Finite Group Databasebeta

← #26005228

Subgroups — #26005228

Order 11008.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148912C214yesmaximal, complemented
2#19148905C214yesmaximal, complemented
3#19148831C214yesmaximal, complemented
4#19148823C214yesmaximal, complemented
5#19148783C218yesmaximal, complemented
6#19148628C214yesmaximal, complemented
7#19148620C214yesmaximal, complemented
8#19148435C214yesmaximal, complemented
9#19148353C214yesmaximal, complemented
10#19148333C212yesmaximal, complemented
11#19148331C212yesmaximal, complemented
12#19148304C211yesmaximal, characteristic, complemented
13#19148278C214yesmaximal, complemented
14#19148265C212yesmaximal, complemented
15#19148259C212yesmaximal, complemented
16#19148228C212yesmaximal, complemented
17#19148228C214yesmaximal, complemented
18#525×D43C212yesmaximal, complemented
19C22×#13063300C211yesmaximal, characteristic, complemented
20C43×#3492C211yesmaximal, characteristic, complemented
21C2×#13063371C2214yescomplemented
22C2×#13063371C2212yescomplemented
23C2×#41×D43C2212yescomplemented
24C23×D172C2211yescharacteristic, complemented
25C23×D172C2212yescomplemented
26C23×C4×D43C2211yescharacteristic, complemented
27#14583647C2218yescomplemented
28#14583645C2218yescomplemented
29#14583640C2218yescomplemented
30#14583639C2218yescomplemented
31#14583615C2214yescomplemented
32#14583612C2214yescomplemented
33#14583604C2214yescomplemented
34#14583602C2214yescomplemented
35#14583602C2214yescomplemented
36#14583602C2218yescomplemented
37#14583600C2218yescomplemented
38#14583597C2214yescomplemented
39#14583597C2214yescomplemented
40#14583593C2214yescomplemented
41#14583584C2214yescomplemented
42#14583578C2218yescomplemented
43#14583576C2218yescomplemented
44#14583573C2218yescomplemented
45#14583572C2218yescomplemented
46#14583571C2214yescomplemented
47#14583567C2214yescomplemented
48#14583561C2214yescomplemented
49#14583559C2214yescomplemented
50#14583552C2214yescomplemented
51#14583550C2214yescomplemented
52#14583550C2214yescomplemented
53#14583545C2214yescomplemented
54#14583545C2218yescomplemented
55#14583545C2218yescomplemented
56#14583545C2214yescomplemented
57#14583544C2218yescomplemented
58#14583544C2214yescomplemented
59#14583541C2218yescomplemented
60#14583541C2218yescomplemented
61#14583540C2214yescomplemented
62#14583540C2218yescomplemented
63#14583540C2218yescomplemented
64#14583540C2214yescomplemented
65#14583540C2218yescomplemented
66#14583540C2214yescomplemented
67#14583538C2218yescomplemented
68#14583537C2218yescomplemented
69D4×D172C2214yescomplemented
70D4×D172C2218yescomplemented
71D4×D172C2214yescomplemented
72D4×D172C2218yescomplemented
73D4×D172C2214yescomplemented
74#14583533C2214yescomplemented
75#14583533C2218yescomplemented
76#14583533C2214yescomplemented
77#14583533C2218yescomplemented
78#14583533C2214yescomplemented
79#14583530C2211yescharacteristic, complemented
80#14583524C2214yescomplemented
81#14583523C2214yescomplemented
82#14583521C2214yescomplemented
83#14583505C2214yescomplemented
84#14583505C2218yescomplemented
85#14583501C2218yescomplemented
86#14583500C2214yescomplemented
87#14583497C2218yescomplemented
88#14583496C2214yescomplemented
89#14583489C2214yescomplemented
90#14583489C2218yescomplemented
91#14583488C2218yescomplemented
92#14583488C2218yescomplemented
93#14583486C2214yescomplemented
94#14583482C2218yescomplemented
95#14583480C2211yescharacteristic, complemented
96#14583480C2214yescomplemented
97#14583479C2218yescomplemented
98#14583479C2214yescomplemented
99#14583468C2212yescomplemented
100#14583468C2214yescomplemented
101#14583468C2214yescomplemented
102#14583465C2214yescomplemented
103#14583463C2212yescomplemented
104#14583463C2214yescomplemented
105#14583460C2218yescomplemented
106#14583460C2218yescomplemented
107#14583460C2218yescomplemented
108#14583460C2218yescomplemented
109#14583457C2214yescomplemented
110#14583450C2214yescomplemented
111#14583446C2214yescomplemented
112#14583436C2214yescomplemented
113#14583434C2214yescomplemented
114#14583412C2212yescomplemented
115#14583412C2212yescomplemented
116#14583412C2214yescomplemented
117#14583411C2212yescomplemented
118#14583411C2214yescomplemented
119#14583410C2212yescomplemented
120#14583410C2214yescomplemented
121#14583409C2212yescomplemented
122#14583409C2212yescomplemented
123#14583408C2214yescomplemented
124#14583408C2214yescomplemented
125#14583407C2214yescomplemented
126#14583406C2212yescomplemented
127#14583405C2214yescomplemented
128#123×D43C2214yescomplemented
129C22⋊Q8×D43C2212yescomplemented
130C22⋊Q8×D43C2212yescomplemented
131C2×#13063300C2214yescomplemented
132C2×#13063300C2212yescomplemented
133C2×#13063300C2212yescomplemented
134C2×#13063300C2214yescomplemented
135C2×#13063300C2214yescomplemented
136C2×#13063300C2214yescomplemented
137C2×#13063300C2214yescomplemented
138C2×#13063300C2214yescomplemented
139#121×D43C2212yescomplemented
140#121×D43C2212yescomplemented
141#121×D43C2214yescomplemented
142#120×D43C2214yescomplemented
143#120×D43C2218yescomplemented
144#14583380C2212yescomplemented
145#14583373C2212yescomplemented
146#14583373C2214yescomplemented
147#14583371C2218yescomplemented
148C4×D4×D43C2214yescomplemented
149C4×D4×D43C2214yescomplemented
150#117×D43C2212yescomplemented
151C22×(C2×D43)⋊C4C2212yescomplemented
152C43×#554C2214yescomplemented
153C43×#553C2214yescomplemented
154C43×#552C2214yescomplemented
155C43×#547C2214yescomplemented
156C43×#544C2211yescharacteristic, complemented
157C43×#539C2214yescomplemented
158C43×#537C2211yescharacteristic, complemented
159C43×#525C2212yescomplemented
160C43×#525C2214yescomplemented
161C43×#520C2212yescomplemented
162C22×C4⋊C4×C43C2211yescharacteristic, complemented
163C24×D43C2311yescharacteristic
164C24×D43C2312yes—
165#13063371—48no—
166#13063371—416no—
167C2×#10621902C2318yescomplemented
168C2×#10621902C2314yescomplemented
169C2×#10621902C2312yescomplemented
170C2×#10621898C2312yes—
171C2×#10621898C2314yes—
172C2×#10621898C2314yescomplemented
173C2×#10621898C2314yescomplemented
174C2×#10621898C2318yescomplemented
175C2×#10621900C2314yes—
176C2×#10621900C2312yescomplemented
177#41×D43—48no—
178C2×Q8×D43C2312yescomplemented
179C22×D172—44no—
180C22×D172—48no—
181C22×D172C2314yes—
182C22×D172C2312yes—
183C22×D172C2312yes—
184C22×D172C2314yes—
185C22×D172C2314yes—
186C22×D172C2318yes—
187C22×D172C2314yes—
188C22×D172C2314yes—
189C22×D172C2314yes—
190C22×D172C2318yescomplemented
191C22×D172C2314yescomplemented
192C2×D4×D43C2314yes—
193C2×D4×D43C2314yes—
194C2×D4×D43C2318yes—
195C2×D4×D43C2314yes—
196C2×D4×D43C2318yes—
197C2×D4×D43C2318yes—
198C2×D4×D43C2312yescomplemented
199C2×D4×D43C2318yescomplemented
200C2×D4×D43C2314yescomplemented
201C23×Dic43C2311yescharacteristic
202C22×C4×D43—44no—
203C22×C4×D43C2312yes—
204C22×C4×D43C2312yes—
205C22×C4×D43C2312yes—
206C22×C4×D43C2312yes—
207C22×C4×D43C2312yes—
208C22×C4×D43C2312yes—
209C22×C4×D43C2314yescomplemented
210#13063324C2314yescomplemented
211#13063322C2318yescomplemented
212#13063322C2314yescomplemented
213#13063321C2318yescomplemented
214#13063321C2314yescomplemented
215#13063320C2318yescomplemented
216#13063320C2318yescomplemented
217#13063320C2318yescomplemented
218#13063320C2318yescomplemented
219#13063319C2318yescomplemented
220#13063316C2314yescomplemented
221#13063315C2318yescomplemented
222#13063314C2314yescomplemented
223#13063314C2318yescomplemented
224#13063314C2318yescomplemented
225#13063313C2318yescomplemented
226#13063313C2314yescomplemented
227#13063313C2318yescomplemented
228#13063311C2318yescomplemented
229#13063311C2318yescomplemented
230#13063310C2318yescomplemented
231#13063310C2318yescomplemented
232#13063310C2318yescomplemented
233#13063310C2318yescomplemented
234#13063310C2318yescomplemented
235#13063310C2318yescomplemented
236#13063310C2318yescomplemented
237#13063310C2318yescomplemented
238#13063310C2318yescomplemented
239#13063310C2314yescomplemented
240#13063310C2314yescomplemented
241#13063310C2318yescomplemented
242#13063309C2314yes—
243#13063309C2318yescomplemented
244#13063308C2318yes—
245#13063308C2314yes—
246#13063308C2318yescomplemented
247#13063307C2318yescomplemented
248#13063307C2314yescomplemented
249#13063307C2314yescomplemented
250#13063306C2314yes—
251#13063305C2318yescomplemented
252#13063305C2314yescomplemented
253#13063305C2312yescomplemented
254#13063305C2312yescomplemented
255#13063304C2314yes—
256#13063304C2312yes—
257#13063304C2312yes—
258#13063304C2314yes—
259#13063303C2318yescomplemented
260#13063303C2318yescomplemented
261#13063303C2318yescomplemented
262#13063303C2314yescomplemented
263#13063303C2314yescomplemented
264#13063302C2314yes—
265#13063302C2314yes—
266#13063301C2318yescomplemented
267#13063301C2312yescomplemented
268#13063301C2312yescomplemented
269#13063300C2314yes—
270#13063300C2314yes—
271#13063300C2314yes—
272#13063300C2314yes—
273#13063300C2318yes—
274#13063300C2318yes—
275#13063300C2314yes—
276#13063300C2314yes—
277#13063300C2318yes—
278#13063300C2314yes—
279#13063300C2314yes—
280#13063300C2318yes—
281#13063300C2314yescomplemented
282#13063300C2318yescomplemented
283#13063300C2314yescomplemented
284#13063300C2318yescomplemented
285#13063300C2318yescomplemented
286#13063300C2314yescomplemented
287#13063300C2318yescomplemented
288#13063300C2318yescomplemented
289#13063300C2318yescomplemented
290#13063300C2318yescomplemented
291#13063300C2312yescomplemented
292#13063300C2312yescomplemented
293#13063300C2318yescomplemented
294#13063300C2318yescomplemented
295#13063299C2312yes—
296#13063299C2314yes—
297#13063299C2312yes—
298#13063299C2314yes—
299#13063299C2314yescomplemented
300#13063299C2318yescomplemented
301#13063299C2314yescomplemented
302#13063299C2318yescomplemented
303#13063299C2318yescomplemented
304#13063298C2318yescomplemented
305#13063298C2318yescomplemented
306#13063298C2318yescomplemented
307#13063298C2318yescomplemented
308#13063298C2318yescomplemented
309#13063298C2314yescomplemented
310#13063298C2318yescomplemented
311#13063298C2314yescomplemented
312#13063298C2318yescomplemented
313#13063297C2314yes—
314#13063297C2314yes—
315#13063297C2318yescomplemented
316#13063296C2312yescomplemented
317#13063296C2312yescomplemented
318#13063295C2318yes—
319#13063295C2318yes—
320#13063295C2314yes—
321#13063295C2314yes—
322#13063295C2314yes—
323#13063295C2318yes—
324#13063295C2318yescomplemented
325#13063295C2318yescomplemented
326#13063295C2318yescomplemented
327#13063295C2318yescomplemented
328#13063295C2318yescomplemented
329#13063295C2318yescomplemented
330#13063295C2318yescomplemented
331#13063294C2314yes—
332#13063293C2318yes—
333#13063293C2318yes—
334#13063293C2314yes—
335#13063293C2314yes—
336#13063293C2314yes—
337#13063293C2318yes—
338#13063293C2318yescomplemented
339#13063290C2314yescomplemented
340C4×D172C2314yescomplemented
341C4×D172C2314yescomplemented
342C4×D172C2318yescomplemented
343C4×D172C2318yescomplemented
344C4×D172C2314yescomplemented
345C4×D172C2318yescomplemented
346C4×D172C2314yescomplemented
347D4×Dic43C2314yes—
348D4×Dic43C2314yes—
349#13063287C2318yescomplemented
350#13063287C2318yescomplemented
351#13063287C2314yescomplemented
352#13063287C2314yescomplemented
353#13063287C2314yescomplemented
354#13063287C2318yescomplemented
355#13063287C2314yescomplemented
356#13063287C2314yescomplemented
357C4×C22⋊D43C2318yes—
358C4×C22⋊D43C2314yes—
359C4×C22⋊D43C2314yes—
360C4×C22⋊D43C2318yes—
361C4×C22⋊D43C2314yescomplemented
362C4×C22⋊D43C2314yescomplemented
363C4×C22⋊D43C2318yescomplemented
364(C22⋊D43)⋊C4C2314yes—
365(C22⋊D43)⋊C4C2314yes—
366(C22⋊D43)⋊C4C2318yescomplemented
367(C22⋊D43)⋊C4C2314yescomplemented
368(C22⋊D43)⋊C4C2314yescomplemented
369#13063284C2314yes—
370#13063284C2312yes—
371#13063283C2318yescomplemented
372#13063283C2314yescomplemented
373#13063283C2312yescomplemented
374#13063283C2312yescomplemented
375#13063282C2318yescomplemented
376#13063282C2314yescomplemented
377#13063281C2314yes—
378C4⋊C4×D43C2312yescomplemented
379C4⋊C4×D43C2314yescomplemented
380C4⋊C4×D43C2312yescomplemented
381C4⋊C4×D43C2314yescomplemented
382C4⋊C4×D43C2314yescomplemented
383C2×(C2×D43)⋊C4C2318yes—
384C2×(C2×D43)⋊C4C2314yes—
385C2×(C2×D43)⋊C4C2314yes—
386C2×(C2×D43)⋊C4C2314yes—
387C2×(C2×D43)⋊C4C2314yes—
388C2×(C2×D43)⋊C4C2318yescomplemented
389C22⋊C4×D43C2318yes—
390C22⋊C4×D43C2318yes—
391C22⋊C4×D43C2314yes—
392C22⋊C4×D43C2314yes—
393C22⋊C4×D43C2314yes—
394C22⋊C4×D43C2318yes—
395C22⋊C4×D43C2314yescomplemented
396C22⋊C4×D43C2314yescomplemented
397C22⋊C4×D43C2318yescomplemented
398C42×D43C2314yescomplemented
399C2×#41×C43C2312yes—
400C2×#41×C43C2314yes—
401C23×C4×C43C2311yescharacteristic
402C23×C4×C43C2312yes—
403C4⋊Q8×C43C2314yescomplemented
404#126×C43C2318yescomplemented
405#125×C43C2318yescomplemented
406#125×C43C2314yescomplemented
407#123×C43C2318yes—
408#123×C43C2314yes—
409#123×C43C2318yescomplemented
410C22⋊Q8×C43C2314yes—
411C22⋊Q8×C43C2312yes—
412C22⋊Q8×C43C2312yes—
413C22⋊Q8×C43C2314yes—
414C22⋊Q8×C43C2314yescomplemented
415C22⋊Q8×C43C2318yescomplemented
416#121×C43C2314yes—
417#121×C43C2312yes—
418#121×C43C2312yes—
419#121×C43C2314yes—
420#121×C43C2314yescomplemented
421#120×C43C2314yes—
422C4×Q8×C43C2314yescomplemented
423C4×D4×C43C2318yes—
424C4×D4×C43C2314yes—
425C4×D4×C43C2314yes—
426C4×D4×C43C2318yes—
427C4×D4×C43C2314yescomplemented
428#117×C43C2314yes—
429#117×C43C2312yes—
430#117×C43C2314yescomplemented
431C2×C4⋊C4×C43C2311yescharacteristic
432C2×C4⋊C4×C43C2314yes—
433C2×C4⋊C4×C43C2311yescharacteristic
434C2×C4⋊C4×C43C2312yes—
435C2×C4⋊C4×C43C2314yes—
436C2×C4⋊C4×C43C2314yescomplemented
437C24×C43C2411yescharacteristic
438C23×D43—24no—
439C23×D43—42no—
440C23×D43—42no—
441C23×D43—44no—
442C23×D43—44no—
443C23×D43—44no—
444C23×D43C2412yes—
445C23×D43C2412yes—
446C23×D43C2414yes—
447C23×D43C2414yes—
448C23×D43C2414yes—
449C23×D43C2414yes—
450C23×D43C2411yescharacteristic
451C23×D43C2418yes—
452C23×D43C2411yescharacteristic
453#41×C43—28no—
454#41×C43—48no—
455C2×Q8×C43C2412yes—
456C2×Q8×C43C2414yes—
457C2×D4×C43C2414yes—
458C2×D4×C43C2414yes—
459C2×D4×C43C2414yes—
460C2×D4×C43C2412yes—
461C2×D4×C43C2414yes—
462C22×C4×C43—24no—
463C22×C4×C43—44no—
464C22×C4×C43C2414yes—
465C22×C4×C43C2412yes—
466C22×C4×C43C2412yes—
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2414yes—
469C22×C4×C43C2412yes—
470C22×C4×C43C2414yes—
471C22×C4×C43C2412yes—
472C22×C4×C43C2418yes—
473C22×C4×C43C2411yescharacteristic
474C2×C22⋊D43C2414yes—
475C2×C22⋊D43C2414yes—
476C2×C22⋊D43C2414yes—
477C2×C22⋊D43C2414yes—
478C2×C22⋊D43C2418yes—
479C2×C22⋊D43C2414yes—
480C2×C22⋊D43C2414yes—
481C2×C22⋊D43C2418yes—
482C2×C22⋊D43C2418yes—
483C2×C22⋊D43C2414yes—
484C22×Dic43—42no—
485C22×Dic43C2412yes—
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2412yes—
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2414yes—
490#10621902—416no—
491#10621902—44no—
492#10621902—48no—
493Q8×D43—44no—
494#10621900—44no—
495#10621900—48no—
496D4×D43—216no—
497D4×D43—416no—
498D4×D43—48no—
499D4×D43—416no—
500D4×D43—48no—
501D4×D43—416no—
502D4×D43—416no—
503D4×D43—44no—
504D4×D43—48no—
505#10621898—28no—
506#10621898—48no—
507#10621898—48no—
508#10621898—416no—
509#10621898—48no—
510C2×D172—28no—
511C2×D172—216no—
512C2×D172—48no—
513C2×D172—44no—
514C2×D172—48no—
515C2×D172—416no—
516C2×D172—48no—
517C2×D172—416no—
518C2×D172—48no—
519C2×D172—48no—
520C2×D172—48no—
521C2×D172C2418yes—
522C2×D172C2412yes—
523C2×D172C2414yes—
524C2×D172C2414yes—
525C2×D172C2418yes—
526C2×D172C2414yes—
527C2×D172C2418yes—
528C2×D172C2414yes—
529C2×D172C2414yes—
530C2×D172C2418yes—
531C2×D172C2418yes—
532C2×D172C2418yes—
533C2×D172C2414yes—
534C2×D172C2418yes—
535C2×D172C2418yes—
536C2×C4×D43—28no—
537C2×C4×D43—44no—
538C2×C4×D43—44no—
539C2×C4×D43—44no—
540C2×C4×D43—44no—
541C2×C4×D43—44no—
542C2×C4×D43—48no—
543C2×C4×D43C2412yes—
544C2×C4×D43C2414yes—
545C2×C4×D43C2412yes—
546C2×C4×D43C2414yes—
547C2×C4×D43C2412yes—
548C2×C4×D43C2412yes—
549C2×C4×D43C2414yes—
550C2×C4×D43C2414yes—
551C2×C4×D43C2418yes—
552C2×C4×D43C2418yes—
553C2×C4×D43C2418yes—
554C2×C4×D43C2412yes—
555C2×C4×D43C2412yes—
556C2×C4×D43C2414yes—
557C2×C4×D43C2418yes—
558C2×C4×D43C2412yes—
559C2×C4×D43C2412yes—
560C2×Dic86C2412yes—
561C2×Dic86C2414yes—
562C2×Dic86C2414yes—
563C4⋊C4×C43C2414yes—
564C4⋊C4×C43C2414yes—
565C4⋊C4×C43C2418yes—
566C4⋊C4×C43C2412yes—
567C4⋊C4×C43C2418yes—
568C4⋊C4×C43C2412yes—
569C4⋊C4×C43C2414yes—
570C4⋊C4×C43C2414yes—
571C4⋊C4×C43C2414yes—
572C4⋊C4×C43C2418yes—
573C4⋊C4×C43C2414yes—
574C22⋊C4×C43C2414yes—
575C22⋊C4×C43C2414yes—
576C22⋊C4×C43C2418yes—
577C22⋊C4×C43C2414yes—
578C22⋊C4×C43C2418yes—
579C22⋊C4×C43C2414yes—
580C22⋊C4×C43C2414yes—
581C42×C43C2418yes—
582C42×C43C2414yes—
583C22⋊Dic43C2414yes—
584C22⋊Dic43C2414yes—
585C22⋊Dic43C2414yes—
586C22⋊Dic43C2414yes—
587C22⋊Dic43C2414yes—
588(C2×D43)⋊C4C2418yes—
589(C2×D43)⋊C4C2418yes—
590(C2×D43)⋊C4C2414yes—
591(C2×D43)⋊C4C2414yes—
592(C2×D43)⋊C4C2414yes—
593(C2×D43)⋊C4C2414yes—
594(C2×D43)⋊C4C2414yes—
595(C2×D43)⋊C4C2414yes—
596(C2×D43)⋊C4C2418yes—
597(C2×D43)⋊C4C2418yes—
598(C2×D43)⋊C4C2418yes—
599(C2×D43)⋊C4C2418yes—
600(C2×D43)⋊C4C2418yes—
601(C2×D43)⋊C4C2414yes—
602(C2×D43)⋊C4C2414yes—
603(C2×D43)⋊C4C2414yes—
604(C2×D43)⋊C4C2414yes—
605(C2×D43)⋊C4C2418yes—
606(C2×D43)⋊C4C2418yes—
607(C2×D43)⋊C4C2418yes—
608(C2×D43)⋊C4C2418yes—
609(C2×D43)⋊C4C2418yes—
610C4⋊Dic43C2412yes—
611C4⋊Dic43C2412yes—
612C4⋊Dic43C2414yes—
613C4⋊Dic43C2414yes—
614C4⋊Dic43C2414yes—
615C4⋊Dic43C2414yes—
616Dic43⋊C4C2414yes—
617Dic43⋊C4C2414yes—
618Dic43⋊C4C2414yes—
619Dic43⋊C4C2414yes—
620Dic43⋊C4C2414yes—
621Dic43⋊C4C2414yes—
622Dic43⋊C4C2418yes—
623Dic43⋊C4C2418yes—
624C4×Dic43C2414yes—
625C4×Dic43C2414yes—
626C4×Dic43C2414yes—
627C4×Dic43C2418yes—
628C23×C43—22no—
629C23×C43—22no—
630C23×C43—22no—
631C23×C43C2514yes—
632C23×C43C2511yescharacteristic
633C23×C43C2511yescharacteristic
634C23×C43C2511yescharacteristic
635C22×D43—24no—
636C22×D43—22no—
637C22×D43—24no—
638C22×D43—28no—
639C22×D43—28no—
640C22×D43—28no—
641C22×D43—24no—
642C22×D43—24no—
643C22×D43—28no—
644C22×D43—41no—
645C22×D43—42no—
646C22×D43—41no—
647C22×D43—41no—
648C22×D43—42no—
649C22×D43—41no—
650C22×D43—44no—
651C22×D43—44no—
652C22×D43—44no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—48no—
659C22×D43—48no—
660C22×D43—48no—
661C22×D43—416no—
662C22×D43—816no—
663C22×D43H(5,𝔽2)14yescomplemented
664C22×D43C2518yes—
665C22×D43C2512yes—
666C22×D43C2514yes—
667C22×D43C2512yes—
668Q8×C43—24no—
669Q8×C43—44no—
670D4×C43—28no—
671D4×C43—28no—
672D4×C43—28no—
673D4×C43—24no—
674D4×C43—44no—
675C2×C4×C43—22no—
676C2×C4×C43—28no—
677C2×C4×C43—24no—
678C2×C4×C43—24no—
679C2×C4×C43—28no—
680C2×C4×C43—42no—
681C2×C4×C43—44no—
682C2×C4×C43—42no—
683C2×C4×C43—48no—
684C2×C4×C43H(5,𝔽2)14yescomplemented
685C2×C4×C43C2514yes—
686C2×C4×C43C2514yes—
687C2×C4×C43C2514yes—
688C2×C4×C43C2512yes—
689C2×C4×C43C2514yes—
690C2×C4×C43C2514yes—
691C2×C4×C43C2512yes—
692C22⋊D43—28no—
693C22⋊D43—28no—
694C22⋊D43—28no—
695C22⋊D43—28no—
696C22⋊D43—48no—
697C22⋊D43—48no—
698C22⋊D43—44no—
699C22⋊D43—44no—
700C22⋊D43—48no—
701C22⋊D43—44no—
702C2×Dic43—24no—
703C2×Dic43—41no—
704C2×Dic43—42no—
705C2×Dic43—41no—
706C2×Dic43—44no—
707C2×Dic43C2514yes—
708C2×Dic43C2512yes—
709C2×Dic43C2514yes—
710C2×Dic43C2514yes—
711C2×Dic43C2512yes—
712D172—216no—
713D172—216no—
714D172—28no—
715D172—28no—
716D172—28no—
717D172—24no—
718D172—48no—
719D172—48no—
720D172—48no—
721D172—44no—
722D172—48no—
723D172—48no—
724D172—44no—
725D172—48no—
726D172—44no—
727C4×D43—28no—
728C4×D43—24no—
729C4×D43—24no—
730C4×D43—24no—
731C4×D43—24no—
732C4×D43—28no—
733C4×D43—42no—
734C4×D43—42no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—44no—
738C4×D43—44no—
739C4×D43—48no—
740C4×D43—48no—
741C4×D43—48no—
742C4×D43—44no—
743C4×D43—48no—
744Dic86—24no—
745Dic86—44no—
746Dic86—44no—
747#62818—431nomaximal, Sylow
748C22×C43—28no—
749C22×C43—21no—
750C22×C43—21no—
751C22×C43—21no—
752C22×C43—21no—
753C22×C43—21no—
754C22×C43—21no—
755C22×C43—24no—
756C22×C43—24no—
757C22×C43—24no—
758C22×C43C2×H(5,𝔽2)12yes—
759C22×C43C2×H(5,𝔽2)12yes—
760C22×C43#58512yes—
761C22×C43C2611yescharacteristic
762C2×D43—22no—
763C2×D43—22no—
764C2×D43—22no—
765C2×D43—28no—
766C2×D43—28no—
767C2×D43—22no—
768C2×D43—24no—
769C2×D43—24no—
770C2×D43—28no—
771C2×D43—22no—
772C2×D43—24no—
773C2×D43—44no—
774C2×D43—48no—
775C2×D43—48no—
776C2×D43—44no—
777C2×D43—88no—
778C2×D43—88no—
779C2×D43—88no—
780C2×D43—88no—
781C2×D43—168no—
782C2×D43C2×H(5,𝔽2)14yes—
783C4×C43—24no—
784C4×C43—24no—
785C4×C43—24no—
786C4×C43—22no—
787C4×C43—24no—
788C4×C43—24no—
789C4×C43C2×H(5,𝔽2)14yes—
790Dic43—24no—
791Dic43—22no—
792Dic43—24no—
793Dic43—22no—
794Dic43—24no—
795#3542—434no—
796#3542—434no—
797#3537—434no—
798#3536—434no—
799#3534—438no—
800#3519—434no—
801#3519—434no—
802#3505—434no—
803#3496—434no—
804#3494—432no—
805#3494—432no—
806#3492—431no—
807#3492D4311yescharacteristic, complemented
808#3490—434no—
809#3488—432no—
810#3488—432no—
811#3484—432no—
812#3484—434no—
813C2×#525—432no—
814C22×#121—431no—
815C2×C43—22no—
816C2×C43—22no—
817C2×C43—22no—
818C2×C43—44no—
819C2×C43C22×H(5,𝔽2)11yescharacteristic
820C2×C43C22×H(5,𝔽2)11yescharacteristic
821C2×C43C2×#58511yescharacteristic
822D43—24no—
823D43—42no—
824D43—48no—
825D43—44no—
826C2×H(5,𝔽2)—432no—
827C2×H(5,𝔽2)—434no—
828C22×#41—432no—
829C23×D4—431no—
830C23×D4—432no—
831C24×C4—431no—
832#562—438no—
833#562—438no—
834#560—438no—
835#560—438no—
836#555—434no—
837#555—434no—
838#554—434no—
839#554C2×D4314yescomplemented
840#553—438no—
841#553—434no—
842#553—434no—
843#553—438no—
844#553—434no—
845#553—434no—
846#553—434no—
847#553C2×D4314yescomplemented
848#552—434no—
849#552C2×D4314yescomplemented
850#551—438no—
851#551—438no—
852#551—438no—
853#551—438no—
854#550—434no—
855#550—434no—
856#548—434no—
857#548—434no—
858#547—434no—
859#547—434no—
860#547—434no—
861#547C2×D4314yescomplemented
862#546—438no—
863#546—438no—
864#546—438no—
865#546—438no—
866#546—434no—
867#546—438no—
868#546—434no—
869#546—434no—
870#546—438no—
871#546—438no—
872#546—438no—
873#546—434no—
874#546—438no—
875#546—434no—
876#546—438no—
877#546—434no—
878D42—438no—
879D42—434no—
880D42—434no—
881D42—438no—
882D42—434no—
883D42—438no—
884D42—434no—
885D42—438no—
886D42—434no—
887D42—434no—
888#544—431no—
889#544C2×D4311yescharacteristic, complemented
890#543—434no—
891#542—434no—
892#542—434no—
893#540—434no—
894#540—438no—
895#540—438no—
896#540—434no—
897#539—438no—
898#539—434no—
899#539C2×D4314yescomplemented
900#538—438no—
901#538—438no—
902#538—434no—
903#538—438no—
904#538—434no—
905#538—438no—
906#537—434no—
907#537—438no—
908#537—431no—
909#537—434no—
910#537C2×D4311yescharacteristic, complemented
911#535—432no—
912#535—434no—
913#535—434no—
914#535—432no—
915#535—434no—
916#535—434no—
917#534—438no—
918#534—438no—
919#534—438no—
920#534—438no—
921#534—434no—
922#532—434no—
923#532—434no—
924#529—434no—
925#529—434no—
926#525—432no—
927#525—432no—
928#525—434no—
929#525—434no—
930#525—432no—
931#525—432no—
932#525—434no—
933#525—432no—
934#525—432no—
935#525—434no—
936#525—434no—
937#525—434no—
938#525—432no—
939#525—434no—
940#525C2×D4312yescomplemented
941#525C2×D4314yescomplemented
942C2×#123—434no—
943C2×C22⋊Q8—432no—
944C2×C22⋊Q8—432no—
945C2×#121—432no—
946C2×#121—432no—
947C2×#121—434no—
948C2×#121—432no—
949C2×#121—432no—
950C2×#121—434no—
951C2×#121—434no—
952C2×#121—434no—
953C2×#121—434no—
954C2×#121—434no—
955C2×#121—434no—
956C2×#120—434no—
957C2×#120—438no—
958#520—432no—
959#520C2×D4312yescomplemented
960#518—438no—
961#518—432no—
962#518—434no—
963C2×C4×D4—434no—
964C2×C4×D4—434no—
965C2×#117—432no—
966C22×C4⋊C4C2×D4311yescharacteristic, complemented
967C22×C22⋊C4—432no—
968C43#6281811yescharacteristic, complemented, Sylow
969C25—431no—
970C25—432no—
971H(5,𝔽2)—17216no—
972H(5,𝔽2)—1728no—
973C2×#41—432no—
974C2×#41—434no—
975C2×#41—438no—
976C2×#41—434no—
977C2×#41—432no—
978C2×#41—432no—
979C2×#41—434no—
980C2×#41—434no—
981C2×#41—434no—
982C2×#41—438no—
983C2×#41—1728no—
984C2×#41C22×D4312yes—
985C2×#41C22×D4314yes—
986C22×Q8—432no—
987C22×D4—434no—
988C22×D4—434no—
989C22×D4—438no—
990C22×D4—434no—
991C22×D4—438no—
992C22×D4—438no—
993C22×D4—432no—
994C22×D4—438no—
995C22×D4—434no—
996C22×D4—434no—
997C22×D4—432no—
998C22×D4—432no—
999C22×D4—434no—
1000C22×D4—434no—
1001C22×D4—434no—
1002C22×D4—434no—
1003C22×D4—438no—
1004C22×D4—434no—
1005C22×D4—438no—
1006C22×D4—434no—
1007C22×D4—1724no—
1008C22×D4—1728no—
1009C23×C4—431no—
1010C23×C4—432no—
1011C23×C4—432no—
1012C23×C4—432no—
1013C23×C4—434no—
1014C23×C4—432no—
1015C23×C4—432no—
1016C23×C4—432no—
1017C23×C4—1724no—
1018C23×C4C22×D4311yescharacteristic
1019C23×C4C22×D4312yes—
1020C4⋊Q8—434no—
1021C4⋊Q8C22×D4314yescomplemented
1022#127—434no—
1023#127—438no—
1024#127—434no—
1025#127—438no—
1026#126—438no—
1027#126—438no—
1028#126—438no—
1029#126—438no—
1030#126—438no—
1031#126C22×D4318yescomplemented
1032#125—434no—
1033#125—438no—
1034#125C22×D4314yescomplemented
1035#125C22×D4318yescomplemented
1036#124—434no—
1037#124—438no—
1038#124—438no—
1039#124—438no—
1040#124—438no—
1041#124—434no—
1042#124—438no—
1043#124—438no—
1044#123—434no—
1045#123—434no—
1046#123—438no—
1047#123—438no—
1048#123—434no—
1049#123—434no—
1050#123—438no—
1051#123—438no—
1052#123—438no—
1053#123—438no—
1054#123—438no—
1055#123—438no—
1056#123—438no—
1057#123—438no—
1058#123—438no—
1059#123—438no—
1060#123—434no—
1061#123—434no—
1062#123—434no—
1063#123—438no—
1064#123—438no—
1065#123C22×D4314yes—
1066#123C22×D4318yes—
1067#123C22×D4318yescomplemented
1068C22⋊Q8—432no—
1069C22⋊Q8—432no—
1070C22⋊Q8—438no—
1071C22⋊Q8—432no—
1072C22⋊Q8—432no—
1073C22⋊Q8—434no—
1074C22⋊Q8—434no—
1075C22⋊Q8—432no—
1076C22⋊Q8—432no—
1077C22⋊Q8—434no—
1078C22⋊Q8—434no—
1079C22⋊Q8—434no—
1080C22⋊Q8—438no—
1081C22⋊Q8—438no—
1082C22⋊Q8—438no—
1083C22⋊Q8—438no—
1084C22⋊Q8—434no—
1085C22⋊Q8—434no—
1086C22⋊Q8C22×D4312yes—
1087C22⋊Q8C22×D4312yes—
1088C22⋊Q8C22×D4314yes—
1089C22⋊Q8C22×D4314yes—
1090C22⋊Q8C22×D4314yescomplemented
1091C22⋊Q8C22×D4318yescomplemented
1092#121—432no—
1093#121—434no—
1094#121—432no—
1095#121—434no—
1096#121—438no—
1097#121—432no—
1098#121—432no—
1099#121—434no—
1100#121—434no—
1101#121—434no—
1102#121—434no—
1103#121—438no—
1104#121—438no—
1105#121—438no—
1106#121—434no—
1107#121—434no—
1108#121—432no—
1109#121—438no—
1110#121—434no—
1111#121—434no—
1112#121—438no—
1113#121—434no—
1114#121—434no—
1115#121—438no—
1116#121—434no—
1117#121—434no—
1118#121—438no—
1119#121—432no—
1120#121—438no—
1121#121—434no—
1122#121—434no—
1123#121—438no—
1124#121—434no—
1125#121—438no—
1126#121—438no—
1127#121—438no—
1128#121—438no—
1129#121—438no—
1130#121—438no—
1131#121—438no—
1132#121—434no—
1133#121—434no—
1134#121—438no—
1135#121—438no—
1136#121—438no—
1137#121—438no—
1138#121—438no—
1139#121—438no—
1140#121—438no—
1141#121C22×D4312yes—
1142#121C22×D4312yes—
1143#121C22×D4314yes—
1144#121C22×D4314yes—
1145#121C22×D4314yescomplemented
1146#120—434no—
1147#120—434no—
1148#120—434no—
1149#120—434no—
1150#120—438no—
1151#120—438no—
1152#120—438no—
1153#120—438no—
1154#120—434no—
1155#120—434no—
1156#120—434no—
1157#120—438no—
1158#120—438no—
1159#120—438no—
1160#120—438no—
1161#120—438no—
1162#120—438no—
1163#120—438no—
1164#120—438no—
1165#120—438no—
1166#120—438no—
1167#120C22×D4314yes—
1168C4×Q8—434no—
1169C4×Q8C22×D4314yescomplemented
1170C4×D4—434no—
1171C4×D4—434no—
1172C4×D4—434no—
1173C4×D4—434no—
1174C4×D4—434no—
1175C4×D4—434no—
1176C4×D4—438no—
1177C4×D4—438no—
1178C4×D4—438no—
1179C4×D4—434no—
1180C4×D4—434no—
1181C4×D4—438no—
1182C4×D4—438no—
1183C4×D4—434no—
1184C4×D4—438no—
1185C4×D4—434no—
1186C4×D4—434no—
1187C4×D4—434no—
1188C4×D4—434no—
1189C4×D4—434no—
1190C4×D4—434no—
1191C4×D4—438no—
1192C4×D4—434no—
1193C4×D4—434no—
1194C4×D4—438no—
1195C4×D4—438no—
1196C4×D4—438no—
1197C4×D4—434no—
1198C4×D4—434no—
1199C4×D4C22×D4314yes—
1200C4×D4C22×D4314yes—
1201C4×D4C22×D4318yes—
1202C4×D4C22×D4318yes—
1203C4×D4C22×D4314yescomplemented
1204#117—432no—
1205#117—434no—
1206#117—432no—
1207#117—432no—
1208#117—438no—
1209#117—434no—
1210#117—434no—
1211#117—434no—
1212#117—438no—
1213#117C22×D4312yes—
1214#117C22×D4314yes—
1215#117C22×D4314yescomplemented
1216C2×C4⋊C4—432no—
1217C2×C4⋊C4—432no—
1218C2×C4⋊C4—434no—
1219C2×C4⋊C4—434no—
1220C2×C4⋊C4—434no—
1221C2×C4⋊C4C22×D4311yescharacteristic
1222C2×C4⋊C4C22×D4311yescharacteristic
1223C2×C4⋊C4C22×D4312yes—
1224C2×C4⋊C4C22×D4314yes—
1225C2×C4⋊C4C22×D4314yes—
1226C2×C4⋊C4C22×D4314yescomplemented
1227C2×C22⋊C4—434no—
1228C2×C22⋊C4—434no—
1229C2×C22⋊C4—434no—
1230C2×C22⋊C4—434no—
1231C2×C22⋊C4—438no—
1232C2×C22⋊C4—438no—
1233C2×C22⋊C4—434no—
1234C2×C22⋊C4—434no—
1235C2×C22⋊C4—434no—
1236C2×C22⋊C4—434no—
1237C2×C22⋊C4—434no—
1238C2×C22⋊C4—438no—
1239C2×C22⋊C4—438no—
1240C2×C22⋊C4—438no—
1241C2×C22⋊C4—438no—
1242C2×C42—434no—
1243C24—431no—
1244C24—432no—
1245C24—432no—
1246C24—434no—
1247C24—434no—
1248C24—434no—
1249C24—434no—
1250C24—431no—
1251C24—438no—
1252C24—864no—
1253C24—1724no—
1254C24—1724no—
1255C24—1724no—
1256C24—1722no—
1257C24—1722no—
1258C24C23×D4311yescharacteristic
1259#41—28no—
1260#41—48no—
1261#41—868no—
1262#41—1728no—
1263#41—1728no—
1264#41—1728no—
1265#41—17216no—
1266#41—1728no—
1267#41—1724no—
1268#41—17216no—
1269#41—1724no—
1270#41—1728no—
1271C2×Q8—432no—
1272C2×Q8—434no—
1273C2×Q8—434no—
1274C2×Q8—1724no—
1275C2×Q8C23×D4312yes—
1276C2×Q8C23×D4314yes—
1277C2×D4—434no—
1278C2×D4—434no—
1279C2×D4—434no—
1280C2×D4—434no—
1281C2×D4—438no—
1282C2×D4—434no—
1283C2×D4—434no—
1284C2×D4—434no—
1285C2×D4—438no—
1286C2×D4—438no—
1287C2×D4—434no—
1288C2×D4—438no—
1289C2×D4—438no—
1290C2×D4—434no—
1291C2×D4—434no—
1292C2×D4—432no—
1293C2×D4—438no—
1294C2×D4—434no—
1295C2×D4—434no—
1296C2×D4—438no—
1297C2×D4—438no—
1298C2×D4—438no—
1299C2×D4—434no—
1300C2×D4—438no—
1301C2×D4—438no—
1302C2×D4—8616no—
1303C2×D4—8616no—
1304C2×D4—868no—
1305C2×D4—1728no—
1306C2×D4—1728no—
1307C2×D4—1728no—
1308C2×D4—1728no—
1309C2×D4—1724no—
1310C2×D4—1728no—
1311C2×D4—17216no—
1312C2×D4—1728no—
1313C2×D4—17216no—
1314C2×D4—1724no—
1315C2×D4—1728no—
1316C2×D4—1728no—
1317C2×D4—17216no—
1318C2×D4—17216no—
1319C2×D4—17216no—
1320C2×D4—1728no—
1321C2×D4—17216no—
1322C2×D4C23×D4314yes—
1323C2×D4C23×D4314yes—
1324C2×D4C23×D4314yes—
1325C2×D4C23×D4312yes—
1326C2×D4C23×D4314yes—
1327C22×C4—24no—
1328C22×C4—44no—
1329C22×C4—432no—
1330C22×C4—431no—
1331C22×C4—432no—
1332C22×C4—431no—
1333C22×C4—434no—
1334C22×C4—432no—
1335C22×C4—434no—
1336C22×C4—432no—
1337C22×C4—434no—
1338C22×C4—432no—
1339C22×C4—432no—
1340C22×C4—434no—
1341C22×C4—432no—
1342C22×C4—434no—
1343C22×C4—432no—
1344C22×C4—438no—
1345C22×C4—434no—
1346C22×C4—438no—
1347C22×C4—438no—
1348C22×C4—438no—
1349C22×C4—432no—
1350C22×C4—432no—
1351C22×C4—868no—
1352C22×C4—1724no—
1353C22×C4—1724no—
1354C22×C4—1724no—
1355C22×C4—1724no—
1356C22×C4—1728no—
1357C22×C4—1724no—
1358C22×C4—1722no—
1359C22×C4C23×D4314yes—
1360C22×C4C23×D4312yes—
1361C22×C4C23×D4312yes—
1362C22×C4C23×D4311yescharacteristic
1363C22×C4C23×D4314yes—
1364C22×C4C23×D4312yes—
1365C22×C4C23×D4314yes—
1366C22×C4C23×D4312yes—
1367C22×C4C23×D4318yes—
1368C22×C4C23×D4311yescharacteristic
1369C4⋊C4—432no—
1370C4⋊C4—432no—
1371C4⋊C4—434no—
1372C4⋊C4—434no—
1373C4⋊C4—434no—
1374C4⋊C4—434no—
1375C4⋊C4—434no—
1376C4⋊C4—434no—
1377C4⋊C4—434no—
1378C4⋊C4—434no—
1379C4⋊C4—438no—
1380C4⋊C4—434no—
1381C4⋊C4—434no—
1382C4⋊C4—438no—
1383C4⋊C4C23×D4314yes—
1384C4⋊C4C23×D4312yes—
1385C4⋊C4C23×D4312yes—
1386C4⋊C4C23×D4314yes—
1387C4⋊C4C23×D4314yes—
1388C4⋊C4C23×D4314yes—
1389C4⋊C4C23×D4318yes—
1390C4⋊C4C23×D4318yes—
1391C4⋊C4C23×D4318yes—
1392C4⋊C4C23×D4314yes—
1393C4⋊C4C23×D4314yes—
1394C22⋊C4—434no—
1395C22⋊C4—434no—
1396C22⋊C4—434no—
1397C22⋊C4—434no—
1398C22⋊C4—434no—
1399C22⋊C4—438no—
1400C22⋊C4—438no—
1401C22⋊C4—434no—
1402C22⋊C4—438no—
1403C22⋊C4—438no—
1404C22⋊C4—438no—
1405C22⋊C4—438no—
1406C22⋊C4—434no—
1407C22⋊C4—434no—
1408C22⋊C4—434no—
1409C22⋊C4—434no—
1410C22⋊C4—438no—
1411C22⋊C4—438no—
1412C22⋊C4—438no—
1413C22⋊C4—438no—
1414C22⋊C4—438no—
1415C22⋊C4—434no—
1416C22⋊C4—434no—
1417C22⋊C4—434no—
1418C22⋊C4—434no—
1419C22⋊C4—434no—
1420C22⋊C4—438no—
1421C22⋊C4C23×D4314yes—
1422C22⋊C4C23×D4314yes—
1423C22⋊C4C23×D4314yes—
1424C22⋊C4C23×D4318yes—
1425C22⋊C4C23×D4314yes—
1426C22⋊C4C23×D4314yes—
1427C22⋊C4C23×D4318yes—
1428C42—434no—
1429C42—434no—
1430C42—434no—
1431C42—438no—
1432C42C23×D4314yes—
1433C42C23×D4318yes—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—432no—
1438C23—434no—
1439C23—438no—
1440C23—434no—
1441C23—432no—
1442C23—868no—
1443C23—864no—
1444C23—864no—
1445C23—868no—
1446C23—868no—
1447C23—868no—
1448C23—862no—
1449C23—864no—
1450C23—864no—
1451C23—34416no—
1452C23—1724no—
1453C23—1724no—
1454C23—1724no—
1455C23—1724no—
1456C23—1724no—
1457C23—1724no—
1458C23—1724no—
1459C23—1724no—
1460C23—1721no—
1461C23—1722no—
1462C23—1721no—
1463C23—1721no—
1464C23—1722no—
1465C23—1721no—
1466C23—1728no—
1467C23—1728no—
1468C23—1728no—
1469C23—17216no—
1470C23C24×D4314yes—
1471C23C24×D4311yescharacteristic
1472C23C24×D4311yescharacteristic
1473C23C24×D4311yescharacteristic
1474Q8—24no—
1475Q8—44no—
1476Q8—864no—
1477Q8—1724no—
1478Q8—1724no—
1479D4—28no—
1480D4—28no—
1481D4—28no—
1482D4—24no—
1483D4—44no—
1484D4—8616no—
1485D4—8616no—
1486D4—868no—
1487D4—868no—
1488D4—868no—
1489D4—868no—
1490D4—868no—
1491D4—868no—
1492D4—868no—
1493D4—864no—
1494D4—1728no—
1495D4—1728no—
1496D4—1728no—
1497D4—1724no—
1498D4—1728no—
1499D4—1728no—
1500D4—1724no—
1501D4—1728no—
1502D4—1724no—
1503D4—1728no—
1504D4—1728no—
1505D4—1724no—
1506D4—1724no—
1507D4—1728no—
1508D4—1724no—
1509C2×C4—28no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—28no—
1514C2×C4—42no—
1515C2×C4—44no—
1516C2×C4—42no—
1517C2×C4—48no—
1518C2×C4—434no—
1519C2×C4—432no—
1520C2×C4—434no—
1521C2×C4—434no—
1522C2×C4—432no—
1523C2×C4—868no—
1524C2×C4—864no—
1525C2×C4—864no—
1526C2×C4—864no—
1527C2×C4—864no—
1528C2×C4—864no—
1529C2×C4—868no—
1530C2×C4—1722no—
1531C2×C4—1722no—
1532C2×C4—1722no—
1533C2×C4—1722no—
1534C2×C4—1724no—
1535C2×C4—1724no—
1536C2×C4—1728no—
1537C2×C4—1728no—
1538C2×C4—1728no—
1539C2×C4—1724no—
1540C2×C4—1728no—
1541C2×C4—1721no—
1542C2×C4—1722no—
1543C2×C4—1721no—
1544C2×C4—1724no—
1545C2×C4#1306337114yescomplemented
1546C2×C4C24×D4314yes—
1547C2×C4C24×D4314yes—
1548C2×C4C24×D4314yes—
1549C2×C4C24×D4314yes—
1550C2×C4C24×D4314yes—
1551C2×C4C24×D4312yes—
1552C2×C4C24×D4312yes—
1553C22—28no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—434no—
1564C22—862no—
1565C22—862no—
1566C22—864no—
1567C22—868no—
1568C22—862no—
1569C22—862no—
1570C22—864no—
1571C22—868no—
1572C22—868no—
1573C22—864no—
1574C22—862no—
1575C22—3448no—
1576C22—3448no—
1577C22—3448no—
1578C22—3448no—
1579C22—1724no—
1580C22—1728no—
1581C22—1728no—
1582C22—1724no—
1583C22—6888no—
1584C22H(5,𝔽2)×D4312yes—
1585C22C2×#1306337112yes—
1586C22#1458373612yes—
1587C22C25×D4311yescharacteristic
1588C4—24no—
1589C4—24no—
1590C4—24no—
1591C4—22no—
1592C4—24no—
1593C4—24no—
1594C4—864no—
1595C4—862no—
1596C4—862no—
1597C4—864no—
1598C4—864no—
1599C4C2×#1306337114yes—
1600C2—22no—
1601C2—22no—
1602C2—22no—
1603C2—44no—
1604C2—864no—
1605C2—1728no—
1606C2—1724no—
1607C2—1722no—
1608C2C2×H(5,𝔽2)×D4311yescharacteristic
1609C2C22×#1306337111yescharacteristic
1610C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3492C2
hypercenter#3492D43
hypocenterC43#62818
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #19148912C2semidirect
2. #19148905C2semidirect
3. #19148831C2semidirect
4. #19148823C2semidirect
5. #19148783C2semidirect
6. #19148628C2semidirect
7. #19148620C2semidirect
8. #19148435C2semidirect
9. #19148353C2semidirect
10. #19148333C2semidirect
11. #19148331C2semidirect
12. #19148304C2semidirect
13. #19148278C2semidirect
14. #19148265C2semidirect
15. #19148259C2semidirect
16. #19148228C2semidirect
17. #19148228C2semidirect
18. #525×D43C2semidirect
19. C22×#13063300C2semidirect
20. C43×#3492C2semidirect
21. C2×#13063371C22semidirect
22. C2×#13063371C22semidirect
23. C2×#41×D43C22semidirect
24. C23×D172C22semidirect
25. C23×D172C22semidirect
26. C23×C4×D43C22semidirect
27. #14583647C22semidirect
28. #14583645C22semidirect
29. #14583640C22semidirect
30. #14583639C22semidirect
31. #14583615C22semidirect
32. #14583612C22semidirect
33. #14583604C22semidirect
34. #14583602C22semidirect
35. #14583602C22semidirect
36. #14583602C22semidirect
37. #14583600C22semidirect
38. #14583597C22semidirect
39. #14583597C22semidirect
40. #14583593C22semidirect
41. #14583584C22semidirect
42. #14583578C22semidirect
43. #14583576C22semidirect
44. #14583573C22semidirect
45. #14583572C22semidirect
46. #14583571C22semidirect
47. #14583567C22semidirect
48. #14583561C22semidirect
49. #14583559C22semidirect
50. #14583552C22semidirect
51. #14583550C22semidirect
52. #14583550C22semidirect
53. #14583545C22semidirect
54. #14583545C22semidirect
55. #14583545C22semidirect
56. #14583545C22semidirect
57. #14583544C22semidirect
58. #14583544C22semidirect
59. #14583541C22semidirect
60. #14583541C22semidirect
61. #14583540C22semidirect
62. #14583540C22semidirect
63. #14583540C22semidirect
64. #14583540C22semidirect
65. #14583540C22semidirect
66. #14583540C22semidirect
67. #14583538C22semidirect
68. #14583537C22semidirect
69. D4×D172C22semidirect
70. D4×D172C22semidirect
71. D4×D172C22semidirect
72. D4×D172C22semidirect
73. D4×D172C22semidirect
74. #14583533C22semidirect
75. #14583533C22semidirect
76. #14583533C22semidirect
77. #14583533C22semidirect
78. #14583533C22semidirect
79. #14583530C22semidirect
80. #14583524C22semidirect
81. #14583523C22semidirect
82. #14583521C22semidirect
83. #14583505C22semidirect
84. #14583505C22semidirect
85. #14583501C22semidirect
86. #14583500C22semidirect
87. #14583497C22semidirect
88. #14583496C22semidirect
89. #14583489C22semidirect
90. #14583489C22semidirect
91. #14583488C22semidirect
92. #14583488C22semidirect
93. #14583486C22semidirect
94. #14583482C22semidirect
95. #14583480C22semidirect
96. #14583480C22semidirect
97. #14583479C22semidirect
98. #14583479C22semidirect
99. #14583468C22semidirect
100. #14583468C22semidirect
101. #14583468C22semidirect
102. #14583465C22semidirect
103. #14583463C22semidirect
104. #14583463C22semidirect
105. #14583460C22semidirect
106. #14583460C22semidirect
107. #14583460C22semidirect
108. #14583460C22semidirect
109. #14583457C22semidirect
110. #14583450C22semidirect
111. #14583446C22semidirect
112. #14583436C22semidirect
113. #14583434C22semidirect
114. #14583412C22semidirect
115. #14583412C22semidirect
116. #14583412C22semidirect
117. #14583411C22semidirect
118. #14583411C22semidirect
119. #14583410C22semidirect
120. #14583410C22semidirect
121. #14583409C22semidirect
122. #14583409C22semidirect
123. #14583408C22semidirect
124. #14583408C22semidirect
125. #14583407C22semidirect
126. #14583406C22semidirect
127. #14583405C22semidirect
128. #123×D43C22semidirect
129. C22⋊Q8×D43C22semidirect
130. C22⋊Q8×D43C22semidirect
131. C2×#13063300C22semidirect
132. C2×#13063300C22semidirect
133. C2×#13063300C22semidirect
134. C2×#13063300C22semidirect
135. C2×#13063300C22semidirect
136. C2×#13063300C22semidirect
137. C2×#13063300C22semidirect
138. C2×#13063300C22semidirect
139. #121×D43C22semidirect
140. #121×D43C22semidirect
141. #121×D43C22semidirect
142. #120×D43C22semidirect
143. #120×D43C22semidirect
144. #14583380C22semidirect
145. #14583373C22semidirect
146. #14583373C22semidirect
147. #14583371C22semidirect
148. C4×D4×D43C22semidirect
149. C4×D4×D43C22semidirect
150. #117×D43C22semidirect
151. C22×(C2×D43)⋊C4C22semidirect
152. C43×#554C22semidirect
153. C43×#553C22semidirect
154. C43×#552C22semidirect
155. C43×#547C22semidirect
156. C43×#544C22semidirect
157. C43×#539C22semidirect
158. C43×#537C22semidirect
159. C43×#525C22semidirect
160. C43×#525C22semidirect
161. C43×#520C22semidirect
162. C22×C4⋊C4×C43C22semidirect
167. C2×#10621902C23semidirect
168. C2×#10621902C23semidirect
169. C2×#10621902C23semidirect
172. C2×#10621898C23semidirect
173. C2×#10621898C23semidirect
174. C2×#10621898C23semidirect
176. C2×#10621900C23semidirect
178. C2×Q8×D43C23semidirect
190. C22×D172C23semidirect
191. C22×D172C23semidirect
198. C2×D4×D43C23semidirect
199. C2×D4×D43C23semidirect
200. C2×D4×D43C23semidirect
209. C22×C4×D43C23semidirect
210. #13063324C23semidirect
211. #13063322C23semidirect
212. #13063322C23semidirect
213. #13063321C23semidirect
214. #13063321C23semidirect
215. #13063320C23semidirect
216. #13063320C23semidirect
217. #13063320C23semidirect
218. #13063320C23semidirect
219. #13063319C23semidirect
220. #13063316C23semidirect
221. #13063315C23semidirect
222. #13063314C23semidirect
223. #13063314C23semidirect
224. #13063314C23semidirect
225. #13063313C23semidirect
226. #13063313C23semidirect
227. #13063313C23semidirect
228. #13063311C23semidirect
229. #13063311C23semidirect
230. #13063310C23semidirect
231. #13063310C23semidirect
232. #13063310C23semidirect
233. #13063310C23semidirect
234. #13063310C23semidirect
235. #13063310C23semidirect
236. #13063310C23semidirect
237. #13063310C23semidirect
238. #13063310C23semidirect
239. #13063310C23semidirect
240. #13063310C23semidirect
241. #13063310C23semidirect
243. #13063309C23semidirect
246. #13063308C23semidirect
247. #13063307C23semidirect
248. #13063307C23semidirect
249. #13063307C23semidirect
251. #13063305C23semidirect
252. #13063305C23semidirect
253. #13063305C23semidirect
254. #13063305C23semidirect
259. #13063303C23semidirect
260. #13063303C23semidirect
261. #13063303C23semidirect
262. #13063303C23semidirect
263. #13063303C23semidirect
266. #13063301C23semidirect
267. #13063301C23semidirect
268. #13063301C23semidirect
281. #13063300C23semidirect
282. #13063300C23semidirect
283. #13063300C23semidirect
284. #13063300C23semidirect
285. #13063300C23semidirect
286. #13063300C23semidirect
287. #13063300C23semidirect
288. #13063300C23semidirect
289. #13063300C23semidirect
290. #13063300C23semidirect
291. #13063300C23semidirect
292. #13063300C23semidirect
293. #13063300C23semidirect
294. #13063300C23semidirect
299. #13063299C23semidirect
300. #13063299C23semidirect
301. #13063299C23semidirect
302. #13063299C23semidirect
303. #13063299C23semidirect
304. #13063298C23semidirect
305. #13063298C23semidirect
306. #13063298C23semidirect
307. #13063298C23semidirect
308. #13063298C23semidirect
309. #13063298C23semidirect
310. #13063298C23semidirect
311. #13063298C23semidirect
312. #13063298C23semidirect
315. #13063297C23semidirect
316. #13063296C23semidirect
317. #13063296C23semidirect
324. #13063295C23semidirect
325. #13063295C23semidirect
326. #13063295C23semidirect
327. #13063295C23semidirect
328. #13063295C23semidirect
329. #13063295C23semidirect
330. #13063295C23semidirect
338. #13063293C23semidirect
339. #13063290C23semidirect
340. C4×D172C23semidirect
341. C4×D172C23semidirect
342. C4×D172C23semidirect
343. C4×D172C23semidirect
344. C4×D172C23semidirect
345. C4×D172C23semidirect
346. C4×D172C23semidirect
349. #13063287C23semidirect
350. #13063287C23semidirect
351. #13063287C23semidirect
352. #13063287C23semidirect
353. #13063287C23semidirect
354. #13063287C23semidirect
355. #13063287C23semidirect
356. #13063287C23semidirect
361. C4×C22⋊D43C23semidirect
362. C4×C22⋊D43C23semidirect
363. C4×C22⋊D43C23semidirect
366. (C22⋊D43)⋊C4C23semidirect
367. (C22⋊D43)⋊C4C23semidirect
368. (C22⋊D43)⋊C4C23semidirect
371. #13063283C23semidirect
372. #13063283C23semidirect
373. #13063283C23semidirect
374. #13063283C23semidirect
375. #13063282C23semidirect
376. #13063282C23semidirect
378. C4⋊C4×D43C23semidirect
379. C4⋊C4×D43C23semidirect
380. C4⋊C4×D43C23semidirect
381. C4⋊C4×D43C23semidirect
382. C4⋊C4×D43C23semidirect
388. C2×(C2×D43)⋊C4C23semidirect
395. C22⋊C4×D43C23semidirect
396. C22⋊C4×D43C23semidirect
397. C22⋊C4×D43C23semidirect
398. C42×D43C23semidirect
403. C4⋊Q8×C43C23semidirect
404. #126×C43C23semidirect
405. #125×C43C23semidirect
406. #125×C43C23semidirect
409. #123×C43C23semidirect
414. C22⋊Q8×C43C23semidirect
415. C22⋊Q8×C43C23semidirect
420. #121×C43C23semidirect
422. C4×Q8×C43C23semidirect
427. C4×D4×C43C23semidirect
430. #117×C43C23semidirect
436. C2×C4⋊C4×C43C23semidirect
663. C22×D43H(5,𝔽2)semidirect
684. C2×C4×C43H(5,𝔽2)semidirect
807. #3492D43semidirect
839. #554C2×D43semidirect
847. #553C2×D43semidirect
849. #552C2×D43semidirect
861. #547C2×D43semidirect
889. #544C2×D43semidirect
899. #539C2×D43semidirect
910. #537C2×D43semidirect
940. #525C2×D43semidirect
941. #525C2×D43semidirect
959. #520C2×D43semidirect
966. C22×C4⋊C4C2×D43semidirect
968. C43#62818semidirect
1021. C4⋊Q8C22×D43semidirect
1031. #126C22×D43semidirect
1034. #125C22×D43semidirect
1035. #125C22×D43semidirect
1067. #123C22×D43semidirect
1090. C22⋊Q8C22×D43semidirect
1091. C22⋊Q8C22×D43semidirect
1145. #121C22×D43semidirect
1169. C4×Q8C22×D43semidirect
1203. C4×D4C22×D43semidirect
1215. #117C22×D43semidirect
1226. C2×C4⋊C4C22×D43semidirect
1545. C2×C4#13063371semidirect

Maximal subgroups

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

subgroupindex
#191489122
#191489052
#191488312
#191488232
#191487832
#191486282
#191486202
#191484352
#191483532
#191483332
#191483312
#191483042
#191482782
#191482652
#191482592
#191482282
#525×D432
C22×#130633002
C43×#34922
#6281843