Finite Group Databasebeta

← #26005184

Subgroups — #26005184

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148519C211yesmaximal, characteristic, complemented
2#19148517C211yesmaximal, characteristic, complemented
3#19148515C211yesmaximal, characteristic, complemented
4#19148504C212yesmaximal, complemented
5#19148498C212yesmaximal, complemented
6#19148484C214yesmaximal, complemented
7#19148477C212yesmaximal, complemented
8#19148467C212yesmaximal, complemented
9#19148454C214yesmaximal, complemented
10#19148441C214yesmaximal, complemented
11#19148428C218yesmaximal, complemented
12#19148189C218yesmaximal, complemented
13#19148154C214yesmaximal, complemented
14#19148148C214yesmaximal, complemented
15#19147986C212yesmaximal, complemented
16#19147979C212yesmaximal, complemented
17#19147923C212yesmaximal, complemented
18#19147889C214yesmaximal, complemented
19C2×#14583455C211yesmaximal, characteristic, complemented
20#532×D43C211yesmaximal, characteristic, complemented
21#19147795C212yesmaximal, complemented
22C4×#41×D43C211yesmaximal, characteristic, complemented
23C43×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D43C2212yes—
25C2×#41×D43C2211yescharacteristic
26#14583633C2218yescomplemented
27#14583633C2218yescomplemented
28#14583632C2218yescomplemented
29#14583626C2218yescomplemented
30#14583620C2214yescomplemented
31#14583617C2214yescomplemented
32#14583617C2218yescomplemented
33#14583616C2218yescomplemented
34#14583616C2218yescomplemented
35#14583613C2214yescomplemented
36#14583612C2214yescomplemented
37#14583607C2214yescomplemented
38#14583604C2214yescomplemented
39#14583602C2214yescomplemented
40#14583599C2214yescomplemented
41#14583598C2218yescomplemented
42#14583598C2218yescomplemented
43#14583597C2218yescomplemented
44#14583595C2214yescomplemented
45#14583592C2218yescomplemented
46#14583592C2218yescomplemented
47#14583590C2214yescomplemented
48#14583589C2214yescomplemented
49#14583587C2214yescomplemented
50#14583585C2218yescomplemented
51#14583581C2218yescomplemented
52#14583578C2218yescomplemented
53#14583577C2218yescomplemented
54#14583574C2218yescomplemented
55#14583573C2218yescomplemented
56#14583567C2218yescomplemented
57#14583558C2218yescomplemented
58#14583555C2218yescomplemented
59#14583550C2214yescomplemented
60#14583549C2214yescomplemented
61#14583541C2218yescomplemented
62#14583538C2218yescomplemented
63#14583522C2214yescomplemented
64#14583521C2214yescomplemented
65#14583516C2214yescomplemented
66#14583514C2214yescomplemented
67#14583512C2212yescomplemented
68#14583511C2212yescomplemented
69#14583510C2212yescomplemented
70#14583505C2212yescomplemented
71#14583504C2212yescomplemented
72#14583503C2212yescomplemented
73#14583497C2218yescomplemented
74#14583492C2218yescomplemented
75#14583488C2218yescomplemented
76#14583481C2218yescomplemented
77#14583480C2212yescomplemented
78#14583477C2212yescomplemented
79#14583477C2212yescomplemented
80#14583472C2214yes—
81#14583472C2214yescomplemented
82#14583465C2214yes—
83#14583465C2214yescomplemented
84#14583457C2218yes—
85#14583455C2212yescomplemented
86#14583455C2214yescomplemented
87#14583455C2214yescomplemented
88#14583455C2212yescomplemented
89#14583455C2212yescomplemented
90#14583455C2212yescomplemented
91#14583453C2214yescomplemented
92#14583451C2214yescomplemented
93#14583450C2211yescharacteristic
94#14583449C2211yescharacteristic, complemented
95#14583448C2212yes—
96#14583447C2211yescharacteristic
97#14583446C2214yes—
98#14583446C2214yescomplemented
99#14583445C2212yescomplemented
100#14583444C2214yescomplemented
101#14583444C2214yescomplemented
102#14583444C2218yescomplemented
103C2×#13063324C2212yescomplemented
104C4⋊Q8×D43C2211yescharacteristic, complemented
105#127×D43C2211yescharacteristic, complemented
106#14583434C2214yescomplemented
107#14583434C2218yescomplemented
108#14583433C2214yescomplemented
109#14583432C2218yescomplemented
110#14583432C2218yescomplemented
111#14583432C2218yescomplemented
112#14583430C2218yescomplemented
113#14583428C2214yescomplemented
114#14583427C2218yescomplemented
115#14583426C2218yescomplemented
116#14583426C2218yescomplemented
117C2×#13063317C2211yescharacteristic, complemented
118#124×D43C2212yescomplemented
119#14583412C2214yes—
120#14583412C2214yescomplemented
121#14583409C2214yes—
122#14583409C2214yescomplemented
123#14583408C2218yescomplemented
124#14583407C2218yescomplemented
125C2×#13063303C2214yes—
126#121×D43C2214yes—
127#14583382C2212yescomplemented
128#14583380C2214yescomplemented
129#14583380C2212yescomplemented
130#14583379C2214yescomplemented
131#14583379C2212yescomplemented
132#14583375C2214yescomplemented
133#14583371C2218yes—
134#14583371C2214yescomplemented
135#41×Dic43C2211yescharacteristic, complemented
136C4×#10621902C2212yes—
137C4×#10621902C2214yescomplemented
138C4×#10621898C2212yes—
139C4×#10621898C2211yescharacteristic, complemented
140#14583367C2212yes—
141#14583367C2218yescomplemented
142#14583367C2211yescharacteristic, complemented
143C4×#10621900C2212yes—
144C4×#10621900C2214yescomplemented
145C4×#10621900C2218yescomplemented
146C4×#10621900C2218yescomplemented
147C4×#10621900C2214yescomplemented
148C2×#13063290C2214yescomplemented
149C4×Q8×D43C2212yescomplemented
150C4×D4×D43C2214yes—
151C4×D4×D43C2214yescomplemented
152C4×D4×D43C2212yescomplemented
153C2×#13063283C2212yes—
154C2×#13063283C2214yescomplemented
155#117×D43C2211yescharacteristic
156#117×D43C2214yescomplemented
157#117×D43C2212yescomplemented
158C2×C42×D43C2211yescharacteristic
159C2×C42×D43C2212yescomplemented
160C43×#553C2214yescomplemented
161C43×#553C2218yescomplemented
162C43×#552C2214yescomplemented
163C43×#541C2212yescomplemented
164C43×#540C2212yescomplemented
165C43×#537C2212yescomplemented
166C43×#532C2211yescharacteristic, complemented
167C43×#529C2214yescomplemented
168C2×#125×C43C2211yescharacteristic, complemented
169C43×#520C2212yescomplemented
170C4×#41×C43C2211yescharacteristic, complemented
171C2×#10621902C2311yescharacteristic
172C2×#10621902C2312yes—
173C2×#10621898C2312yes—
174C2×#10621898C2311yescharacteristic
175C2×#10621898C2312yes—
176C2×#10621898C2314yes—
177C2×#10621898C2318yes—
178C2×#10621900C2311yescharacteristic
179C2×#10621900C2312yes—
180C2×#10621900C2314yes—
181C2×#10621900C2312yes—
182C2×#10621900C2318yes—
183#41×D43—216no—
184#41×D43—28no—
185C22×Dic86C2314yes—
186C2×Q8×D43C2311yescharacteristic
187C2×Q8×D43C2312yes—
188C2×D4×D43C2312yes—
189C2×D4×D43C2311yescharacteristic
190C2×D4×D43C2314yes—
191C2×D4×D43C2312yes—
192C2×D4×D43C2314yes—
193C22×C4×D43C2312yes—
194C22×C4×D43C2314yes—
195C22×C4×D43C2312yes—
196C22×C4×D43C2314yes—
197C22×C4×D43C2311yescharacteristic
198#13063325C2311yescharacteristic
199#13063324C2314yes—
200#13063324C2314yes—
201#13063324C2318yes—
202#13063324C2314yes—
203#13063324C2314yes—
204#13063324C2314yes—
205#13063323C2312yes—
206#13063322C2311yescharacteristic
207#13063321C2318yes—
208#13063321C2314yes—
209#13063321C2312yes—
210#13063320C2318yes—
211#13063320C2318yes—
212#13063320C2318yes—
213#13063320C2318yes—
214#13063319C2318yes—
215#13063319C2318yes—
216#13063318C2318yes—
217#13063318C2318yes—
218#13063318C2318yes—
219#13063318C2318yes—
220#13063317C2314yes—
221#13063317C2312yes—
222#13063317C2312yes—
223#13063316C2318yes—
224#13063315C2318yes—
225#13063315C2318yes—
226#13063315C2318yes—
227#13063315C2318yes—
228#13063314C2312yes—
229#13063313C2318yes—
230#13063313C2312yes—
231#13063312C2318yes—
232#13063312C2312yes—
233#13063311C2318yes—
234#13063311C2318yes—
235#13063311C2318yes—
236#13063311C2318yes—
237#13063311C2314yes—
238#13063311C2318yes—
239#13063311C2318yes—
240#13063311C2314yes—
241#13063310C2318yes—
242#13063310C2318yes—
243#13063310C2318yes—
244#13063310C2318yes—
245#13063310C2318yes—
246#13063310C2318yes—
247#13063308C2318yes—
248#13063308C2318yes—
249#13063307C2318yes—
250#13063307C2318yes—
251#13063307C2318yes—
252#13063307C2318yes—
253#13063306C2318yes—
254#13063306C2318yes—
255#13063305C2318yes—
256#13063305C2314yes—
257#13063305C2314yes—
258#13063304C2318yes—
259#13063304C2314yes—
260#13063304C2314yes—
261#13063303C2318yes—
262#13063303C2318yes—
263#13063303C2318yes—
264#13063303C2318yes—
265#13063303C2318yes—
266#13063303C2318yes—
267#13063302C2318yes—
268#13063302C2318yes—
269#13063301C2314yes—
270#13063301C2314yes—
271#13063300C2318yes—
272#13063300C2314yes—
273#13063300C2314yes—
274#13063300C2314yes—
275#13063299C2318yes—
276#13063299C2314yes—
277#13063299C2314yes—
278#13063299C2314yes—
279#13063298C2318yes—
280#13063298C2318yes—
281#13063298C2314yes—
282#13063298C2314yes—
283#13063297C2314yes—
284#13063297C2318yes—
285#13063297C2314yes—
286#13063297C2318yes—
287#13063297C2318yes—
288#13063297C2318yes—
289#13063296C2314yes—
290#13063296C2314yes—
291#13063296C2314yes—
292#13063295C2318yes—
293#13063295C2318yes—
294#13063293C2318yes—
295#13063293C2318yes—
296Q8×Dic43C2312yes—
297Q8×Dic43C2314yes—
298C4×Dic86C2318yes—
299C4×Dic86C2312yes—
300C4×Dic86C2314yes—
301C4×Dic86C2318yes—
302C4×Dic86C2314yes—
303#13063290C2318yes—
304#13063290C2318yes—
305#13063290C2312yes—
306#13063290C2318yes—
307#13063290C2318yes—
308#13063290C2314yes—
309#13063290C2318yes—
310#13063290C2318yes—
311#13063290C2314yes—
312C4×D172C2314yes—
313C4×D172C2314yes—
314C4×D172C2312yes—
315C4×D172C2318yes—
316C4×D172C2314yes—
317D4×Dic43C2314yes—
318D4×Dic43C2318yes—
319D4×Dic43C2312yes—
320D4×Dic43C2314yes—
321D4×Dic43C2314yes—
322D4×Dic43C2318yes—
323#13063287C2318yes—
324#13063287C2314yes—
325#13063287C2312yes—
326#13063287C2314yes—
327#13063287C2318yes—
328#13063287C2318yes—
329#13063287C2314yes—
330C4×C22⋊D43C2318yes—
331C4×C22⋊D43C2318yes—
332C4×C22⋊D43C2314yes—
333C4×C22⋊D43C2318yes—
334C4×C22⋊D43C2314yes—
335C4×C22⋊D43C2318yes—
336C4×C22⋊D43C2314yes—
337C4×C22⋊D43C2314yes—
338C4×C22⋊D43C2314yes—
339C4×C22⋊D43C2318yes—
340(C22⋊D43)⋊C4C2314yes—
341(C22⋊D43)⋊C4C2318yes—
342(C22⋊D43)⋊C4C2314yes—
343(C22⋊D43)⋊C4C2318yes—
344(C22⋊D43)⋊C4C2318yes—
345(C22⋊D43)⋊C4C2314yes—
346(C22⋊D43)⋊C4C2318yes—
347(C22⋊D43)⋊C4C2314yes—
348(C22⋊D43)⋊C4C2314yes—
349(C22⋊D43)⋊C4C2318yes—
350(C22⋊D43)⋊C4C2318yes—
351(C22⋊D43)⋊C4C2318yes—
352#13063284C2314yes—
353#13063284C2311yescharacteristic
354#13063284C2312yes—
355#13063283C2318yes—
356#13063283C2318yes—
357#13063283C2314yes—
358#13063283C2314yes—
359#13063283C2312yes—
360#13063283C2314yes—
361#13063283C2314yes—
362#13063283C2314yes—
363#13063283C2314yes—
364#13063283C2314yes—
365#13063283C2318yes—
366#13063282C2318yes—
367#13063282C2318yes—
368#13063282C2318yes—
369#13063282C2312yes—
370#13063282C2312yes—
371#13063282C2312yes—
372#13063281C2318yes—
373#13063281C2318yes—
374#13063281C2312yes—
375#13063281C2314yes—
376#13063281C2318yes—
377C2×C4⋊Dic43C2314yes—
378C2×C4⋊Dic43C2312yes—
379C2×Dic43⋊C4C2314yes—
380C2×Dic43⋊C4C2314yes—
381C4⋊C4×D43C2314yes—
382C4⋊C4×D43C2314yes—
383C4⋊C4×D43C2314yes—
384C4⋊C4×D43C2312yes—
385C4⋊C4×D43C2314yes—
386C2×(C2×D43)⋊C4C2318yes—
387C2×(C2×D43)⋊C4C2314yes—
388C22⋊C4×D43C2314yes—
389C22⋊C4×D43C2314yes—
390C22⋊C4×D43C2318yes—
391C22⋊C4×D43C2312yes—
392C22⋊C4×D43C2314yes—
393C2×C4×Dic43C2312yes—
394C2×C4×Dic43C2311yescharacteristic
395C2×C4×Dic43C2314yes—
396C2×C4×Dic43C2312yes—
397C2×C4×Dic43C2314yes—
398C2×C4×Dic43C2318yes—
399C42×D43C2311yescharacteristic
400C42×D43C2311yescharacteristic
401C42×D43C2312yes—
402C42×D43C2312yes—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C42×D43C2312yes—
406C42×D43C2314yes—
407C42×D43C2314yes—
408C42×D43C2312yes—
409C42×D43C2312yes—
410C42×D43C2318yes—
411C2×#41×C43C2311yescharacteristic
412C2×#41×C43C2312yes—
413C4⋊Q8×C43C2311yescharacteristic
414#127×C43C2311yescharacteristic
415#126×C43C2318yes—
416#126×C43C2318yes—
417#125×C43C2318yes—
418#125×C43C2312yes—
419#125×C43C2314yes—
420#125×C43C2312yes—
421#124×C43C2312yes—
422#123×C43C2318yes—
423#123×C43C2318yes—
424C22⋊Q8×C43C2314yes—
425C22⋊Q8×C43C2314yes—
426#121×C43C2318yes—
427#121×C43C2318yes—
428#121×C43C2314yes—
429#121×C43C2314yes—
430#121×C43C2314yes—
431C4×Q8×C43C2312yes—
432C4×Q8×C43C2314yes—
433C4×D4×C43C2318yes—
434C4×D4×C43C2314yes—
435C4×D4×C43C2312yes—
436C4×D4×C43C2314yes—
437C4×D4×C43C2318yes—
438C4×D4×C43C2314yes—
439#117×C43C2311yescharacteristic
440#117×C43C2312yes—
441#117×C43C2318yes—
442#117×C43C2314yes—
443C2×C4⋊C4×C43C2312yes—
444C2×C4⋊C4×C43C2314yes—
445C2×C4⋊C4×C43C2314yes—
446C2×C42×C43C2311yescharacteristic
447C2×C42×C43C2312yes—
448C23×D43C2414yes—
449C23×D43C2412yes—
450C23×D43C2411yescharacteristic
451#41×C43—24no—
452#41×C43—28no—
453C2×Q8×C43C2411yescharacteristic
454C2×Q8×C43C2412yes—
455C2×D4×C43C2411yescharacteristic
456C2×D4×C43C2414yes—
457C2×D4×C43C2412yes—
458C2×D4×C43C2412yes—
459C2×D4×C43C2418yes—
460C2×D4×C43C2414yes—
461C22×C4×C43C2412yes—
462C22×C4×C43C2414yes—
463C22×C4×C43C2412yes—
464C22×C4×C43C2414yes—
465C22×C4×C43C2414yes—
466C22×C4×C43C2418yes—
467C22×C4×C43C2411yescharacteristic
468C2×C22⋊D43C2414yes—
469C2×C22⋊D43C2412yes—
470C2×C22⋊D43C2414yes—
471C2×C22⋊D43C2412yes—
472C2×C22⋊D43C2414yes—
473C2×C22⋊D43C2412yes—
474C2×C22⋊D43C2414yes—
475C2×C22⋊D43C2414yes—
476C2×C22⋊D43C2418yes—
477C2×C22⋊D43C2418yes—
478C22×Dic43C2412yes—
479C22×Dic43C2412yes—
480C22×Dic43C2414yes—
481C22×Dic43C2414yes—
482C22×Dic43C2414yes—
483C22×Dic43C2418yes—
484C22×Dic43C2411yescharacteristic
485#10621902—24no—
486#10621902—28no—
487Q8×D43—24no—
488Q8×D43—28no—
489#10621900—216no—
490#10621900—28no—
491#10621900—24no—
492#10621900—28no—
493#10621900—416no—
494D4×D43—24no—
495D4×D43—28no—
496D4×D43—28no—
497D4×D43—216no—
498D4×D43—48no—
499#10621898—24no—
500#10621898—28no—
501#10621898—216no—
502#10621898—28no—
503#10621898—416no—
504C2×D172C2412yes—
505C2×D172C2414yes—
506C2×D172C2411yescharacteristic
507C2×D172C2412yes—
508C2×D172C2418yes—
509C2×D172C2414yes—
510C2×C4×D43—28no—
511C2×C4×D43—216no—
512C2×C4×D43—48no—
513C2×C4×D43—44no—
514C2×C4×D43#4118yescomplemented
515C2×C4×D43C2412yes—
516C2×C4×D43C2412yes—
517C2×C4×D43C2412yes—
518C2×C4×D43C2414yes—
519C2×C4×D43C2412yes—
520C2×C4×D43C2412yes—
521C2×C4×D43C2414yes—
522C2×C4×D43C2414yes—
523C2×C4×D43C2414yes—
524C2×C4×D43C2412yes—
525C2×C4×D43C2414yes—
526C2×C4×D43C2412yes—
527C2×C4×D43C2414yes—
528C2×C4×D43C2418yes—
529C2×C4×D43C2418yes—
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×C4×D43C2411yescharacteristic
534C2×Dic86—48no—
535C2×Dic86C2418yes—
536C2×Dic86C2411yescharacteristic
537C2×Dic86C2412yes—
538C2×Dic86C2414yes—
539C2×Dic86C2412yes—
540C2×Dic86C2418yes—
541C4⋊C4×C43C2412yes—
542C4⋊C4×C43C2414yes—
543C4⋊C4×C43C2418yes—
544C4⋊C4×C43C2414yes—
545C4⋊C4×C43C2418yes—
546C4⋊C4×C43C2418yes—
547C4⋊C4×C43C2414yes—
548C4⋊C4×C43C2418yes—
549C4⋊C4×C43C2414yes—
550C22⋊C4×C43C2414yes—
551C22⋊C4×C43C2412yes—
552C22⋊C4×C43C2414yes—
553C22⋊C4×C43C2418yes—
554C22⋊C4×C43C2418yes—
555C22⋊C4×C43C2414yes—
556C22⋊C4×C43C2418yes—
557C42×C43C2411yescharacteristic
558C42×C43C2412yes—
559C42×C43C2414yes—
560C42×C43C2411yescharacteristic
561C42×C43C2412yes—
562C42×C43C2418yes—
563C22⋊Dic43C2412yes—
564C22⋊Dic43C2418yes—
565C22⋊Dic43C2414yes—
566C22⋊Dic43C2414yes—
567C22⋊Dic43C2414yes—
568C22⋊Dic43C2418yes—
569C22⋊Dic43C2418yes—
570(C2×D43)⋊C4C2414yes—
571(C2×D43)⋊C4C2418yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2414yes—
574(C2×D43)⋊C4C2414yes—
575(C2×D43)⋊C4C2414yes—
576(C2×D43)⋊C4C2414yes—
577(C2×D43)⋊C4C2414yes—
578(C2×D43)⋊C4C2418yes—
579(C2×D43)⋊C4C2418yes—
580(C2×D43)⋊C4C2418yes—
581(C2×D43)⋊C4C2418yes—
582(C2×D43)⋊C4C2418yes—
583(C2×D43)⋊C4C2418yes—
584(C2×D43)⋊C4C2418yes—
585C4⋊Dic43C2412yes—
586C4⋊Dic43C2414yes—
587C4⋊Dic43C2414yes—
588C4⋊Dic43C2414yes—
589C4⋊Dic43C2414yes—
590C4⋊Dic43C2418yes—
591C4⋊Dic43C2418yes—
592Dic43⋊C4C2414yes—
593Dic43⋊C4C2414yes—
594Dic43⋊C4C2418yes—
595Dic43⋊C4C2414yes—
596Dic43⋊C4C2414yes—
597Dic43⋊C4C2418yes—
598Dic43⋊C4C2414yes—
599Dic43⋊C4C2418yes—
600Dic43⋊C4C2418yes—
601Dic43⋊C4C2418yes—
602Dic43⋊C4C2418yes—
603Dic43⋊C4C2418yes—
604Dic43⋊C4C2418yes—
605C4×Dic43C2414yes—
606C4×Dic43C2412yes—
607C4×Dic43C2411yescharacteristic
608C4×Dic43C2414yes—
609C4×Dic43C2412yes—
610C4×Dic43C2412yes—
611C4×Dic43C2411yescharacteristic
612C4×Dic43C2414yes—
613C4×Dic43C2414yes—
614C4×Dic43C2412yes—
615C4×Dic43C2412yes—
616C4×Dic43C2412yes—
617C4×Dic43C2418yes—
618C4×Dic43C2418yes—
619C4×Dic43C2418yes—
620C4×Dic43C2418yes—
621C4×Dic43C2418yes—
622C23×C43C2512yes—
623C23×C43C2514yes—
624C23×C43C2511yescharacteristic
625C22×D43—24no—
626C22×D43—28no—
627C22×D43—42no—
628C22×D43—44no—
629C22×D43—44no—
630C22×D43—44no—
631C22×D43C2×#4114yes—
632C22×D43C2512yes—
633C22×D43C2514yes—
634C22×D43C2511yescharacteristic
635C22×D43C2511yescharacteristic
636Q8×C43—24no—
637Q8×C43—22no—
638D4×C43—24no—
639D4×C43—28no—
640D4×C43—24no—
641D4×C43—22no—
642D4×C43—44no—
643D4×C43—48no—
644C2×C4×C43—24no—
645C2×C4×C43—28no—
646C2×C4×C43—44no—
647C2×C4×C43—44no—
648C2×C4×C43—42no—
649C2×C4×C43—48no—
650C2×C4×C43C2×#4114yes—
651C2×C4×C43C2514yes—
652C2×C4×C43C2512yes—
653C2×C4×C43C2518yes—
654C2×C4×C43C2512yes—
655C2×C4×C43C2512yes—
656C2×C4×C43C2514yes—
657C2×C4×C43C2511yescharacteristic
658C2×C4×C43C2511yescharacteristic
659C22⋊D43—24no—
660C22⋊D43—28no—
661C22⋊D43—24no—
662C22⋊D43—28no—
663C22⋊D43—24no—
664C22⋊D43—28no—
665C22⋊D43—28no—
666C22⋊D43—28no—
667C22⋊D43—48no—
668C22⋊D43—48no—
669C2×Dic43—24no—
670C2×Dic43—28no—
671C2×Dic43—24no—
672C2×Dic43—28no—
673C2×Dic43—44no—
674C2×Dic43—48no—
675C2×Dic43C2×#4114yes—
676C2×Dic43C2514yes—
677C2×Dic43C2518yes—
678C2×Dic43C2512yes—
679C2×Dic43C2514yes—
680C2×Dic43C2512yes—
681C2×Dic43C2511yescharacteristic
682C2×Dic43C2511yescharacteristic
683C2×Dic43C2512yes—
684D172—24no—
685D172—28no—
686D172—24no—
687D172—22no—
688D172—48no—
689D172—44no—
690C4×D43—28no—
691C4×D43—24no—
692C4×D43—24no—
693C4×D43—28no—
694C4×D43—24no—
695C4×D43—28no—
696C4×D43—24no—
697C4×D43—28no—
698C4×D43—24no—
699C4×D43—42no—
700C4×D43—42no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—48no—
704C4×D43—48no—
705C4×D43C2×#4114yes—
706C4×D43C2×#4114yes—
707C4×D43C2×#4114yes—
708C4×D43C2×#4114yes—
709Dic86—24no—
710Dic86—22no—
711Dic86—28no—
712Dic86—24no—
713Dic86—216no—
714Dic86—48no—
715#62815—431nomaximal, Sylow
716C22×C43—22no—
717C22×C43—22no—
718C22×C43—24no—
719C22×C43—24no—
720C22×C43—24no—
721C22×C43—24no—
722C22×C43C22×#4112yes—
723C22×C43C2611yescharacteristic
724C2×D43—22no—
725C2×D43—22no—
726C2×D43—22no—
727C2×D43—24no—
728C2×D43—24no—
729C2×D43—24no—
730C2×D43—24no—
731C2×D43—44no—
732C2×D43—48no—
733C2×D43—88no—
734C2×D43C22×#4112yes—
735C2×D43C22×#4112yes—
736C4×C43—24no—
737C4×C43—22no—
738C4×C43—28no—
739C4×C43—22no—
740C4×C43—24no—
741C4×C43—22no—
742C4×C43C22×#4112yes—
743C4×C43C22×#4112yes—
744Dic43—24no—
745Dic43—22no—
746Dic43—28no—
747Dic43—22no—
748Dic43—24no—
749Dic43C22×#4112yes—
750Dic43C22×#4112yes—
751Dic43#58514yes—
752#3512—431no—
753#3512—431no—
754#3512—431no—
755#3512D4311yescharacteristic, complemented
756#3511—432no—
757#3511—432no—
758#3510—434no—
759#3509—432no—
760#3508—432no—
761#3507—434no—
762#3506—434no—
763#3505—438no—
764#3480—438no—
765#3475—434no—
766#3475—434no—
767#3455—432no—
768#3455—432no—
769#3449—432no—
770#3444—434no—
771C2×#533—431no—
772C2×#532—431no—
773#3428—432no—
774C2×C4×#41—431no—
775C2×C43—22no—
776C2×C43—42no—
777C2×C43—44no—
778C2×C43C23×#4111yescharacteristic
779C2×C43C2×#58512yes—
780D43—22no—
781D43—22no—
782D43—42no—
783D43—44no—
784C22×#41—431no—
785C22×#41—432no—
786#559—438no—
787#559—438no—
788#559—438no—
789#557—438no—
790#556—438no—
791#556—438no—
792#556—434no—
793#556—434no—
794#556—438no—
795#555—434no—
796#555—434no—
797#554—434no—
798#554—434no—
799#553—434no—
800#553—438no—
801#553—438no—
802#553—434no—
803#553—438no—
804#553—438no—
805#553—434no—
806#553—438no—
807#553C2×D4314yescomplemented
808#553C2×D4318yescomplemented
809#552—438no—
810#552—438no—
811#552—434no—
812#552—434no—
813#552—434no—
814#552C2×D4314yescomplemented
815#551—438no—
816#551—438no—
817#551—438no—
818#551—438no—
819#550—438no—
820#548—438no—
821#548—438no—
822#547—434no—
823#547—434no—
824#546—438no—
825#546—438no—
826#542—434no—
827#542—434no—
828#542—434no—
829#542—434no—
830#541—432no—
831#541—432no—
832#541—432no—
833#541C2×D4312yescomplemented
834#540—432no—
835#540—432no—
836#540—432no—
837#540C2×D4312yescomplemented
838#539—438no—
839#539—438no—
840#538—438no—
841#538—438no—
842#537—432no—
843#537—432no—
844#537—432no—
845#537C2×D4312yescomplemented
846#536—434no—
847#536—434no—
848#535—434no—
849#535—434no—
850#534—438no—
851#533—432no—
852#533—432no—
853#533—434no—
854#533—434no—
855#533—432no—
856#533—432no—
857#533—434no—
858#533—434no—
859#532—432no—
860#532—431no—
861#532—431no—
862#532—432no—
863#532—434no—
864#532—434no—
865#532—438no—
866#532—434no—
867#532—434no—
868#532—431no—
869#532C2×D4311yescharacteristic, complemented
870C2×C4⋊Q8—431no—
871C2×C4⋊Q8—432no—
872C2×#127—431no—
873#529—438no—
874#529—438no—
875#529—438no—
876#529—434no—
877#529—438no—
878#529—434no—
879#529—438no—
880#529—438no—
881#529—438no—
882#529—438no—
883#529—434no—
884#529C2×D4314yescomplemented
885C2×#125—431no—
886C2×#125C2×D4311yescharacteristic, complemented
887C2×#124—432no—
888#525—438no—
889#525—434no—
890#525—434no—
891#525—434no—
892#525—434no—
893#525—438no—
894C2×C22⋊Q8—434no—
895C2×#121—434no—
896#520—432no—
897#520—434no—
898#520—432no—
899#520—434no—
900#520—432no—
901#520C2×D4312yescomplemented
902#519—434no—
903#518—438no—
904#518—434no—
905C4×#41—431no—
906C4×#41—432no—
907C4×#41—434no—
908C4×#41—432no—
909C4×#41—434no—
910C4×#41—434no—
911C4×#41—438no—
912C4×#41—438no—
913C4×#41—432no—
914C4×#41—431no—
915C4×#41—438no—
916C4×#41—432no—
917C4×#41—431no—
918C4×#41C2×D4311yescharacteristic, complemented
919C2×C4×Q8—432no—
920C2×C4×Q8—434no—
921C2×C4×D4—434no—
922C2×C4×D4—432no—
923C2×C4×D4—434no—
924C2×#117—431no—
925C2×#117—432no—
926C2×#117—434no—
927C2×#117—432no—
928C2×#117—434no—
929C22×C42—431no—
930C22×C42—432no—
931C43#6281511yescharacteristic, complemented, Sylow
932C2×#41—431no—
933C2×#41—432no—
934C2×#41—431no—
935C2×#41—432no—
936C2×#41—432no—
937C2×#41—434no—
938C2×#41—438no—
939C2×#41—432no—
940C2×#41—431no—
941C2×#41—434no—
942C2×#41—432no—
943C2×#41—438no—
944C2×#41—868no—
945C2×#41—8616no—
946C2×#41C22×D4311yescharacteristic
947C2×#41C22×D4312yes—
948C22×Q8—431no—
949C22×Q8—432no—
950C22×Q8—434no—
951C22×D4—432no—
952C22×D4—431no—
953C22×D4—434no—
954C22×D4—432no—
955C22×D4—434no—
956C23×C4—431no—
957C23×C4—434no—
958C23×C4—432no—
959C23×C4—432no—
960C23×C4—434no—
961C4⋊Q8—432no—
962C4⋊Q8—434no—
963C4⋊Q8—434no—
964C4⋊Q8—434no—
965C4⋊Q8—434no—
966C4⋊Q8—434no—
967C4⋊Q8—438no—
968C4⋊Q8—431no—
969C4⋊Q8C22×D4311yescharacteristic
970#127—432no—
971#127—434no—
972#127—438no—
973#127—431no—
974#127C22×D4311yescharacteristic
975#126—438no—
976#126—438no—
977#126—438no—
978#126—438no—
979#126—438no—
980#126—438no—
981#126—438no—
982#126—438no—
983#126—438no—
984#126—438no—
985#126C22×D4318yes—
986#126C22×D4318yes—
987#125—438no—
988#125—438no—
989#125—438no—
990#125—438no—
991#125—438no—
992#125—432no—
993#125—432no—
994#125—434no—
995#125C22×D4312yes—
996#125C22×D4312yes—
997#125C22×D4314yes—
998#125C22×D4318yes—
999#124—432no—
1000#124—432no—
1001#124—438no—
1002#124—434no—
1003#124—434no—
1004#124—438no—
1005#124—438no—
1006#124—438no—
1007#124—438no—
1008#124—438no—
1009#124—438no—
1010#124—432no—
1011#124—438no—
1012#124C22×D4312yes—
1013#123—438no—
1014#123—438no—
1015#123—438no—
1016#123—438no—
1017#123—438no—
1018#123—438no—
1019#123—438no—
1020#123—438no—
1021#123—438no—
1022#123—438no—
1023#123—438no—
1024#123—438no—
1025#123—438no—
1026#123—438no—
1027#123C22×D4318yes—
1028#123C22×D4318yes—
1029C22⋊Q8—434no—
1030C22⋊Q8—434no—
1031C22⋊Q8—434no—
1032C22⋊Q8—434no—
1033C22⋊Q8—438no—
1034C22⋊Q8—438no—
1035C22⋊Q8—438no—
1036C22⋊Q8—438no—
1037C22⋊Q8—438no—
1038C22⋊Q8—434no—
1039C22⋊Q8—438no—
1040C22⋊Q8—434no—
1041C22⋊Q8—438no—
1042C22⋊Q8—438no—
1043C22⋊Q8—438no—
1044C22⋊Q8—438no—
1045C22⋊Q8C22×D4314yes—
1046C22⋊Q8C22×D4314yes—
1047#121—434no—
1048#121—434no—
1049#121—434no—
1050#121—434no—
1051#121—438no—
1052#121—434no—
1053#121—438no—
1054#121—438no—
1055#121—438no—
1056#121—434no—
1057#121—434no—
1058#121—434no—
1059#121—438no—
1060#121—434no—
1061#121—434no—
1062#121—434no—
1063#121—438no—
1064#121—434no—
1065#121—434no—
1066#121—438no—
1067#121—438no—
1068#121C22×D4314yes—
1069#121C22×D4314yes—
1070#121C22×D4314yes—
1071#121C22×D4318yes—
1072#121C22×D4318yes—
1073#120—438no—
1074#120—438no—
1075#120—438no—
1076#120—438no—
1077C4×Q8—432no—
1078C4×Q8—434no—
1079C4×Q8—438no—
1080C4×Q8—432no—
1081C4×Q8—434no—
1082C4×Q8—438no—
1083C4×Q8—438no—
1084C4×Q8—438no—
1085C4×Q8—434no—
1086C4×Q8—438no—
1087C4×Q8—438no—
1088C4×Q8—432no—
1089C4×Q8—434no—
1090C4×Q8—434no—
1091C4×Q8—438no—
1092C4×Q8—438no—
1093C4×Q8C22×D4312yes—
1094C4×Q8C22×D4314yes—
1095C4×D4—432no—
1096C4×D4—434no—
1097C4×D4—434no—
1098C4×D4—434no—
1099C4×D4—438no—
1100C4×D4—438no—
1101C4×D4—434no—
1102C4×D4—434no—
1103C4×D4—434no—
1104C4×D4—434no—
1105C4×D4—434no—
1106C4×D4—438no—
1107C4×D4—438no—
1108C4×D4—438no—
1109C4×D4—438no—
1110C4×D4—438no—
1111C4×D4—434no—
1112C4×D4—432no—
1113C4×D4—434no—
1114C4×D4—438no—
1115C4×D4—434no—
1116C4×D4—438no—
1117C4×D4—438no—
1118C4×D4—434no—
1119C4×D4—434no—
1120C4×D4—434no—
1121C4×D4—434no—
1122C4×D4—434no—
1123C4×D4—438no—
1124C4×D4—438no—
1125C4×D4—438no—
1126C4×D4—438no—
1127C4×D4—438no—
1128C4×D4—438no—
1129C4×D4—438no—
1130C4×D4—434no—
1131C4×D4—432no—
1132C4×D4—434no—
1133C4×D4—438no—
1134C4×D4—434no—
1135C4×D4C22×D4314yes—
1136C4×D4C22×D4312yes—
1137C4×D4C22×D4314yes—
1138C4×D4C22×D4314yes—
1139C4×D4C22×D4318yes—
1140C4×D4C22×D4318yes—
1141#117—431no—
1142#117—432no—
1143#117—434no—
1144#117—432no—
1145#117—434no—
1146#117—434no—
1147#117—434no—
1148#117—438no—
1149#117—434no—
1150#117—438no—
1151#117—434no—
1152#117—434no—
1153#117—434no—
1154#117—438no—
1155#117—432no—
1156#117—438no—
1157#117—434no—
1158#117—438no—
1159#117—438no—
1160#117—432no—
1161#117—432no—
1162#117—432no—
1163#117—438no—
1164#117—438no—
1165#117—438no—
1166#117C22×D4311yescharacteristic
1167#117C22×D4312yes—
1168#117C22×D4314yes—
1169#117C22×D4318yes—
1170C2×C4⋊C4—432no—
1171C2×C4⋊C4—434no—
1172C2×C4⋊C4—434no—
1173C2×C4⋊C4—434no—
1174C2×C4⋊C4—432no—
1175C2×C4⋊C4—434no—
1176C2×C4⋊C4—434no—
1177C2×C4⋊C4—434no—
1178C2×C4⋊C4—434no—
1179C2×C4⋊C4C22×D4312yes—
1180C2×C4⋊C4C22×D4314yes—
1181C2×C4⋊C4C22×D4314yes—
1182C2×C22⋊C4—434no—
1183C2×C22⋊C4—438no—
1184C2×C22⋊C4—432no—
1185C2×C22⋊C4—434no—
1186C2×C22⋊C4—438no—
1187C2×C22⋊C4—434no—
1188C2×C22⋊C4—434no—
1189C2×C42—434no—
1190C2×C42—438no—
1191C2×C42—432no—
1192C2×C42—434no—
1193C2×C42—431no—
1194C2×C42—432no—
1195C2×C42—432no—
1196C2×C42—431no—
1197C2×C42—438no—
1198C2×C42—432no—
1199C2×C42—434no—
1200C2×C42—432no—
1201C2×C42—434no—
1202C2×C42—431no—
1203C2×C42—432no—
1204C2×C42—431no—
1205C2×C42—432no—
1206C2×C42—431no—
1207C2×C42C22×D4311yescharacteristic
1208C2×C42C22×D4312yes—
1209C24—431no—
1210C24—434no—
1211C24—432no—
1212#41—24no—
1213#41—28no—
1214#41—868no—
1215#41—8616no—
1216#41—868no—
1217#41—8616no—
1218#41—864no—
1219#41—868no—
1220#41—864no—
1221#41—868no—
1222#41—864no—
1223#41—868no—
1224#41—17216no—
1225#41—17216no—
1226C2×Q8—431no—
1227C2×Q8—438no—
1228C2×Q8—432no—
1229C2×Q8—432no—
1230C2×Q8—434no—
1231C2×Q8—438no—
1232C2×Q8—868no—
1233C2×Q8—864no—
1234C2×Q8—1728no—
1235C2×Q8C23×D4311yescharacteristic
1236C2×Q8C23×D4312yes—
1237C2×D4—432no—
1238C2×D4—434no—
1239C2×D4—432no—
1240C2×D4—434no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—432no—
1244C2×D4—434no—
1245C2×D4—438no—
1246C2×D4—438no—
1247C2×D4—432no—
1248C2×D4—434no—
1249C2×D4—431no—
1250C2×D4—432no—
1251C2×D4—438no—
1252C2×D4—434no—
1253C2×D4—868no—
1254C2×D4—864no—
1255C2×D4—8616no—
1256C2×D4—868no—
1257C2×D4—1728no—
1258C2×D4C23×D4312yes—
1259C2×D4C23×D4314yes—
1260C2×D4C23×D4311yescharacteristic
1261C2×D4C23×D4312yes—
1262C2×D4C23×D4318yes—
1263C2×D4C23×D4314yes—
1264C22×C4—431no—
1265C22×C4—438no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—432no—
1271C22×C4—434no—
1272C22×C4—432no—
1273C22×C4—434no—
1274C22×C4—434no—
1275C22×C4—438no—
1276C22×C4—432no—
1277C22×C4—432no—
1278C22×C4—432no—
1279C22×C4—434no—
1280C22×C4—432no—
1281C22×C4—434no—
1282C22×C4—432no—
1283C22×C4—434no—
1284C22×C4—434no—
1285C22×C4—432no—
1286C22×C4—434no—
1287C22×C4—432no—
1288C22×C4—434no—
1289C22×C4—438no—
1290C22×C4—438no—
1291C22×C4—8616no—
1292C22×C4—868no—
1293C22×C4—1724no—
1294C22×C4—1728no—
1295C22×C4C23×D4312yes—
1296C22×C4C23×D4314yes—
1297C22×C4C23×D4312yes—
1298C22×C4C23×D4314yes—
1299C22×C4C23×D4314yes—
1300C22×C4C23×D4318yes—
1301C22×C4C23×D4311yescharacteristic
1302C4⋊C4—432no—
1303C4⋊C4—434no—
1304C4⋊C4—434no—
1305C4⋊C4—438no—
1306C4⋊C4—434no—
1307C4⋊C4—434no—
1308C4⋊C4—434no—
1309C4⋊C4—434no—
1310C4⋊C4—434no—
1311C4⋊C4—438no—
1312C4⋊C4—438no—
1313C4⋊C4—438no—
1314C4⋊C4—438no—
1315C4⋊C4—434no—
1316C4⋊C4—434no—
1317C4⋊C4—438no—
1318C4⋊C4—438no—
1319C4⋊C4—438no—
1320C4⋊C4—438no—
1321C4⋊C4—438no—
1322C4⋊C4C23×D4312yes—
1323C4⋊C4C23×D4314yes—
1324C4⋊C4C23×D4314yes—
1325C4⋊C4C23×D4314yes—
1326C4⋊C4C23×D4314yes—
1327C4⋊C4C23×D4318yes—
1328C4⋊C4C23×D4318yes—
1329C4⋊C4C23×D4318yes—
1330C4⋊C4C23×D4318yes—
1331C22⋊C4—432no—
1332C22⋊C4—438no—
1333C22⋊C4—434no—
1334C22⋊C4—434no—
1335C22⋊C4—434no—
1336C22⋊C4—438no—
1337C22⋊C4—438no—
1338C22⋊C4—434no—
1339C22⋊C4—438no—
1340C22⋊C4—438no—
1341C22⋊C4—434no—
1342C22⋊C4—438no—
1343C22⋊C4—438no—
1344C22⋊C4—434no—
1345C22⋊C4—434no—
1346C22⋊C4—434no—
1347C22⋊C4—434no—
1348C22⋊C4—434no—
1349C22⋊C4—438no—
1350C22⋊C4—438no—
1351C22⋊C4—438no—
1352C22⋊C4—438no—
1353C22⋊C4C23×D4314yes—
1354C22⋊C4C23×D4312yes—
1355C22⋊C4C23×D4314yes—
1356C22⋊C4C23×D4318yes—
1357C22⋊C4C23×D4314yes—
1358C22⋊C4C23×D4318yes—
1359C22⋊C4C23×D4318yes—
1360C42—434no—
1361C42—432no—
1362C42—431no—
1363C42—432no—
1364C42—438no—
1365C42—432no—
1366C42—434no—
1367C42—431no—
1368C42—432no—
1369C42—434no—
1370C42—434no—
1371C42—432no—
1372C42—432no—
1373C42—438no—
1374C42—438no—
1375C42—438no—
1376C42—438no—
1377C42C23×D4311yescharacteristic
1378C42C23×D4312yes—
1379C42C23×D4314yes—
1380C42C23×D4311yescharacteristic
1381C42C23×D4312yes—
1382C42C23×D4318yes—
1383C23—431no—
1384C23—431no—
1385C23—434no—
1386C23—432no—
1387C23—434no—
1388C23—868no—
1389C23—864no—
1390C23—1724no—
1391C23—1724no—
1392C23—1722no—
1393C23—1724no—
1394C23C24×D4314yes—
1395C23C24×D4312yes—
1396C23C24×D4311yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—864no—
1400Q8—868no—
1401Q8—8616no—
1402Q8—862no—
1403Q8—864no—
1404Q8—1728no—
1405D4—28no—
1406D4—24no—
1407D4—22no—
1408D4—24no—
1409D4—44no—
1410D4—48no—
1411D4—864no—
1412D4—868no—
1413D4—868no—
1414D4—864no—
1415D4—868no—
1416D4—868no—
1417D4—864no—
1418D4—868no—
1419D4—868no—
1420D4—864no—
1421D4—862no—
1422D4—864no—
1423D4—1724no—
1424D4—1728no—
1425D4—1728no—
1426D4—1728no—
1427C2×C4—28no—
1428C2×C4—24no—
1429C2×C4—44no—
1430C2×C4—42no—
1431C2×C4—44no—
1432C2×C4—48no—
1433C2×C4—434no—
1434C2×C4—431no—
1435C2×C4—431no—
1436C2×C4—432no—
1437C2×C4—434no—
1438C2×C4—434no—
1439C2×C4—434no—
1440C2×C4—434no—
1441C2×C4—434no—
1442C2×C4—432no—
1443C2×C4—432no—
1444C2×C4—434no—
1445C2×C4—438no—
1446C2×C4—868no—
1447C2×C4—864no—
1448C2×C4—864no—
1449C2×C4—864no—
1450C2×C4—868no—
1451C2×C4—868no—
1452C2×C4—864no—
1453C2×C4—868no—
1454C2×C4—864no—
1455C2×C4—864no—
1456C2×C4—868no—
1457C2×C4—868no—
1458C2×C4—864no—
1459C2×C4—1724no—
1460C2×C4—1724no—
1461C2×C4—1722no—
1462C2×C4—1722no—
1463C2×C4—1728no—
1464C2×C4—1728no—
1465C2×C4—1724no—
1466C2×C4—1728no—
1467C2×C4#41×D4314yes—
1468C2×C4C24×D4314yes—
1469C2×C4C24×D4312yes—
1470C2×C4C24×D4318yes—
1471C2×C4C24×D4312yes—
1472C2×C4C24×D4314yes—
1473C2×C4C24×D4312yes—
1474C2×C4C24×D4311yescharacteristic
1475C2×C4C24×D4311yescharacteristic
1476C22—22no—
1477C22—24no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—432no—
1483C22—432no—
1484C22—862no—
1485C22—862no—
1486C22—864no—
1487C22—862no—
1488C22—864no—
1489C22—864no—
1490C22—864no—
1491C22—3448no—
1492C22—1724no—
1493C22—1728no—
1494C22C2×#41×D4312yes—
1495C22C25×D4311yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—432no—
1503C4—432no—
1504C4—434no—
1505C4—862no—
1506C4—864no—
1507C4—864no—
1508C4—862no—
1509C4—868no—
1510C4C2×#41×D4312yes—
1511C4C2×#41×D4312yes—
1512C2—22no—
1513C2—44no—
1514C2—42no—
1515C2—862no—
1516C2—862no—
1517C2—1724no—
1518C2—1722no—
1519C2C22×#41×D4311yescharacteristic
1520C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3512C2
hypercenter#3512D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #19148519C2semidirect
2. #19148517C2semidirect
3. #19148515C2semidirect
4. #19148504C2semidirect
5. #19148498C2semidirect
6. #19148484C2semidirect
7. #19148477C2semidirect
8. #19148467C2semidirect
9. #19148454C2semidirect
10. #19148441C2semidirect
11. #19148428C2semidirect
12. #19148189C2semidirect
13. #19148154C2semidirect
14. #19148148C2semidirect
15. #19147986C2semidirect
16. #19147979C2semidirect
17. #19147923C2semidirect
18. #19147889C2semidirect
19. C2×#14583455C2semidirect
20. #532×D43C2semidirect
21. #19147795C2semidirect
22. C4×#41×D43C2semidirect
23. C43×#3512C2semidirect
26. #14583633C22semidirect
27. #14583633C22semidirect
28. #14583632C22semidirect
29. #14583626C22semidirect
30. #14583620C22semidirect
31. #14583617C22semidirect
32. #14583617C22semidirect
33. #14583616C22semidirect
34. #14583616C22semidirect
35. #14583613C22semidirect
36. #14583612C22semidirect
37. #14583607C22semidirect
38. #14583604C22semidirect
39. #14583602C22semidirect
40. #14583599C22semidirect
41. #14583598C22semidirect
42. #14583598C22semidirect
43. #14583597C22semidirect
44. #14583595C22semidirect
45. #14583592C22semidirect
46. #14583592C22semidirect
47. #14583590C22semidirect
48. #14583589C22semidirect
49. #14583587C22semidirect
50. #14583585C22semidirect
51. #14583581C22semidirect
52. #14583578C22semidirect
53. #14583577C22semidirect
54. #14583574C22semidirect
55. #14583573C22semidirect
56. #14583567C22semidirect
57. #14583558C22semidirect
58. #14583555C22semidirect
59. #14583550C22semidirect
60. #14583549C22semidirect
61. #14583541C22semidirect
62. #14583538C22semidirect
63. #14583522C22semidirect
64. #14583521C22semidirect
65. #14583516C22semidirect
66. #14583514C22semidirect
67. #14583512C22semidirect
68. #14583511C22semidirect
69. #14583510C22semidirect
70. #14583505C22semidirect
71. #14583504C22semidirect
72. #14583503C22semidirect
73. #14583497C22semidirect
74. #14583492C22semidirect
75. #14583488C22semidirect
76. #14583481C22semidirect
77. #14583480C22semidirect
78. #14583477C22semidirect
79. #14583477C22semidirect
81. #14583472C22semidirect
83. #14583465C22semidirect
85. #14583455C22semidirect
86. #14583455C22semidirect
87. #14583455C22semidirect
88. #14583455C22semidirect
89. #14583455C22semidirect
90. #14583455C22semidirect
91. #14583453C22semidirect
92. #14583451C22semidirect
94. #14583449C22semidirect
98. #14583446C22semidirect
99. #14583445C22semidirect
100. #14583444C22semidirect
101. #14583444C22semidirect
102. #14583444C22semidirect
103. C2×#13063324C22semidirect
104. C4⋊Q8×D43C22semidirect
105. #127×D43C22semidirect
106. #14583434C22semidirect
107. #14583434C22semidirect
108. #14583433C22semidirect
109. #14583432C22semidirect
110. #14583432C22semidirect
111. #14583432C22semidirect
112. #14583430C22semidirect
113. #14583428C22semidirect
114. #14583427C22semidirect
115. #14583426C22semidirect
116. #14583426C22semidirect
117. C2×#13063317C22semidirect
118. #124×D43C22semidirect
120. #14583412C22semidirect
122. #14583409C22semidirect
123. #14583408C22semidirect
124. #14583407C22semidirect
127. #14583382C22semidirect
128. #14583380C22semidirect
129. #14583380C22semidirect
130. #14583379C22semidirect
131. #14583379C22semidirect
132. #14583375C22semidirect
134. #14583371C22semidirect
135. #41×Dic43C22semidirect
137. C4×#10621902C22semidirect
139. C4×#10621898C22semidirect
141. #14583367C22semidirect
142. #14583367C22semidirect
144. C4×#10621900C22semidirect
145. C4×#10621900C22semidirect
146. C4×#10621900C22semidirect
147. C4×#10621900C22semidirect
148. C2×#13063290C22semidirect
149. C4×Q8×D43C22semidirect
151. C4×D4×D43C22semidirect
152. C4×D4×D43C22semidirect
154. C2×#13063283C22semidirect
156. #117×D43C22semidirect
157. #117×D43C22semidirect
159. C2×C42×D43C22semidirect
160. C43×#553C22semidirect
161. C43×#553C22semidirect
162. C43×#552C22semidirect
163. C43×#541C22semidirect
164. C43×#540C22semidirect
165. C43×#537C22semidirect
166. C43×#532C22semidirect
167. C43×#529C22semidirect
168. C2×#125×C43C22semidirect
169. C43×#520C22semidirect
170. C4×#41×C43C22semidirect
514. C2×C4×D43#41semidirect
755. #3512D43semidirect
807. #553C2×D43semidirect
808. #553C2×D43semidirect
814. #552C2×D43semidirect
833. #541C2×D43semidirect
837. #540C2×D43semidirect
845. #537C2×D43semidirect
869. #532C2×D43semidirect
884. #529C2×D43semidirect
886. C2×#125C2×D43semidirect
901. #520C2×D43semidirect
918. C4×#41C2×D43semidirect
931. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485192
#191485172
#191485152
#191485042
#191484982
#191484842
#191484772
#191484672
#191484542
#191484412
#191484282
#191481892
#191481542
#191481482
#191479862
#191479792
#191479232
#191478892
C2×#145834552
#532×D432
#191477952
C4×#41×D432
C43×#35122
#6281543