Finite Group Databasebeta

← #26005429

Subgroups — #26005429

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#19149181C214yesmaximal, complemented
2#19149149C214yesmaximal, complemented
3#19149025C212yesmaximal, complemented
4#19149021C214yesmaximal, complemented
5#19148987C212yesmaximal, complemented
6#19148968C212yesmaximal, complemented
7#19148919C212yesmaximal, complemented
8#19148786C214yesmaximal, complemented
9#19148635C212yesmaximal, complemented
10#19148630C212yesmaximal, complemented
11#19148615C214yesmaximal, complemented
12#19148596C212yesmaximal, complemented
13#19148559C212yesmaximal, complemented
14#19148555C214yesmaximal, complemented
15#19148512C212yesmaximal, complemented
16#19148462C211yesmaximal, characteristic, complemented
17#19148424C214yesmaximal, complemented
18#19148387C212yesmaximal, complemented
19#19148361C211yesmaximal, characteristic, complemented
20#19148359C211yesmaximal, characteristic, complemented
21#19148332C214yesmaximal, complemented
22#19148276C212yesmaximal, complemented
23#19148262C212yesmaximal, complemented
24#19147892C211yesmaximal, characteristic, complemented
25#532×D43C211yesmaximal, characteristic, complemented
26C2×#14583431C211yesmaximal, characteristic, complemented
27C43×#3506C211yesmaximal, characteristic, complemented
28C2×#13063372C2212yescomplemented
29C2×#13063370C2212yescomplemented
30C2×#41×D43C2212yescomplemented
31#14583651C2218yescomplemented
32#14583643C2218yescomplemented
33#14583639C2218yescomplemented
34#14583637C2218yescomplemented
35#14583634C2212yescomplemented
36#14583628C2212yescomplemented
37#14583623C2212yescomplemented
38#14583622C2214yescomplemented
39#14583614C2218yescomplemented
40#14583612C2214yescomplemented
41#14583610C2212yescomplemented
42#14583607C2214yescomplemented
43#14583601C2214yescomplemented
44#14583601C2218yescomplemented
45#14583598C2218yescomplemented
46#14583597C2214yescomplemented
47#14583595C2218yescomplemented
48#14583595C2218yescomplemented
49#14583593C2214yescomplemented
50#14583593C2214yescomplemented
51#14583588C2214yescomplemented
52#14583587C2214yescomplemented
53#14583584C2214yescomplemented
54#14583574C2218yescomplemented
55#14583572C2218yescomplemented
56#14583572C2218yescomplemented
57#14583572C2218yescomplemented
58#14583570C2212yescomplemented
59#14583569C2212yescomplemented
60#14583569C2214yescomplemented
61#14583568C2214yescomplemented
62Q8×D172C2214yescomplemented
63D4×Dic86C2212yescomplemented
64#14583564C2212yescomplemented
65#14583561C2214yescomplemented
66#14583558C2214yescomplemented
67#14583557C2214yescomplemented
68#14583557C2214yescomplemented
69#14583555C2214yescomplemented
70#14583555C2214yescomplemented
71#14583553C2218yescomplemented
72#14583553C2212yescomplemented
73#14583553C2214yescomplemented
74#14583553C2212yescomplemented
75#14583546C2214yescomplemented
76#14583546C2214yescomplemented
77#14583544C2214yescomplemented
78#14583544C2214yescomplemented
79#14583544C2214yescomplemented
80#14583544C2218yescomplemented
81#14583542C2218yescomplemented
82#14583542C2214yescomplemented
83#14583540C2214yescomplemented
84#14583537C2214yescomplemented
85#14583536C2218yescomplemented
86#14583536C2218yescomplemented
87#14583536C2218yescomplemented
88D4×D172C2212yescomplemented
89D4×D172C2212yescomplemented
90#14583534C2214yescomplemented
91#14583533C2214yescomplemented
92#14583531C2218yescomplemented
93#14583527C2214yescomplemented
94#14583522C2214yescomplemented
95#14583522C2214yescomplemented
96#14583518C2218yescomplemented
97#14583507C2214yescomplemented
98#14583502C2214yescomplemented
99#14583502C2214yescomplemented
100#14583502C2218yescomplemented
101#14583501C2218yescomplemented
102#14583500C2214yescomplemented
103#14583498C2214yescomplemented
104#14583493C2218yescomplemented
105#14583490C2218yescomplemented
106#14583488C2218yescomplemented
107#14583485C2218yescomplemented
108#14583485C2218yescomplemented
109#14583483C2218yescomplemented
110#14583482C2218yescomplemented
111#14583480C2212yescomplemented
112#14583480C2214yescomplemented
113#14583478C2214yescomplemented
114#14583477C2212yescomplemented
115#14583476C2214yescomplemented
116#14583475C2212yescomplemented
117#14583475C2214yescomplemented
118#14583469C2214yescomplemented
119#14583465C2214yescomplemented
120#14583463C2214yescomplemented
121#14583462C2214yescomplemented
122#14583461C2214yescomplemented
123#14583457C2218yescomplemented
124#14583454C2211yescharacteristic, complemented
125#14583454C2211yescharacteristic, complemented
126#14583450C2211yescharacteristic, complemented
127#14583450C2211yescharacteristic, complemented
128#14583450C2211yescharacteristic, complemented
129#14583449C2211yescharacteristic
130#14583449C2211yescharacteristic, complemented
131#14583448C2212yescomplemented
132#14583447C2214yescomplemented
133#14583447C2211yescharacteristic, complemented
134#14583446C2212yescomplemented
135#14583446C2212yescomplemented
136#14583445C2212yescomplemented
137#14583444C2212yescomplemented
138#14583444C2214yescomplemented
139#14583444C2212yescomplemented
140C4⋊Q8×D43C2211yescharacteristic, complemented
141#127×D43C2211yescharacteristic, complemented
142#14583436C2214yescomplemented
143#14583436C2212yescomplemented
144#14583436C2212yescomplemented
145#14583435C2212yescomplemented
146#14583435C2214yescomplemented
147#14583435C2212yescomplemented
148#14583434C2212yescomplemented
149#14583434C2212yescomplemented
150#14583431C2212yescomplemented
151#14583431C2214yescomplemented
152#14583431C2212yescomplemented
153#14583431C2212yescomplemented
154#14583431C2212yescomplemented
155#14583431C2212yescomplemented
156#14583431C2212yescomplemented
157#14583431C2212yescomplemented
158#14583431C2212yescomplemented
159C2×#13063318C2212yescomplemented
160C2×#13063316C2211yescharacteristic, complemented
161C2×#13063312C2211yescharacteristic, complemented
162#124×D43C2212yescomplemented
163#124×D43C2214yescomplemented
164#14583412C2212yescomplemented
165#14583412C2212yescomplemented
166#14583411C2214yescomplemented
167#14583411C2212yescomplemented
168#14583409C2214yescomplemented
169C2×#13063307C2212yescomplemented
170C2×#13063305C2211yescharacteristic, complemented
171C2×#13063305C2214yescomplemented
172C2×#13063299C2214yescomplemented
173C2×#13063296C2211yescharacteristic
174#121×D43C2212yescomplemented
175#121×D43C2214yescomplemented
176#121×D43C2212yescomplemented
177#14583382C2214yescomplemented
178#14583379C2212yescomplemented
179#14583373C2214yescomplemented
180#14583371C2218yescomplemented
181C4×#10621902C2212yescomplemented
182C4×#10621902C2212yescomplemented
183#14583367C2212yescomplemented
184C2×C4×Dic86C2211yescharacteristic, complemented
185C2×C4×C22⋊D43C2212yescomplemented
186C4×D4×D43C2212yescomplemented
187C4×D4×D43C2212yescomplemented
188C2×#13063284C2212yescomplemented
189C2×C42×D43C2211yescharacteristic, complemented
190C43×#559C2214yescomplemented
191C43×#556C2212yescomplemented
192C43×#555C2212yescomplemented
193C43×#553C2214yescomplemented
194C43×#550C2212yescomplemented
195C43×#547C2212yescomplemented
196C43×#538C2214yescomplemented
197C43×#535C2212yescomplemented
198C43×#533C2211yescharacteristic, complemented
199C43×#532C2211yescharacteristic, complemented
200C43×#525C2214yescomplemented
201C43×#520C2212yescomplemented
202C2×C4×D4×C43C2211yescharacteristic, complemented
203#13063372—48no—
204#13063370—48no—
205C2×#10621902C2312yes—
206C2×#10621902C2312yes—
207C2×#10621902C2312yes—
208C2×#10621898C2312yes—
209C2×#10621898C2312yes—
210C2×#10621898C2314yes—
211C2×#10621898C2314yes—
212C2×#10621900C2312yes—
213C2×#10621900C2314yes—
214C2×#10621900C2314yes—
215C2×#10621900C2314yes—
216C2×#10621900C2314yes—
217C2×#10621900C2318yes—
218#41×D43—48no—
219C22×Dic86C2311yescharacteristic
220C22×Dic86C2314yes—
221C2×Q8×D43C2312yes—
222C2×Q8×D43C2314yes—
223C22×D172C2314yes—
224C22×C22⋊D43C2312yes—
225C22×C22⋊D43C2318yes—
226C2×D4×D43C2312yes—
227C2×D4×D43C2312yes—
228C2×D4×D43C2318yes—
229C2×D4×D43C2314yes—
230C2×D4×D43C2314yes—
231C2×D4×D43C2312yes—
232C2×D4×D43C2314yes—
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2314yes—
237#13063325C2311yescharacteristic
238#13063325C2311yescharacteristic
239#13063325C2318yes—
240#13063325C2314yes—
241#13063324C2314yes—
242#13063324C2312yes—
243#13063324C2312yes—
244#13063323C2312yes—
245#13063322C2311yescharacteristic
246#13063322C2311yescharacteristic
247#13063321C2314yes—
248#13063321C2318yes—
249#13063321C2312yes—
250#13063321C2312yes—
251#13063321C2312yes—
252#13063320C2318yes—
253#13063320C2314yes—
254#13063320C2318yes—
255#13063320C2318yes—
256#13063320C2318yes—
257#13063320C2314yes—
258#13063319C2318yes—
259#13063318C2314yes—
260#13063318C2318yes—
261#13063318C2314yes—
262#13063318C2314yes—
263#13063318C2314yes—
264#13063317C2318yes—
265#13063316C2312yes—
266#13063316C2318yes—
267#13063316C2312yes—
268#13063316C2314yes—
269#13063316C2312yes—
270#13063316C2312yes—
271#13063316C2312yes—
272#13063316C2312yes—
273#13063315C2318yes—
274#13063314C2314yes—
275#13063314C2312yes—
276#13063314C2312yes—
277#13063314C2312yes—
278#13063313C2312yes—
279#13063313C2318yes—
280#13063313C2314yes—
281#13063313C2312yes—
282#13063312C2312yes—
283#13063312C2312yes—
284#13063312C2312yes—
285#13063312C2312yes—
286#13063312C2312yes—
287#13063311C2318yes—
288#13063311C2318yes—
289#13063311C2318yes—
290#13063311C2318yes—
291#13063311C2314yes—
292#13063311C2314yes—
293#13063310C2318yes—
294#13063310C2318yes—
295#13063310C2314yes—
296#13063310C2314yes—
297#13063309C2318yes—
298#13063309C2314yes—
299#13063309C2318yes—
300#13063309C2318yes—
301#13063309C2318yes—
302#13063309C2318yes—
303#13063309C2318yes—
304#13063308C2318yes—
305#13063307C2314yes—
306#13063307C2318yes—
307#13063307C2318yes—
308#13063307C2318yes—
309#13063307C2318yes—
310#13063307C2318yes—
311#13063307C2314yes—
312#13063307C2314yes—
313#13063307C2314yes—
314#13063305C2312yes—
315#13063305C2314yes—
316#13063305C2318yes—
317#13063305C2318yes—
318#13063305C2314yes—
319#13063305C2314yes—
320#13063305C2314yes—
321#13063305C2312yes—
322#13063305C2318yes—
323#13063305C2312yes—
324#13063305C2312yes—
325#13063305C2312yes—
326#13063305C2312yes—
327#13063304C2314yes—
328#13063303C2318yes—
329#13063302C2318yes—
330#13063302C2318yes—
331#13063302C2318yes—
332#13063302C2318yes—
333#13063301C2314yes—
334#13063301C2312yes—
335#13063301C2318yes—
336#13063301C2312yes—
337#13063300C2318yes—
338#13063300C2314yes—
339#13063300C2312yes—
340#13063300C2314yes—
341#13063300C2312yes—
342#13063300C2312yes—
343#13063300C2312yes—
344#13063300C2312yes—
345#13063300C2312yes—
346#13063299C2314yes—
347#13063299C2318yes—
348#13063299C2318yes—
349#13063299C2314yes—
350#13063299C2318yes—
351#13063299C2314yes—
352#13063299C2318yes—
353#13063299C2318yes—
354#13063299C2312yes—
355#13063299C2312yes—
356#13063299C2312yes—
357#13063299C2312yes—
358#13063298C2318yes—
359#13063298C2318yes—
360#13063298C2318yes—
361#13063298C2318yes—
362#13063298C2314yes—
363#13063298C2314yes—
364#13063297C2318yes—
365#13063297C2318yes—
366#13063297C2318yes—
367#13063297C2318yes—
368#13063297C2318yes—
369#13063297C2314yes—
370#13063297C2318yes—
371#13063297C2314yes—
372#13063296C2312yes—
373#13063296C2314yes—
374#13063296C2312yes—
375#13063296C2318yes—
376#13063296C2312yes—
377#13063296C2318yes—
378#13063296C2318yes—
379#13063296C2312yes—
380#13063296C2312yes—
381#13063296C2312yes—
382#13063295C2318yes—
383#13063295C2318yes—
384#13063295C2318yes—
385#13063295C2314yes—
386#13063295C2318yes—
387#13063293C2318yes—
388#13063293C2318yes—
389#13063293C2318yes—
390#13063293C2318yes—
391Q8×Dic43C2314yes—
392Q8×Dic43C2312yes—
393Q8×Dic43C2312yes—
394C4×Dic86C2312yes—
395C4×Dic86C2314yes—
396C4×Dic86C2312yes—
397C4×Dic86C2312yes—
398C4×Dic86C2312yes—
399#13063290C2312yes—
400#13063290C2312yes—
401C4×D172C2314yes—
402C4×D172C2318yes—
403C4×D172C2312yes—
404C4×D172C2312yes—
405C4×D172C2312yes—
406C4×D172C2314yes—
407C4×D172C2318yes—
408C4×D172C2312yes—
409C4×D172C2318yes—
410C4×D172C2314yes—
411D4×Dic43C2318yes—
412D4×Dic43C2318yes—
413D4×Dic43C2314yes—
414D4×Dic43C2318yes—
415D4×Dic43C2312yes—
416D4×Dic43C2312yes—
417#13063287C2314yes—
418#13063287C2312yes—
419#13063287C2312yes—
420#13063287C2312yes—
421#13063287C2314yes—
422#13063287C2312yes—
423#13063287C2314yes—
424#13063287C2312yes—
425#13063287C2314yes—
426#13063287C2312yes—
427C4×C22⋊D43C2314yes—
428C4×C22⋊D43C2314yes—
429C4×C22⋊D43C2318yes—
430C4×C22⋊D43C2314yes—
431C4×C22⋊D43C2314yes—
432C4×C22⋊D43C2314yes—
433C4×C22⋊D43C2314yes—
434(C22⋊D43)⋊C4C2318yes—
435(C22⋊D43)⋊C4C2318yes—
436(C22⋊D43)⋊C4C2314yes—
437(C22⋊D43)⋊C4C2314yes—
438(C22⋊D43)⋊C4C2318yes—
439(C22⋊D43)⋊C4C2314yes—
440(C22⋊D43)⋊C4C2314yes—
441#13063284C2314yes—
442#13063284C2314yes—
443#13063284C2318yes—
444#13063284C2314yes—
445#13063284C2314yes—
446#13063283C2312yes—
447#13063283C2314yes—
448#13063283C2318yes—
449#13063283C2314yes—
450#13063283C2314yes—
451#13063283C2312yes—
452#13063282C2318yes—
453#13063282C2314yes—
454C2×C4⋊Dic43C2312yes—
455C2×C4⋊Dic43C2318yes—
456C2×C4⋊Dic43C2314yes—
457C2×C4⋊Dic43C2312yes—
458C2×C4⋊Dic43C2311yescharacteristic
459C2×Dic43⋊C4C2312yes—
460C2×Dic43⋊C4C2312yes—
461C4⋊C4×D43C2314yes—
462C4⋊C4×D43C2312yes—
463C4⋊C4×D43C2312yes—
464C2×C22⋊Dic43C2312yes—
465C2×C22⋊Dic43C2312yes—
466C2×C22⋊Dic43C2312yes—
467C2×(C2×D43)⋊C4C2318yes—
468C2×(C2×D43)⋊C4C2318yes—
469C2×(C2×D43)⋊C4C2312yes—
470C22⋊C4×D43C2314yes—
471C22⋊C4×D43C2318yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2314yes—
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2312yes—
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2311yescharacteristic
482C42×D43C2311yescharacteristic
483C42×D43C2311yescharacteristic
484C42×D43C2311yescharacteristic
485C42×D43C2311yescharacteristic
486C42×D43C2311yescharacteristic
487C42×D43C2314yes—
488C2×#41×C43C2312yes—
489C2×#41×C43C2314yes—
490C22×D4×C43C2311yescharacteristic
491C23×C4×C43C2312yes—
492C4⋊Q8×C43C2311yescharacteristic
493C4⋊Q8×C43C2311yescharacteristic
494C4⋊Q8×C43C2311yescharacteristic
495#127×C43C2311yescharacteristic
496#127×C43C2314yes—
497#126×C43C2318yes—
498#125×C43C2312yes—
499#124×C43C2312yes—
500#124×C43C2314yes—
501#124×C43C2318yes—
502#123×C43C2318yes—
503#123×C43C2318yes—
504C22⋊Q8×C43C2312yes—
505C22⋊Q8×C43C2314yes—
506C22⋊Q8×C43C2312yes—
507#121×C43C2314yes—
508#121×C43C2314yes—
509#121×C43C2312yes—
510#121×C43C2314yes—
511#121×C43C2312yes—
512#121×C43C2318yes—
513#120×C43C2318yes—
514C4×Q8×C43C2314yes—
515C4×Q8×C43C2312yes—
516C4×Q8×C43C2312yes—
517C4×D4×C43C2312yes—
518C4×D4×C43C2312yes—
519C4×D4×C43C2318yes—
520C4×D4×C43C2314yes—
521C4×D4×C43C2312yes—
522C4×D4×C43C2312yes—
523C4×D4×C43C2312yes—
524C4×D4×C43C2312yes—
525C4×D4×C43C2318yes—
526#117×C43C2312yes—
527#117×C43C2314yes—
528#117×C43C2314yes—
529C2×C4⋊C4×C43C2311yescharacteristic
530C2×C4⋊C4×C43C2314yes—
531C2×C22⋊C4×C43C2312yes—
532C2×C42×C43C2311yescharacteristic
533C24×C43C2412yes—
534C23×D43C2411yescharacteristic
535C23×D43C2414yes—
536C23×D43C2418yes—
537#41×C43—28no—
538#41×C43—48no—
539C2×Q8×C43C2412yes—
540C2×Q8×C43C2412yes—
541C2×Q8×C43C2412yes—
542C2×D4×C43—24no—
543C2×D4×C43C2414yes—
544C2×D4×C43C2412yes—
545C2×D4×C43C2412yes—
546C2×D4×C43C2412yes—
547C2×D4×C43C2412yes—
548C2×D4×C43C2418yes—
549C2×D4×C43C2412yes—
550C2×D4×C43C2418yes—
551C22×C4×C43—44no—
552C22×C4×C43C2411yescharacteristic
553C22×C4×C43C2414yes—
554C22×C4×C43C2414yes—
555C22×C4×C43C2411yescharacteristic
556C22×C4×C43C2412yes—
557C22×C4×C43C2418yes—
558C22×C4×C43C2414yes—
559C22×C4×C43C2411yescharacteristic
560C2×C22⋊D43—44no—
561C2×C22⋊D43—416no—
562C2×C22⋊D43C2414yes—
563C2×C22⋊D43C2414yes—
564C2×C22⋊D43C2414yes—
565C2×C22⋊D43C2414yes—
566C2×C22⋊D43C2414yes—
567C2×C22⋊D43C2418yes—
568C2×C22⋊D43C2414yes—
569C2×C22⋊D43C2418yes—
570C2×C22⋊D43C2414yes—
571C2×C22⋊D43C2418yes—
572C2×C22⋊D43C2418yes—
573C2×C22⋊D43C2414yes—
574C22×Dic43C2411yescharacteristic
575C22×Dic43C2412yes—
576C22×Dic43C2411yescharacteristic
577C22×Dic43C2411yescharacteristic
578C22×Dic43C2412yes—
579C22×Dic43C2418yes—
580C22×Dic43C2418yes—
581C22×Dic43C2414yes—
582#10621902—44no—
583#10621902—44no—
584#10621902—44no—
585Q8×D43—44no—
586Q8×D43—48no—
587#10621900—44no—
588#10621900—48no—
589#10621900—48no—
590#10621900—48no—
591#10621900—48no—
592#10621900—416no—
593D4×D43—44no—
594D4×D43—416no—
595D4×D43—48no—
596D4×D43—44no—
597D4×D43—44no—
598D4×D43—48no—
599D4×D43—48no—
600#10621898—28no—
601#10621898—28no—
602#10621898—48no—
603#10621898—48no—
604C2×D172—48no—
605C2×D172C2412yes—
606C2×D172C2412yes—
607C2×D172C2412yes—
608C2×D172C2414yes—
609C2×D172C2412yes—
610C2×D172C2412yes—
611C2×D172C2412yes—
612C2×D172C2414yes—
613C2×D172C2418yes—
614C2×D172C2414yes—
615C2×C4×D43—24no—
616C2×C4×D43—42no—
617C2×C4×D43—42no—
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×D43C2411yescharacteristic
630C2×C4×D43C2411yescharacteristic
631C2×C4×D43C2411yescharacteristic
632C2×C4×D43C2411yescharacteristic
633C2×C4×D43C2414yes—
634C2×C4×D43C2414yes—
635C2×C4×D43C2414yes—
636C2×C4×D43C2414yes—
637C2×C4×D43C2418yes—
638C2×C4×D43C2418yes—
639C2×Dic86—24no—
640C2×Dic86—48no—
641C2×Dic86C2412yes—
642C2×Dic86C2412yes—
643C2×Dic86C2412yes—
644C2×Dic86C2412yes—
645C2×Dic86C2418yes—
646C2×Dic86C2414yes—
647C4⋊C4×C43C2412yes—
648C4⋊C4×C43C2412yes—
649C4⋊C4×C43C2412yes—
650C4⋊C4×C43C2418yes—
651C4⋊C4×C43C2412yes—
652C4⋊C4×C43C2412yes—
653C4⋊C4×C43C2412yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2412yes—
656C4⋊C4×C43C2414yes—
657C4⋊C4×C43C2412yes—
658C22⋊C4×C43C2414yes—
659C22⋊C4×C43C2414yes—
660C22⋊C4×C43C2414yes—
661C22⋊C4×C43C2418yes—
662C22⋊C4×C43C2418yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2418yes—
665C22⋊C4×C43C2414yes—
666C42×C43C2411yescharacteristic
667C42×C43C2411yescharacteristic
668C42×C43C2411yescharacteristic
669C42×C43C2411yescharacteristic
670C42×C43C2418yes—
671C42×C43C2414yes—
672C22⋊Dic43C2414yes—
673C22⋊Dic43C2414yes—
674C22⋊Dic43C2414yes—
675C22⋊Dic43C2414yes—
676C22⋊Dic43C2414yes—
677C22⋊Dic43C2414yes—
678C22⋊Dic43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2418yes—
681(C2×D43)⋊C4C2414yes—
682(C2×D43)⋊C4C2414yes—
683(C2×D43)⋊C4C2414yes—
684(C2×D43)⋊C4C2414yes—
685(C2×D43)⋊C4C2418yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2418yes—
688(C2×D43)⋊C4C2418yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2418yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2418yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2418yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701C4⋊Dic43C2412yes—
702C4⋊Dic43C2412yes—
703C4⋊Dic43C2412yes—
704C4⋊Dic43C2414yes—
705C4⋊Dic43C2412yes—
706C4⋊Dic43C2414yes—
707C4⋊Dic43C2418yes—
708C4⋊Dic43C2414yes—
709C4⋊Dic43C2414yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2418yes—
712C4⋊Dic43C2412yes—
713C4⋊Dic43C2418yes—
714C4⋊Dic43C2414yes—
715C4⋊Dic43C2412yes—
716Dic43⋊C4C2414yes—
717Dic43⋊C4C2414yes—
718Dic43⋊C4C2418yes—
719Dic43⋊C4C2414yes—
720Dic43⋊C4C2414yes—
721Dic43⋊C4C2414yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2418yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2414yes—
726C4×Dic43C2411yescharacteristic
727C4×Dic43C2411yescharacteristic
728C4×Dic43C2411yescharacteristic
729C4×Dic43C2411yescharacteristic
730C4×Dic43C2411yescharacteristic
731C4×Dic43C2411yescharacteristic
732C4×Dic43C2411yescharacteristic
733C4×Dic43C2411yescharacteristic
734C4×Dic43C2411yescharacteristic
735C4×Dic43C2411yescharacteristic
736C4×Dic43C2411yescharacteristic
737C4×Dic43C2411yescharacteristic
738C4×Dic43C2414yes—
739C4×Dic43C2414yes—
740C4×Dic43C2414yes—
741C4×Dic43C2414yes—
742C4×Dic43C2418yes—
743C23×C43—24no—
744C23×C43—42no—
745C23×C43—42no—
746C23×C43C2514yes—
747C23×C43C2514yes—
748C23×C43C2511yescharacteristic
749C22×D43—22no—
750C22×D43—22no—
751C22×D43—28no—
752C22×D43—41no—
753C22×D43—44no—
754C22×D43—44no—
755C22×D43—48no—
756C22×D43—48no—
757C22×D43—48no—
758C22×D43C2514yes—
759C22×D43C2514yes—
760C22×D43C2511yescharacteristic
761C22×D43C2511yescharacteristic
762Q8×C43—24no—
763Q8×C43—24no—
764Q8×C43—42no—
765D4×C43—28no—
766D4×C43—24no—
767D4×C43—24no—
768D4×C43—24no—
769D4×C43—24no—
770D4×C43—42no—
771D4×C43—48no—
772D4×C43—48no—
773C2×C4×C43—28no—
774C2×C4×C43—22no—
775C2×C4×C43—28no—
776C2×C4×C43—41no—
777C2×C4×C43—44no—
778C2×C4×C43—42no—
779C2×C4×C43—48no—
780C2×C4×C43H(5,𝔽2)14yes—
781C2×C4×C43C2511yescharacteristic
782C2×C4×C43C2514yes—
783C2×C4×C43C2511yescharacteristic
784C2×C4×C43C2511yescharacteristic
785C2×C4×C43C2514yes—
786C2×C4×C43C2514yes—
787C2×C4×C43C2514yes—
788C2×C4×C43C2511yescharacteristic
789C2×C4×C43C2511yescharacteristic
790C2×C4×C43C2511yescharacteristic
791C22⋊D43—28no—
792C22⋊D43—28no—
793C22⋊D43—28no—
794C22⋊D43—44no—
795C22⋊D43—44no—
796C22⋊D43—48no—
797C22⋊D43—48no—
798C22⋊D43—48no—
799C22⋊D43—44no—
800C22⋊D43—44no—
801C22⋊D43—48no—
802C22⋊D43—44no—
803C2×Dic43—24no—
804C2×Dic43—22no—
805C2×Dic43—48no—
806C2×Dic43—44no—
807C2×Dic43—41no—
808C2×Dic43—41no—
809C2×Dic43—48no—
810C2×Dic43—42no—
811C2×Dic43C2511yescharacteristic
812C2×Dic43C2511yescharacteristic
813C2×Dic43C2511yescharacteristic
814C2×Dic43C2511yescharacteristic
815C2×Dic43C2514yes—
816C2×Dic43C2511yescharacteristic
817C2×Dic43C2511yescharacteristic
818C2×Dic43C2514yes—
819C2×Dic43C2514yes—
820C2×Dic43C2514yes—
821D172—28no—
822D172—24no—
823D172—24no—
824D172—24no—
825D172—24no—
826D172—48no—
827D172—44no—
828D172—42no—
829D172—42no—
830D172—44no—
831C4×D43—22no—
832C4×D43—22no—
833C4×D43—22no—
834C4×D43—22no—
835C4×D43—22no—
836C4×D43—22no—
837C4×D43—28no—
838C4×D43—28no—
839C4×D43—22no—
840C4×D43—22no—
841C4×D43—41no—
842C4×D43—41no—
843C4×D43—41no—
844C4×D43—41no—
845C4×D43—44no—
846C4×D43—44no—
847C4×D43—48no—
848C4×D43—48no—
849C4×D43—44no—
850C4×D43—44no—
851Dic86—24no—
852Dic86—24no—
853Dic86—24no—
854Dic86—24no—
855Dic86—48no—
856Dic86—44no—
857#62830—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—24no—
861C22×C43—24no—
862C22×C43—24no—
863C22×C43—24no—
864C22×C43—24no—
865C22×C43—24no—
866C22×C43—84no—
867C22×C43C2×H(5,𝔽2)12yes—
868C22×C43C2611yescharacteristic
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—24no—
873C2×D43—24no—
874C2×D43—24no—
875C2×D43—21no—
876C2×D43—24no—
877C2×D43—24no—
878C2×D43—24no—
879C2×D43—21no—
880C2×D43—44no—
881C2×D43—88no—
882C2×D43—168no—
883C2×D43#58512yes—
884C4×C43—24no—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—24no—
888C4×C43—21no—
889C4×C43—24no—
890C4×C43—24no—
891C4×C43C2×H(5,𝔽2)12yes—
892C4×C43C2×H(5,𝔽2)12yes—
893C4×C43#58512yes—
894Dic43—24no—
895Dic43—24no—
896Dic43—24no—
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—21no—
902Dic43—21no—
903Dic43—24no—
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—434no—
917#3514—432no—
918#3512—432no—
919#3507—431no—
920#3506D4311yescharacteristic, complemented
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×C43—44no—
934C2×C43C22×H(5,𝔽2)11yescharacteristic
935C2×C43C2×#58511yescharacteristic
936C2×C43C2×#58511yescharacteristic
937D43—22no—
938D43—41no—
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—432no—
949#559C2×D4314yescomplemented
950#557—432no—
951#556—432no—
952#556—434no—
953#556C2×D4312yescomplemented
954#555—438no—
955#555—434no—
956#555C2×D4312yescomplemented
957#554—432no—
958#554—434no—
959#553—438no—
960#553—434no—
961#553—438no—
962#553—438no—
963#553—438no—
964#553—434no—
965#553—434no—
966#553—434no—
967#553C2×D4314yescomplemented
968#552—434no—
969#552—434no—
970#552—434no—
971#551—438no—
972#551—438no—
973#551—438no—
974#551—438no—
975#550—434no—
976#550—434no—
977#550—432no—
978#550—432no—
979#550C2×D4312yescomplemented
980D4×Q8—432no—
981D4×Q8—434no—
982D4×Q8—432no—
983#548—434no—
984#548—434no—
985#548—434no—
986#548—434no—
987#548—434no—
988#548—434no—
989#547—438no—
990#547—434no—
991#547—432no—
992#547—432no—
993#547C2×D4312yescomplemented
994#546—434no—
995#546—434no—
996#546—438no—
997#546—434no—
998#546—434no—
999#546—434no—
1000#546—438no—
1001#546—438no—
1002#546—438no—
1003#546—434no—
1004#546—438no—
1005#546—434no—
1006#546—434no—
1007D42—434no—
1008D42—434no—
1009D42—438no—
1010D42—432no—
1011D42—432no—
1012#544—434no—
1013#542—438no—
1014#542—434no—
1015#542—434no—
1016#541—434no—
1017#540—438no—
1018#540—434no—
1019#540—434no—
1020#540—438no—
1021#540—434no—
1022#539—438no—
1023#539—438no—
1024#539—434no—
1025#538—438no—
1026#538—438no—
1027#538—438no—
1028#538—438no—
1029#538—438no—
1030#538C2×D4314yescomplemented
1031#537—432no—
1032#537—434no—
1033#537—434no—
1034#537—432no—
1035#537—434no—
1036#536—434no—
1037#536—432no—
1038#536—434no—
1039#535—434no—
1040#535—434no—
1041#535—434no—
1042#535C2×D4312yescomplemented
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—431no—
1053#532—434no—
1054#532—432no—
1055#532—432no—
1056#532—432no—
1057#532—434no—
1058#532—432no—
1059#532—432no—
1060#532—431no—
1061#532—431no—
1062#532C2×D4311yescharacteristic, complemented
1063C2×C4⋊Q8—431no—
1064C2×#127—431no—
1065#529—432no—
1066#529—432no—
1067#529—432no—
1068#529—432no—
1069#529—434no—
1070#529—432no—
1071#529—432no—
1072#529—434no—
1073#529—432no—
1074#529—432no—
1075#529—432no—
1076#529—432no—
1077#529—432no—
1078#529—432no—
1079#529—432no—
1080#529—432no—
1081#529—434no—
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—432no—
1091#525—434no—
1092#525C2×D4314yescomplemented
1093C2×#123—432no—
1094C2×C22⋊Q8—431no—
1095C2×C22⋊Q8—434no—
1096C2×#121—431no—
1097C2×#121—434no—
1098C2×#121—432no—
1099C2×#121—432no—
1100C2×#121—434no—
1101#520—434no—
1102#520—432no—
1103#520C2×D4312yescomplemented
1104#518—438no—
1105#518—434no—
1106C4×#41—432no—
1107C4×#41—432no—
1108C4×#41—432no—
1109C2×C4×Q8—431no—
1110C2×C4×D4—432no—
1111C2×C4×D4—432no—
1112C2×C4×D4—432no—
1113C2×C4×D4C2×D4311yescharacteristic, complemented
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—432no—
1122C2×#41—434no—
1123C2×#41—434no—
1124C2×#41—432no—
1125C2×#41—434no—
1126C2×#41—434no—
1127C2×#41—438no—
1128C2×#41—432no—
1129C2×#41—432no—
1130C2×#41—434no—
1131C2×#41—434no—
1132C2×#41—1728no—
1133C2×#41C22×D4312yes—
1134C2×#41C22×D4314yes—
1135C22×Q8—432no—
1136C22×Q8—434no—
1137C22×Q8—431no—
1138C22×Q8—434no—
1139C22×D4—432no—
1140C22×D4—438no—
1141C22×D4—432no—
1142C22×D4—432no—
1143C22×D4—438no—
1144C22×D4—434no—
1145C22×D4—434no—
1146C22×D4—432no—
1147C22×D4—434no—
1148C22×D4—434no—
1149C22×D4C22×D4311yescharacteristic
1150C23×C4—431no—
1151C23×C4—431no—
1152C23×C4—434no—
1153C23×C4—431no—
1154C23×C4C22×D4312yes—
1155C4⋊Q8—432no—
1156C4⋊Q8—432no—
1157C4⋊Q8—432no—
1158C4⋊Q8—434no—
1159C4⋊Q8—431no—
1160C4⋊Q8—431no—
1161C4⋊Q8—434no—
1162C4⋊Q8—438no—
1163C4⋊Q8C22×D4311yescharacteristic
1164C4⋊Q8C22×D4311yescharacteristic
1165C4⋊Q8C22×D4311yescharacteristic
1166#127—432no—
1167#127—432no—
1168#127—432no—
1169#127—434no—
1170#127—438no—
1171#127—431no—
1172#127—431no—
1173#127C22×D4311yescharacteristic
1174#127C22×D4314yes—
1175#126—434no—
1176#126—434no—
1177#126—438no—
1178#126—438no—
1179#126—438no—
1180#126—438no—
1181#126—434no—
1182#126—434no—
1183#126—434no—
1184#126—434no—
1185#126—438no—
1186#126—438no—
1187#126C22×D4318yes—
1188#125—432no—
1189#125—432no—
1190#125—432no—
1191#125—432no—
1192#125—432no—
1193#125—432no—
1194#125—434no—
1195#125—438no—
1196#125—438no—
1197#125—438no—
1198#125C22×D4312yes—
1199#124—432no—
1200#124—432no—
1201#124—432no—
1202#124—434no—
1203#124—432no—
1204#124—432no—
1205#124—432no—
1206#124—432no—
1207#124—432no—
1208#124—434no—
1209#124—434no—
1210#124—438no—
1211#124—438no—
1212#124—438no—
1213#124—438no—
1214#124—432no—
1215#124—434no—
1216#124—432no—
1217#124—438no—
1218#124C22×D4312yes—
1219#124C22×D4314yes—
1220#124C22×D4318yes—
1221#123—438no—
1222#123—434no—
1223#123—434no—
1224#123—438no—
1225#123—438no—
1226#123—434no—
1227#123—434no—
1228#123—434no—
1229#123—434no—
1230#123—434no—
1231#123—438no—
1232#123—438no—
1233#123—438no—
1234#123—438no—
1235#123—438no—
1236#123—438no—
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—434no—
1247C22⋊Q8—438no—
1248C22⋊Q8—434no—
1249C22⋊Q8—432no—
1250C22⋊Q8—432no—
1251C22⋊Q8—432no—
1252C22⋊Q8—432no—
1253C22⋊Q8—432no—
1254C22⋊Q8—434no—
1255C22⋊Q8—434no—
1256C22⋊Q8—438no—
1257C22⋊Q8—438no—
1258C22⋊Q8—432no—
1259C22⋊Q8—434no—
1260C22⋊Q8—434no—
1261C22⋊Q8—438no—
1262C22⋊Q8—438no—
1263C22⋊Q8—438no—
1264C22⋊Q8—438no—
1265C22⋊Q8—438no—
1266C22⋊Q8—438no—
1267C22⋊Q8C22×D4312yes—
1268C22⋊Q8C22×D4312yes—
1269C22⋊Q8C22×D4314yes—
1270#121—432no—
1271#121—432no—
1272#121—432no—
1273#121—432no—
1274#121—432no—
1275#121—434no—
1276#121—434no—
1277#121—432no—
1278#121—438no—
1279#121—434no—
1280#121—438no—
1281#121—438no—
1282#121—438no—
1283#121—438no—
1284#121—438no—
1285#121—438no—
1286#121—438no—
1287#121—438no—
1288#121—432no—
1289#121—432no—
1290#121—432no—
1291#121—438no—
1292#121—434no—
1293#121—438no—
1294#121—434no—
1295#121—434no—
1296#121—432no—
1297#121—438no—
1298#121—438no—
1299#121—438no—
1300#121—432no—
1301#121—432no—
1302#121—432no—
1303#121—432no—
1304#121—432no—
1305#121—432no—
1306#121—434no—
1307#121—434no—
1308#121—438no—
1309#121—434no—
1310#121—434no—
1311#121—438no—
1312#121—438no—
1313#121—438no—
1314#121—438no—
1315#121C22×D4312yes—
1316#121C22×D4312yes—
1317#121C22×D4314yes—
1318#121C22×D4314yes—
1319#121C22×D4314yes—
1320#121C22×D4318yes—
1321#120—438no—
1322#120—438no—
1323#120—438no—
1324#120—438no—
1325#120—434no—
1326#120—438no—
1327#120—438no—
1328#120—438no—
1329#120—438no—
1330#120C22×D4318yes—
1331C4×Q8—432no—
1332C4×Q8—432no—
1333C4×Q8—434no—
1334C4×Q8—432no—
1335C4×Q8—432no—
1336C4×Q8—432no—
1337C4×Q8—432no—
1338C4×Q8—432no—
1339C4×Q8—432no—
1340C4×Q8—434no—
1341C4×Q8C22×D4312yes—
1342C4×Q8C22×D4312yes—
1343C4×Q8C22×D4314yes—
1344C4×D4—432no—
1345C4×D4—432no—
1346C4×D4—438no—
1347C4×D4—438no—
1348C4×D4—438no—
1349C4×D4—434no—
1350C4×D4—434no—
1351C4×D4—434no—
1352C4×D4—434no—
1353C4×D4—434no—
1354C4×D4—434no—
1355C4×D4—434no—
1356C4×D4—438no—
1357C4×D4—432no—
1358C4×D4—432no—
1359C4×D4—434no—
1360C4×D4—432no—
1361C4×D4—434no—
1362C4×D4—432no—
1363C4×D4—432no—
1364C4×D4—432no—
1365C4×D4—434no—
1366C4×D4—434no—
1367C4×D4—434no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—434no—
1371C4×D4—438no—
1372C4×D4—438no—
1373C4×D4—438no—
1374C4×D4—432no—
1375C4×D4—432no—
1376C4×D4—434no—
1377C4×D4—434no—
1378C4×D4—432no—
1379C4×D4—432no—
1380C4×D4—438no—
1381C4×D4—438no—
1382C4×D4—438no—
1383C4×D4—434no—
1384C4×D4C22×D4312yes—
1385C4×D4C22×D4312yes—
1386C4×D4C22×D4312yes—
1387C4×D4C22×D4312yes—
1388C4×D4C22×D4312yes—
1389C4×D4C22×D4312yes—
1390C4×D4C22×D4318yes—
1391C4×D4C22×D4318yes—
1392C4×D4C22×D4314yes—
1393#117—434no—
1394#117—434no—
1395#117—434no—
1396#117—434no—
1397#117—438no—
1398#117—432no—
1399#117—432no—
1400#117—434no—
1401#117—434no—
1402#117—438no—
1403#117—434no—
1404#117—434no—
1405#117—438no—
1406#117C22×D4312yes—
1407#117C22×D4314yes—
1408#117C22×D4314yes—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—432no—
1412C2×C4⋊C4—431no—
1413C2×C4⋊C4—432no—
1414C2×C4⋊C4—434no—
1415C2×C4⋊C4—438no—
1416C2×C4⋊C4—432no—
1417C2×C4⋊C4—432no—
1418C2×C4⋊C4—434no—
1419C2×C4⋊C4C22×D4311yescharacteristic
1420C2×C4⋊C4C22×D4314yes—
1421C2×C22⋊C4—432no—
1422C2×C22⋊C4—432no—
1423C2×C22⋊C4—432no—
1424C2×C22⋊C4—432no—
1425C2×C22⋊C4—438no—
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⋊C4C22×D4312yes—
1433C2×C42—431no—
1434C2×C42—432no—
1435C2×C42—431no—
1436C2×C42—431no—
1437C2×C42—431no—
1438C2×C42—431no—
1439C2×C42—434no—
1440C2×C42—431no—
1441C2×C42—431no—
1442C2×C42—431no—
1443C2×C42—431no—
1444C2×C42—431no—
1445C2×C42—431no—
1446C2×C42C22×D4311yescharacteristic
1447C24—431no—
1448C24—434no—
1449C24—438no—
1450C24C23×D4312yes—
1451#41—28no—
1452#41—48no—
1453#41—868no—
1454#41—868no—
1455#41—1728no—
1456#41—1728no—
1457#41—1728no—
1458#41—17216no—
1459#41—1724no—
1460#41—1728no—
1461#41—1728no—
1462#41—1728no—
1463#41—1724no—
1464#41—1724no—
1465#41—1724no—
1466C2×Q8—432no—
1467C2×Q8—432no—
1468C2×Q8—432no—
1469C2×Q8—432no—
1470C2×Q8—438no—
1471C2×Q8—434no—
1472C2×Q8—864no—
1473C2×Q8—1728no—
1474C2×Q8—1724no—
1475C2×Q8—1728no—
1476C2×Q8C23×D4312yes—
1477C2×Q8C23×D4312yes—
1478C2×Q8C23×D4312yes—
1479C2×D4—24no—
1480C2×D4—434no—
1481C2×D4—434no—
1482C2×D4—434no—
1483C2×D4—434no—
1484C2×D4—434no—
1485C2×D4—434no—
1486C2×D4—438no—
1487C2×D4—438no—
1488C2×D4—438no—
1489C2×D4—434no—
1490C2×D4—438no—
1491C2×D4—434no—
1492C2×D4—434no—
1493C2×D4—432no—
1494C2×D4—432no—
1495C2×D4—432no—
1496C2×D4—432no—
1497C2×D4—432no—
1498C2×D4—432no—
1499C2×D4—438no—
1500C2×D4—434no—
1501C2×D4—434no—
1502C2×D4—1728no—
1503C2×D4—1724no—
1504C2×D4—1728no—
1505C2×D4—1728no—
1506C2×D4—1724no—
1507C2×D4—1724no—
1508C2×D4—1728no—
1509C2×D4—17216no—
1510C2×D4—17216no—
1511C2×D4—1724no—
1512C2×D4C23×D4312yes—
1513C2×D4C23×D4314yes—
1514C2×D4C23×D4312yes—
1515C2×D4C23×D4312yes—
1516C2×D4C23×D4312yes—
1517C2×D4C23×D4318yes—
1518C2×D4C23×D4318yes—
1519C2×D4C23×D4312yes—
1520C22×C4—44no—
1521C22×C4—431no—
1522C22×C4—432no—
1523C22×C4—431no—
1524C22×C4—431no—
1525C22×C4—432no—
1526C22×C4—438no—
1527C22×C4—438no—
1528C22×C4—434no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—434no—
1538C22×C4—434no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—431no—
1542C22×C4—431no—
1543C22×C4—434no—
1544C22×C4—434no—
1545C22×C4—434no—
1546C22×C4—434no—
1547C22×C4—438no—
1548C22×C4—438no—
1549C22×C4—864no—
1550C22×C4—1728no—
1551C22×C4—1722no—
1552C22×C4—1722no—
1553C22×C4C23×D4311yescharacteristic
1554C22×C4C23×D4314yes—
1555C22×C4C23×D4314yes—
1556C22×C4C23×D4311yescharacteristic
1557C22×C4C23×D4314yes—
1558C22×C4C23×D4312yes—
1559C22×C4C23×D4318yes—
1560C22×C4C23×D4311yescharacteristic
1561C4⋊C4—434no—
1562C4⋊C4—432no—
1563C4⋊C4—432no—
1564C4⋊C4—432no—
1565C4⋊C4—434no—
1566C4⋊C4—438no—
1567C4⋊C4—434no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—432no—
1572C4⋊C4—434no—
1573C4⋊C4—434no—
1574C4⋊C4—432no—
1575C4⋊C4—434no—
1576C4⋊C4—438no—
1577C4⋊C4—438no—
1578C4⋊C4—434no—
1579C4⋊C4—434no—
1580C4⋊C4—438no—
1581C4⋊C4—438no—
1582C4⋊C4—434no—
1583C4⋊C4—434no—
1584C4⋊C4—434no—
1585C4⋊C4—432no—
1586C4⋊C4C23×D4312yes—
1587C4⋊C4C23×D4312yes—
1588C4⋊C4C23×D4312yes—
1589C4⋊C4C23×D4312yes—
1590C4⋊C4C23×D4312yes—
1591C4⋊C4C23×D4312yes—
1592C4⋊C4C23×D4318yes—
1593C4⋊C4C23×D4314yes—
1594C4⋊C4C23×D4312yes—
1595C4⋊C4C23×D4312yes—
1596C4⋊C4C23×D4314yes—
1597C22⋊C4—434no—
1598C22⋊C4—434no—
1599C22⋊C4—434no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—434no—
1604C22⋊C4—434no—
1605C22⋊C4—438no—
1606C22⋊C4—434no—
1607C22⋊C4—434no—
1608C22⋊C4—434no—
1609C22⋊C4—434no—
1610C22⋊C4—434no—
1611C22⋊C4—434no—
1612C22⋊C4—434no—
1613C22⋊C4—438no—
1614C22⋊C4—438no—
1615C22⋊C4—434no—
1616C22⋊C4—438no—
1617C22⋊C4—438no—
1618C22⋊C4—438no—
1619C22⋊C4—434no—
1620C22⋊C4—438no—
1621C22⋊C4—434no—
1622C22⋊C4—434no—
1623C22⋊C4—434no—
1624C22⋊C4—434no—
1625C22⋊C4—434no—
1626C22⋊C4C23×D4318yes—
1627C22⋊C4C23×D4314yes—
1628C22⋊C4C23×D4318yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4314yes—
1631C22⋊C4C23×D4314yes—
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—434no—
1649C42—434no—
1650C42—438no—
1651C42C23×D4311yescharacteristic
1652C42C23×D4311yescharacteristic
1653C42C23×D4311yescharacteristic
1654C42C23×D4311yescharacteristic
1655C42C23×D4314yes—
1656C42C23×D4318yes—
1657C23—24no—
1658C23—42no—
1659C23—42no—
1660C23—431no—
1661C23—434no—
1662C23—434no—
1663C23—431no—
1664C23—868no—
1665C23—862no—
1666C23—862no—
1667C23—1724no—
1668C23—1724no—
1669C23—1721no—
1670C23—1728no—
1671C23—1728no—
1672C23—1728no—
1673C23C24×D4314yes—
1674C23C24×D4314yes—
1675C23C24×D4311yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—42no—
1679Q8—864no—
1680Q8—864no—
1681Q8—864no—
1682Q8—864no—
1683Q8—1728no—
1684Q8—1724no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—24no—
1689D4—24no—
1690D4—42no—
1691D4—48no—
1692D4—48no—
1693D4—868no—
1694D4—868no—
1695D4—868no—
1696D4—868no—
1697D4—864no—
1698D4—864no—
1699D4—864no—
1700D4—864no—
1701D4—1724no—
1702D4—1722no—
1703D4—1728no—
1704D4—1722no—
1705D4—1724no—
1706D4—1728no—
1707D4—1728no—
1708D4—1724no—
1709D4—1724no—
1710D4—1724no—
1711D4—1728no—
1712D4—1724no—
1713D4—1724no—
1714D4—1728no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—28no—
1718C2×C4—44no—
1719C2×C4—42no—
1720C2×C4—41no—
1721C2×C4—48no—
1722C2×C4—431no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—434no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—434no—
1730C2×C4—434no—
1731C2×C4—434no—
1732C2×C4—862no—
1733C2×C4—862no—
1734C2×C4—862no—
1735C2×C4—864no—
1736C2×C4—862no—
1737C2×C4—862no—
1738C2×C4—862no—
1739C2×C4—862no—
1740C2×C4—868no—
1741C2×C4—868no—
1742C2×C4—862no—
1743C2×C4—862no—
1744C2×C4—1724no—
1745C2×C4—1724no—
1746C2×C4—1721no—
1747C2×C4—1721no—
1748C2×C4—1721no—
1749C2×C4—1721no—
1750C2×C4—1728no—
1751C2×C4—1728no—
1752C2×C4—1724no—
1753C2×C4—1724no—
1754C2×C4—1724no—
1755C2×C4—1721no—
1756C2×C4—1721no—
1757C2×C4—1728no—
1758C2×C4—1722no—
1759C2×C4—1728no—
1760C2×C4#1306337114yes—
1761C2×C4C24×D4311yescharacteristic
1762C2×C4C24×D4314yes—
1763C2×C4C24×D4311yescharacteristic
1764C2×C4C24×D4311yescharacteristic
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—24no—
1777C22—24no—
1778C22—24no—
1779C22—84no—
1780C22—432no—
1781C22—861no—
1782C22—861no—
1783C22—861no—
1784C22—864no—
1785C22—864no—
1786C22—861no—
1787C22—864no—
1788C22—864no—
1789C22—861no—
1790C22—864no—
1791C22—864no—
1792C22—3448no—
1793C22—1724no—
1794C22—6888no—
1795C22C2×#1306337112yes—
1796C22C25×D4311yescharacteristic
1797C4—24no—
1798C4—21no—
1799C4—21no—
1800C4—24no—
1801C4—21no—
1802C4—24no—
1803C4—24no—
1804C4—861no—
1805C4—861no—
1806C4—864no—
1807C4—864no—
1808C4—864no—
1809C4—861no—
1810C4—861no—
1811C4—864no—
1812C4—861no—
1813C4—861no—
1814C4C2×#1306337112yes—
1815C4C2×#1306337112yes—
1816C4#1458373412yes—
1817C2—22no—
1818C2—44no—
1819C2—44no—
1820C2—862no—
1821C2—1724no—
1822C2—1721no—
1823C2—1724no—
1824C2C22×#1306337111yescharacteristic
1825C2#585×D4311yescharacteristic
1826C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3506C2
hypercenter#3506D43
hypocenterC43#62830
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #19149181C2semidirect
2. #19149149C2semidirect
3. #19149025C2semidirect
4. #19149021C2semidirect
5. #19148987C2semidirect
6. #19148968C2semidirect
7. #19148919C2semidirect
8. #19148786C2semidirect
9. #19148635C2semidirect
10. #19148630C2semidirect
11. #19148615C2semidirect
12. #19148596C2semidirect
13. #19148559C2semidirect
14. #19148555C2semidirect
15. #19148512C2semidirect
16. #19148462C2semidirect
17. #19148424C2semidirect
18. #19148387C2semidirect
19. #19148361C2semidirect
20. #19148359C2semidirect
21. #19148332C2semidirect
22. #19148276C2semidirect
23. #19148262C2semidirect
24. #19147892C2semidirect
25. #532×D43C2semidirect
26. C2×#14583431C2semidirect
27. C43×#3506C2semidirect
28. C2×#13063372C22semidirect
29. C2×#13063370C22semidirect
30. C2×#41×D43C22semidirect
31. #14583651C22semidirect
32. #14583643C22semidirect
33. #14583639C22semidirect
34. #14583637C22semidirect
35. #14583634C22semidirect
36. #14583628C22semidirect
37. #14583623C22semidirect
38. #14583622C22semidirect
39. #14583614C22semidirect
40. #14583612C22semidirect
41. #14583610C22semidirect
42. #14583607C22semidirect
43. #14583601C22semidirect
44. #14583601C22semidirect
45. #14583598C22semidirect
46. #14583597C22semidirect
47. #14583595C22semidirect
48. #14583595C22semidirect
49. #14583593C22semidirect
50. #14583593C22semidirect
51. #14583588C22semidirect
52. #14583587C22semidirect
53. #14583584C22semidirect
54. #14583574C22semidirect
55. #14583572C22semidirect
56. #14583572C22semidirect
57. #14583572C22semidirect
58. #14583570C22semidirect
59. #14583569C22semidirect
60. #14583569C22semidirect
61. #14583568C22semidirect
62. Q8×D172C22semidirect
63. D4×Dic86C22semidirect
64. #14583564C22semidirect
65. #14583561C22semidirect
66. #14583558C22semidirect
67. #14583557C22semidirect
68. #14583557C22semidirect
69. #14583555C22semidirect
70. #14583555C22semidirect
71. #14583553C22semidirect
72. #14583553C22semidirect
73. #14583553C22semidirect
74. #14583553C22semidirect
75. #14583546C22semidirect
76. #14583546C22semidirect
77. #14583544C22semidirect
78. #14583544C22semidirect
79. #14583544C22semidirect
80. #14583544C22semidirect
81. #14583542C22semidirect
82. #14583542C22semidirect
83. #14583540C22semidirect
84. #14583537C22semidirect
85. #14583536C22semidirect
86. #14583536C22semidirect
87. #14583536C22semidirect
88. D4×D172C22semidirect
89. D4×D172C22semidirect
90. #14583534C22semidirect
91. #14583533C22semidirect
92. #14583531C22semidirect
93. #14583527C22semidirect
94. #14583522C22semidirect
95. #14583522C22semidirect
96. #14583518C22semidirect
97. #14583507C22semidirect
98. #14583502C22semidirect
99. #14583502C22semidirect
100. #14583502C22semidirect
101. #14583501C22semidirect
102. #14583500C22semidirect
103. #14583498C22semidirect
104. #14583493C22semidirect
105. #14583490C22semidirect
106. #14583488C22semidirect
107. #14583485C22semidirect
108. #14583485C22semidirect
109. #14583483C22semidirect
110. #14583482C22semidirect
111. #14583480C22semidirect
112. #14583480C22semidirect
113. #14583478C22semidirect
114. #14583477C22semidirect
115. #14583476C22semidirect
116. #14583475C22semidirect
117. #14583475C22semidirect
118. #14583469C22semidirect
119. #14583465C22semidirect
120. #14583463C22semidirect
121. #14583462C22semidirect
122. #14583461C22semidirect
123. #14583457C22semidirect
124. #14583454C22semidirect
125. #14583454C22semidirect
126. #14583450C22semidirect
127. #14583450C22semidirect
128. #14583450C22semidirect
130. #14583449C22semidirect
131. #14583448C22semidirect
132. #14583447C22semidirect
133. #14583447C22semidirect
134. #14583446C22semidirect
135. #14583446C22semidirect
136. #14583445C22semidirect
137. #14583444C22semidirect
138. #14583444C22semidirect
139. #14583444C22semidirect
140. C4⋊Q8×D43C22semidirect
141. #127×D43C22semidirect
142. #14583436C22semidirect
143. #14583436C22semidirect
144. #14583436C22semidirect
145. #14583435C22semidirect
146. #14583435C22semidirect
147. #14583435C22semidirect
148. #14583434C22semidirect
149. #14583434C22semidirect
150. #14583431C22semidirect
151. #14583431C22semidirect
152. #14583431C22semidirect
153. #14583431C22semidirect
154. #14583431C22semidirect
155. #14583431C22semidirect
156. #14583431C22semidirect
157. #14583431C22semidirect
158. #14583431C22semidirect
159. C2×#13063318C22semidirect
160. C2×#13063316C22semidirect
161. C2×#13063312C22semidirect
162. #124×D43C22semidirect
163. #124×D43C22semidirect
164. #14583412C22semidirect
165. #14583412C22semidirect
166. #14583411C22semidirect
167. #14583411C22semidirect
168. #14583409C22semidirect
169. C2×#13063307C22semidirect
170. C2×#13063305C22semidirect
171. C2×#13063305C22semidirect
172. C2×#13063299C22semidirect
174. #121×D43C22semidirect
175. #121×D43C22semidirect
176. #121×D43C22semidirect
177. #14583382C22semidirect
178. #14583379C22semidirect
179. #14583373C22semidirect
180. #14583371C22semidirect
181. C4×#10621902C22semidirect
182. C4×#10621902C22semidirect
183. #14583367C22semidirect
184. C2×C4×Dic86C22semidirect
185. C2×C4×C22⋊D43C22semidirect
186. C4×D4×D43C22semidirect
187. C4×D4×D43C22semidirect
188. C2×#13063284C22semidirect
189. C2×C42×D43C22semidirect
190. C43×#559C22semidirect
191. C43×#556C22semidirect
192. C43×#555C22semidirect
193. C43×#553C22semidirect
194. C43×#550C22semidirect
195. C43×#547C22semidirect
196. C43×#538C22semidirect
197. C43×#535C22semidirect
198. C43×#533C22semidirect
199. C43×#532C22semidirect
200. C43×#525C22semidirect
201. C43×#520C22semidirect
202. C2×C4×D4×C43C22semidirect
920. #3506D43semidirect
949. #559C2×D43semidirect
953. #556C2×D43semidirect
956. #555C2×D43semidirect
967. #553C2×D43semidirect
979. #550C2×D43semidirect
993. #547C2×D43semidirect
1030. #538C2×D43semidirect
1042. #535C2×D43semidirect
1047. #533C2×D43semidirect
1062. #532C2×D43semidirect
1092. #525C2×D43semidirect
1103. #520C2×D43semidirect
1113. C2×C4×D4C2×D43semidirect
1116. C43#62830semidirect

Maximal subgroups

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

subgroupindex
#191491812
#191491492
#191490252
#191490212
#191489872
#191489682
#191489192
#191487862
#191486352
#191486302
#191486152
#191485962
#191485592
#191485552
#191485122
#191484622
#191484242
#191483872
#191483612
#191483592
#191483322
#191482762
#191482622
#191478922
#532×D432
C2×#145834312
C43×#35062
#6283043