Finite Group Databasebeta

← #26005439

Subgroups — #26005439

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#19149186C214yesmaximal, complemented
2#19149144C214yesmaximal, complemented
3#19149037C212yesmaximal, complemented
4#19149011C214yesmaximal, complemented
5#19148980C212yesmaximal, complemented
6#19148955C212yesmaximal, complemented
7#19148919C212yesmaximal, complemented
8#19148774C214yesmaximal, complemented
9#19148645C212yesmaximal, complemented
10#19148626C212yesmaximal, complemented
11#19148622C214yesmaximal, complemented
12#19148598C212yesmaximal, complemented
13#19148557C212yesmaximal, complemented
14#19148549C214yesmaximal, complemented
15#19148516C212yesmaximal, complemented
16#19148460C211yesmaximal, characteristic, complemented
17#19148444C211yesmaximal, characteristic, complemented
18#19148431C214yesmaximal, complemented
19#19148389C212yesmaximal, complemented
20#19148357C211yesmaximal, characteristic, complemented
21#19148325C214yesmaximal, complemented
22#19148268C212yesmaximal, complemented
23#19148259C212yesmaximal, complemented
24#19147890C211yesmaximal, characteristic, complemented
25#532×D43C211yesmaximal, characteristic, complemented
26C2×#14583436C211yesmaximal, characteristic, complemented
27C43×#3497C211yesmaximal, characteristic, complemented
28C2×#13063371C2212yescomplemented
29C2×#41×D43C2212yescomplemented
30#14583650C2218yescomplemented
31#14583645C2218yescomplemented
32#14583637C2218yescomplemented
33#14583637C2218yescomplemented
34#14583634C2212yescomplemented
35#14583631C2214yescomplemented
36#14583627C2212yescomplemented
37#14583623C2212yescomplemented
38#14583622C2212yescomplemented
39#14583621C2214yescomplemented
40#14583615C2214yescomplemented
41#14583614C2212yescomplemented
42#14583611C2218yescomplemented
43#14583610C2214yescomplemented
44#14583609C2212yescomplemented
45#14583601C2218yescomplemented
46#14583601C2214yescomplemented
47#14583599C2214yescomplemented
48#14583599C2214yescomplemented
49#14583598C2218yescomplemented
50#14583596C2214yescomplemented
51#14583595C2214yescomplemented
52#14583592C2218yescomplemented
53#14583592C2218yescomplemented
54#14583591C2214yescomplemented
55#14583590C2214yescomplemented
56#14583583C2214yescomplemented
57#14583579C2218yescomplemented
58#14583578C2218yescomplemented
59#14583576C2218yescomplemented
60#14583576C2218yescomplemented
61#14583569C2214yescomplemented
62#14583569C2212yescomplemented
63#14583567C2214yescomplemented
64Q8×C22⋊D43C2214yescomplemented
65#14583560C2214yescomplemented
66#14583560C2214yescomplemented
67#14583560C2214yescomplemented
68#14583559C2214yescomplemented
69#14583554C2212yescomplemented
70#14583553C2212yescomplemented
71#14583552C2212yescomplemented
72#14583548C2218yescomplemented
73#14583548C2214yescomplemented
74#14583545C2214yescomplemented
75#14583544C2214yescomplemented
76#14583544C2214yescomplemented
77#14583542C2214yescomplemented
78#14583540C2214yescomplemented
79#14583538C2218yescomplemented
80#14583538C2218yescomplemented
81#14583537C2214yescomplemented
82#14583537C2218yescomplemented
83#14583537C2218yescomplemented
84#14583537C2218yescomplemented
85#14583537C2214yescomplemented
86#14583537C2214yescomplemented
87D4×D172C2212yescomplemented
88#14583534C2212yescomplemented
89#14583534C2214yescomplemented
90#14583533C2214yescomplemented
91#14583533C2218yescomplemented
92#14583526C2214yescomplemented
93#14583523C2214yescomplemented
94#14583519C2218yescomplemented
95#14583514C2214yescomplemented
96#14583509C2214yescomplemented
97#14583503C2214yescomplemented
98#14583502C2214yescomplemented
99#14583500C2214yescomplemented
100#14583500C2218yescomplemented
101#14583499C2218yescomplemented
102#14583498C2218yescomplemented
103#14583496C2214yescomplemented
104#14583495C2218yescomplemented
105#14583489C2218yescomplemented
106#14583486C2218yescomplemented
107#14583486C2214yescomplemented
108#14583483C2218yescomplemented
109#14583483C2218yescomplemented
110#14583481C2218yescomplemented
111#14583479C2214yescomplemented
112#14583477C2212yescomplemented
113#14583477C2214yescomplemented
114#14583473C2214yescomplemented
115#14583473C2212yescomplemented
116#14583473C2214yescomplemented
117#14583465C2214yescomplemented
118#14583463C2214yescomplemented
119#14583463C2212yescomplemented
120#14583462C2214yescomplemented
121#14583457C2214yescomplemented
122#14583457C2218yescomplemented
123#14583456C2211yescharacteristic, complemented
124#14583454C2211yescharacteristic, complemented
125#14583454C2211yescharacteristic, complemented
126#14583450C2211yescharacteristic, complemented
127#14583449C2211yescharacteristic
128#14583448C2212yescomplemented
129#14583447C2211yescharacteristic, complemented
130#14583447C2211yescharacteristic, complemented
131#14583447C2211yescharacteristic, complemented
132#14583446C2212yescomplemented
133#14583446C2212yescomplemented
134#14583445C2214yescomplemented
135#14583445C2212yescomplemented
136#14583444C2212yescomplemented
137#14583444C2212yescomplemented
138C4⋊Q8×D43C2211yescharacteristic, complemented
139#127×D43C2211yescharacteristic, complemented
140#14583436C2212yescomplemented
141#14583436C2212yescomplemented
142#14583436C2212yescomplemented
143#14583436C2212yescomplemented
144#14583436C2212yescomplemented
145#14583436C2212yescomplemented
146#14583436C2212yescomplemented
147#14583436C2212yescomplemented
148#14583435C2214yescomplemented
149#14583433C2214yescomplemented
150#14583431C2212yescomplemented
151#14583431C2212yescomplemented
152#14583430C2214yescomplemented
153#14583430C2212yescomplemented
154#14583430C2212yescomplemented
155#14583428C2212yescomplemented
156#14583428C2212yescomplemented
157C2×#13063320C2212yescomplemented
158C2×#13063316C2211yescharacteristic, complemented
159C2×#13063314C2214yescomplemented
160C2×#13063314C2211yescharacteristic, complemented
161#124×D43C2212yescomplemented
162#14583412C2214yescomplemented
163#14583409C2214yescomplemented
164#14583409C2212yescomplemented
165#14583409C2212yescomplemented
166#14583406C2214yescomplemented
167#14583406C2212yescomplemented
168C2×#13063310C2212yescomplemented
169C2×#13063301C2211yescharacteristic, complemented
170C2×#13063301C2214yescomplemented
171C2×#13063300C2211yescharacteristic
172#121×D43C2214yescomplemented
173#121×D43C2212yescomplemented
174#121×D43C2214yescomplemented
175#121×D43C2212yescomplemented
176#14583382C2212yescomplemented
177#14583380C2212yescomplemented
178#14583378C2214yescomplemented
179#14583371C2218yescomplemented
180#14583371C2214yescomplemented
181#41×Dic43C2212yescomplemented
182C4×#10621900C2212yescomplemented
183C4×#10621900C2212yescomplemented
184C2×C4×D172C2211yescharacteristic, complemented
185C2×C4×D172C2212yescomplemented
186C4×D4×D43C2212yescomplemented
187C4×D4×D43C2212yescomplemented
188C2×#13063282C2212yescomplemented
189C2×C42×D43C2211yescharacteristic, complemented
190C2×2−1+4×C43C2212yescomplemented
191C43×#550C2212yescomplemented
192C43×#550C2212yescomplemented
193D4×Q8×C43C2212yescomplemented
194D4×Q8×C43C2212yescomplemented
195C43×#548C2214yescomplemented
196C43×#548C2214yescomplemented
197C43×#537C2214yescomplemented
198C43×#537C2212yescomplemented
199C43×#532C2214yescomplemented
200C43×#532C2211yescharacteristic, complemented
201C43×#532C2211yescharacteristic, complemented
202C2×C4×Q8×C43C2211yescharacteristic, complemented
203#13063371—48no—
204C2×#10621902C2314yes—
205C2×#10621902C2312yes—
206C2×#10621898C2312yes—
207C2×#10621898C2314yes—
208C2×#10621898C2314yes—
209C2×#10621900C2314yes—
210C2×#10621900C2312yes—
211C2×#10621900C2312yes—
212C2×#10621900C2312yes—
213C2×#10621900C2314yes—
214#41×D43—48no—
215C2×Q8×D43C2312yes—
216C22×D172C2311yescharacteristic
217C22×D172C2312yes—
218C22×D172C2314yes—
219C2×D4×D43C2312yes—
220C2×D4×D43C2312yes—
221C2×D4×D43C2318yes—
222C2×D4×D43C2314yes—
223C2×D4×D43C2314yes—
224C2×D4×D43C2318yes—
225C2×D4×D43C2314yes—
226C2×D4×D43C2312yes—
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2312yes—
231C22×C4×D43C2314yes—
232#13063325C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324C2312yes—
236#13063324C2312yes—
237#13063323C2318yes—
238#13063323C2314yes—
239#13063323C2312yes—
240#13063322C2311yescharacteristic
241#13063321C2314yes—
242#13063321C2318yes—
243#13063321C2312yes—
244#13063321C2312yes—
245#13063321C2312yes—
246#13063320C2314yes—
247#13063320C2318yes—
248#13063320C2318yes—
249#13063320C2318yes—
250#13063320C2314yes—
251#13063320C2314yes—
252#13063320C2314yes—
253#13063319C2318yes—
254#13063318C2314yes—
255#13063318C2318yes—
256#13063318C2318yes—
257#13063318C2318yes—
258#13063318C2314yes—
259#13063317C2312yes—
260#13063317C2314yes—
261#13063316C2312yes—
262#13063316C2312yes—
263#13063316C2318yes—
264#13063316C2312yes—
265#13063316C2312yes—
266#13063316C2312yes—
267#13063316C2312yes—
268#13063315C2318yes—
269#13063315C2318yes—
270#13063314C2314yes—
271#13063314C2312yes—
272#13063314C2312yes—
273#13063314C2318yes—
274#13063314C2318yes—
275#13063314C2318yes—
276#13063314C2314yes—
277#13063314C2312yes—
278#13063314C2312yes—
279#13063314C2312yes—
280#13063313C2312yes—
281#13063313C2314yes—
282#13063312C2312yes—
283#13063312C2312yes—
284#13063312C2312yes—
285#13063311C2318yes—
286#13063311C2314yes—
287#13063311C2318yes—
288#13063311C2314yes—
289#13063310C2318yes—
290#13063310C2314yes—
291#13063310C2318yes—
292#13063310C2318yes—
293#13063310C2314yes—
294#13063310C2314yes—
295#13063310C2314yes—
296#13063309C2318yes—
297#13063309C2318yes—
298#13063309C2318yes—
299#13063308C2318yes—
300#13063308C2318yes—
301#13063308C2318yes—
302#13063308C2318yes—
303#13063308C2318yes—
304#13063307C2318yes—
305#13063307C2318yes—
306#13063307C2318yes—
307#13063307C2314yes—
308#13063307C2314yes—
309#13063306C2318yes—
310#13063306C2318yes—
311#13063306C2314yes—
312#13063305C2314yes—
313#13063305C2312yes—
314#13063305C2312yes—
315#13063304C2314yes—
316#13063304C2318yes—
317#13063304C2312yes—
318#13063304C2312yes—
319#13063303C2318yes—
320#13063303C2318yes—
321#13063301C2314yes—
322#13063301C2312yes—
323#13063301C2318yes—
324#13063301C2318yes—
325#13063301C2314yes—
326#13063301C2314yes—
327#13063301C2318yes—
328#13063301C2312yes—
329#13063301C2318yes—
330#13063301C2312yes—
331#13063301C2312yes—
332#13063301C2312yes—
333#13063301C2312yes—
334#13063300C2314yes—
335#13063300C2312yes—
336#13063300C2312yes—
337#13063300C2312yes—
338#13063300C2318yes—
339#13063300C2312yes—
340#13063300C2312yes—
341#13063300C2312yes—
342#13063299C2314yes—
343#13063299C2314yes—
344#13063299C2318yes—
345#13063299C2318yes—
346#13063299C2318yes—
347#13063299C2314yes—
348#13063299C2312yes—
349#13063299C2312yes—
350#13063298C2318yes—
351#13063298C2318yes—
352#13063298C2318yes—
353#13063298C2318yes—
354#13063298C2314yes—
355#13063298C2314yes—
356#13063297C2318yes—
357#13063297C2318yes—
358#13063297C2318yes—
359#13063297C2318yes—
360#13063297C2314yes—
361#13063297C2318yes—
362#13063297C2318yes—
363#13063297C2314yes—
364#13063297C2318yes—
365#13063297C2318yes—
366#13063296C2314yes—
367#13063296C2312yes—
368#13063296C2314yes—
369#13063296C2318yes—
370#13063296C2314yes—
371#13063296C2312yes—
372#13063296C2312yes—
373#13063296C2312yes—
374#13063296C2312yes—
375#13063296C2312yes—
376#13063295C2318yes—
377#13063295C2318yes—
378#13063295C2318yes—
379#13063293C2318yes—
380#13063293C2318yes—
381#13063293C2318yes—
382#13063293C2318yes—
383#13063293C2314yes—
384#13063293C2318yes—
385#13063293C2318yes—
386Q8×Dic43C2312yes—
387Q8×Dic43C2312yes—
388Q8×Dic43C2314yes—
389C4×Dic86C2314yes—
390C4×Dic86C2312yes—
391C4×Dic86C2312yes—
392#13063290C2314yes—
393#13063290C2312yes—
394#13063290C2312yes—
395C4×D172C2312yes—
396C4×D172C2312yes—
397C4×D172C2312yes—
398C4×D172C2314yes—
399C4×D172C2312yes—
400C4×D172C2312yes—
401C4×D172C2314yes—
402C4×D172C2314yes—
403C4×D172C2314yes—
404C4×D172C2312yes—
405C4×D172C2314yes—
406D4×Dic43C2318yes—
407D4×Dic43C2314yes—
408D4×Dic43C2312yes—
409D4×Dic43C2314yes—
410D4×Dic43C2318yes—
411D4×Dic43C2312yes—
412D4×Dic43C2314yes—
413D4×Dic43C2312yes—
414D4×Dic43C2312yes—
415D4×Dic43C2312yes—
416D4×Dic43C2312yes—
417#13063287C2318yes—
418#13063287C2312yes—
419#13063287C2312yes—
420#13063287C2314yes—
421C4×C22⋊D43C2314yes—
422C4×C22⋊D43C2314yes—
423C4×C22⋊D43C2318yes—
424C4×C22⋊D43C2318yes—
425C4×C22⋊D43C2314yes—
426C4×C22⋊D43C2314yes—
427C4×C22⋊D43C2318yes—
428C4×C22⋊D43C2318yes—
429C4×C22⋊D43C2318yes—
430(C22⋊D43)⋊C4C2318yes—
431(C22⋊D43)⋊C4C2314yes—
432(C22⋊D43)⋊C4C2318yes—
433(C22⋊D43)⋊C4C2318yes—
434(C22⋊D43)⋊C4C2314yes—
435(C22⋊D43)⋊C4C2314yes—
436(C22⋊D43)⋊C4C2314yes—
437#13063284C2314yes—
438#13063284C2312yes—
439#13063284C2314yes—
440#13063283C2312yes—
441#13063283C2318yes—
442#13063283C2314yes—
443#13063283C2312yes—
444#13063283C2314yes—
445#13063282C2314yes—
446#13063282C2314yes—
447#13063282C2318yes—
448#13063282C2314yes—
449#13063282C2314yes—
450#13063281C2314yes—
451#13063281C2318yes—
452#13063281C2314yes—
453C2×C4⋊Dic43C2314yes—
454C2×C4⋊Dic43C2312yes—
455C2×C4⋊Dic43C2311yescharacteristic
456C2×Dic43⋊C4C2312yes—
457C2×Dic43⋊C4C2318yes—
458C2×Dic43⋊C4C2312yes—
459C4⋊C4×D43C2314yes—
460C4⋊C4×D43C2314yes—
461C4⋊C4×D43C2312yes—
462C4⋊C4×D43C2312yes—
463C2×(C2×D43)⋊C4C2318yes—
464C2×(C2×D43)⋊C4C2318yes—
465C2×(C2×D43)⋊C4C2318yes—
466C2×(C2×D43)⋊C4C2312yes—
467C2×(C2×D43)⋊C4C2312yes—
468C2×(C2×D43)⋊C4C2312yes—
469C2×(C2×D43)⋊C4C2312yes—
470C2×(C2×D43)⋊C4C2312yes—
471C22⋊C4×D43C2314yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2314yes—
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2314yes—
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2311yescharacteristic
482C42×D43C2311yescharacteristic
483C42×D43C2311yescharacteristic
484C42×D43C2311yescharacteristic
485C42×D43C2311yescharacteristic
486C42×D43C2311yescharacteristic
4872−1+4×C43—48no—
488C2×#41×C43C2312yes—
489C2×#41×C43C2312yes—
490C2×#41×C43C2318yes—
491C2×#41×C43C2314yes—
492C2×#41×C43C2314yes—
493C22×Q8×C43C2311yescharacteristic
494C22×Q8×C43C2314yes—
495C22×Q8×C43C2314yes—
496C4⋊Q8×C43C2311yescharacteristic
497C4⋊Q8×C43C2314yes—
498C4⋊Q8×C43C2311yescharacteristic
499#127×C43C2311yescharacteristic
500#127×C43C2314yes—
501#127×C43C2311yescharacteristic
502#124×C43C2318yes—
503#124×C43C2312yes—
504#124×C43C2312yes—
505C22⋊Q8×C43C2314yes—
506C22⋊Q8×C43C2318yes—
507C22⋊Q8×C43C2318yes—
508C22⋊Q8×C43C2314yes—
509#121×C43C2314yes—
510#121×C43C2312yes—
511#121×C43C2312yes—
512#121×C43C2318yes—
513#121×C43C2312yes—
514#121×C43C2312yes—
515#121×C43C2318yes—
516#121×C43C2314yes—
517#121×C43C2318yes—
518C4×Q8×C43C2312yes—
519C4×Q8×C43C2312yes—
520C4×Q8×C43C2312yes—
521C4×Q8×C43C2312yes—
522C4×D4×C43C2312yes—
523C4×D4×C43C2312yes—
524C4×D4×C43C2318yes—
525C4×D4×C43C2312yes—
526C4×D4×C43C2314yes—
527C4×D4×C43C2314yes—
528C4×D4×C43C2312yes—
529C2×C4⋊C4×C43C2311yescharacteristic
530C2×C4⋊C4×C43C2312yes—
531C2×C42×C43C2311yescharacteristic
532C2×C42×C43C2312yes—
533C23×D43C2411yescharacteristic
534C23×D43C2414yes—
535C23×D43C2412yes—
536C23×D43C2418yes—
537#41×C43—28no—
538#41×C43—28no—
539#41×C43—416no—
540#41×C43—48no—
541#41×C43—48no—
542C2×Q8×C43—24no—
543C2×Q8×C43—48no—
544C2×Q8×C43—48no—
545C2×Q8×C43C2412yes—
546C2×Q8×C43C2412yes—
547C2×Q8×C43C2412yes—
548C2×Q8×C43C2412yes—
549C2×Q8×C43C2418yes—
550C2×D4×C43C2412yes—
551C2×D4×C43C2412yes—
552C2×D4×C43C2414yes—
553C2×D4×C43C2414yes—
554C2×D4×C43C2412yes—
555C2×D4×C43C2412yes—
556C2×D4×C43C2412yes—
557C2×D4×C43C2418yes—
558C2×D4×C43C2412yes—
559C2×D4×C43C2418yes—
560C22×C4×C43C2411yescharacteristic
561C22×C4×C43C2412yes—
562C22×C4×C43C2414yes—
563C22×C4×C43C2414yes—
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2412yes—
566C22×C4×C43C2418yes—
567C22×C4×C43C2418yes—
568C22×C4×C43C2411yescharacteristic
569C2×C22⋊D43C2414yes—
570C2×C22⋊D43C2414yes—
571C2×C22⋊D43C2418yes—
572C2×C22⋊D43C2418yes—
573C2×C22⋊D43C2414yes—
574C2×C22⋊D43C2418yes—
575C2×C22⋊D43C2414yes—
576C2×C22⋊D43C2414yes—
577C2×C22⋊D43C2414yes—
578C2×C22⋊D43C2418yes—
579C2×C22⋊D43C2414yes—
580C22×Dic43C2411yescharacteristic
581C22×Dic43C2411yescharacteristic
582C22×Dic43C2411yescharacteristic
583C22×Dic43C2414yes—
584C22×Dic43C2414yes—
585C22×Dic43C2412yes—
586C22×Dic43C2418yes—
587C22×Dic43C2414yes—
588#10621902—44no—
589#10621902—48no—
590Q8×D43—44no—
591#10621900—44no—
592#10621900—48no—
593#10621900—44no—
594#10621900—44no—
595#10621900—48no—
596D4×D43—44no—
597D4×D43—416no—
598D4×D43—48no—
599D4×D43—416no—
600D4×D43—44no—
601D4×D43—48no—
602D4×D43—44no—
603D4×D43—48no—
604#10621898—28no—
605#10621898—48no—
606#10621898—48no—
607C2×D172—24no—
608C2×D172—44no—
609C2×D172—48no—
610C2×D172C2414yes—
611C2×D172C2412yes—
612C2×D172C2412yes—
613C2×D172C2412yes—
614C2×D172C2412yes—
615C2×D172C2412yes—
616C2×D172C2414yes—
617C2×D172C2414yes—
618C2×D172C2418yes—
619C2×C4×D43—24no—
620C2×C4×D43—42no—
621C2×C4×D43—42no—
622C2×C4×D43—44no—
623C2×C4×D43—48no—
624C2×C4×D43C2411yescharacteristic
625C2×C4×D43C2411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×C4×D43C2411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×C4×D43C2411yescharacteristic
630C2×C4×D43C2411yescharacteristic
631C2×C4×D43C2411yescharacteristic
632C2×C4×D43C2414yes—
633C2×C4×D43C2414yes—
634C2×C4×D43C2411yescharacteristic
635C2×C4×D43C2411yescharacteristic
636C2×C4×D43C2411yescharacteristic
637C2×C4×D43C2411yescharacteristic
638C2×C4×D43C2414yes—
639C2×C4×D43C2414yes—
640C2×C4×D43C2414yes—
641C2×C4×D43C2418yes—
642C2×C4×D43C2418yes—
643C2×Dic86C2412yes—
644C2×Dic86C2412yes—
645C2×Dic86C2412yes—
646C2×Dic86C2414yes—
647C4⋊C4×C43C2412yes—
648C4⋊C4×C43C2412yes—
649C4⋊C4×C43C2414yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2412yes—
652C4⋊C4×C43C2412yes—
653C4⋊C4×C43C2412yes—
654C4⋊C4×C43C2418yes—
655C4⋊C4×C43C2412yes—
656C22⋊C4×C43C2414yes—
657C22⋊C4×C43C2414yes—
658C22⋊C4×C43C2418yes—
659C22⋊C4×C43C2414yes—
660C22⋊C4×C43C2414yes—
661C22⋊C4×C43C2418yes—
662C42×C43C2411yescharacteristic
663C42×C43C2411yescharacteristic
664C42×C43C2414yes—
665C42×C43C2411yescharacteristic
666C42×C43C2411yescharacteristic
667C42×C43C2414yes—
668C22⋊Dic43C2414yes—
669C22⋊Dic43C2414yes—
670C22⋊Dic43C2414yes—
671C22⋊Dic43C2418yes—
672C22⋊Dic43C2414yes—
673C22⋊Dic43C2414yes—
674C22⋊Dic43C2414yes—
675C22⋊Dic43C2414yes—
676C22⋊Dic43C2418yes—
677(C2×D43)⋊C4C2414yes—
678(C2×D43)⋊C4C2414yes—
679(C2×D43)⋊C4C2414yes—
680(C2×D43)⋊C4C2414yes—
681(C2×D43)⋊C4C2418yes—
682(C2×D43)⋊C4C2418yes—
683(C2×D43)⋊C4C2414yes—
684(C2×D43)⋊C4C2414yes—
685(C2×D43)⋊C4C2414yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2418yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2414yes—
691(C2×D43)⋊C4C2418yes—
692(C2×D43)⋊C4C2418yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2418yes—
699C4⋊Dic43C2412yes—
700C4⋊Dic43C2412yes—
701C4⋊Dic43C2412yes—
702C4⋊Dic43C2412yes—
703C4⋊Dic43C2412yes—
704C4⋊Dic43C2414yes—
705C4⋊Dic43C2412yes—
706C4⋊Dic43C2418yes—
707C4⋊Dic43C2414yes—
708C4⋊Dic43C2412yes—
709C4⋊Dic43C2412yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2414yes—
712Dic43⋊C4C2418yes—
713Dic43⋊C4C2414yes—
714Dic43⋊C4C2414yes—
715Dic43⋊C4C2418yes—
716Dic43⋊C4C2414yes—
717Dic43⋊C4C2414yes—
718Dic43⋊C4C2414yes—
719Dic43⋊C4C2414yes—
720Dic43⋊C4C2414yes—
721Dic43⋊C4C2418yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2414yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2418yes—
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×Dic43C2418yes—
742C4×Dic43C2418yes—
743C23×C43C2514yes—
744C23×C43C2514yes—
745C23×C43C2511yescharacteristic
746C22×D43—22no—
747C22×D43—24no—
748C22×D43—22no—
749C22×D43—28no—
750C22×D43—41no—
751C22×D43—44no—
752C22×D43—42no—
753C22×D43—42no—
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—24no—
765Q8×C43—24no—
766Q8×C43—48no—
767D4×C43—28no—
768D4×C43—28no—
769D4×C43—24no—
770D4×C43—24no—
771D4×C43—24no—
772D4×C43—24no—
773D4×C43—42no—
774D4×C43—48no—
775D4×C43—42no—
776D4×C43—48no—
777C2×C4×C43—24no—
778C2×C4×C43—28no—
779C2×C4×C43—28no—
780C2×C4×C43—22no—
781C2×C4×C43—41no—
782C2×C4×C43—42no—
783C2×C4×C43—48no—
784C2×C4×C43—48no—
785C2×C4×C43H(5,𝔽2)14yes—
786C2×C4×C43C2511yescharacteristic
787C2×C4×C43C2514yes—
788C2×C4×C43C2514yes—
789C2×C4×C43C2511yescharacteristic
790C2×C4×C43C2514yes—
791C2×C4×C43C2511yescharacteristic
792C2×C4×C43C2514yes—
793C2×C4×C43C2511yescharacteristic
794C2×C4×C43C2511yescharacteristic
795C2×C4×C43C2511yescharacteristic
796C22⋊D43—28no—
797C22⋊D43—28no—
798C22⋊D43—48no—
799C22⋊D43—44no—
800C22⋊D43—44no—
801C22⋊D43—48no—
802C22⋊D43—48no—
803C22⋊D43—44no—
804C22⋊D43—44no—
805C22⋊D43—48no—
806C22⋊D43—44no—
807C2×Dic43—22no—
808C2×Dic43—44no—
809C2×Dic43—41no—
810C2×Dic43—41no—
811C2×Dic43—42no—
812C2×Dic43—44no—
813C2×Dic43—48no—
814C2×Dic43—44no—
815C2×Dic43C2511yescharacteristic
816C2×Dic43C2511yescharacteristic
817C2×Dic43C2511yescharacteristic
818C2×Dic43C2511yescharacteristic
819C2×Dic43C2511yescharacteristic
820C2×Dic43C2514yes—
821C2×Dic43C2514yes—
822C2×Dic43C2511yescharacteristic
823C2×Dic43C2514yes—
824C2×Dic43C2514yes—
825D172—28no—
826D172—24no—
827D172—24no—
828D172—24no—
829D172—24no—
830D172—44no—
831D172—48no—
832D172—44no—
833D172—42no—
834C4×D43—22no—
835C4×D43—22no—
836C4×D43—22no—
837C4×D43—22no—
838C4×D43—22no—
839C4×D43—22no—
840C4×D43—28no—
841C4×D43—22no—
842C4×D43—28no—
843C4×D43—22no—
844C4×D43—41no—
845C4×D43—41no—
846C4×D43—44no—
847C4×D43—41no—
848C4×D43—41no—
849C4×D43—44no—
850C4×D43—44no—
851C4×D43—48no—
852C4×D43—48no—
853Dic86—24no—
854Dic86—24no—
855Dic86—44no—
856Dic86—42no—
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×C43C2×H(5,𝔽2)12yes—
867C22×C43C2611yescharacteristic
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—24no—
871C2×D43—21no—
872C2×D43—24no—
873C2×D43—24no—
874C2×D43—21no—
875C2×D43—24no—
876C2×D43—24no—
877C2×D43—24no—
878C2×D43—21no—
879C2×D43—44no—
880C2×D43—88no—
881C2×D43—84no—
882C2×D43—168no—
883C2×D43#58512yes—
884C4×C43—24no—
885C4×C43—24no—
886C4×C43—24no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—21no—
890C4×C43—24no—
891C4×C43C2×H(5,𝔽2)12yes—
892C4×C43C2×H(5,𝔽2)12yes—
893C4×C43#58512yes—
894Dic43—24no—
895Dic43—21no—
896Dic43—21no—
897Dic43—24no—
898Dic43—24no—
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#3507—431no—
920#3506—431no—
921#3505—434no—
922#3500—432no—
923#3497D4311yescharacteristic, complemented
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+4C2×D4312yescomplemented
942C2×H(5,𝔽2)—432no—
943C22×#41—432no—
944#563—438no—
945#562—438no—
946#560—438no—
947#560—438no—
948#559—434no—
949#559—432no—
950#557—432no—
951#556—432no—
952#556—434no—
953#556—432no—
954#555—434no—
955#555—438no—
956#555—432no—
957#554—434no—
958#554—432no—
959#553—438no—
960#553—438no—
961#553—434no—
962#553—434no—
963#553—438no—
964#553—434no—
965#553—438no—
966#553—434no—
967#553—434no—
968#552—434no—
969#552—434no—
970#552—434no—
971#551—438no—
972#551—438no—
973#551—438no—
974#551—438no—
975#550—432no—
976#550—434no—
977#550—434no—
978#550C2×D4312yescomplemented
979#550C2×D4312yescomplemented
980D4×Q8—434no—
981D4×Q8C2×D4312yescomplemented
982D4×Q8C2×D4312yescomplemented
983#548—434no—
984#548—434no—
985#548—434no—
986#548—434no—
987#548C2×D4314yescomplemented
988#548C2×D4314yescomplemented
989#547—438no—
990#547—434no—
991#547—432no—
992#547—432no—
993#547—432no—
994#546—434no—
995#546—438no—
996#546—438no—
997#546—434no—
998#546—434no—
999#546—438no—
1000#546—434no—
1001#546—434no—
1002#546—438no—
1003#546—438no—
1004#546—434no—
1005#546—434no—
1006#546—434no—
1007D42—432no—
1008D42—434no—
1009D42—434no—
1010D42—438no—
1011D42—432no—
1012#544—434no—
1013#542—434no—
1014#542—438no—
1015#542—434no—
1016#541—434no—
1017#540—434no—
1018#540—434no—
1019#540—438no—
1020#540—434no—
1021#540—438no—
1022#539—438no—
1023#539—438no—
1024#539—434no—
1025#538—438no—
1026#538—438no—
1027#538—438no—
1028#538—434no—
1029#538—438no—
1030#538—438no—
1031#537—432no—
1032#537—434no—
1033#537—434no—
1034#537C2×D4312yescomplemented
1035#537C2×D4314yescomplemented
1036#536—432no—
1037#536—434no—
1038#536—434no—
1039#535—432no—
1040#535—434no—
1041#535—434no—
1042#535—434no—
1043#534—434no—
1044#534—438no—
1045#533—431no—
1046#533—431no—
1047#533—431no—
1048#532—432no—
1049#532—434no—
1050#532—431no—
1051#532—431no—
1052#532—431no—
1053#532—431no—
1054#532—432no—
1055#532—432no—
1056#532—432no—
1057#532—432no—
1058#532—432no—
1059#532—431no—
1060#532C2×D4311yescharacteristic, complemented
1061#532C2×D4311yescharacteristic, complemented
1062#532C2×D4314yescomplemented
1063C2×C4⋊Q8—431no—
1064C2×#127—431no—
1065#529—432no—
1066#529—432no—
1067#529—434no—
1068#529—432no—
1069#529—432no—
1070#529—434no—
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—432no—
1080#529—432no—
1081#529—434no—
1082C2×#126—432no—
1083C2×#125—431no—
1084C2×#124—431no—
1085C2×#124—434no—
1086C2×#124—432no—
1087#525—432no—
1088#525—434no—
1089#525—434no—
1090#525—432no—
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—434no—
1100C2×#121—431no—
1101#520—432no—
1102#520—434no—
1103#520—432no—
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—48no—
1118H(5,𝔽2)—1728no—
1119C2×#41—434no—
1120C2×#41—432no—
1121C2×#41—432no—
1122C2×#41—432no—
1123C2×#41—434no—
1124C2×#41—434no—
1125C2×#41—432no—
1126C2×#41—432no—
1127C2×#41—434no—
1128C2×#41—434no—
1129C2×#41—1728no—
1130C2×#41C22×D4312yes—
1131C2×#41C22×D4312yes—
1132C2×#41C22×D4314yes—
1133C2×#41C22×D4314yes—
1134C2×#41C22×D4318yes—
1135C22×Q8—432no—
1136C22×Q8C22×D4311yescharacteristic
1137C22×Q8C22×D4314yes—
1138C22×Q8C22×D4314yes—
1139C22×D4—432no—
1140C22×D4—432no—
1141C22×D4—438no—
1142C22×D4—434no—
1143C22×D4—434no—
1144C22×D4—438no—
1145C22×D4—434no—
1146C22×D4—432no—
1147C22×D4—431no—
1148C22×D4—432no—
1149C22×D4—434no—
1150C23×C4—431no—
1151C23×C4—432no—
1152C23×C4—431no—
1153C23×C4—434no—
1154C23×C4—431no—
1155C4⋊Q8—432no—
1156C4⋊Q8—434no—
1157C4⋊Q8—438no—
1158C4⋊Q8—432no—
1159C4⋊Q8—432no—
1160C4⋊Q8—431no—
1161C4⋊Q8—431no—
1162C4⋊Q8—431no—
1163C4⋊Q8C22×D4311yescharacteristic
1164C4⋊Q8C22×D4311yescharacteristic
1165C4⋊Q8C22×D4314yes—
1166#127—432no—
1167#127—432no—
1168#127—432no—
1169#127—434no—
1170#127—438no—
1171#127—431no—
1172#127C22×D4311yescharacteristic
1173#127C22×D4311yescharacteristic
1174#127C22×D4314yes—
1175#126—434no—
1176#126—434no—
1177#126—434no—
1178#126—434no—
1179#126—438no—
1180#126—438no—
1181#126—438no—
1182#126—434no—
1183#126—434no—
1184#126—438no—
1185#126—438no—
1186#126—438no—
1187#126—438no—
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#125—438no—
1197#125—432no—
1198#125—434no—
1199#124—432no—
1200#124—432no—
1201#124—432no—
1202#124—432no—
1203#124—432no—
1204#124—434no—
1205#124—434no—
1206#124—438no—
1207#124—438no—
1208#124—438no—
1209#124—432no—
1210#124—432no—
1211#124—432no—
1212#124—434no—
1213#124—434no—
1214#124—438no—
1215#124—438no—
1216#124—432no—
1217#124—434no—
1218#124C22×D4312yes—
1219#124C22×D4312yes—
1220#124C22×D4318yes—
1221#123—434no—
1222#123—438no—
1223#123—438no—
1224#123—438no—
1225#123—438no—
1226#123—438no—
1227#123—438no—
1228#123—438no—
1229#123—434no—
1230#123—434no—
1231#123—434no—
1232#123—434no—
1233#123—438no—
1234#123—438no—
1235#123—438no—
1236#123—434no—
1237#123—434no—
1238#123—438no—
1239#123—438no—
1240#123—438no—
1241#123—438no—
1242#123—438no—
1243#123—438no—
1244C22⋊Q8—432no—
1245C22⋊Q8—432no—
1246C22⋊Q8—432no—
1247C22⋊Q8—432no—
1248C22⋊Q8—432no—
1249C22⋊Q8—434no—
1250C22⋊Q8—434no—
1251C22⋊Q8—438no—
1252C22⋊Q8—438no—
1253C22⋊Q8—432no—
1254C22⋊Q8—434no—
1255C22⋊Q8—438no—
1256C22⋊Q8—438no—
1257C22⋊Q8—432no—
1258C22⋊Q8—432no—
1259C22⋊Q8—434no—
1260C22⋊Q8—438no—
1261C22⋊Q8—432no—
1262C22⋊Q8—432no—
1263C22⋊Q8—434no—
1264C22⋊Q8—438no—
1265C22⋊Q8—438no—
1266C22⋊Q8C22×D4314yes—
1267C22⋊Q8C22×D4314yes—
1268C22⋊Q8C22×D4318yes—
1269C22⋊Q8C22×D4318yes—
1270#121—432no—
1271#121—432no—
1272#121—434no—
1273#121—434no—
1274#121—432no—
1275#121—438no—
1276#121—438no—
1277#121—434no—
1278#121—432no—
1279#121—432no—
1280#121—432no—
1281#121—434no—
1282#121—434no—
1283#121—438no—
1284#121—438no—
1285#121—438no—
1286#121—438no—
1287#121—438no—
1288#121—438no—
1289#121—438no—
1290#121—432no—
1291#121—432no—
1292#121—434no—
1293#121—434no—
1294#121—434no—
1295#121—438no—
1296#121—438no—
1297#121—438no—
1298#121—432no—
1299#121—432no—
1300#121—432no—
1301#121—432no—
1302#121—432no—
1303#121—432no—
1304#121—434no—
1305#121—438no—
1306#121—434no—
1307#121—434no—
1308#121—438no—
1309#121—438no—
1310#121—438no—
1311#121—438no—
1312#121C22×D4312yes—
1313#121C22×D4312yes—
1314#121C22×D4312yes—
1315#121C22×D4314yes—
1316#121C22×D4312yes—
1317#121C22×D4314yes—
1318#121C22×D4318yes—
1319#121C22×D4318yes—
1320#121C22×D4318yes—
1321#120—434no—
1322#120—438no—
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—434no—
1334C4×Q8—432no—
1335C4×Q8—432no—
1336C4×Q8—434no—
1337C4×Q8—432no—
1338C4×Q8—432no—
1339C4×Q8—434no—
1340C4×Q8C22×D4312yes—
1341C4×Q8C22×D4312yes—
1342C4×Q8C22×D4312yes—
1343C4×Q8C22×D4312yes—
1344C4×D4—432no—
1345C4×D4—432no—
1346C4×D4—432no—
1347C4×D4—434no—
1348C4×D4—434no—
1349C4×D4—432no—
1350C4×D4—432no—
1351C4×D4—432no—
1352C4×D4—438no—
1353C4×D4—438no—
1354C4×D4—434no—
1355C4×D4—434no—
1356C4×D4—434no—
1357C4×D4—434no—
1358C4×D4—434no—
1359C4×D4—438no—
1360C4×D4—438no—
1361C4×D4—438no—
1362C4×D4—438no—
1363C4×D4—438no—
1364C4×D4—432no—
1365C4×D4—432no—
1366C4×D4—438no—
1367C4×D4—434no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—434no—
1371C4×D4—434no—
1372C4×D4—438no—
1373C4×D4—438no—
1374C4×D4—438no—
1375C4×D4—434no—
1376C4×D4—434no—
1377C4×D4—434no—
1378C4×D4—432no—
1379C4×D4—432no—
1380C4×D4—432no—
1381C4×D4—432no—
1382C4×D4—434no—
1383C4×D4—432no—
1384C4×D4—432no—
1385C4×D4—434no—
1386C4×D4C22×D4312yes—
1387C4×D4C22×D4312yes—
1388C4×D4C22×D4312yes—
1389C4×D4C22×D4312yes—
1390C4×D4C22×D4318yes—
1391C4×D4C22×D4314yes—
1392C4×D4C22×D4314yes—
1393#117—432no—
1394#117—434no—
1395#117—434no—
1396#117—432no—
1397#117—432no—
1398#117—434no—
1399#117—438no—
1400#117—434no—
1401#117—434no—
1402#117—434no—
1403#117—438no—
1404#117—434no—
1405#117—434no—
1406#117—434no—
1407#117—434no—
1408#117—438no—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—431no—
1412C2×C4⋊C4—432no—
1413C2×C4⋊C4—434no—
1414C2×C4⋊C4—438no—
1415C2×C4⋊C4—432no—
1416C2×C4⋊C4—432no—
1417C2×C4⋊C4—434no—
1418C2×C4⋊C4—434no—
1419C2×C4⋊C4C22×D4311yescharacteristic
1420C2×C4⋊C4C22×D4312yes—
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—438no—
1428C2×C22⋊C4—438no—
1429C2×C22⋊C4—434no—
1430C2×C22⋊C4—434no—
1431C2×C22⋊C4—438no—
1432C2×C22⋊C4—438no—
1433C2×C42—431no—
1434C2×C42—434no—
1435C2×C42—431no—
1436C2×C42—431no—
1437C2×C42—431no—
1438C2×C42—431no—
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—28no—
1453#41—416no—
1454#41—48no—
1455#41—48no—
1456#41—868no—
1457#41—1728no—
1458#41—1728no—
1459#41—1728no—
1460#41—1724no—
1461#41—1728no—
1462#41—1724no—
1463#41—1724no—
1464#41—1724no—
1465#41—1728no—
1466C2×Q8—24no—
1467C2×Q8—48no—
1468C2×Q8—48no—
1469C2×Q8—432no—
1470C2×Q8—432no—
1471C2×Q8—432no—
1472C2×Q8—434no—
1473C2×Q8—1724no—
1474C2×Q8C23×D4312yes—
1475C2×Q8C23×D4312yes—
1476C2×Q8C23×D4312yes—
1477C2×Q8C23×D4312yes—
1478C2×Q8C23×D4318yes—
1479C2×D4—434no—
1480C2×D4—434no—
1481C2×D4—438no—
1482C2×D4—438no—
1483C2×D4—434no—
1484C2×D4—438no—
1485C2×D4—434no—
1486C2×D4—434no—
1487C2×D4—434no—
1488C2×D4—438no—
1489C2×D4—434no—
1490C2×D4—434no—
1491C2×D4—432no—
1492C2×D4—432no—
1493C2×D4—432no—
1494C2×D4—432no—
1495C2×D4—432no—
1496C2×D4—434no—
1497C2×D4—434no—
1498C2×D4—438no—
1499C2×D4—864no—
1500C2×D4—1728no—
1501C2×D4—1724no—
1502C2×D4—1724no—
1503C2×D4—1728no—
1504C2×D4—1724no—
1505C2×D4—1728no—
1506C2×D4—1724no—
1507C2×D4—1728no—
1508C2×D4—17216no—
1509C2×D4—17216no—
1510C2×D4C23×D4314yes—
1511C2×D4C23×D4314yes—
1512C2×D4C23×D4312yes—
1513C2×D4C23×D4312yes—
1514C2×D4C23×D4312yes—
1515C2×D4C23×D4312yes—
1516C2×D4C23×D4312yes—
1517C2×D4C23×D4318yes—
1518C2×D4C23×D4312yes—
1519C2×D4C23×D4318yes—
1520C22×C4—431no—
1521C22×C4—431no—
1522C22×C4—431no—
1523C22×C4—434no—
1524C22×C4—434no—
1525C22×C4—432no—
1526C22×C4—438no—
1527C22×C4—434no—
1528C22×C4—431no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—434no—
1537C22×C4—434no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—431no—
1542C22×C4—434no—
1543C22×C4—434no—
1544C22×C4—434no—
1545C22×C4—438no—
1546C22×C4—438no—
1547C22×C4—864no—
1548C22×C4—1728no—
1549C22×C4—1722no—
1550C22×C4—1724no—
1551C22×C4—1722no—
1552C22×C4C23×D4311yescharacteristic
1553C22×C4C23×D4314yes—
1554C22×C4C23×D4312yes—
1555C22×C4C23×D4314yes—
1556C22×C4C23×D4311yescharacteristic
1557C22×C4C23×D4312yes—
1558C22×C4C23×D4318yes—
1559C22×C4C23×D4318yes—
1560C22×C4C23×D4311yescharacteristic
1561C4⋊C4—432no—
1562C4⋊C4—434no—
1563C4⋊C4—432no—
1564C4⋊C4—432no—
1565C4⋊C4—432no—
1566C4⋊C4—434no—
1567C4⋊C4—438no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—434no—
1572C4⋊C4—432no—
1573C4⋊C4—434no—
1574C4⋊C4—434no—
1575C4⋊C4—432no—
1576C4⋊C4—434no—
1577C4⋊C4—438no—
1578C4⋊C4—438no—
1579C4⋊C4—438no—
1580C4⋊C4—432no—
1581C4⋊C4—434no—
1582C4⋊C4—438no—
1583C4⋊C4—434no—
1584C4⋊C4—434no—
1585C4⋊C4—434no—
1586C4⋊C4—434no—
1587C4⋊C4—432no—
1588C4⋊C4C23×D4312yes—
1589C4⋊C4C23×D4312yes—
1590C4⋊C4C23×D4312yes—
1591C4⋊C4C23×D4312yes—
1592C4⋊C4C23×D4312yes—
1593C4⋊C4C23×D4314yes—
1594C4⋊C4C23×D4314yes—
1595C4⋊C4C23×D4318yes—
1596C4⋊C4C23×D4312yes—
1597C22⋊C4—434no—
1598C22⋊C4—434no—
1599C22⋊C4—434no—
1600C22⋊C4—438no—
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—434no—
1614C22⋊C4—438no—
1615C22⋊C4—438no—
1616C22⋊C4—438no—
1617C22⋊C4—434no—
1618C22⋊C4—434no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4—438no—
1623C22⋊C4—438no—
1624C22⋊C4—434no—
1625C22⋊C4—434no—
1626C22⋊C4—438no—
1627C22⋊C4—434no—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4318yes—
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—438no—
1650C42—438no—
1651C42C23×D4311yescharacteristic
1652C42C23×D4311yescharacteristic
1653C42C23×D4311yescharacteristic
1654C42C23×D4311yescharacteristic
1655C42C23×D4314yes—
1656C42C23×D4314yes—
1657C23—431no—
1658C23—434no—
1659C23—434no—
1660C23—431no—
1661C23—868no—
1662C23—862no—
1663C23—864no—
1664C23—862no—
1665C23—1724no—
1666C23—1722no—
1667C23—1722no—
1668C23—1724no—
1669C23—1721no—
1670C23—1728no—
1671C23—1728no—
1672C23—1728no—
1673C23C24×D4314yes—
1674C23C24×D4314yes—
1675C23C24×D4311yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—48no—
1681Q8—864no—
1682Q8—864no—
1683Q8—1724no—
1684Q8—1722no—
1685D4—28no—
1686D4—28no—
1687D4—24no—
1688D4—24no—
1689D4—24no—
1690D4—24no—
1691D4—42no—
1692D4—48no—
1693D4—48no—
1694D4—42no—
1695D4—868no—
1696D4—868no—
1697D4—868no—
1698D4—864no—
1699D4—864no—
1700D4—864no—
1701D4—864no—
1702D4—1728no—
1703D4—1724no—
1704D4—1722no—
1705D4—1724no—
1706D4—1728no—
1707D4—1724no—
1708D4—1724no—
1709D4—1724no—
1710D4—1728no—
1711D4—1728no—
1712D4—1724no—
1713D4—1728no—
1714D4—1724no—
1715C2×C4—24no—
1716C2×C4—28no—
1717C2×C4—28no—
1718C2×C4—22no—
1719C2×C4—41no—
1720C2×C4—42no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—434no—
1726C2×C4—434no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—431no—
1730C2×C4—431no—
1731C2×C4—434no—
1732C2×C4—434no—
1733C2×C4—862no—
1734C2×C4—862no—
1735C2×C4—862no—
1736C2×C4—862no—
1737C2×C4—862no—
1738C2×C4—862no—
1739C2×C4—862no—
1740C2×C4—868no—
1741C2×C4—862no—
1742C2×C4—868no—
1743C2×C4—862no—
1744C2×C4—1724no—
1745C2×C4—1724no—
1746C2×C4—1721no—
1747C2×C4—1721no—
1748C2×C4—1721no—
1749C2×C4—1724no—
1750C2×C4—1721no—
1751C2×C4—1728no—
1752C2×C4—1728no—
1753C2×C4—1724no—
1754C2×C4—1721no—
1755C2×C4—1721no—
1756C2×C4—1722no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1728no—
1760C2×C4#1306337014yes—
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—24no—
1777C22—24no—
1778C22—24no—
1779C22—432no—
1780C22—861no—
1781C22—861no—
1782C22—861no—
1783C22—864no—
1784C22—864no—
1785C22—861no—
1786C22—864no—
1787C22—864no—
1788C22—861no—
1789C22—864no—
1790C22—864no—
1791C22—3444no—
1792C22—3448no—
1793C22—1724no—
1794C22—6888no—
1795C22C2×#1306337012yes—
1796C22C25×D4311yescharacteristic
1797C4—24no—
1798C4—24no—
1799C4—24no—
1800C4—21no—
1801C4—21no—
1802C4—24no—
1803C4—21no—
1804C4—861no—
1805C4—861no—
1806C4—864no—
1807C4—861no—
1808C4—861no—
1809C4—864no—
1810C4—861no—
1811C4—864no—
1812C4—861no—
1813C4—864no—
1814C4C2×#1306337012yes—
1815C4C2×#1306337012yes—
1816C4#1458373612yes—
1817C2—22no—
1818C2—44no—
1819C2—44no—
1820C2—862no—
1821C2—1724no—
1822C2—1724no—
1823C2—1721no—
1824C2C22×#1306337011yescharacteristic
1825C2#585×D4311yescharacteristic
1826C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3497C2
hypercenter#3497D43
hypocenterC43#62830
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3497

Complements

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

NH ≅ G/Ntype
1. #19149186C2semidirect
2. #19149144C2semidirect
3. #19149037C2semidirect
4. #19149011C2semidirect
5. #19148980C2semidirect
6. #19148955C2semidirect
7. #19148919C2semidirect
8. #19148774C2semidirect
9. #19148645C2semidirect
10. #19148626C2semidirect
11. #19148622C2semidirect
12. #19148598C2semidirect
13. #19148557C2semidirect
14. #19148549C2semidirect
15. #19148516C2semidirect
16. #19148460C2semidirect
17. #19148444C2semidirect
18. #19148431C2semidirect
19. #19148389C2semidirect
20. #19148357C2semidirect
21. #19148325C2semidirect
22. #19148268C2semidirect
23. #19148259C2semidirect
24. #19147890C2semidirect
25. #532×D43C2semidirect
26. C2×#14583436C2semidirect
27. C43×#3497C2semidirect
28. C2×#13063371C22semidirect
29. C2×#41×D43C22semidirect
30. #14583650C22semidirect
31. #14583645C22semidirect
32. #14583637C22semidirect
33. #14583637C22semidirect
34. #14583634C22semidirect
35. #14583631C22semidirect
36. #14583627C22semidirect
37. #14583623C22semidirect
38. #14583622C22semidirect
39. #14583621C22semidirect
40. #14583615C22semidirect
41. #14583614C22semidirect
42. #14583611C22semidirect
43. #14583610C22semidirect
44. #14583609C22semidirect
45. #14583601C22semidirect
46. #14583601C22semidirect
47. #14583599C22semidirect
48. #14583599C22semidirect
49. #14583598C22semidirect
50. #14583596C22semidirect
51. #14583595C22semidirect
52. #14583592C22semidirect
53. #14583592C22semidirect
54. #14583591C22semidirect
55. #14583590C22semidirect
56. #14583583C22semidirect
57. #14583579C22semidirect
58. #14583578C22semidirect
59. #14583576C22semidirect
60. #14583576C22semidirect
61. #14583569C22semidirect
62. #14583569C22semidirect
63. #14583567C22semidirect
64. Q8×C22⋊D43C22semidirect
65. #14583560C22semidirect
66. #14583560C22semidirect
67. #14583560C22semidirect
68. #14583559C22semidirect
69. #14583554C22semidirect
70. #14583553C22semidirect
71. #14583552C22semidirect
72. #14583548C22semidirect
73. #14583548C22semidirect
74. #14583545C22semidirect
75. #14583544C22semidirect
76. #14583544C22semidirect
77. #14583542C22semidirect
78. #14583540C22semidirect
79. #14583538C22semidirect
80. #14583538C22semidirect
81. #14583537C22semidirect
82. #14583537C22semidirect
83. #14583537C22semidirect
84. #14583537C22semidirect
85. #14583537C22semidirect
86. #14583537C22semidirect
87. D4×D172C22semidirect
88. #14583534C22semidirect
89. #14583534C22semidirect
90. #14583533C22semidirect
91. #14583533C22semidirect
92. #14583526C22semidirect
93. #14583523C22semidirect
94. #14583519C22semidirect
95. #14583514C22semidirect
96. #14583509C22semidirect
97. #14583503C22semidirect
98. #14583502C22semidirect
99. #14583500C22semidirect
100. #14583500C22semidirect
101. #14583499C22semidirect
102. #14583498C22semidirect
103. #14583496C22semidirect
104. #14583495C22semidirect
105. #14583489C22semidirect
106. #14583486C22semidirect
107. #14583486C22semidirect
108. #14583483C22semidirect
109. #14583483C22semidirect
110. #14583481C22semidirect
111. #14583479C22semidirect
112. #14583477C22semidirect
113. #14583477C22semidirect
114. #14583473C22semidirect
115. #14583473C22semidirect
116. #14583473C22semidirect
117. #14583465C22semidirect
118. #14583463C22semidirect
119. #14583463C22semidirect
120. #14583462C22semidirect
121. #14583457C22semidirect
122. #14583457C22semidirect
123. #14583456C22semidirect
124. #14583454C22semidirect
125. #14583454C22semidirect
126. #14583450C22semidirect
128. #14583448C22semidirect
129. #14583447C22semidirect
130. #14583447C22semidirect
131. #14583447C22semidirect
132. #14583446C22semidirect
133. #14583446C22semidirect
134. #14583445C22semidirect
135. #14583445C22semidirect
136. #14583444C22semidirect
137. #14583444C22semidirect
138. C4⋊Q8×D43C22semidirect
139. #127×D43C22semidirect
140. #14583436C22semidirect
141. #14583436C22semidirect
142. #14583436C22semidirect
143. #14583436C22semidirect
144. #14583436C22semidirect
145. #14583436C22semidirect
146. #14583436C22semidirect
147. #14583436C22semidirect
148. #14583435C22semidirect
149. #14583433C22semidirect
150. #14583431C22semidirect
151. #14583431C22semidirect
152. #14583430C22semidirect
153. #14583430C22semidirect
154. #14583430C22semidirect
155. #14583428C22semidirect
156. #14583428C22semidirect
157. C2×#13063320C22semidirect
158. C2×#13063316C22semidirect
159. C2×#13063314C22semidirect
160. C2×#13063314C22semidirect
161. #124×D43C22semidirect
162. #14583412C22semidirect
163. #14583409C22semidirect
164. #14583409C22semidirect
165. #14583409C22semidirect
166. #14583406C22semidirect
167. #14583406C22semidirect
168. C2×#13063310C22semidirect
169. C2×#13063301C22semidirect
170. C2×#13063301C22semidirect
172. #121×D43C22semidirect
173. #121×D43C22semidirect
174. #121×D43C22semidirect
175. #121×D43C22semidirect
176. #14583382C22semidirect
177. #14583380C22semidirect
178. #14583378C22semidirect
179. #14583371C22semidirect
180. #14583371C22semidirect
181. #41×Dic43C22semidirect
182. C4×#10621900C22semidirect
183. C4×#10621900C22semidirect
184. C2×C4×D172C22semidirect
185. C2×C4×D172C22semidirect
186. C4×D4×D43C22semidirect
187. C4×D4×D43C22semidirect
188. C2×#13063282C22semidirect
189. C2×C42×D43C22semidirect
190. C2×2−1+4×C43C22semidirect
191. C43×#550C22semidirect
192. C43×#550C22semidirect
193. D4×Q8×C43C22semidirect
194. D4×Q8×C43C22semidirect
195. C43×#548C22semidirect
196. C43×#548C22semidirect
197. C43×#537C22semidirect
198. C43×#537C22semidirect
199. C43×#532C22semidirect
200. C43×#532C22semidirect
201. C43×#532C22semidirect
202. C2×C4×Q8×C43C22semidirect
923. #3497D43semidirect
941. C2×2−1+4C2×D43semidirect
978. #550C2×D43semidirect
979. #550C2×D43semidirect
981. D4×Q8C2×D43semidirect
982. D4×Q8C2×D43semidirect
987. #548C2×D43semidirect
988. #548C2×D43semidirect
1034. #537C2×D43semidirect
1035. #537C2×D43semidirect
1060. #532C2×D43semidirect
1061. #532C2×D43semidirect
1062. #532C2×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
#191491862
#191491442
#191490372
#191490112
#191489802
#191489552
#191489192
#191487742
#191486452
#191486262
#191486222
#191485982
#191485572
#191485492
#191485162
#191484602
#191484442
#191484312
#191483892
#191483572
#191483252
#191482682
#191482592
#191478902
#532×D432
C2×#145834362
C43×#34972
#6283043