Finite Group Databasebeta

← #26005217

Subgroups — #26005217

Order 11008.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148916C214yesmaximal, complemented
2#19148897C214yesmaximal, complemented
3#19148826C214yesmaximal, complemented
4#19148815C214yesmaximal, complemented
5#19148775C218yesmaximal, complemented
6#19148624C214yesmaximal, complemented
7#19148618C214yesmaximal, complemented
8#19148422C214yesmaximal, complemented
9#19148351C214yesmaximal, complemented
10#19148327C212yesmaximal, complemented
11#19148320C212yesmaximal, complemented
12#19148301C212yesmaximal, complemented
13#19148282C214yesmaximal, complemented
14#19148262C212yesmaximal, complemented
15#19148257C212yesmaximal, complemented
16#19148230C211yesmaximal, characteristic, complemented
17#19148224C214yesmaximal, complemented
18#525×D43C212yesmaximal, complemented
19C22×#13063296C211yesmaximal, characteristic, complemented
20C43×#3484C211yesmaximal, characteristic, complemented
21C2×#13063370C2214yescomplemented
22C2×#13063370C2211yescharacteristic, complemented
23C2×#41×D43C2212yescomplemented
24C23×C22⋊D43C2212yescomplemented
25C23×C4×D43C2211yescharacteristic, complemented
26#14583646C2218yescomplemented
27#14583644C2218yescomplemented
28#14583638C2218yescomplemented
29#14583637C2218yescomplemented
30#14583614C2214yescomplemented
31#14583613C2214yescomplemented
32#14583607C2214yescomplemented
33#14583606C2214yescomplemented
34#14583601C2214yescomplemented
35#14583601C2214yescomplemented
36#14583599C2214yescomplemented
37#14583599C2214yescomplemented
38#14583596C2214yescomplemented
39#14583596C2218yescomplemented
40#14583595C2214yescomplemented
41#14583594C2218yescomplemented
42#14583591C2214yescomplemented
43#14583589C2214yescomplemented
44#14583580C2218yescomplemented
45#14583580C2218yescomplemented
46#14583575C2218yescomplemented
47#14583575C2218yescomplemented
48#14583569C2214yescomplemented
49#14583568C2214yescomplemented
50#14583557C2214yescomplemented
51#14583556C2214yescomplemented
52#14583554C2214yescomplemented
53#14583553C2214yescomplemented
54#14583549C2214yescomplemented
55#14583549C2214yescomplemented
56#14583546C2218yescomplemented
57#14583543C2214yescomplemented
58#14583543C2214yescomplemented
59#14583543C2218yescomplemented
60#14583543C2218yescomplemented
61#14583543C2214yescomplemented
62#14583542C2214yescomplemented
63#14583539C2218yescomplemented
64#14583539C2218yescomplemented
65#14583536C2218yescomplemented
66#14583536C2218yescomplemented
67#14583536C2218yescomplemented
68#14583536C2218yescomplemented
69#14583536C2218yescomplemented
70#14583534C2214yescomplemented
71D4×C22⋊D43C2214yescomplemented
72D4×C22⋊D43C2214yescomplemented
73D4×C22⋊D43C2218yescomplemented
74D4×C22⋊D43C2218yescomplemented
75D4×C22⋊D43C2214yescomplemented
76#14583531C2218yescomplemented
77#14583531C2218yescomplemented
78#14583527C2212yescomplemented
79#14583525C2214yescomplemented
80#14583518C2214yescomplemented
81#14583514C2214yescomplemented
82#14583503C2214yescomplemented
83#14583502C2218yescomplemented
84#14583500C2214yescomplemented
85#14583499C2218yescomplemented
86#14583493C2218yescomplemented
87#14583492C2218yescomplemented
88#14583485C2218yescomplemented
89#14583484C2218yescomplemented
90#14583484C2218yescomplemented
91#14583484C2218yescomplemented
92#14583481C2218yescomplemented
93#14583478C2218yescomplemented
94#14583478C2214yescomplemented
95#14583477C2212yescomplemented
96#14583477C2214yescomplemented
97#14583466C2212yescomplemented
98#14583466C2214yescomplemented
99#14583465C2214yescomplemented
100#14583464C2218yescomplemented
101#14583461C2214yescomplemented
102#14583459C2218yescomplemented
103#14583459C2218yescomplemented
104#14583458C2214yescomplemented
105#14583458C2214yescomplemented
106#14583458C2214yescomplemented
107#14583447C2214yescomplemented
108#14583446C2214yescomplemented
109#14583431C2214yescomplemented
110#14583428C2214yescomplemented
111#14583412C2212yescomplemented
112#14583412C2212yescomplemented
113#14583411C2212yescomplemented
114#14583410C2212yescomplemented
115#14583409C2212yescomplemented
116#14583409C2212yescomplemented
117#14583409C2214yescomplemented
118#14583408C2214yescomplemented
119#14583408C2214yescomplemented
120#14583407C2214yescomplemented
121#14583406C2212yescomplemented
122#14583406C2214yescomplemented
123#14583405C2218yescomplemented
124#14583405C2214yescomplemented
125#123×D43C2214yescomplemented
126C22⋊Q8×D43C2212yescomplemented
127C22⋊Q8×D43C2212yescomplemented
128C2×#13063296C2214yescomplemented
129C2×#13063296C2212yescomplemented
130C2×#13063296C2212yescomplemented
131C2×#13063296C2214yescomplemented
132C2×#13063296C2214yescomplemented
133C2×#13063296C2214yescomplemented
134C2×#13063296C2214yescomplemented
135C2×#13063296C2214yescomplemented
136#121×D43C2212yescomplemented
137#121×D43C2212yescomplemented
138#121×D43C2214yescomplemented
139C2×#13063294C2214yescomplemented
140#120×D43C2214yescomplemented
141#14583382C2212yescomplemented
142#14583379C2212yescomplemented
143#14583374C2211yescharacteristic, complemented
144#14583374C2214yescomplemented
145#14583372C2214yescomplemented
146#14583372C2214yescomplemented
147C4×D4×D43C2214yescomplemented
148C4×D4×D43C2214yescomplemented
149#117×D43C2212yescomplemented
150C22×C4⋊Dic43C2211yescharacteristic, complemented
151C22×C22⋊Dic43C2212yescomplemented
152C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
153C23×D4×C43C2211yescharacteristic, complemented
154C43×#546C2214yescomplemented
155C43×#546C2214yescomplemented
156D42×C43C2214yescomplemented
157D42×C43C2214yescomplemented
158C43×#535C2212yescomplemented
159C43×#534C2214yescomplemented
160C43×#525C2212yescomplemented
161C2×#120×C43C2214yescomplemented
162C43×#518C2211yescharacteristic, complemented
163C24×D43C2311yescharacteristic
164#13063370—44no—
165#13063370—416no—
166C2×#10621902C2312yescomplemented
167C2×#10621898C2312yes—
168C2×#10621898C2318yescomplemented
169C2×#10621898C2314yescomplemented
170C2×#10621900C2318yes—
171C2×#10621900C2314yes—
172C2×#10621900C2314yescomplemented
173C2×#10621900C2312yescomplemented
174C2×#10621900C2318yescomplemented
175#41×D43—48no—
176C2×Q8×D43C2312yescomplemented
177C22×C22⋊D43—48no—
178C22×C22⋊D43C2314yes—
179C22×C22⋊D43C2314yes—
180C22×C22⋊D43C2314yes—
181C22×C22⋊D43C2314yes—
182C22×C22⋊D43C2314yes—
183C22×C22⋊D43C2314yes—
184C22×C22⋊D43C2318yes—
185C22×C22⋊D43C2314yes—
186C22×C22⋊D43C2318yescomplemented
187C2×D4×D43C2314yes—
188C2×D4×D43C2314yes—
189C2×D4×D43C2314yes—
190C2×D4×D43C2312yescomplemented
191C2×D4×D43C2318yescomplemented
192C2×D4×D43C2314yescomplemented
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2312yes—
195C22×C4×D43—44no—
196C22×C4×D43C2312yes—
197C22×C4×D43C2312yes—
198C22×C4×D43C2312yes—
199C22×C4×D43C2312yes—
200C22×C4×D43C2312yes—
201C22×C4×D43C2312yes—
202C22×C4×D43C2314yescomplemented
203#13063325C2314yescomplemented
204#13063324C2314yescomplemented
205#13063321C2318yescomplemented
206#13063321C2314yescomplemented
207#13063321C2318yescomplemented
208#13063320C2318yescomplemented
209#13063318C2318yescomplemented
210#13063318C2318yescomplemented
211#13063318C2318yescomplemented
212#13063318C2318yescomplemented
213#13063318C2318yescomplemented
214#13063317C2314yescomplemented
215#13063316C2314yescomplemented
216#13063316C2318yescomplemented
217#13063315C2318yescomplemented
218#13063312C2318yescomplemented
219#13063312C2314yescomplemented
220#13063312C2318yescomplemented
221#13063311C2318yescomplemented
222#13063311C2318yescomplemented
223#13063311C2318yescomplemented
224#13063311C2318yescomplemented
225#13063310C2314yescomplemented
226#13063310C2314yescomplemented
227#13063309C2318yes—
228#13063309C2314yes—
229#13063309C2318yescomplemented
230#13063309C2318yescomplemented
231#13063308C2314yes—
232#13063308C2318yescomplemented
233#13063308C2318yescomplemented
234#13063307C2318yescomplemented
235#13063307C2318yescomplemented
236#13063307C2318yescomplemented
237#13063307C2318yescomplemented
238#13063307C2314yescomplemented
239#13063307C2314yescomplemented
240#13063307C2318yescomplemented
241#13063306C2314yes—
242#13063306C2318yes—
243#13063306C2318yescomplemented
244#13063306C2318yescomplemented
245#13063306C2318yescomplemented
246#13063306C2318yescomplemented
247#13063305C2318yescomplemented
248#13063305C2312yescomplemented
249#13063305C2312yescomplemented
250#13063304C2312yes—
251#13063304C2312yes—
252#13063304C2318yescomplemented
253#13063304C2318yescomplemented
254#13063304C2314yescomplemented
255#13063303C2314yescomplemented
256#13063303C2314yescomplemented
257#13063302C2314yes—
258#13063302C2318yes—
259#13063302C2318yes—
260#13063302C2314yes—
261#13063302C2318yescomplemented
262#13063302C2318yescomplemented
263#13063302C2318yescomplemented
264#13063301C2314yescomplemented
265#13063301C2312yescomplemented
266#13063301C2312yescomplemented
267#13063300C2312yescomplemented
268#13063300C2312yescomplemented
269#13063299C2312yes—
270#13063299C2312yes—
271#13063299C2314yescomplemented
272#13063299C2318yescomplemented
273#13063299C2318yescomplemented
274#13063298C2318yescomplemented
275#13063298C2318yescomplemented
276#13063298C2318yescomplemented
277#13063298C2314yescomplemented
278#13063298C2314yescomplemented
279#13063298C2318yescomplemented
280#13063297C2318yes—
281#13063297C2314yes—
282#13063297C2314yes—
283#13063297C2318yes—
284#13063297C2318yescomplemented
285#13063297C2318yescomplemented
286#13063297C2318yescomplemented
287#13063297C2318yescomplemented
288#13063297C2318yescomplemented
289#13063297C2318yescomplemented
290#13063297C2318yescomplemented
291#13063297C2318yescomplemented
292#13063296C2314yes—
293#13063296C2314yes—
294#13063296C2314yes—
295#13063296C2314yes—
296#13063296C2318yes—
297#13063296C2318yes—
298#13063296C2314yes—
299#13063296C2314yes—
300#13063296C2318yes—
301#13063296C2314yes—
302#13063296C2314yes—
303#13063296C2318yes—
304#13063296C2314yescomplemented
305#13063296C2318yescomplemented
306#13063296C2318yescomplemented
307#13063296C2314yescomplemented
308#13063296C2318yescomplemented
309#13063296C2314yescomplemented
310#13063296C2318yescomplemented
311#13063296C2312yescomplemented
312#13063296C2312yescomplemented
313#13063295C2314yes—
314#13063295C2314yes—
315#13063295C2314yes—
316#13063295C2318yescomplemented
317#13063294C2318yes—
318#13063294C2318yes—
319#13063294C2314yes—
320#13063294C2318yes—
321#13063294C2318yescomplemented
322#13063294C2318yescomplemented
323#13063293C2314yes—
324#13063293C2314yes—
325#13063293C2314yes—
326#13063293C2318yescomplemented
327#13063293C2318yescomplemented
328#13063293C2318yescomplemented
329#13063293C2318yescomplemented
330Q8×Dic43C2314yescomplemented
331C4×Dic86C2314yescomplemented
332C4×D172C2314yescomplemented
333C4×D172C2314yescomplemented
334C4×D172C2314yescomplemented
335D4×Dic43C2314yes—
336D4×Dic43C2318yes—
337D4×Dic43C2318yes—
338D4×Dic43C2314yes—
339D4×Dic43C2318yescomplemented
340D4×Dic43C2318yescomplemented
341D4×Dic43C2314yescomplemented
342D4×Dic43C2314yescomplemented
343D4×Dic43C2314yescomplemented
344#13063287C2314yescomplemented
345#13063287C2314yescomplemented
346C4×C22⋊D43C2314yes—
347C4×C22⋊D43C2314yes—
348C4×C22⋊D43C2318yescomplemented
349C4×C22⋊D43C2314yescomplemented
350C4×C22⋊D43C2318yescomplemented
351C4×C22⋊D43C2314yescomplemented
352C4×C22⋊D43C2318yescomplemented
353C4×C22⋊D43C2318yescomplemented
354(C22⋊D43)⋊C4C2314yes—
355(C22⋊D43)⋊C4C2318yes—
356(C22⋊D43)⋊C4C2318yes—
357(C22⋊D43)⋊C4C2314yes—
358(C22⋊D43)⋊C4C2318yescomplemented
359(C22⋊D43)⋊C4C2318yescomplemented
360(C22⋊D43)⋊C4C2314yescomplemented
361(C22⋊D43)⋊C4C2314yescomplemented
362#13063284C2312yes—
363#13063284C2318yescomplemented
364#13063284C2314yescomplemented
365#13063283C2314yescomplemented
366#13063283C2312yescomplemented
367#13063283C2312yescomplemented
368#13063282C2314yescomplemented
369#13063281C2314yes—
370#13063281C2318yes—
371#13063281C2318yescomplemented
372C2×C4⋊Dic43C2314yes—
373C2×C4⋊Dic43C2314yes—
374C2×C4⋊Dic43C2312yes—
375C2×C4⋊Dic43C2312yes—
376C2×C4⋊Dic43C2314yescomplemented
377C4⋊C4×D43C2312yescomplemented
378C4⋊C4×D43C2314yescomplemented
379C4⋊C4×D43C2314yescomplemented
380C4⋊C4×D43C2312yescomplemented
381C4⋊C4×D43C2314yescomplemented
382C2×C22⋊Dic43C2314yes—
383C2×C22⋊Dic43C2318yes—
384C2×C22⋊Dic43C2314yes—
385C2×C22⋊Dic43C2314yes—
386C2×C22⋊Dic43C2314yes—
387C2×C22⋊Dic43C2314yes—
388C2×C22⋊Dic43C2314yes—
389C2×C22⋊Dic43C2314yes—
390C2×C22⋊Dic43C2318yescomplemented
391C22⋊C4×D43C2314yes—
392C22⋊C4×D43C2314yes—
393C22⋊C4×D43C2314yes—
394C22⋊C4×D43C2314yescomplemented
395C22⋊C4×D43C2314yescomplemented
396C22⋊C4×D43C2318yescomplemented
397C42×D43C2314yescomplemented
398C25×C43C2312yes—
399H(5,𝔽2)×C43—44no—
400C2×#41×C43C2312yes—
401C2×#41×C43C2314yescomplemented
402C22×D4×C43—44no—
403C22×D4×C43C2311yescharacteristic
404C22×D4×C43C2311yescharacteristic
405C22×D4×C43C2314yes—
406C22×D4×C43C2314yes—
407C22×D4×C43C2314yes—
408C22×D4×C43C2312yes—
409C22×D4×C43C2314yes—
410C22×D4×C43C2314yes—
411C22×D4×C43C2314yescomplemented
412C23×C4×C43C2311yescharacteristic
413#127×C43C2314yescomplemented
414#124×C43C2314yescomplemented
415#123×C43C2314yes—
416#123×C43C2318yescomplemented
417C22⋊Q8×C43C2312yes—
418C22⋊Q8×C43C2312yes—
419#121×C43C2312yes—
420#121×C43C2312yes—
421#121×C43C2318yescomplemented
422#121×C43C2318yescomplemented
423#121×C43C2314yescomplemented
424#121×C43C2314yescomplemented
425#120×C43C2314yes—
426#120×C43C2318yes—
427#120×C43C2318yes—
428#120×C43C2318yes—
429#120×C43C2318yescomplemented
430C4×D4×C43C2314yes—
431C4×D4×C43C2314yes—
432C4×D4×C43C2314yescomplemented
433C4×D4×C43C2314yescomplemented
434#117×C43C2312yes—
435C2×C22⋊C4×C43C2314yes—
436C2×C22⋊C4×C43C2314yes—
437C2×C22⋊C4×C43C2314yes—
438C24×C43—44no—
439C24×C43—44no—
440C24×C43—44no—
441C24×C43C2411yescharacteristic
442C24×C43C2412yes—
443C24×C43C2414yes—
444C24×C43C2414yes—
445C24×C43C2412yes—
446C24×C43C2414yes—
447C23×D43—24no—
448C23×D43—42no—
449C23×D43—42no—
450C23×D43C2412yes—
451C23×D43C2412yes—
452C23×D43C2414yes—
453C23×D43C2411yescharacteristic
454C23×D43C2414yes—
455C23×D43C2411yescharacteristic
456#41×C43—28no—
457#41×C43—48no—
458C2×Q8×C43C2412yes—
459C2×D4×C43—24no—
460C2×D4×C43—24no—
461C2×D4×C43—44no—
462C2×D4×C43—48no—
463C2×D4×C43—48no—
464C2×D4×C43—48no—
465C2×D4×C43—48no—
466C2×D4×C43—48no—
467C2×D4×C43—48no—
468C2×D4×C43C2414yes—
469C2×D4×C43C2414yes—
470C2×D4×C43C2414yes—
471C2×D4×C43C2414yes—
472C2×D4×C43C2412yes—
473C2×D4×C43C2414yes—
474C2×D4×C43C2418yes—
475C2×D4×C43C2418yes—
476C2×D4×C43C2418yes—
477C2×D4×C43C2418yes—
478C22×C4×C43—24no—
479C22×C4×C43C2412yes—
480C22×C4×C43C2412yes—
481C22×C4×C43C2414yes—
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2414yes—
484C22×C4×C43C2414yes—
485C22×C4×C43C2414yes—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—216no—
488C2×C22⋊D43—48no—
489C2×C22⋊D43—48no—
490C2×C22⋊D43—416no—
491C2×C22⋊D43—48no—
492C2×C22⋊D43—416no—
493C2×C22⋊D43—48no—
494C2×C22⋊D43—48no—
495C2×C22⋊D43—48no—
496C2×C22⋊D43C2414yes—
497C2×C22⋊D43C2414yes—
498C2×C22⋊D43C2414yes—
499C2×C22⋊D43C2418yes—
500C2×C22⋊D43C2414yes—
501C2×C22⋊D43C2418yes—
502C2×C22⋊D43C2414yes—
503C2×C22⋊D43C2418yes—
504C2×C22⋊D43C2414yes—
505C2×C22⋊D43C2414yes—
506C2×C22⋊D43C2418yes—
507C2×C22⋊D43C2418yes—
508C2×C22⋊D43C2418yes—
509C2×C22⋊D43C2418yes—
510C2×C22⋊D43C2418yes—
511C22×Dic43—42no—
512C22×Dic43—44no—
513C22×Dic43C2412yes—
514C22×Dic43C2414yes—
515C22×Dic43C2411yescharacteristic
516C22×Dic43C2412yes—
517C22×Dic43C2411yescharacteristic
518C22×Dic43C2414yes—
519C22×Dic43C2414yes—
520C22×Dic43C2414yes—
521C22×Dic43C2414yes—
522C22×Dic43C2414yes—
523C22×Dic43C2414yes—
524C22×Dic43C2418yes—
525#10621902—44no—
526Q8×D43—44no—
527#10621900—44no—
528#10621900—48no—
529#10621900—416no—
530#10621900—48no—
531#10621900—416no—
532D4×D43—216no—
533D4×D43—416no—
534D4×D43—48no—
535D4×D43—48no—
536D4×D43—44no—
537D4×D43—48no—
538#10621898—28no—
539#10621898—48no—
540#10621898—416no—
541C2×D172C2414yes—
542C2×D172C2412yes—
543C2×D172C2414yes—
544C2×D172C2414yes—
545C2×C4×D43—28no—
546C2×C4×D43—44no—
547C2×C4×D43—44no—
548C2×C4×D43—44no—
549C2×C4×D43—44no—
550C2×C4×D43—44no—
551C2×C4×D43—48no—
552C2×C4×D43C2412yes—
553C2×C4×D43C2414yes—
554C2×C4×D43C2412yes—
555C2×C4×D43C2414yes—
556C2×C4×D43C2412yes—
557C2×C4×D43C2412yes—
558C2×C4×D43C2414yes—
559C2×C4×D43C2414yes—
560C2×C4×D43C2412yes—
561C2×C4×D43C2412yes—
562C2×C4×D43C2414yes—
563C2×C4×D43C2418yes—
564C2×C4×D43C2412yes—
565C2×C4×D43C2412yes—
566C2×Dic86C2412yes—
567C2×Dic86C2414yes—
568C2×Dic86C2418yes—
569C4⋊C4×C43C2412yes—
570C4⋊C4×C43C2412yes—
571C4⋊C4×C43C2414yes—
572C4⋊C4×C43C2414yes—
573C22⋊C4×C43C2414yes—
574C22⋊C4×C43C2414yes—
575C22⋊C4×C43C2414yes—
576C22⋊C4×C43C2418yes—
577C22⋊C4×C43C2418yes—
578C22⋊C4×C43C2418yes—
579C22⋊C4×C43C2414yes—
580C22⋊C4×C43C2414yes—
581C42×C43C2414yes—
582C22⋊Dic43C2414yes—
583C22⋊Dic43C2414yes—
584C22⋊Dic43C2414yes—
585C22⋊Dic43C2418yes—
586C22⋊Dic43C2414yes—
587C22⋊Dic43C2414yes—
588C22⋊Dic43C2418yes—
589C22⋊Dic43C2418yes—
590C22⋊Dic43C2418yes—
591C22⋊Dic43C2418yes—
592C22⋊Dic43C2418yes—
593C22⋊Dic43C2418yes—
594C22⋊Dic43C2418yes—
595C22⋊Dic43C2418yes—
596(C2×D43)⋊C4C2414yes—
597(C2×D43)⋊C4C2414yes—
598(C2×D43)⋊C4C2414yes—
599(C2×D43)⋊C4C2414yes—
600(C2×D43)⋊C4C2414yes—
601(C2×D43)⋊C4C2414yes—
602(C2×D43)⋊C4C2414yes—
603(C2×D43)⋊C4C2418yes—
604(C2×D43)⋊C4C2414yes—
605(C2×D43)⋊C4C2414yes—
606(C2×D43)⋊C4C2414yes—
607(C2×D43)⋊C4C2418yes—
608C4⋊Dic43C2414yes—
609C4⋊Dic43C2412yes—
610C4⋊Dic43C2412yes—
611C4⋊Dic43C2414yes—
612C4⋊Dic43C2414yes—
613C4⋊Dic43C2414yes—
614C4⋊Dic43C2418yes—
615C4⋊Dic43C2418yes—
616C4⋊Dic43C2418yes—
617Dic43⋊C4C2414yes—
618Dic43⋊C4C2414yes—
619Dic43⋊C4C2414yes—
620Dic43⋊C4C2414yes—
621Dic43⋊C4C2418yes—
622Dic43⋊C4C2414yes—
623Dic43⋊C4C2414yes—
624Dic43⋊C4C2418yes—
625Dic43⋊C4C2418yes—
626Dic43⋊C4C2418yes—
627C4×Dic43C2414yes—
628C4×Dic43C2414yes—
629C4×Dic43C2414yes—
630C4×Dic43C2418yes—
631C4×Dic43C2418yes—
632C23×C43—22no—
633C23×C43—22no—
634C23×C43—22no—
635C23×C43—28no—
636C23×C43—24no—
637C23×C43—24no—
638C23×C43—28no—
639C23×C43—42no—
640C23×C43—44no—
641C23×C43—42no—
642C23×C43—44no—
643C23×C43—44no—
644C23×C43—42no—
645C23×C43—44no—
646C23×C43—42no—
647C23×C43—44no—
648C23×C43—44no—
649C23×C43—44no—
650C23×C43—816no—
651C23×C43C2514yes—
652C23×C43C2514yes—
653C23×C43C2514yes—
654C23×C43C2511yescharacteristic
655C23×C43C2511yescharacteristic
656C23×C43C2511yescharacteristic
657C22×D43—24no—
658C22×D43—22no—
659C22×D43—24no—
660C22×D43—24no—
661C22×D43—24no—
662C22×D43—28no—
663C22×D43—41no—
664C22×D43—42no—
665C22×D43—41no—
666C22×D43—41no—
667C22×D43—42no—
668C22×D43—41no—
669C22×D43—44no—
670C22×D43—44no—
671C22×D43—44no—
672C22×D43—44no—
673C22×D43—44no—
674C22×D43—416no—
675C22×D43H(5,𝔽2)14yescomplemented
676C22×D43C2512yes—
677C22×D43C2514yes—
678C22×D43C2512yes—
679Q8×C43—24no—
680D4×C43—28no—
681D4×C43—28no—
682D4×C43—28no—
683D4×C43—28no—
684D4×C43—24no—
685D4×C43—28no—
686D4×C43—48no—
687D4×C43—48no—
688D4×C43—48no—
689D4×C43—48no—
690C2×C4×C43—22no—
691C2×C4×C43—24no—
692C2×C4×C43—24no—
693C2×C4×C43—28no—
694C2×C4×C43—44no—
695C2×C4×C43—44no—
696C2×C4×C43—44no—
697C2×C4×C43H(5,𝔽2)14yescomplemented
698C2×C4×C43C2514yes—
699C2×C4×C43C2514yes—
700C2×C4×C43C2514yes—
701C2×C4×C43C2512yes—
702C2×C4×C43C2512yes—
703C22⋊D43—28no—
704C22⋊D43—28no—
705C22⋊D43—28no—
706C22⋊D43—216no—
707C22⋊D43—28no—
708C22⋊D43—216no—
709C22⋊D43—44no—
710C22⋊D43—44no—
711C22⋊D43—48no—
712C22⋊D43—48no—
713C22⋊D43—48no—
714C22⋊D43—44no—
715C22⋊D43—48no—
716C22⋊D43—48no—
717C22⋊D43—48no—
718C2×Dic43—24no—
719C2×Dic43—28no—
720C2×Dic43—41no—
721C2×Dic43—42no—
722C2×Dic43—41no—
723C2×Dic43—44no—
724C2×Dic43—44no—
725C2×Dic43—44no—
726C2×Dic43—48no—
727C2×Dic43—44no—
728C2×Dic43—44no—
729C2×Dic43—44no—
730C2×Dic43C2514yes—
731C2×Dic43C2512yes—
732C2×Dic43C2514yes—
733C2×Dic43C2518yes—
734C2×Dic43C2514yes—
735C2×Dic43C2512yes—
736D172—28no—
737D172—24no—
738D172—44no—
739D172—44no—
740C4×D43—28no—
741C4×D43—24no—
742C4×D43—24no—
743C4×D43—24no—
744C4×D43—24no—
745C4×D43—28no—
746C4×D43—42no—
747C4×D43—42no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—44no—
751C4×D43—44no—
752C4×D43—48no—
753C4×D43—44no—
754Dic86—24no—
755Dic86—48no—
756Dic86—44no—
757#62818—431nomaximal, Sylow
758C22×C43—28no—
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—21no—
762C22×C43—21no—
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—24no—
766C22×C43—24no—
767C22×C43—24no—
768C22×C43—24no—
769C22×C43—24no—
770C22×C43—24no—
771C22×C43—24no—
772C22×C43—24no—
773C22×C43—24no—
774C22×C43—84no—
775C22×C43—88no—
776C22×C43—84no—
777C22×C43—88no—
778C22×C43—164no—
779C22×C43C2×H(5,𝔽2)12yes—
780C22×C43C2×H(5,𝔽2)12yes—
781C22×C43#58512yes—
782C22×C43C2611yescharacteristic
783C2×D43—22no—
784C2×D43—22no—
785C2×D43—22no—
786C2×D43—22no—
787C2×D43—24no—
788C2×D43—24no—
789C2×D43—22no—
790C2×D43—24no—
791C2×D43—44no—
792C2×D43—48no—
793C2×D43—48no—
794C2×D43—44no—
795C2×D43—88no—
796C2×D43—164no—
797C2×D43C2×H(5,𝔽2)14yes—
798C4×C43—24no—
799C4×C43—24no—
800C4×C43—22no—
801C4×C43—24no—
802C4×C43C2×H(5,𝔽2)14yes—
803Dic43—24no—
804Dic43—22no—
805Dic43—24no—
806Dic43—28no—
807Dic43—22no—
808Dic43—24no—
809#3542—434no—
810#3542—434no—
811#3537—434no—
812#3536—434no—
813#3534—438no—
814#3519—434no—
815#3519—434no—
816#3505—434no—
817#3496—434no—
818#3494—432no—
819#3494—432no—
820#3492—432no—
821#3490—434no—
822#3488—432no—
823#3488—432no—
824#3484—431no—
825#3484—434no—
826#3484D4311yescharacteristic, complemented
827C2×#525—432no—
828C22×#121—431no—
829C2×C43—22no—
830C2×C43—22no—
831C2×C43—22no—
832C2×C43—44no—
833C2×C43—44no—
834C2×C43—44no—
835C2×C43C22×H(5,𝔽2)11yescharacteristic
836C2×C43C22×H(5,𝔽2)11yescharacteristic
837C2×C43C2×#58511yescharacteristic
838D43—24no—
839D43—42no—
840D43—44no—
841C2×H(5,𝔽2)—431no—
842C2×H(5,𝔽2)—434no—
843C2×H(5,𝔽2)C2×D4311yescharacteristic, complemented
844C22×#41—432no—
845C23×D4—432no—
846C23×D4C2×D4311yescharacteristic, complemented
847C24×C4—431no—
848#562—438no—
849#562—438no—
850#560—438no—
851#560—438no—
852#555—434no—
853#555—434no—
854#554—434no—
855#554—434no—
856#553—438no—
857#553—434no—
858#553—434no—
859#553—438no—
860#553—434no—
861#553—434no—
862#553—434no—
863#553—434no—
864#552—434no—
865#552—434no—
866#551—438no—
867#551—438no—
868#551—438no—
869#551—438no—
870#550—434no—
871#550—434no—
872#548—434no—
873#548—434no—
874#547—434no—
875#547—434no—
876#547—434no—
877#547—434no—
878#546—434no—
879#546—434no—
880#546—438no—
881#546—438no—
882#546—434no—
883#546—434no—
884#546—438no—
885#546—438no—
886#546—438no—
887#546—438no—
888#546—438no—
889#546—438no—
890#546—438no—
891#546—438no—
892#546C2×D4314yescomplemented
893#546C2×D4314yescomplemented
894D42—438no—
895D42—434no—
896D42—438no—
897D42—434no—
898D42—434no—
899D42—434no—
900D42—438no—
901D42—438no—
902D42C2×D4314yescomplemented
903D42C2×D4314yescomplemented
904#544—432no—
905#543—434no—
906#542—434no—
907#542—434no—
908#540—434no—
909#540—438no—
910#540—438no—
911#540—434no—
912#539—438no—
913#539—438no—
914#538—438no—
915#538—438no—
916#538—438no—
917#538—438no—
918#538—438no—
919#537—432no—
920#537—434no—
921#537—434no—
922#537—438no—
923#535—432no—
924#535—434no—
925#535—434no—
926#535—438no—
927#535C2×D4312yescomplemented
928#534—434no—
929#534—434no—
930#534—434no—
931#534—438no—
932#534—438no—
933#534—434no—
934#534C2×D4314yescomplemented
935#532—434no—
936#532—434no—
937#529—434no—
938#529—434no—
939#525—432no—
940#525—434no—
941#525—432no—
942#525—434no—
943#525—432no—
944#525—432no—
945#525—432no—
946#525—432no—
947#525—434no—
948#525—434no—
949#525—438no—
950#525—434no—
951#525—434no—
952#525—432no—
953#525C2×D4312yescomplemented
954C2×#123—434no—
955C2×C22⋊Q8—432no—
956C2×C22⋊Q8—432no—
957C2×#121—432no—
958C2×#121—432no—
959C2×#121—434no—
960C2×#121—434no—
961C2×#121—434no—
962C2×#121—434no—
963C2×#121—434no—
964C2×#121—434no—
965C2×#121—432no—
966C2×#121—432no—
967C2×#121—434no—
968C2×#120—434no—
969C2×#120—434no—
970C2×#120C2×D4314yescomplemented
971#520—432no—
972#520—432no—
973#518—431no—
974#518—434no—
975#518—434no—
976#518—434no—
977#518C2×D4311yescharacteristic, complemented
978C2×C4×D4—434no—
979C2×C4×D4—434no—
980C2×#117—432no—
981C22×C4⋊C4—431no—
982C22×C22⋊C4—432no—
983C43#6281811yescharacteristic, complemented, Sylow
984C25—431no—
985C25C22×D4312yes—
986H(5,𝔽2)—44no—
987H(5,𝔽2)—1724no—
988H(5,𝔽2)—17216no—
989C2×#41—432no—
990C2×#41—434no—
991C2×#41—432no—
992C2×#41—438no—
993C2×#41—434no—
994C2×#41—438no—
995C2×#41—432no—
996C2×#41—434no—
997C2×#41—438no—
998C2×#41—1728no—
999C2×#41C22×D4312yes—
1000C2×#41C22×D4314yescomplemented
1001C22×Q8—432no—
1002C22×D4—44no—
1003C22×D4—434no—
1004C22×D4—434no—
1005C22×D4—434no—
1006C22×D4—434no—
1007C22×D4—434no—
1008C22×D4—434no—
1009C22×D4—438no—
1010C22×D4—434no—
1011C22×D4—438no—
1012C22×D4—434no—
1013C22×D4—434no—
1014C22×D4—434no—
1015C22×D4—432no—
1016C22×D4—438no—
1017C22×D4—434no—
1018C22×D4—1728no—
1019C22×D4C22×D4311yescharacteristic
1020C22×D4C22×D4311yescharacteristic
1021C22×D4C22×D4314yes—
1022C22×D4C22×D4314yes—
1023C22×D4C22×D4314yes—
1024C22×D4C22×D4312yes—
1025C22×D4C22×D4314yes—
1026C22×D4C22×D4314yes—
1027C22×D4C22×D4314yescomplemented
1028C23×C4—431no—
1029C23×C4—432no—
1030C23×C4—432no—
1031C23×C4—432no—
1032C23×C4—432no—
1033C23×C4—434no—
1034C23×C4—432no—
1035C23×C4—432no—
1036C23×C4—432no—
1037C23×C4—1724no—
1038C23×C4C22×D4311yescharacteristic
1039C4⋊Q8—434no—
1040C4⋊Q8—434no—
1041#127—434no—
1042#127—438no—
1043#127—438no—
1044#127C22×D4314yescomplemented
1045#126—438no—
1046#126—438no—
1047#126—438no—
1048#126—438no—
1049#126—438no—
1050#126—438no—
1051#125—434no—
1052#125—438no—
1053#125—438no—
1054#125—434no—
1055#124—434no—
1056#124—438no—
1057#124—438no—
1058#124—438no—
1059#124—438no—
1060#124—438no—
1061#124—438no—
1062#124C22×D4314yescomplemented
1063#123—434no—
1064#123—438no—
1065#123—438no—
1066#123—438no—
1067#123—438no—
1068#123—438no—
1069#123—434no—
1070#123—438no—
1071#123—438no—
1072#123—434no—
1073#123—434no—
1074#123—434no—
1075#123—434no—
1076#123—434no—
1077#123—438no—
1078#123—438no—
1079#123—438no—
1080#123—438no—
1081#123—438no—
1082#123—438no—
1083#123—438no—
1084#123—438no—
1085#123C22×D4314yes—
1086#123C22×D4318yescomplemented
1087C22⋊Q8—432no—
1088C22⋊Q8—432no—
1089C22⋊Q8—434no—
1090C22⋊Q8—432no—
1091C22⋊Q8—432no—
1092C22⋊Q8—434no—
1093C22⋊Q8—438no—
1094C22⋊Q8—438no—
1095C22⋊Q8—432no—
1096C22⋊Q8—432no—
1097C22⋊Q8—434no—
1098C22⋊Q8—434no—
1099C22⋊Q8—438no—
1100C22⋊Q8—434no—
1101C22⋊Q8—434no—
1102C22⋊Q8—438no—
1103C22⋊Q8—438no—
1104C22⋊Q8—438no—
1105C22⋊Q8—438no—
1106C22⋊Q8—438no—
1107C22⋊Q8C22×D4312yes—
1108C22⋊Q8C22×D4312yes—
1109#121—434no—
1110#121—434no—
1111#121—432no—
1112#121—438no—
1113#121—434no—
1114#121—434no—
1115#121—438no—
1116#121—434no—
1117#121—434no—
1118#121—438no—
1119#121—434no—
1120#121—434no—
1121#121—438no—
1122#121—434no—
1123#121—432no—
1124#121—434no—
1125#121—438no—
1126#121—434no—
1127#121—434no—
1128#121—438no—
1129#121—438no—
1130#121—438no—
1131#121—434no—
1132#121—438no—
1133#121—438no—
1134#121—438no—
1135#121—438no—
1136#121—438no—
1137#121—438no—
1138#121—438no—
1139#121—438no—
1140#121—438no—
1141#121—438no—
1142#121—432no—
1143#121—432no—
1144#121—434no—
1145#121—438no—
1146#121—438no—
1147#121—432no—
1148#121—432no—
1149#121—434no—
1150#121—434no—
1151#121—438no—
1152#121—438no—
1153#121—438no—
1154#121—438no—
1155#121C22×D4312yes—
1156#121C22×D4312yes—
1157#121C22×D4314yescomplemented
1158#121C22×D4314yescomplemented
1159#121C22×D4318yescomplemented
1160#121C22×D4318yescomplemented
1161#120—434no—
1162#120—438no—
1163#120—438no—
1164#120—438no—
1165#120—438no—
1166#120—438no—
1167#120—434no—
1168#120—434no—
1169#120—434no—
1170#120—438no—
1171#120—438no—
1172#120—438no—
1173#120—438no—
1174#120—434no—
1175#120—434no—
1176#120—434no—
1177#120—438no—
1178#120C22×D4314yes—
1179#120C22×D4318yes—
1180#120C22×D4318yes—
1181#120C22×D4318yes—
1182#120C22×D4318yescomplemented
1183C4×Q8—434no—
1184C4×Q8—434no—
1185C4×D4—434no—
1186C4×D4—434no—
1187C4×D4—438no—
1188C4×D4—438no—
1189C4×D4—434no—
1190C4×D4—438no—
1191C4×D4—434no—
1192C4×D4—438no—
1193C4×D4—434no—
1194C4×D4—434no—
1195C4×D4—434no—
1196C4×D4—434no—
1197C4×D4—434no—
1198C4×D4—438no—
1199C4×D4—438no—
1200C4×D4—438no—
1201C4×D4—438no—
1202C4×D4—434no—
1203C4×D4—434no—
1204C4×D4—434no—
1205C4×D4—434no—
1206C4×D4—434no—
1207C4×D4—434no—
1208C4×D4—438no—
1209C4×D4—438no—
1210C4×D4—438no—
1211C4×D4—438no—
1212C4×D4—434no—
1213C4×D4—434no—
1214C4×D4—434no—
1215C4×D4C22×D4314yes—
1216C4×D4C22×D4314yes—
1217C4×D4C22×D4314yescomplemented
1218C4×D4C22×D4314yescomplemented
1219#117—432no—
1220#117—438no—
1221#117—434no—
1222#117—432no—
1223#117—432no—
1224#117—434no—
1225#117—434no—
1226#117—438no—
1227#117—438no—
1228#117—434no—
1229#117C22×D4312yes—
1230C2×C4⋊C4—432no—
1231C2×C4⋊C4—432no—
1232C2×C4⋊C4—434no—
1233C2×C4⋊C4—434no—
1234C2×C4⋊C4—434no—
1235C2×C4⋊C4—432no—
1236C2×C4⋊C4—432no—
1237C2×C4⋊C4—434no—
1238C2×C4⋊C4—434no—
1239C2×C4⋊C4—434no—
1240C2×C22⋊C4—434no—
1241C2×C22⋊C4—434no—
1242C2×C22⋊C4—434no—
1243C2×C22⋊C4—434no—
1244C2×C22⋊C4—438no—
1245C2×C22⋊C4—434no—
1246C2×C22⋊C4—434no—
1247C2×C22⋊C4—434no—
1248C2×C22⋊C4—438no—
1249C2×C22⋊C4—434no—
1250C2×C22⋊C4—434no—
1251C2×C22⋊C4—434no—
1252C2×C22⋊C4—434no—
1253C2×C22⋊C4—434no—
1254C2×C22⋊C4—438no—
1255C2×C22⋊C4C22×D4314yes—
1256C2×C22⋊C4C22×D4314yes—
1257C2×C22⋊C4C22×D4314yes—
1258C2×C42—434no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—431no—
1263C24—432no—
1264C24—432no—
1265C24—434no—
1266C24—431no—
1267C24—434no—
1268C24—864no—
1269C24—1722no—
1270C24—1722no—
1271C24C23×D4311yescharacteristic
1272C24C23×D4312yes—
1273C24C23×D4314yes—
1274C24C23×D4314yes—
1275C24C23×D4312yes—
1276C24C23×D4314yes—
1277#41—28no—
1278#41—48no—
1279#41—868no—
1280#41—1728no—
1281#41—17216no—
1282#41—1728no—
1283#41—17216no—
1284#41—1724no—
1285#41—1728no—
1286#41—17216no—
1287#41—1724no—
1288C2×Q8—432no—
1289C2×Q8—434no—
1290C2×Q8—438no—
1291C2×Q8—1724no—
1292C2×Q8C23×D4312yes—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—48no—
1296C2×D4—48no—
1297C2×D4—48no—
1298C2×D4—44no—
1299C2×D4—48no—
1300C2×D4—48no—
1301C2×D4—48no—
1302C2×D4—434no—
1303C2×D4—434no—
1304C2×D4—434no—
1305C2×D4—434no—
1306C2×D4—438no—
1307C2×D4—438no—
1308C2×D4—438no—
1309C2×D4—434no—
1310C2×D4—434no—
1311C2×D4—434no—
1312C2×D4—438no—
1313C2×D4—438no—
1314C2×D4—438no—
1315C2×D4—438no—
1316C2×D4—438no—
1317C2×D4—434no—
1318C2×D4—432no—
1319C2×D4—434no—
1320C2×D4—434no—
1321C2×D4—8616no—
1322C2×D4—8616no—
1323C2×D4—1724no—
1324C2×D4—1728no—
1325C2×D4—1728no—
1326C2×D4—1728no—
1327C2×D4—1728no—
1328C2×D4—17216no—
1329C2×D4—1728no—
1330C2×D4—1728no—
1331C2×D4—1728no—
1332C2×D4—1728no—
1333C2×D4—17216no—
1334C2×D4—1728no—
1335C2×D4—17216no—
1336C2×D4C23×D4314yes—
1337C2×D4C23×D4314yes—
1338C2×D4C23×D4312yes—
1339C2×D4C23×D4314yes—
1340C2×D4C23×D4314yes—
1341C2×D4C23×D4314yes—
1342C2×D4C23×D4318yes—
1343C2×D4C23×D4318yes—
1344C2×D4C23×D4318yes—
1345C2×D4C23×D4318yes—
1346C22×C4—24no—
1347C22×C4—432no—
1348C22×C4—434no—
1349C22×C4—431no—
1350C22×C4—432no—
1351C22×C4—431no—
1352C22×C4—434no—
1353C22×C4—434no—
1354C22×C4—434no—
1355C22×C4—434no—
1356C22×C4—434no—
1357C22×C4—434no—
1358C22×C4—438no—
1359C22×C4—432no—
1360C22×C4—434no—
1361C22×C4—432no—
1362C22×C4—434no—
1363C22×C4—432no—
1364C22×C4—432no—
1365C22×C4—434no—
1366C22×C4—432no—
1367C22×C4—434no—
1368C22×C4—432no—
1369C22×C4—434no—
1370C22×C4—438no—
1371C22×C4—432no—
1372C22×C4—432no—
1373C22×C4—868no—
1374C22×C4—1724no—
1375C22×C4—1724no—
1376C22×C4—1724no—
1377C22×C4—1724no—
1378C22×C4—1728no—
1379C22×C4—1724no—
1380C22×C4—1722no—
1381C22×C4—1724no—
1382C22×C4C23×D4312yes—
1383C22×C4C23×D4312yes—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4314yes—
1386C22×C4C23×D4314yes—
1387C22×C4C23×D4314yes—
1388C22×C4C23×D4314yes—
1389C22×C4C23×D4311yescharacteristic
1390C4⋊C4—434no—
1391C4⋊C4—434no—
1392C4⋊C4—432no—
1393C4⋊C4—438no—
1394C4⋊C4—432no—
1395C4⋊C4—434no—
1396C4⋊C4—434no—
1397C4⋊C4—434no—
1398C4⋊C4—434no—
1399C4⋊C4—434no—
1400C4⋊C4—434no—
1401C4⋊C4—434no—
1402C4⋊C4—434no—
1403C4⋊C4—438no—
1404C4⋊C4—438no—
1405C4⋊C4—438no—
1406C4⋊C4—438no—
1407C4⋊C4—438no—
1408C4⋊C4—438no—
1409C4⋊C4C23×D4312yes—
1410C4⋊C4C23×D4312yes—
1411C4⋊C4C23×D4314yes—
1412C4⋊C4C23×D4314yes—
1413C22⋊C4—438no—
1414C22⋊C4—438no—
1415C22⋊C4—434no—
1416C22⋊C4—434no—
1417C22⋊C4—434no—
1418C22⋊C4—434no—
1419C22⋊C4—438no—
1420C22⋊C4—438no—
1421C22⋊C4—438no—
1422C22⋊C4—438no—
1423C22⋊C4—438no—
1424C22⋊C4—438no—
1425C22⋊C4—434no—
1426C22⋊C4—438no—
1427C22⋊C4—434no—
1428C22⋊C4—434no—
1429C22⋊C4—434no—
1430C22⋊C4—434no—
1431C22⋊C4—434no—
1432C22⋊C4—438no—
1433C22⋊C4—434no—
1434C22⋊C4—434no—
1435C22⋊C4—434no—
1436C22⋊C4—434no—
1437C22⋊C4—434no—
1438C22⋊C4—438no—
1439C22⋊C4C23×D4314yes—
1440C22⋊C4C23×D4314yes—
1441C22⋊C4C23×D4314yes—
1442C22⋊C4C23×D4318yes—
1443C22⋊C4C23×D4314yes—
1444C22⋊C4C23×D4314yes—
1445C22⋊C4C23×D4318yes—
1446C22⋊C4C23×D4318yes—
1447C42—434no—
1448C42—434no—
1449C42—434no—
1450C42—438no—
1451C42—438no—
1452C42C23×D4314yes—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—28no—
1457C23—24no—
1458C23—24no—
1459C23—28no—
1460C23—44no—
1461C23—44no—
1462C23—42no—
1463C23—44no—
1464C23—42no—
1465C23—42no—
1466C23—44no—
1467C23—42no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—816no—
1472C23—432no—
1473C23—434no—
1474C23—434no—
1475C23—432no—
1476C23—868no—
1477C23—864no—
1478C23—864no—
1479C23—862no—
1480C23—864no—
1481C23—864no—
1482C23—1724no—
1483C23—1724no—
1484C23—1721no—
1485C23—1722no—
1486C23—1721no—
1487C23—1721no—
1488C23—1722no—
1489C23—1721no—
1490C23—1724no—
1491C23—1724no—
1492C23—1724no—
1493C23—17216no—
1494C23C24×D4314yes—
1495C23C24×D4314yes—
1496C23C24×D4314yes—
1497C23C24×D4311yescharacteristic
1498C23C24×D4311yescharacteristic
1499C23C24×D4311yescharacteristic
1500Q8—24no—
1501Q8—864no—
1502Q8—1724no—
1503Q8—1728no—
1504D4—28no—
1505D4—28no—
1506D4—28no—
1507D4—28no—
1508D4—28no—
1509D4—24no—
1510D4—48no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—868no—
1515D4—8616no—
1516D4—8616no—
1517D4—868no—
1518D4—868no—
1519D4—868no—
1520D4—868no—
1521D4—864no—
1522D4—1724no—
1523D4—1724no—
1524D4—1728no—
1525D4—1728no—
1526D4—1728no—
1527D4—1728no—
1528D4—1728no—
1529D4—1724no—
1530D4—1724no—
1531D4—1728no—
1532D4—1724no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—28no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—434no—
1541C2×C4—432no—
1542C2×C4—434no—
1543C2×C4—434no—
1544C2×C4—438no—
1545C2×C4—432no—
1546C2×C4—868no—
1547C2×C4—868no—
1548C2×C4—864no—
1549C2×C4—864no—
1550C2×C4—864no—
1551C2×C4—864no—
1552C2×C4—864no—
1553C2×C4—868no—
1554C2×C4—1722no—
1555C2×C4—1722no—
1556C2×C4—1722no—
1557C2×C4—1722no—
1558C2×C4—1724no—
1559C2×C4—1724no—
1560C2×C4—1728no—
1561C2×C4—1724no—
1562C2×C4—1721no—
1563C2×C4—1722no—
1564C2×C4—1721no—
1565C2×C4—1724no—
1566C2×C4—1724no—
1567C2×C4—1724no—
1568C2×C4—1728no—
1569C2×C4—1724no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4#1306337014yescomplemented
1573C2×C4C24×D4314yes—
1574C2×C4C24×D4314yes—
1575C2×C4C24×D4314yes—
1576C2×C4C24×D4312yes—
1577C2×C4C24×D4312yes—
1578C22—28no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—24no—
1594C22—88no—
1595C22—84no—
1596C22—84no—
1597C22—88no—
1598C22—164no—
1599C22—434no—
1600C22—862no—
1601C22—862no—
1602C22—864no—
1603C22—862no—
1604C22—862no—
1605C22—864no—
1606C22—864no—
1607C22—862no—
1608C22—3448no—
1609C22—1724no—
1610C22—1728no—
1611C22—1728no—
1612C22—1724no—
1613C22—6884no—
1614C22H(5,𝔽2)×D4312yes—
1615C22C2×#1306337012yes—
1616C22#1458373412yes—
1617C22C25×D4311yescharacteristic
1618C4—24no—
1619C4—22no—
1620C4—24no—
1621C4—24no—
1622C4—868no—
1623C4—864no—
1624C4—862no—
1625C4—862no—
1626C4—864no—
1627C4—864no—
1628C4C2×#1306337014yes—
1629C2—22no—
1630C2—22no—
1631C2—22no—
1632C2—44no—
1633C2—44no—
1634C2—44no—
1635C2—864no—
1636C2—1724no—
1637C2—1722no—
1638C2C2×H(5,𝔽2)×D4311yescharacteristic
1639C2C22×#1306337011yescharacteristic
1640C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3484C2
hypercenter#3484D43
hypocenterC43#62818
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3484

Complements

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

NH ≅ G/Ntype
1. #19148916C2semidirect
2. #19148897C2semidirect
3. #19148826C2semidirect
4. #19148815C2semidirect
5. #19148775C2semidirect
6. #19148624C2semidirect
7. #19148618C2semidirect
8. #19148422C2semidirect
9. #19148351C2semidirect
10. #19148327C2semidirect
11. #19148320C2semidirect
12. #19148301C2semidirect
13. #19148282C2semidirect
14. #19148262C2semidirect
15. #19148257C2semidirect
16. #19148230C2semidirect
17. #19148224C2semidirect
18. #525×D43C2semidirect
19. C22×#13063296C2semidirect
20. C43×#3484C2semidirect
21. C2×#13063370C22semidirect
22. C2×#13063370C22semidirect
23. C2×#41×D43C22semidirect
24. C23×C22⋊D43C22semidirect
25. C23×C4×D43C22semidirect
26. #14583646C22semidirect
27. #14583644C22semidirect
28. #14583638C22semidirect
29. #14583637C22semidirect
30. #14583614C22semidirect
31. #14583613C22semidirect
32. #14583607C22semidirect
33. #14583606C22semidirect
34. #14583601C22semidirect
35. #14583601C22semidirect
36. #14583599C22semidirect
37. #14583599C22semidirect
38. #14583596C22semidirect
39. #14583596C22semidirect
40. #14583595C22semidirect
41. #14583594C22semidirect
42. #14583591C22semidirect
43. #14583589C22semidirect
44. #14583580C22semidirect
45. #14583580C22semidirect
46. #14583575C22semidirect
47. #14583575C22semidirect
48. #14583569C22semidirect
49. #14583568C22semidirect
50. #14583557C22semidirect
51. #14583556C22semidirect
52. #14583554C22semidirect
53. #14583553C22semidirect
54. #14583549C22semidirect
55. #14583549C22semidirect
56. #14583546C22semidirect
57. #14583543C22semidirect
58. #14583543C22semidirect
59. #14583543C22semidirect
60. #14583543C22semidirect
61. #14583543C22semidirect
62. #14583542C22semidirect
63. #14583539C22semidirect
64. #14583539C22semidirect
65. #14583536C22semidirect
66. #14583536C22semidirect
67. #14583536C22semidirect
68. #14583536C22semidirect
69. #14583536C22semidirect
70. #14583534C22semidirect
71. D4×C22⋊D43C22semidirect
72. D4×C22⋊D43C22semidirect
73. D4×C22⋊D43C22semidirect
74. D4×C22⋊D43C22semidirect
75. D4×C22⋊D43C22semidirect
76. #14583531C22semidirect
77. #14583531C22semidirect
78. #14583527C22semidirect
79. #14583525C22semidirect
80. #14583518C22semidirect
81. #14583514C22semidirect
82. #14583503C22semidirect
83. #14583502C22semidirect
84. #14583500C22semidirect
85. #14583499C22semidirect
86. #14583493C22semidirect
87. #14583492C22semidirect
88. #14583485C22semidirect
89. #14583484C22semidirect
90. #14583484C22semidirect
91. #14583484C22semidirect
92. #14583481C22semidirect
93. #14583478C22semidirect
94. #14583478C22semidirect
95. #14583477C22semidirect
96. #14583477C22semidirect
97. #14583466C22semidirect
98. #14583466C22semidirect
99. #14583465C22semidirect
100. #14583464C22semidirect
101. #14583461C22semidirect
102. #14583459C22semidirect
103. #14583459C22semidirect
104. #14583458C22semidirect
105. #14583458C22semidirect
106. #14583458C22semidirect
107. #14583447C22semidirect
108. #14583446C22semidirect
109. #14583431C22semidirect
110. #14583428C22semidirect
111. #14583412C22semidirect
112. #14583412C22semidirect
113. #14583411C22semidirect
114. #14583410C22semidirect
115. #14583409C22semidirect
116. #14583409C22semidirect
117. #14583409C22semidirect
118. #14583408C22semidirect
119. #14583408C22semidirect
120. #14583407C22semidirect
121. #14583406C22semidirect
122. #14583406C22semidirect
123. #14583405C22semidirect
124. #14583405C22semidirect
125. #123×D43C22semidirect
126. C22⋊Q8×D43C22semidirect
127. C22⋊Q8×D43C22semidirect
128. C2×#13063296C22semidirect
129. C2×#13063296C22semidirect
130. C2×#13063296C22semidirect
131. C2×#13063296C22semidirect
132. C2×#13063296C22semidirect
133. C2×#13063296C22semidirect
134. C2×#13063296C22semidirect
135. C2×#13063296C22semidirect
136. #121×D43C22semidirect
137. #121×D43C22semidirect
138. #121×D43C22semidirect
139. C2×#13063294C22semidirect
140. #120×D43C22semidirect
141. #14583382C22semidirect
142. #14583379C22semidirect
143. #14583374C22semidirect
144. #14583374C22semidirect
145. #14583372C22semidirect
146. #14583372C22semidirect
147. C4×D4×D43C22semidirect
148. C4×D4×D43C22semidirect
149. #117×D43C22semidirect
150. C22×C4⋊Dic43C22semidirect
151. C22×C22⋊Dic43C22semidirect
152. C2×H(5,𝔽2)×C43C22semidirect
153. C23×D4×C43C22semidirect
154. C43×#546C22semidirect
155. C43×#546C22semidirect
156. D42×C43C22semidirect
157. D42×C43C22semidirect
158. C43×#535C22semidirect
159. C43×#534C22semidirect
160. C43×#525C22semidirect
161. C2×#120×C43C22semidirect
162. C43×#518C22semidirect
166. C2×#10621902C23semidirect
168. C2×#10621898C23semidirect
169. C2×#10621898C23semidirect
172. C2×#10621900C23semidirect
173. C2×#10621900C23semidirect
174. C2×#10621900C23semidirect
176. C2×Q8×D43C23semidirect
186. C22×C22⋊D43C23semidirect
190. C2×D4×D43C23semidirect
191. C2×D4×D43C23semidirect
192. C2×D4×D43C23semidirect
202. C22×C4×D43C23semidirect
203. #13063325C23semidirect
204. #13063324C23semidirect
205. #13063321C23semidirect
206. #13063321C23semidirect
207. #13063321C23semidirect
208. #13063320C23semidirect
209. #13063318C23semidirect
210. #13063318C23semidirect
211. #13063318C23semidirect
212. #13063318C23semidirect
213. #13063318C23semidirect
214. #13063317C23semidirect
215. #13063316C23semidirect
216. #13063316C23semidirect
217. #13063315C23semidirect
218. #13063312C23semidirect
219. #13063312C23semidirect
220. #13063312C23semidirect
221. #13063311C23semidirect
222. #13063311C23semidirect
223. #13063311C23semidirect
224. #13063311C23semidirect
225. #13063310C23semidirect
226. #13063310C23semidirect
229. #13063309C23semidirect
230. #13063309C23semidirect
232. #13063308C23semidirect
233. #13063308C23semidirect
234. #13063307C23semidirect
235. #13063307C23semidirect
236. #13063307C23semidirect
237. #13063307C23semidirect
238. #13063307C23semidirect
239. #13063307C23semidirect
240. #13063307C23semidirect
243. #13063306C23semidirect
244. #13063306C23semidirect
245. #13063306C23semidirect
246. #13063306C23semidirect
247. #13063305C23semidirect
248. #13063305C23semidirect
249. #13063305C23semidirect
252. #13063304C23semidirect
253. #13063304C23semidirect
254. #13063304C23semidirect
255. #13063303C23semidirect
256. #13063303C23semidirect
261. #13063302C23semidirect
262. #13063302C23semidirect
263. #13063302C23semidirect
264. #13063301C23semidirect
265. #13063301C23semidirect
266. #13063301C23semidirect
267. #13063300C23semidirect
268. #13063300C23semidirect
271. #13063299C23semidirect
272. #13063299C23semidirect
273. #13063299C23semidirect
274. #13063298C23semidirect
275. #13063298C23semidirect
276. #13063298C23semidirect
277. #13063298C23semidirect
278. #13063298C23semidirect
279. #13063298C23semidirect
284. #13063297C23semidirect
285. #13063297C23semidirect
286. #13063297C23semidirect
287. #13063297C23semidirect
288. #13063297C23semidirect
289. #13063297C23semidirect
290. #13063297C23semidirect
291. #13063297C23semidirect
304. #13063296C23semidirect
305. #13063296C23semidirect
306. #13063296C23semidirect
307. #13063296C23semidirect
308. #13063296C23semidirect
309. #13063296C23semidirect
310. #13063296C23semidirect
311. #13063296C23semidirect
312. #13063296C23semidirect
316. #13063295C23semidirect
321. #13063294C23semidirect
322. #13063294C23semidirect
326. #13063293C23semidirect
327. #13063293C23semidirect
328. #13063293C23semidirect
329. #13063293C23semidirect
330. Q8×Dic43C23semidirect
331. C4×Dic86C23semidirect
332. C4×D172C23semidirect
333. C4×D172C23semidirect
334. C4×D172C23semidirect
339. D4×Dic43C23semidirect
340. D4×Dic43C23semidirect
341. D4×Dic43C23semidirect
342. D4×Dic43C23semidirect
343. D4×Dic43C23semidirect
344. #13063287C23semidirect
345. #13063287C23semidirect
348. C4×C22⋊D43C23semidirect
349. C4×C22⋊D43C23semidirect
350. C4×C22⋊D43C23semidirect
351. C4×C22⋊D43C23semidirect
352. C4×C22⋊D43C23semidirect
353. C4×C22⋊D43C23semidirect
358. (C22⋊D43)⋊C4C23semidirect
359. (C22⋊D43)⋊C4C23semidirect
360. (C22⋊D43)⋊C4C23semidirect
361. (C22⋊D43)⋊C4C23semidirect
363. #13063284C23semidirect
364. #13063284C23semidirect
365. #13063283C23semidirect
366. #13063283C23semidirect
367. #13063283C23semidirect
368. #13063282C23semidirect
371. #13063281C23semidirect
376. C2×C4⋊Dic43C23semidirect
377. C4⋊C4×D43C23semidirect
378. C4⋊C4×D43C23semidirect
379. C4⋊C4×D43C23semidirect
380. C4⋊C4×D43C23semidirect
381. C4⋊C4×D43C23semidirect
390. C2×C22⋊Dic43C23semidirect
394. C22⋊C4×D43C23semidirect
395. C22⋊C4×D43C23semidirect
396. C22⋊C4×D43C23semidirect
397. C42×D43C23semidirect
401. C2×#41×C43C23semidirect
411. C22×D4×C43C23semidirect
413. #127×C43C23semidirect
414. #124×C43C23semidirect
416. #123×C43C23semidirect
421. #121×C43C23semidirect
422. #121×C43C23semidirect
423. #121×C43C23semidirect
424. #121×C43C23semidirect
429. #120×C43C23semidirect
432. C4×D4×C43C23semidirect
433. C4×D4×C43C23semidirect
675. C22×D43H(5,𝔽2)semidirect
697. C2×C4×C43H(5,𝔽2)semidirect
826. #3484D43semidirect
843. C2×H(5,𝔽2)C2×D43semidirect
846. C23×D4C2×D43semidirect
892. #546C2×D43semidirect
893. #546C2×D43semidirect
902. D42C2×D43semidirect
903. D42C2×D43semidirect
927. #535C2×D43semidirect
934. #534C2×D43semidirect
953. #525C2×D43semidirect
970. C2×#120C2×D43semidirect
977. #518C2×D43semidirect
983. C43#62818semidirect
1000. C2×#41C22×D43semidirect
1027. C22×D4C22×D43semidirect
1044. #127C22×D43semidirect
1062. #124C22×D43semidirect
1086. #123C22×D43semidirect
1157. #121C22×D43semidirect
1158. #121C22×D43semidirect
1159. #121C22×D43semidirect
1160. #121C22×D43semidirect
1182. #120C22×D43semidirect
1217. C4×D4C22×D43semidirect
1218. C4×D4C22×D43semidirect
1572. C2×C4#13063370semidirect

Maximal subgroups

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

subgroupindex
#191489162
#191488972
#191488262
#191488152
#191487752
#191486242
#191486182
#191484222
#191483512
#191483272
#191483202
#191483012
#191482822
#191482622
#191482572
#191482302
#191482242
#525×D432
C22×#130632962
C43×#34842
#6281843