no—
1381C4×D4—438no—
1382C4×D4—438no—
1383C4×D4—438no—
1384C4×D4—434no—
1385C4×D4—438no—
1386C4×D4—434no—
1387C4×D4—434no—
1388C4×D4C22×D4312yes—
1389C4×D4C22×D4312yes—
1390C4×D4C22×D4314yes—
1391C4×D4C22×D4314yes—
1392C4×D4C22×D4318yes—
1393#117—438no—
1394#117—432no—
1395#117—432no—
1396#117—434no—
1397#117—434no—
1398#117—434no—
1399#117—434no—
1400#117—434no—
1401#117—434no—
1402#117—434no—
1403#117—434no—
1404#117—434no—
1405#117—438no—
1406#117C22×D4312yes—
1407#117C22×D4318yes—
1408#117C22×D4314yes—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—431no—
1412C2×C4⋊C4—432no—
1413C2×C4⋊C4—432no—
1414C2×C4⋊C4—432no—
1415C2×C4⋊C4—434no—
1416C2×C4⋊C4—434no—
1417C2×C4⋊C4—438no—
1418C2×C4⋊C4C22×D4311yescharacteristic
1419C2×C4⋊C4C22×D4312yes—
1420C2×C4⋊C4C22×D4314yes—
1421C2×C22⋊C4—432no—
1422C2×C22⋊C4—432no—
1423C2×C22⋊C4—432no—
1424C2×C22⋊C4—432no—
1425C2×C22⋊C4—432no—
1426C2×C22⋊C4—438no—
1427C2×C22⋊C4—434no—
1428C2×C22⋊C4—434no—
1429C2×C22⋊C4—438no—
1430C2×C22⋊C4—438no—
1431C2×C22⋊C4—438no—
1432C2×C22⋊C4—438no—
1433C2×C42—431no—
1434C2×C42—431no—
1435C2×C42—431no—
1436C2×C42—431no—
1437C2×C42—431no—
1438C2×C42—434no—
1439C2×C42—431no—
1440C2×C42—431no—
1441C2×C42—431no—
1442C2×C42—431no—
1443C2×C42—431no—
1444C2×C42—431no—
1445C2×C42C22×D4312yes—
1446C2×C42C22×D4311yescharacteristic
1447C24—431no—
1448C24—434no—
1449C24—432no—
1450C24—438no—
1451#41—28no—
1452#41—868no—
1453#41—868no—
1454#41—1728no—
1455#41—17216no—
1456#41—1728no—
1457#41—1728no—
1458#41—1724no—
1459#41—1724no—
1460#41—1724no—
1461#41—1728no—
1462#41—1728no—
1463#41—1728no—
1464#41—1728no—
1465#41—1724no—
1466C2×Q8—24no—
1467C2×Q8—432no—
1468C2×Q8—432no—
1469C2×Q8—438no—
1470C2×Q8—434no—
1471C2×Q8—1724no—
1472C2×Q8—1728no—
1473C2×Q8—1728no—
1474C2×Q8C23×D4312yes—
1475C2×Q8C23×D4312yes—
1476C2×Q8C23×D4312yes—
1477C2×Q8C23×D4312yes—
1478C2×Q8C23×D4312yes—
1479C2×D4—434no—
1480C2×D4—434no—
1481C2×D4—438no—
1482C2×D4—434no—
1483C2×D4—434no—
1484C2×D4—434no—
1485C2×D4—438no—
1486C2×D4—434no—
1487C2×D4—434no—
1488C2×D4—434no—
1489C2×D4—432no—
1490C2×D4—432no—
1491C2×D4—432no—
1492C2×D4—432no—
1493C2×D4—432no—
1494C2×D4—432no—
1495C2×D4—432no—
1496C2×D4—438no—
1497C2×D4—434no—
1498C2×D4—438no—
1499C2×D4—434no—
1500C2×D4—438no—
1501C2×D4—432no—
1502C2×D4—438no—
1503C2×D4—438no—
1504C2×D4—434no—
1505C2×D4—864no—
1506C2×D4—1728no—
1507C2×D4—1724no—
1508C2×D4—17216no—
1509C2×D4—1724no—
1510C2×D4—1728no—
1511C2×D4—1724no—
1512C2×D4—1728no—
1513C2×D4—1724no—
1514C2×D4—1728no—
1515C2×D4—17216no—
1516C2×D4C23×D4312yes—
1517C2×D4C23×D4314yes—
1518C2×D4C23×D4312yes—
1519C2×D4C23×D4312yes—
1520C22×C4—431no—
1521C22×C4—431no—
1522C22×C4—431no—
1523C22×C4—432no—
1524C22×C4—434no—
1525C22×C4—431no—
1526C22×C4—431no—
1527C22×C4—431no—
1528C22×C4—431no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—434no—
1534C22×C4—434no—
1535C22×C4—434no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—434no—
1541C22×C4—434no—
1542C22×C4—434no—
1543C22×C4—434no—
1544C22×C4—438no—
1545C22×C4—438no—
1546C22×C4—438no—
1547C22×C4—438no—
1548C22×C4—434no—
1549C22×C4—864no—
1550C22×C4—1728no—
1551C22×C4—1722no—
1552C22×C4—1724no—
1553C22×C4—1722no—
1554C22×C4C23×D4311yescharacteristic
1555C22×C4C23×D4312yes—
1556C22×C4C23×D4314yes—
1557C22×C4C23×D4311yescharacteristic
1558C22×C4C23×D4312yes—
1559C22×C4C23×D4318yes—
1560C22×C4C23×D4311yescharacteristic
1561C4⋊C4—432no—
1562C4⋊C4—434no—
1563C4⋊C4—432no—
1564C4⋊C4—434no—
1565C4⋊C4—438no—
1566C4⋊C4—434no—
1567C4⋊C4—432no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—432no—
1572C4⋊C4—432no—
1573C4⋊C4—434no—
1574C4⋊C4—434no—
1575C4⋊C4—434no—
1576C4⋊C4—438no—
1577C4⋊C4—438no—
1578C4⋊C4—434no—
1579C4⋊C4—434no—
1580C4⋊C4—434no—
1581C4⋊C4—432no—
1582C4⋊C4C23×D4312yes—
1583C4⋊C4C23×D4312yes—
1584C4⋊C4C23×D4312yes—
1585C4⋊C4C23×D4318yes—
1586C4⋊C4C23×D4312yes—
1587C4⋊C4C23×D4312yes—
1588C4⋊C4C23×D4312yes—
1589C4⋊C4C23×D4318yes—
1590C4⋊C4C23×D4314yes—
1591C4⋊C4C23×D4314yes—
1592C4⋊C4C23×D4312yes—
1593C4⋊C4C23×D4314yes—
1594C4⋊C4C23×D4314yes—
1595C4⋊C4C23×D4312yes—
1596C4⋊C4C23×D4318yes—
1597C22⋊C4—434no—
1598C22⋊C4—434no—
1599C22⋊C4—438no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—434no—
1604C22⋊C4—434no—
1605C22⋊C4—434no—
1606C22⋊C4—434no—
1607C22⋊C4—438no—
1608C22⋊C4—434no—
1609C22⋊C4—434no—
1610C22⋊C4—434no—
1611C22⋊C4—434no—
1612C22⋊C4—434no—
1613C22⋊C4—434no—
1614C22⋊C4—434no—
1615C22⋊C4—438no—
1616C22⋊C4—434no—
1617C22⋊C4—438no—
1618C22⋊C4—438no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4—434no—
1623C22⋊C4—434no—
1624C22⋊C4—434no—
1625C22⋊C4—438no—
1626C22⋊C4—434no—
1627C22⋊C4—438no—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4318yes—
1630C22⋊C4C23×D4314yes—
1631C22⋊C4C23×D4318yes—
1632C22⋊C4C23×D4314yes—
1633C22⋊C4C23×D4318yes—
1634C42—431no—
1635C42—431no—
1636C42—431no—
1637C42—431no—
1638C42—431no—
1639C42—431no—
1640C42—431no—
1641C42—431no—
1642C42—431no—
1643C42—431no—
1644C42—431no—
1645C42—431no—
1646C42—434no—
1647C42—434no—
1648C42—438no—
1649C42C23×D4311yescharacteristic
1650C42C23×D4311yescharacteristic
1651C42C23×D4311yescharacteristic
1652C42C23×D4311yescharacteristic
1653C42C23×D4314yes—
1654C42C23×D4314yes—
1655C42C23×D4314yes—
1656C42C23×D4318yes—
1657C23—431no—
1658C23—434no—
1659C23—434no—
1660C23—431no—
1661C23—434no—
1662C23—868no—
1663C23—862no—
1664C23—864no—
1665C23—862no—
1666C23—1724no—
1667C23—1722no—
1668C23—1722no—
1669C23—1724no—
1670C23—1721no—
1671C23—1728no—
1672C23—1728no—
1673C23—1728no—
1674C23C24×D4314yes—
1675C23C24×D4311yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—42no—
1681Q8—864no—
1682Q8—864no—
1683Q8—1728no—
1684Q8—1724no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—42no—
1689D4—868no—
1690D4—868no—
1691D4—868no—
1692D4—868no—
1693D4—864no—
1694D4—864no—
1695D4—864no—
1696D4—864no—
1697D4—864no—
1698D4—864no—
1699D4—1728no—
1700D4—1724no—
1701D4—1724no—
1702D4—1728no—
1703D4—1728no—
1704D4—1722no—
1705D4—1728no—
1706D4—1722no—
1707D4—1724no—
1708D4—1728no—
1709D4—1728no—
1710D4—1724no—
1711D4—1724no—
1712D4—1724no—
1713D4—1728no—
1714D4—1724no—
1715C2×C4—24no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—41no—
1719C2×C4—42no—
1720C2×C4—48no—
1721C2×C4—431no—
1722C2×C4—431no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—434no—
1728C2×C4—434no—
1729C2×C4—434no—
1730C2×C4—862no—
1731C2×C4—862no—
1732C2×C4—862no—
1733C2×C4—862no—
1734C2×C4—862no—
1735C2×C4—862no—
1736C2×C4—862no—
1737C2×C4—868no—
1738C2×C4—868no—
1739C2×C4—862no—
1740C2×C4—868no—
1741C2×C4—862no—
1742C2×C4—1724no—
1743C2×C4—1724no—
1744C2×C4—1721no—
1745C2×C4—1721no—
1746C2×C4—1721no—
1747C2×C4—1724no—
1748C2×C4—1721no—
1749C2×C4—1728no—
1750C2×C4—1728no—
1751C2×C4—1728no—
1752C2×C4—1724no—
1753C2×C4—1724no—
1754C2×C4—1728no—
1755C2×C4—1724no—
1756C2×C4—1721no—
1757C2×C4—1721no—
1758C2×C4—1722no—
1759C2×C4#1306337114yes—
1760C2×C4C24×D4314yes—
1761C2×C4C24×D4311yescharacteristic
1762C2×C4C24×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C2×C4C24×D4314yes—
1765C2×C4C24×D4314yes—
1766C2×C4C24×D4314yes—
1767C2×C4C24×D4314yes—
1768C2×C4C24×D4311yescharacteristic
1769C2×C4C24×D4311yescharacteristic
1770C2×C4C24×D4311yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—432no—
1777C22—861no—
1778C22—861no—
1779C22—861no—
1780C22—864no—
1781C22—864no—
1782C22—864no—
1783C22—861no—
1784C22—864no—
1785C22—864no—
1786C22—864no—
1787C22—861no—
1788C22—864no—
1789C22—864no—
1790C22—864no—
1791C22—3444no—
1792C22—3448no—
1793C22—1724no—
1794C22—6888no—
1795C22C2×#1306337112yes—
1796C22C25×D4311yescharacteristic
1797C4—24no—
1798C4—24no—
1799C4—24no—
1800C4—24no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—24no—
1805C4—861no—
1806C4—861no—
1807C4—864no—
1808C4—864no—
1809C4—861no—
1810C4—861no—
1811C4—861no—
1812C4—864no—
1813C4—861no—
1814C4C2×#1306337112yes—
1815C4C2×#1306337112yes—
1816C4#1458373612yes—
1817C2—22no—
1818C2—44no—
1819C2—862no—
1820C2—1724no—
1821C2—1724no—
1822C2—1721no—
1823C2—1724no—
1824C2C22×#1306337111yescharacteristic
1825C2#585×D4311yescharacteristic
1826C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3507C2
hypercenter#3507D43
hypocenterC43#62830
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #19149190C2semidirect
2. #19149152C2semidirect
3. #19149041C2semidirect
4. #19149023C2semidirect
5. #19148985C2semidirect
6. #19148970C2semidirect
7. #19148929C2semidirect
8. #19148790C2semidirect
9. #19148643C2semidirect
10. #19148629C2semidirect
11. #19148628C2semidirect
12. #19148602C2semidirect
13. #19148559C2semidirect
14. #19148555C2semidirect
15. #19148512C2semidirect
16. #19148449C2semidirect
17. #19148435C2semidirect
18. #19148384C2semidirect
19. #19148366C2semidirect
20. #19148357C2semidirect
21. #19148318C2semidirect
22. #19148273C2semidirect
23. #19148265C2semidirect
24. #19147892C2semidirect
25. #532×D43C2semidirect
26. C2×#14583436C2semidirect
27. C43×#3507C2semidirect
28. C2×#13063373C22semidirect
29. C2×#13063371C22semidirect
30. C2×#41×D43C22semidirect
31. #14583653C22semidirect
32. #14583645C22semidirect
33. #14583640C22semidirect
34. #14583639C22semidirect
35. #14583634C22semidirect
36. #14583622C22semidirect
37. #14583615C22semidirect
38. #14583614C22semidirect
39. #14583612C22semidirect
40. #14583609C22semidirect
41. #14583602C22semidirect
42. #14583602C22semidirect
43. #14583602C22semidirect
44. #14583602C22semidirect
45. #14583600C22semidirect
46. #14583598C22semidirect
47. #14583597C22semidirect
48. #14583595C22semidirect
49. #14583593C22semidirect
50. #14583588C22semidirect
51. #14583584C22semidirect
52. #14583574C22semidirect
53. #14583574C22semidirect
54. #14583573C22semidirect
55. #14583572C22semidirect
56. #14583571C22semidirect
57. #14583571C22semidirect
58. #14583571C22semidirect
59. #14583571C22semidirect
60. #14583571C22semidirect
61. Q8×D172C22semidirect
62. Q8×D172C22semidirect
63. #14583564C22semidirect
64. #14583561C22semidirect
65. #14583561C22semidirect
66. #14583561C22semidirect
67. #14583559C22semidirect
68. #14583559C22semidirect
69. #14583557C22semidirect
70. #14583554C22semidirect
71. #14583552C22semidirect
72. #14583552C22semidirect
73. #14583552C22semidirect
74. #14583547C22semidirect
75. #14583545C22semidirect
76. #14583544C22semidirect
77. #14583544C22semidirect
78. #14583542C22semidirect
79. #14583542C22semidirect
80. #14583542C22semidirect
81. #14583542C22semidirect
82. #14583541C22semidirect
83. #14583541C22semidirect
84. #14583541C22semidirect
85. #14583540C22semidirect
86. #14583540C22semidirect
87. #14583540C22semidirect
88. D4×D172C22semidirect
89. D4×D172C22semidirect
90. D4×D172C22semidirect
91. D4×D172C22semidirect
92. #14583534C22semidirect
93. #14583529C22semidirect
94. #14583522C22semidirect
95. #14583521C22semidirect
96. #14583518C22semidirect
97. #14583507C22semidirect
98. #14583505C22semidirect
99. #14583505C22semidirect
100. #14583504C22semidirect
101. #14583500C22semidirect
102. #14583500C22semidirect
103. #14583497C22semidirect
104. #14583490C22semidirect
105. #14583489C22semidirect
106. #14583489C22semidirect
107. #14583488C22semidirect
108. #14583488C22semidirect
109. #14583488C22semidirect
110. #14583485C22semidirect
111. #14583480C22semidirect
112. #14583480C22semidirect
113. #14583480C22semidirect
114. #14583479C22semidirect
115. #14583477C22semidirect
116. #14583474C22semidirect
117. #14583472C22semidirect
118. #14583468C22semidirect
119. #14583468C22semidirect
120. #14583467C22semidirect
121. #14583467C22semidirect
122. #14583460C22semidirect
123. #14583457C22semidirect
124. #14583454C22semidirect
125. #14583454C22semidirect
126. #14583450C22semidirect
127. #14583450C22semidirect
128. #14583450C22semidirect
129. #14583450C22semidirect
130. #14583449C22semidirect
131. #14583449C22semidirect
132. #14583449C22semidirect
133. #14583448C22semidirect
134. #14583447C22semidirect
135. #14583446C22semidirect
136. #14583446C22semidirect
137. #14583445C22semidirect
138. #14583444C22semidirect
139. #14583444C22semidirect
140. C4⋊Q8×D43C22semidirect
141. #127×D43C22semidirect
142. #14583436C22semidirect
143. #14583436C22semidirect
144. #14583436C22semidirect
145. #14583436C22semidirect
146. #14583436C22semidirect
147. #14583436C22semidirect
148. #14583436C22semidirect
149. #14583436C22semidirect
150. #14583436C22semidirect
151. #14583436C22semidirect
152. #14583436C22semidirect
153. #14583435C22semidirect
154. #14583435C22semidirect
155. #14583434C22semidirect
156. #14583434C22semidirect
157. #14583431C22semidirect
158. C2×#13063320C22semidirect
159. C2×#13063316C22semidirect
160. C2×#13063314C22semidirect
161. #124×D43C22semidirect
162. #124×D43C22semidirect
163. #14583412C22semidirect
164. #14583412C22semidirect
165. #14583412C22semidirect
166. #14583412C22semidirect
167. #14583411C22semidirect
168. #14583411C22semidirect
169. C2×#13063310C22semidirect
170. C2×#13063301C22semidirect
171. C22⋊Q8×D43C22semidirect
173. C2×#13063300C22semidirect
174. #121×D43C22semidirect
175. #121×D43C22semidirect
176. #121×D43C22semidirect
177. #14583381C22semidirect
178. #14583379C22semidirect
179. #14583373C22semidirect
180. #14583371C22semidirect
181. C4×#10621902C22semidirect
182. C4×#10621902C22semidirect
183. #14583367C22semidirect
184. C2×C4×D172C22semidirect
185. C2×C4×D172C22semidirect
186. C4×D4×D43C22semidirect
187. C4×D4×D43C22semidirect
188. C2×#13063282C22semidirect
189. C2×C42×D43C22semidirect
190. C43×#559C22semidirect
191. C43×#557C22semidirect
192. C43×#556C22semidirect
193. C43×#556C22semidirect
194. C43×#554C22semidirect
195. C43×#552C22semidirect
196. C43×#539C22semidirect
197. C43×#536C22semidirect
198. C43×#533C22semidirect
200. C43×#529C22semidirect
201. C43×#520C22semidirect
202. C2×C4×Q8×C43C22semidirect
919. #3507D43semidirect
949. #559C2×D43semidirect
950. #557C2×D43semidirect
952. #556C2×D43semidirect
953. #556C2×D43semidirect
958. #554C2×D43semidirect
970. #552C2×D43semidirect
1024. #539C2×D43semidirect
1038. #536C2×D43semidirect
1047. #533C2×D43semidirect
1081. #529C2×D43semidirect
1103. #520C2×D43semidirect
1109. C2×C4×Q8C2×D43semidirect
1116. C43#62830semidirect

Maximal subgroups

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

subgroupindex
#191491902
#191491522
#191490412
#191490232
#191489852
#191489702
#191489292
#191487902
#191486432
#191486292
#191486282
#191486022
#191485592
#191485552
#191485122
#191484492
#191484352
#191483842
#191483662
#191483572
#191483182
#191482732
#191482652
#191478922
#532×D432
C2×#145834362
C43×#35072
#6283043